From e7f371ca06a5598f7e64602a71f341426583e1dc Mon Sep 17 00:00:00 2001
From: Ben Taylor <taylorbf@gmail.com>
Date: Sat, 26 Mar 2016 03:13:04 -0500
Subject: [PATCH] updating API for input (degree,octave)

---
 README.md        |  47 ++++++++++++++-------
 simple-demo.html |  71 +++++++++++++++++++++++++++++++
 tune.js          | 107 ++++++++++++++++++++++++++++++++++-------------
 3 files changed, 182 insertions(+), 43 deletions(-)
 create mode 100644 simple-demo.html

diff --git a/README.md b/README.md
index 156ebbe..d2452b1 100644
--- a/README.md
+++ b/README.md
@@ -30,16 +30,29 @@ Load your scale of choice with the ```loadScale('scale-name') ``` method.
 tune.loadScale('mean19');
 ```
 
-Pass MIDI note numbers to the ```note() ``` method. By default, ```note(midi-note-#) ``` returns the corresponding frequency in Hertz. You can use ```note() ``` to set the frequency of an oscillator.
+Set the root frequency that you'll be working with. This sets your scale to the key of A 440
 
 ```js
-osc.frequency.value = tune.note(60);
+tune.tonicize(220);
 ```
 
+Pass scale degree numbers to the ```note() ``` method. By default, ```note(degree) ``` returns the corresponding frequency in Hertz. You can use ```note() ``` to set the frequency of an oscillator.
+
+```js
+osc.frequency.value = tune.note(2);
+```
+
+Optionally, pass an octave in as a second parameter. This will return the frequency for the third note in the scale, one octave down.
+
+```js
+osc.frequency.value = tune.note(2,-1);
+```
+
+
 
 ### Properties
 
-#### Tune.mode
+#### Tune.mode.output
 
 Set the output mode of `tune.note()`. Choose between 
 
@@ -54,12 +67,12 @@ tune.mode.output = 'ratio';
 
 The default output mode is 'frequency'. Currently the only available input mode is 'MIDI'. 
 
-#### Tune.key
+#### Tune.tonic
 
-Returns the current key of a Tune instance. To set the key of a Tune instance use the ```setKey()``` method. The default key is set to 60 (middle C).
+The current root frequency of this Tune instance. To set the tonic of a Tune instance use the ```tonicize()``` method. The default tonic is set to 440 Hz.
 
 ```js
-var myKey = tune.key;
+var tonic = 200;
 ```
 
 #### Tune.scale
@@ -75,27 +88,31 @@ var scaleLength = tune.scale.length;
 
 ### Methods
 
-#### Tune.note(midi-note-#)
+#### Tune.note(scale-degree-# [, octave-#])
 
-Returns a microtonally tuned note value for any MIDI integer input. By default, `Tune.note` returns a frequency value in hertz.
+Returns a microtonally tuned note value for any scale degree input. By default, `Tune.note` returns a frequency value in hertz.
 
 ```js
-// If the key we are in is C4 (60), this will return the frequency for 7th scale degree of our scale
-var note = tune.note(67);
+// This will return the frequency for 7th scale degree of our scale
+var note = tune.note(7)
 ```
 
 Depending on `Tune.mode`, the `Tune.note` method may return a frequency value in hertz (default, e.g. 392.43834 for a pure G4 over C4), a ratio value as a float (e.g. 1.5 for a pure G over C), or a MIDI float value (e.g. 67.0195 for a pure G4 over C4). See `Tune.mode`.
 
-#### Tune.setKey(midi-note-#)
+An optional second argument lets you specify what octave to be played (i.e. -1 for one octave down, 1 for one octave up). 
+
+Additionally, `tune.note()` automatically wraps scale degrees that are out of range, so that `tune.note(8)` in a 7 note scale will return the second scale degree, one octave up. Therefore, given a 7 note scale, `tune.note(8)` is equivalent to `tune.note(1,1)`
+
+#### Tune.tonicize(frequency)
 
-Sets the key and base frequency of a scale with the ```setKey(midi-note-#) ``` method.
+Sets the scale's root frequency.
 
 ```js
-//sets the base (tonic) frequency to G4 or 392Hz
-tune.setKey(67);
+//sets the base (tonic) frequency to 200 Hz
+tune.tonicize(200);
 ```
 
-#### Tune.chord([array-of-midi-note-#s])
+#### Tune.chord([array-of-scale-degree-#s])
 
 Returns an array of note values. Like `Tune.note()`, `Tune.chord()` returns values according to the current output mode (`Tune.mode`). 
 
diff --git a/simple-demo.html b/simple-demo.html
new file mode 100644
index 0000000..c152d94
--- /dev/null
+++ b/simple-demo.html
@@ -0,0 +1,71 @@
+<!DOCTYPE html>
+<html>
+  <head>
+   
+    <script src="tune.js"></script>
+
+  </head>
+
+  <body style="font-family:helvetica;">
+
+    <h1 style="font-weight:100">Tune.js Simple Demo</h1>
+
+    <h2 style="font-weight:100">Turn up your sound</h2>
+
+  </body>
+  <script>
+      
+
+    /* TUNE SETUP */
+ 
+    // Create a new Tune object
+    var tune = new Tune();
+
+    // Load a 12 tone just intonation scale
+    tune.loadScale('slendro');
+    
+
+
+    /* WEB AUDIO SETUP */
+    var actx = new (AudioContext || wedkitAudioContext)();
+    var osc = actx.createOscillator()
+    var vol = actx.createGain()
+    var echo = actx.createDelay()
+    echo.delayTime.value = 0.3
+    vol.gain.value = 0.5
+    osc.type = "sawtooth"
+    osc.connect(vol).connect(echo).connect(actx.destination)
+    echo.connect(vol)
+    osc.start()
+
+
+    /* PLAYING NOTES */
+
+    changeNote = function() {
+
+      var step = random(tune.scale.length)
+      var octave = random(-3,2)
+
+      var newFreq = tune.note( step, octave )
+
+      osc.frequency.setValueAtTime( newFreq, actx.currentTime)
+
+    }
+
+    setInterval(changeNote, 50)
+
+
+
+
+
+    var random = function(limit,limit2) {
+      if (limit2) {
+        return Math.floor(Math.random() * (limit2-limit)) + limit
+      } else {
+        return Math.floor(Math.random() * limit)
+      }
+    }
+    
+   
+  </script>
+</html>
\ No newline at end of file
diff --git a/tune.js b/tune.js
index 45162d2..a907f51 100644
--- a/tune.js
+++ b/tune.js
@@ -1,11 +1,19 @@
+
+// See all scales at: http://abbernie.github.io/tune/scales.html
+
+
 function Tune(){
 
+	// the scale as ratios
 	this.scale = []
-	this.key = 60
+
+	// i/o modes
 	this.mode = {
 		output: "frequency",
-		input: "MIDI"
+		input: "step"
 	}
+
+	// ET major, for reference
 	this.etmajor = [ 261.62558,
 		293.664764,
 		329.627563,
@@ -15,60 +23,92 @@ function Tune(){
 		493.883301,
 		523.25116
 	]
-	this.middleC = 60;
-	this.rootFreq = 440 * Math.pow(2,(60-69)/12);
+
+	// Root frequency.
+	this.tonic = 440     // * Math.pow(2,(60-69)/12);
+
 	console.log("{{{{ Tune.js v0.1 Loaded }}}}");
 
 }
 
-Tune.prototype.note = function(input){
+/* Set the tonic frequency */
+
+Tune.prototype.tonicize = function(newTonic) {
+	this.tonic = newTonic
+}
+
+
+/* Return data in the mode you are in (freq, ratio, or midi) */
+
+Tune.prototype.note = function(input,octave){
 
 	var newvalue;
 
 	if (this.mode.output == "frequency") { 
-		newvalue = this.frequency(input)
+		newvalue = this.frequency(input,octave)
 	} else if (this.mode.output == "ratio") { 
-		newvalue = this.ratio(input)
+		newvalue = this.ratio(input,octave)
 	} else if (this.mode.output == "MIDI") { 
-		newvalue = this.MIDI(input)
+		newvalue = this.MIDI(input,octave)
 	} else {
-		newvalue = this.frequency(input)
+		newvalue = this.frequency(input,octave)
 	}
 	
 	return newvalue;
 
 }
 
-Tune.prototype.frequency = function(input) {
 
-	var base = 440 * Math.pow(2,(this.key-69)/12)
+/* Return freq data */
+
+Tune.prototype.frequency = function(stepIn, octaveIn) {
+
+	if (this.mode.input == "midi" || this.mode.input == "MIDI" ) {
+		this.stepIn += 60
+	}
 	
 	// what octave is our input
-	var octave = Math.floor((input-this.key)/this.scale.length)
+	var octave = Math.floor(stepIn/this.scale.length)
+
+	if (octaveIn) { 
+		octave += octaveIn
+	}
 	
 	// which scale degree (0 - scale length) is our input
-	var scaleDegree = (input - this.key)
+	var scaleDegree = stepIn % this.scale.length
 
-	scaleDegree =  (scaleDegree+this.scale.length*5) % this.scale.length
+	while (scaleDegree < 0) {
+		scaleDegree += this.scale.length
+	}
 	
-	var freq = base*this.scale[scaleDegree]
+	var freq = this.tonic*this.scale[scaleDegree]
 	
 	freq = freq*(Math.pow(2,octave))
 	
+	// truncate irrational numbers
 	freq = Math.floor(freq*100000000000)/100000000000
 	
 	return freq
 
 }
 
-Tune.prototype.ratio = function(input) {
+/* Force return ratio data */
+
+Tune.prototype.ratio = function(stepIn, octaveIn) {
 
+	if (this.mode.input == "midi" || this.mode.input == "MIDI" ) {
+		this.stepIn += 60
+	}
+	
 	// what octave is our input
-	var octave = Math.floor((input-this.key)/this.scale.length)
+	var octave = Math.floor(stepIn/this.scale.length)
 
+	if (octaveIn) { 
+		octave += octaveIn
+	}
+	
 	// which scale degree (0 - scale length) is our input
-	var scaleDegree = (input - this.key)
-	scaleDegree = ( scaleDegree + 160 ) % this.scale.length
+	var scaleDegree = stepIn % this.scale.length
 
 	// what ratio is our input to our key
 	var ratio = Math.pow(2,octave)*this.scale[scaleDegree]
@@ -79,9 +119,11 @@ Tune.prototype.ratio = function(input) {
 
 }
 
-Tune.prototype.MIDI = function(input) {
+/* Force return adjusted MIDI data */
 
-	var newvalue = this.frequency(input);
+Tune.prototype.MIDI = function(stepIn,octaveIn) {
+
+	var newvalue = this.frequency(stepIn,octaveIn)
 
 	var n = 69 + 12*Math.log(newvalue/440)/Math.log(2)
 
@@ -91,23 +133,22 @@ Tune.prototype.MIDI = function(input) {
 
 }
 
-Tune.prototype.setKey = function(key){
-	this.key = key
-	return this.key
-}
+/* Load a new scale */
 
 Tune.prototype.loadScale = function(name){
+
+	/* load the scale */
 	var freqs = TuningList[name].frequencies
 	this.scale = []
 	for (var i=0;i<freqs.length-1;i++) {
 		this.scale.push(freqs[i]/freqs[0])
 	}
+
+	/* visualize in console */
 	console.log(" ");
 	console.log("LOADED "+name);
 	console.log(TuningList[name].description);
 	console.log(this.scale);
-	// VIS
-	// this scale vis
 	var vis = [];
 	for (var i=0;i<100;i++) {
 		vis[i] = " ";
@@ -149,6 +190,9 @@ Tune.prototype.loadScale = function(name){
 
 }
 
+/* Search the names of tunings
+	 Returns an array of names of tunings */
+
 Tune.prototype.search = function(letters) {
 	var possible = []
 	for (var key in TuningList) {
@@ -159,6 +203,8 @@ Tune.prototype.search = function(letters) {
 	return possible
 }
 
+/* Return a collection of notes as an array */
+
 Tune.prototype.chord = function(midis) {
 	var output = []
 	for (var i=0;i<midis.length;i++) {
@@ -167,13 +213,18 @@ Tune.prototype.chord = function(midis) {
 	return output;
 }
 
+
+/* Change the tonic frequency? */
+
 Tune.prototype.root = function(newmidi, newfreq) {
-	this.middleC = newmidi
 	this.rootFreq = newfreq
 	// not working now ... needs much work.
 	// setKey is not transposing now, either.
 }
 
+
+/* The list of tunings */
+
 var TuningList = {"05-19":{"frequencies":[261.6255653006,302.72962012827,350.29154279212,405.32593044476,469.00678383895,523.2511306012],"description":"5 out of 19-tET"},"05-22":{"frequencies":[261.6255653006,306.26409645618,358.51885197895,394.05926325844,461.29362042034,523.2511306012],"description":"Pentatonic \"generator\" of 09-22"},"05-24":{"frequencies":[261.6255653006,277.18263097687,359.46139971304,380.8360868427,493.88330125613,523.2511306012],"description":"5 out of 24-tET, symmetrical"},"06-41":{"frequencies":[261.6255653006,315.09704114501,325.93328493945,392.54808136619,406.04788267915,505.85469387238,523.2511306012],"description":"Hexatonic scale in 41-tET"},"07-19":{"frequencies":[261.6255653006,291.88463270656,325.64340264099,350.29154279212,390.80553229045,436.00528786292,486.43275040712,523.2511306012],"description":"Nineteen-tone equal major"},"07-37":{"frequencies":[261.6255653006,287.31606401601,315.5292585677,346.51286877509,380.53893346763,417.90621051558,458.9427925181,523.2511306012],"description":"Miller's Porcupine-7"},"08-11":{"frequencies":[261.6255653006,296.76515515861,316.06708432391,336.62443200122,381.83730669135,406.67242132093,433.12283887627,491.29666030217,523.2511306012],"description":"8 out of 11-tET"},"08-13":{"frequencies":[261.6255653006,275.95377065157,307.00725675226,341.55523561635,360.2608752926,400.8015646157,422.75189319389,470.32478922042,523.2511306012],"description":"8 out of 13-tET"},"08-19":{"frequencies":[261.6255653006,281.42815779395,313.97755176024,337.74269681563,363.30663963964,405.32593044476,436.00528786292,469.00678383895,523.2511306012],"description":"8 out of 19-tET, Mandelbaum"},"08-19a":{"frequencies":[261.6255653006,271.34627406517,313.97755176024,325.64340264099,376.80531512858,390.80553229045,452.20508247496,469.00678383895,523.2511306012],"description":"Kleismic, generator is 6/5, in 19-tET"},"08-37":{"frequencies":[261.6255653006,287.31606401601,315.5292585677,346.51286877509,380.53893346763,417.90621051558,458.9427925181,504.00899225951,523.2511306012],"description":"Miller's Porcupine-8"},"09-15":{"frequencies":[261.6255653006,286.95745534843,314.74210513576,329.62755691287,361.54373841775,396.55020354877,415.30469757995,455.51656649021,499.62194879119,523.2511306012],"description":"Charyan scale of Andal, 1/1=a. Boudewijn Rempt, 1999."},"09-19":{"frequencies":[261.6255653006,281.42815779395,302.72962012827,337.74269681563,363.30663963964,390.80553229045,420.38583225541,452.20508247496,486.43275040712,523.2511306012],"description":"9 out of 19-tET, Mandelbaum. Negri[9]"},"09-19a":{"frequencies":[261.6255653006,281.42815779395,313.97755176024,325.64340264099,363.30663963964,390.80553229045,420.38583225541,452.20508247496,486.43275040712,523.2511306012],"description":"Second strictly proper 9 out of 19 scale"},"09-22":{"frequencies":[261.6255653006,278.64197723942,306.26409645618,326.18384711731,358.51885197895,394.05926325844,419.68930726506,461.29362042034,476.05883716226,523.2511306012],"description":"Three interval \"Tryhill\" scale in 22-tET, TL 05-12-2000"},"09-23":{"frequencies":[261.6255653006,286.38150165492,304.17357654595,332.95555429273,353.64114370102,387.10391954126,411.15359414416,450.05839886634,478.01925769169,523.2511306012],"description":"9 out of 23-tET, Dan Stearns"},"09-29":{"frequencies":[261.6255653006,281.0743490329,301.96892109338,324.41675883995,348.53332930799,374.44268531179,402.2780950448,432.1827401118,464.31044382305,523.2511306012],"description":"Cycle of g=124.138 in 29-tET"},"10-13":{"frequencies":[261.6255653006,291.06667557248,307.00725675226,323.82083922433,360.2608752926,379.99095163062,400.8015646157,445.90435511492,470.32478922042,496.08263193681,523.2511306012],"description":"Carl Lumma, 10 out of 13-tET MOS, TL 21-12-1999"},"10-19":{"frequencies":[261.6255653006,281.42815779395,302.72962012827,313.97755176024,337.74269681563,363.30663963964,390.80553229045,420.38583225541,452.20508247496,486.43275040712,523.2511306012],"description":"10 out of 19-tET. Negri[10]"},"10-29":{"frequencies":[261.6255653006,281.0743490329,301.96892109338,324.41675883995,340.3015837153,365.59900408717,392.77699240278,421.97534223334,453.34424596425,487.04505874954,523.2511306012],"description":"10 out of 29-tET, chain of 124.138 cents intervals, Keenan"},"10-48":{"frequencies":[261.6255653006,281.2143451833,302.26980244078,324.90175210669,339.28638158975,364.68988616898,391.99543598175,421.34544350737,452.89298412314,486.80259447109,523.2511306012],"description":"Chain of 10 g=125 generators, in 48-tET"},"10-72":{"frequencies":[261.6255653006,279.86396690685,299.37379946195,320.24370022528,342.56848033562,366.44956000397,391.99543598175,419.32216217931,448.5538823653,479.82340237272,523.2511306012],"description":"Chain of 10 Miracle generators g=116.667, in 72-tET"},"11-19-gould":{"frequencies":[261.6255653006,281.42815779395,302.72962012827,313.97755176024,337.74269681563,363.30663963964,390.80553229045,405.32593044476,436.00528786292,469.00678383895,504.50618240233,523.2511306012],"description":"11 out of 19-tET, Mark Gould, 2002"},"11-19-krantz":{"frequencies":[261.6255653006,281.42815779395,302.72962012827,325.64340264099,350.29154279212,376.80531512858,390.80553229045,420.38583225541,436.00528786292,469.00678383895,504.50618240233,523.2511306012],"description":"11 out of 19-tET, Richard Krantz"},"11-19-mandel":{"frequencies":[261.6255653006,281.42815779395,291.88463270656,313.97755176024,337.74269681563,363.30663963964,376.80531512858,405.32593044476,436.00528786292,469.00678383895,486.43275040712,523.2511306012],"description":"11 out of 19-tET, Joel Mandelbaum"},"11-19-mclaren":{"frequencies":[261.6255653006,291.88463270656,302.72962012827,313.97755176024,350.29154279212,363.30663963964,376.80531512858,390.80553229045,405.32593044476,452.20508247496,469.00678383895,523.2511306012],"description":"11 out of 19-tET, Brian McLaren. Asc: 311313313 Desc: 313131313"},"11-23":{"frequencies":[261.6255653006,277.87962369591,295.14349918609,313.47993226845,332.95555429273,353.64114370102,387.10391954126,411.15359414416,436.69740466987,463.82818261364,492.64451641666,523.2511306012],"description":"11 out of 23-tET, Dan Stearns"},"11-31":{"frequencies":[261.6255653006,279.77706779472,299.18791603519,327.17991022208,349.87955533643,357.79083283678,382.6142546815,409.15991580663,447.44088028055,478.48419305869,511.68128147674,523.2511306012],"description":"Jon Wild, 11 out of 31-tET, chain of \"7/6\"s. TL 9-9-99"},"12-19":{"frequencies":[261.6255653006,271.34627406517,291.88463270656,302.72962012827,325.64340264099,350.29154279212,363.30663963964,390.80553229045,405.32593044476,436.00528786292,452.20508247496,486.43275040712,523.2511306012],"description":"12 out of 19-tET scale from Mandelbaum's dissertation"},"12-22":{"frequencies":[261.6255653006,278.64197723942,296.76515515861,316.06708432391,336.62443200122,347.39920007397,369.99442271164,394.05926325844,419.68930726506,446.9863572706,476.05883716226,507.02222283506,523.2511306012],"description":"Hexachordal 12-tone scale in 22-tET"},"12-22a":{"frequencies":[261.6255653006,269.99974887146,296.76515515861,306.26409645618,316.06708432391,347.39920007397,358.51885197895,394.05926325844,406.67242132093,419.68930726506,461.29362042034,476.05883716226,523.2511306012],"description":"12 out of 22-tET, Pythagorean. Paul Erlich, TL 4-4-2000"},"12-27":{"frequencies":[261.6255653006,282.57123920205,297.45856239026,313.13022722746,329.62755691287,356.01745236555,374.77430422696,394.51936464224,415.30469757995,448.5538823653,472.18603485525,497.0632521039,523.2511306012],"description":"12 out of 27, Herman Miller's Galticeran scale"},"12-31":{"frequencies":[261.6255653006,273.59078691818,292.57243455474,312.87102146627,327.17991022208,349.87955533643,365.88099775759,391.26571058456,409.15991580663,437.54730686196,467.90420651233,489.30340830564,523.2511306012],"description":"12 out of 31-tET, meantone Eb-G#"},"12-43":{"frequencies":[261.6255653006,274.58845431354,292.87686251249,312.38333131717,327.86114002713,349.69766762761,367.0243078905,391.46921901549,410.86553463261,438.23040192475,467.41784811314,490.57722736109,523.2511306012],"description":"12 out of 43-tET (1/5-comma meantone)"},"12-46":{"frequencies":[261.6255653006,277.87962369591,295.14349918609,308.79169616863,327.97605323154,348.35227827259,369.99442271164,392.98113253789,417.39593939523,436.69740466987,463.82818261364,492.64451641666,523.2511306012],"description":"12 out of 46-tET, diaschismic"},"12-50":{"frequencies":[261.6255653006,272.73569398658,292.31087910123,313.29104303136,326.59518553839,350.03605285217,364.90060015836,391.09077971329,407.69874723177,436.9606979923,468.32288027948,488.21056770985,523.2511306012],"description":"12 out of 50-tET, meantone Eb-G#"},"12-55":{"frequencies":[261.6255653006,275.15237829755,293.0485888979,312.10878854255,328.24573110938,349.59519124833,367.67029324081,391.58396987353,411.83001550364,438.61588607285,467.14394139401,491.29666030217,523.2511306012],"description":"12 out of 55-tET (1/6-comma meantone)"},"12-70":{"frequencies":[261.6255653006,280.40333801024,288.85804291902,318.92513586406,322.09885310804,352.12189786394,369.99442271164,388.77409689134,425.01198472693,429.24140321153,473.92093172942,488.21056770985,523.2511306012],"description":"Mix of 7-tET and 5-tET shifted 120 cents"},"12-91":{"frequencies":[261.6255653006,275.95377065157,293.29219730929,311.72001129947,328.79169474006,349.44997425711,368.58797778247,391.74669601491,413.2011249795,439.16292786927,466.75593177597,492.31832217762,523.2511306012],"description":"12 out of 91-tET (1/7-comma meantone)"},"13-19":{"frequencies":[261.6255653006,281.42815779395,291.88463270656,313.97755176024,325.64340264099,350.29154279212,363.30663963964,390.80553229045,405.32593044476,436.00528786292,452.20508247496,486.43275040712,504.50618240233,523.2511306012],"description":"13 out of 19-tET, Mandelbaum"},"13-31":{"frequencies":[261.6255653006,286.10322937235,292.57243455474,319.94548489658,327.17991022208,357.79083283678,365.88099775759,400.11279059885,409.15991580663,447.44088028055,457.55816161244,500.36726155789,511.68128147674,523.2511306012],"description":"13 out of 31-tET"},"14-19":{"frequencies":[261.6255653006,271.34627406517,291.88463270656,302.72962012827,313.97755176024,337.74269681563,350.29154279212,363.30663963964,390.80553229045,405.32593044476,420.38583225541,452.20508247496,469.00678383895,504.50618240233,523.2511306012],"description":"14 out of 19-tET, Mandelbaum"},"14-26":{"frequencies":[261.6255653006,275.95377065157,291.06667557248,307.00725675226,323.82083922433,341.55523561635,350.78339307139,369.99442271164,390.25756504344,411.63044014946,434.173826246,457.95182261008,483.03204650818,509.4858158312,523.2511306012],"description":"Two interlaced diatonic in 26-tET, tetrachordal. Paul Erlich (1996)"},"14-26a":{"frequencies":[261.6255653006,275.95377065157,291.06667557248,307.00725675226,323.82083922433,341.55523561635,360.2608752926,369.99442271164,390.25756504344,411.63044014946,434.173826246,457.95182261008,483.03204650818,509.4858158312,523.2511306012],"description":"Two interlaced diatonic in 26-tET, maximally even. Paul Erlich (1996)"},"15-27-gram":{"frequencies":[261.6255653006,275.36796165301,289.83220434826,297.34679120863,312.96551506771,329.40464305489,346.70726850735,364.91874832438,374.38013180806,394.04518308797,414.74317978616,436.52837938824,459.45788936076,471.37042415325,496.1300809172,522.19028725247],"description":"15 out of 27-ET, Gram tuning"},"15-27":{"frequencies":[261.6255653006,275.40936140075,289.91935960089,297.45856239026,313.13022722746,329.62755691287,346.99405176691,365.2755039332,374.77430422696,394.51936464224,415.30469757995,437.18511000944,460.21829641639,472.18603485525,497.0632521039,523.2511306012],"description":"15 out of 27-tET"},"15-37":{"frequencies":[261.6255653006,276.75024747352,287.31606401601,303.92592454865,315.5292585677,333.77013555008,346.51286877509,366.54491896522,380.53893346763,402.53804665256,417.90621051558,442.06554144669,458.9427925181,485.47446523293,504.00899225951,523.2511306012],"description":"Miller's Porcupine-15"},"16-139":{"frequencies":[261.6255653006,273.63480085543,286.19528887844,299.33233489773,313.07240083829,327.44316847739,342.47358852272,358.19394058828,374.63589419436,391.83257483085,409.81862173644,428.63027096321,448.30541962085,468.88370438651,490.40658135509,512.91741251752,523.2511306012],"description":"g=9 steps of 139-tET. Gene Ward Smith \"Quartaminorthirds\" 7-limit temperament"},"17-31":{"frequencies":[261.6255653006,273.59078691818,279.77706779472,292.57243455474,305.95298478736,312.87102146627,327.17991022208,349.87955533643,365.88099775759,374.15409293384,391.26571058456,409.15991580663,418.41160951721,437.54730686196,457.55816161244,467.90420651233,489.30340830564,523.2511306012],"description":"17 out of 31, with split C#/Db, D#/Eb, F#/Gb, G#/Ab and A#/Bb"},"17-53":{"frequencies":[261.6255653006,275.67629620338,290.48162858661,294.30556868769,310.11139540064,326.76608188608,331.06767743197,348.8478314504,367.58287746967,387.32409620162,392.42288612931,413.49815209867,435.70527569249,441.44096240275,465.14876849982,490.12981126508,516.45247616827,523.2511306012],"description":"17 out of 53-tET, Arabic Pythagorean scale"},"19-31":{"frequencies":[261.6255653006,273.59078691818,279.77706779472,292.57243455474,305.95298478736,312.87102146627,327.17991022208,342.14320575162,349.87955533643,365.88099775759,374.15409293384,391.26571058456,409.15991580663,418.41160951721,437.54730686196,457.55816161244,467.90420651233,489.30340830564,511.68128147674,523.2511306012],"description":"19 out of 31-tET, meantone Gb-B#"},"19-31ji":{"frequencies":[261.6255653006,272.52663052146,279.06726965397,294.32876096318,305.22982618403,313.95067836072,327.03195662575,336.37572681506,348.83408706747,366.27579142084,373.75080757229,392.4383479509,406.97310157871,418.60090448096,436.04260883433,457.84473927605,465.11211608996,490.54793493862,504.56359022259,523.2511306012],"description":"A septimal interpretation of 19 out of 31 tones, after Wilson, XH7+8"},"19-36":{"frequencies":[261.6255653006,271.89678302796,282.57123920205,293.66476791741,305.19382000629,317.17549194805,329.62755691287,342.56848033562,349.22823143301,362.93866220634,377.18735172911,391.99543598175,407.38487419079,423.37848741825,440,457.27406033445,475.22628419761,493.88330125613,503.48470957687,523.2511306012],"description":"19 out of 36-tET, Tomasz Liese, Tuning List, 1997"},"19-50":{"frequencies":[261.6255653006,272.73569398658,280.40333801024,292.31087910123,304.72408298441,313.29104303136,326.59518553839,340.46429857933,350.03605285217,364.90060015836,375.1593523779,391.09077971329,407.69874723177,419.16071913933,436.9606979923,455.51656649021,468.32288027948,488.21056770985,508.94280091833,523.2511306012],"description":"19 out of 50-tET, meantone Gb-B#"},"19-53":{"frequencies":[261.6255653006,272.09440643071,282.98215400248,294.30556868769,302.10513166763,314.19374626607,326.76608188608,339.84149442859,348.8478314504,362.80683626646,377.32440283229,392.42288612931,408.12552912594,418.94150105041,435.70527569249,453.1398459935,471.27205084813,490.12981126508,503.11902634639,523.2511306012],"description":"19 out of 53-tET by Larry H. Hanson, 1978"},"19-55":{"frequencies":[261.6255653006,275.15237829755,278.64197723942,293.0485888979,308.20006306951,312.10878854255,328.24573110938,345.21700307457,349.59519124833,367.67029324081,372.33324354561,391.58396987353,411.83001550364,417.05301810033,438.61588607285,461.29362042034,467.14394139401,491.29666030217,516.69814597997,523.2511306012],"description":"19 out of 55-tET, meantone Gb-B#"},"19-any":{"frequencies":[261.6255653006,279.06726965397,286.15296204753,299.00064605783,305.22982618403,313.95067836072,327.03195662575,343.38355445704,348.83408706747,366.27579142084,373.75080757229,392.4383479509,398.6675280771,418.60090448096,436.04260883433,448.50096908674,457.84473927605,478.40103369253,490.54793493862,523.2511306012],"description":"2 out of 1/7 1/5 1/3 1 3 5 7 CPS"},"20-31":{"frequencies":[261.6255653006,273.59078691818,279.77706779472,292.57243455474,305.95298478736,312.87102146627,327.17991022208,334.57791819083,349.87955533643,365.88099775759,374.15409293384,391.26571058456,400.11279059885,409.15991580663,427.87249484695,437.54730686196,457.55816161244,467.90420651233,489.30340830564,511.68128147674,523.2511306012],"description":"20 out of 31-tET"},"20-55":{"frequencies":[261.6255653006,275.15237829755,278.64197723942,293.0485888979,296.76515515861,308.20006306951,312.10878854255,328.24573110938,332.40868242763,349.59519124833,367.67029324081,372.33324354561,391.58396987353,411.83001550364,417.05301810033,438.61588607285,444.17860098504,461.29362042034,467.14394139401,491.29666030217,523.2511306012],"description":"20 out of 55-tET, J. Chesnut: Mozart's teaching of intonation, JAMS 30/2 (1977)"},"21-any":{"frequencies":[261.6255653006,269.80136421624,283.42769574232,294.32876096318,299.7792935736,305.22982618403,318.85615771011,327.03195662575,343.38355445704,354.2846196779,359.73515228832,381.53728273004,389.71308164569,392.4383479509,419.69101100305,425.14154361347,436.04260883433,457.84473927605,479.64686971777,490.54793493862,495.99846754905,523.2511306012],"description":"1.3.5.7.9.11.13 2)7 21-any, 1.3 tonic"},"22-41":{"frequencies":[261.6255653006,270.62291700757,279.9296876913,289.55652156164,299.51442230393,309.81477882942,320.46936467484,325.93328493945,337.14219105014,348.73657352057,360.72968687058,373.13524769639,385.96743583006,399.24092752271,406.04788267915,420.01194466269,434.45623081785,449.39726116197,464.85211362523,480.83846401576,497.37458508781,514.47938930296,523.2511306012],"description":"22 out of 41 by Stephen Soderberg, TL 17-11-98"},"22-46":{"frequencies":[261.6255653006,273.72380653152,277.87962369591,290.72949452855,295.14349918609,308.79169616863,313.47993226845,327.97605323154,332.95555429273,348.35227827259,353.64114370102,369.99442271164,375.61187043063,392.98113253789,411.15359414416,417.39593939523,436.69740466987,443.32757174584,463.82818261364,470.87026054824,492.64451641666,500.12410163511,523.2511306012],"description":"22 shrutis out of 46-tET by Graham Breed"},"22-53":{"frequencies":[261.6255653006,275.67629620338,279.3053384865,290.48162858661,294.30556868769,310.11139540064,314.19374626607,326.76608188608,331.06767743197,348.8478314504,353.4401143131,367.58287746967,372.42178901277,392.42288612931,413.49815209867,418.94150105041,435.70527569249,441.44096240275,465.14876849982,471.27205084813,490.12981126508,496.58195036371,523.2511306012],"description":"22 shrutis out of 53-tET"},"24-36":{"frequencies":[261.6255653006,271.8968348557,277.18263097687,282.57118533961,293.66476791741,305.19387818096,311.12698372208,317.1754314895,329.62755691287,342.56854563448,349.22823143301,356.01738450312,369.99442271164,384.52019141924,391.99543598175,399.61600264311,415.30469757995,431.60932167676,440,448.55379686399,466.16376151809,484.46508327871,493.88330125613,503.4846136049,523.2511306012],"description":"12 and 18-tET mixed"},"24-41":{"frequencies":[261.6255653006,266.08621391654,275.2369681566,284.70241688741,289.55652156164,299.51442230393,309.81477882942,320.46936467484,325.93328493945,337.14219105014,348.73657352057,354.68244242758,366.8800352764,379.49710772441,392.54808136619,399.24092752271,412.97089467071,427.17304032046,434.45623081785,449.39726116197,464.85211362523,480.83846401576,489.03663618802,505.85469387238,523.2511306012],"description":"24 out of 41-tET neutral third generator, 22 neutral triads, Op de Coul, 2001"},"24-60":{"frequencies":[261.6255653006,273.99891691894,277.18263097687,286.95745534843,293.66476791741,300.52885648597,311.12698372208,314.74210513576,329.62755691287,345.21700307457,349.22823143301,361.54373841775,369.99442271164,378.64263238751,391.99543598175,396.55020354877,415.30469757995,434.94616895528,440,455.51656649021,466.16376151809,477.05982293263,493.88330125613,499.62194879119,523.2511306012],"description":"12 and 15-tET mixed"},"24-94":{"frequencies":[261.6255653006,265.51256119135,275.48458755707,279.57748987366,290.07776015425,294.38747470873,309.98198497505,314.58741860623,326.40257913196,331.25197518754,348.79929894143,353.98144532328,367.27615246113,372.73281132023,386.73177548245,392.47748849606,413.26809526256,419.40806105693,435.16003737285,441.62525396027,465.0193523796,471.92819182319,489.65270022124,496.92751979948,523.2511306012],"description":"24 tone schismic temperament in 94-et, Gene Ward Smith, 2002"},"28-any":{"frequencies":[261.6255653006,265.71346475842,280.31310567921,283.42769574232,289.86923428191,303.67253115248,309.19384990071,318.85615771011,327.03195662575,331.27912489362,340.11323489078,354.2846196779,356.76213450082,364.40703738298,377.90359432309,386.49231237589,392.4383479509,404.89670820331,425.14154361347,436.04260883433,455.50879672872,463.79077485106,472.37949290386,485.87604984397,490.54793493862,515.32308316785,523.2511306012],"description":"6)8 28-any from 1.3.5.7.9.11.13.15, only 26 tones"},"30-29-min3":{"frequencies":[261.6255653006,270.64713651786,280.31310567921,290.69507255622,348.83408706747,392.4383479509,405.97070477679,420.46965851882,436.04260883433,523.2511306012],"description":"30/29 x 29/28 x 28/27 plus 6/5"},"56-any":{"frequencies":[261.6255653006,265.71346475842,269.80136421624,272.79915715198,274.70684356563,283.42769574232,286.15296204753,287.78812183066,292.28481123426,294.32876096318,297.59908052943,305.22982618403,311.77046531655,314.76825825228,318.85615771011,323.76163705949,327.03195662575,335.75280880244,340.11323489078,343.38355445704,350.74177348112,359.73515228832,366.27579142084,367.91095120397,371.99885066179,377.72190990274,382.62738925213,389.71308164569,392.4383479509,396.79877403924,404.70204632437,412.06026534844,419.69101100305,425.14154361347,431.68218274599,441.49314144476,446.39862079415,449.66894036041,457.84473927605,467.65569797482,470.92601754108,478.28423656516,479.64686971777,490.54793493862,495.99846754905,503.62921320365,510.16985233617,515.07533168556,523.2511306012],"description":"3)8 56-any from 1.3.5.7.9.11.13.15, 1.3.5 tonic, only 48 notes"},"7-31strange":{"frequencies":[261.6255653006,279.77706779472,327.17991022208,334.57791819083,391.26571058456,418.41160951721,467.90420651233,523.2511306012],"description":"Strange diatonic-like strictly proper scale"},"70-any":{"frequencies":[220,222.0625,222.37351190476,224.71428571429,226.41666666667,232.6369047619,233.75,238.33333333333,238.75892857143,239.47916666667,240.56770833333,242,242.58928571429,244.88095238095,253.22916666667,253.78571428571,257.125,261.25,262.16666666667,266.84821428571,267.14285714286,273.69047619048,274.93452380952,278.55208333333,280.89285714286,283.02083333333,286,287.375,289.40476190476,290.79613095238,293.85714285714,296.08333333333,298.57142857143,302.5,303.875,311.32291666667,311.66666666667,317.23214285714,318.34523809524,323.45238095238,327.70833333333,328.42857142857,339.625,342.83333333333,343.6681547619,345.71428571429,347.28571428571,348.33333333333,348.95535714286,355.79761904762,357.5,367.32142857143,370.10416666667,374,374.52380952381,378.0349702381,383.16666666667,388.14285714286,393.25,397.93154761905,403.33333333333,405.16666666667,407.11458333333,408.57142857143,410.53571428571,412.40178571429,418,422.97619047619,428.54166666667,434.10714285714,440],"description":"1.3.5.7.11.13.17.19 4)8 70-any, tonic 1.3.5.7"},"79-159":{"frequencies":[130.8127826503,131.95830396199,133.11385654929,134.2795282556,135.45540769356,136.64158425179,137.83814810169,139.04519020427,140.26280231709,141.49107700124,142.73010762833,143.97998838766,145.24081429331,146.5126811914,147.79568491369,149.08992469221,150.39549806687,151.71250428543,153.04104346477,154.38121659847,155.73312556452,157.09687313304,158.47256297411,159.86029966564,161.26018870133,162.67233649868,164.09685040708,165.53383871598,166.98341066311,168.44567644278,169.9207472143,171.40873511035,172.90975324559,174.4239157252,175.95133765357,177.49213514308,179.04642532287,180.61432634779,182.19595740736,183.79143873484,185.40089054545,187.02443731988,188.66220141615,190.31430733466,191.98088066606,193.66204810081,196.21144306466,197.92965733298,199.66291792187,201.41135659124,203.17510625483,204.95430099027,206.74907604934,208.55956786817,210.38591407769,212.22825351405,214.08672622916,215.96147350138,217.85263784625,219.76036302727,221.6847940669,223.62607725755,225.58436017271,227.55979167816,229.55252194328,231.56270245249,233.59048466747,235.63602542406,237.69947888371,239.78100190709,241.88075272852,243.99889096796,246.13557764315,248.29097518186,250.46524743423,252.65856003828,254.87107866722,257.10297257263,259.35441106675,261.6255653006],"description":"79 out of 159 MOS by Ozan Yarman"},"b10_13":{"frequencies":[261.6255653006,281.75060878526,299.00064605783,322.00069575458,348.83408706747,370.63621750918,392.4383479509,425.14154361347,457.84473927605,485.87604984397,523.2511306012],"description":"10-tET approximation with minimal order 13 beats"},"b12_17":{"frequencies":[261.6255653006,277.01530443593,294.32876096318,310.68035879446,327.03195662575,348.83408706747,370.63621750918,392.4383479509,415.52295665389,436.04260883433,465.11211608996,494.18162334558,523.2511306012],"description":"12-tET approximation with minimal order 17 beats"},"b14_19":{"frequencies":[261.6255653006,275.39533189537,289.16509849014,305.22982618403,319.76457981184,336.37572681506,348.83408706747,370.63621750918,392.4383479509,408.78994578219,429.81342870813,450.57736246214,474.19633710734,497.08857407114,523.2511306012],"description":"14-tET approximation with minimal order 19 beats"},"b15_21":{"frequencies":[261.6255653006,274.08392555301,287.78812183066,300.86940009569,313.95067836072,327.03195662575,348.83408706747,361.29244731988,377.90359432309,392.4383479509,415.52295665389,436.04260883433,457.84473927605,477.08191319521,499.46698830115,523.2511306012],"description":"15-tET approximation with minimal order 21 beats"},"b8_11":{"frequencies":[261.6255653006,285.40970760065,313.95067836072,340.11323489078,366.27579142084,404.33041910093,436.04260883433,479.64686971777,523.2511306012],"description":"8-tET approximation with minimal order 11 beats"},"bach2":{"frequencies":[261.6255653006,275.93341798027,293.66476791741,310.42509491746,327.77163799145,349.22823143301,367.9112241576,391.99543598175,413.90012676351,438.75957425603,465.63764214343,491.10256480205,523.2511306012],"description":"Well-temperament for Bach, from Jacob Breetvelt's Tuner"},"badings1":{"frequencies":[261.6255653006,294.32876096318,327.03195662575,359.73515228832,392.4383479509,425.14154361347,457.84473927605,523.2511306012,588.65752192635,654.0639132515],"description":"Henk Badings, harmonic scale, Lydomixolydisch"},"badings2":{"frequencies":[261.6255653006,290.69507255622,327.03195662575,373.75080757229,402.50086969323,436.04260883433,475.68284600109,523.2511306012,581.39014511244,654.0639132515],"description":"Henk Badings, subharmonic scale, Dorophrygisch"},"bagpipe1":{"frequencies":[261.6255653006,271.79210016793,294.00421879736,314.01573591759,329.43721154897,351.04845788167,378.64263238751,393.35634555235,416.02498968576,442.54889406986,469.13512554326,491.60634075178,523.2511306012],"description":"Bulgarian bagpipe tuning"},"bagpipe2":{"frequencies":[261.6255653006,232.55605804498,261.6255653006,294.32876096318,327.03195662575,353.19451315581,392.4383479509,436.04260883433,470.92601754108,523.2511306012],"description":"Highland Bagpipe, from Acustica4: 231 (1954) J.M.A Lenihan and S. McNeill"},"bagpipe3":{"frequencies":[261.6255653006,235.46300877054,261.6255653006,294.32876096318,327.03195662575,348.83408706747,392.4383479509,436.04260883433,470.92601754108,523.2511306012],"description":"Highland Bagpipe, Allan Chatto, 1991. 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nr.82"},"balafon6":{"frequencies":[261.6255653006,279.43321615854,320.24370022528,359.46139971304,389.06292924114,424.52127512829,474.86042406195,522.04355935974],"description":"Observed balafon tuning from Burma, Helmholtz/Ellis p. 518, nr.84"},"balafon7":{"frequencies":[261.6255653006,294.00421879736,323.96475278212,388.6137256405,440.76312290327,523.2511306012],"description":"Observed South Pacific pentatonic balafon tuning, Helmholtz/Ellis p. 518, nr.93"},"bamboo":{"frequencies":[261.6255653006,268.98086109226,277.50302994288,286.29520819723,294.34406205295,303.66981774726,313.29104303136,323.21709932123,332.30396882382,342.83241505062,353.69443592699,363.63813998786,375.1593523779,387.04559340587,397.92692612688,410.5345162762,423.54155496477,435.44892882269,449.24533531117,463.47885582013,478.16333951147,491.60634075178,507.1819925915,523.2511306012],"description":"Pythagorean scale with fifth average from Chinese bamboo 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Chromatic"},"barca":{"frequencies":[261.6255653006,275.93341798027,293.22293791529,310.42509491746,328.38911303185,348.83408706747,367.9112241576,391.5530240856,413.90012676351,438.84215955761,465.11211608996,491.4724221873,523.2511306012],"description":"Barca"},"barca_a":{"frequencies":[261.6255653006,275.93341798027,293.66476791741,310.42509491746,329.13161950368,348.83408706747,368.60431645622,392.4383479509,413.90012676351,439.83440665307,465.63764214343,492.58366930154,523.2511306012],"description":"Barca A"},"barkechli":{"frequencies":[261.6255653006,265.19499215873,275.62199471997,279.38237857051,290.36720431405,294.32876096318,298.34436617857,310.07474405997,314.30517589183,326.6631048533,331.11985608357,348.83408706747,353.59332287831,367.49599295996,372.50983809402,387.15627241873,392.4383479509,397.79248823809,413.43299207996,419.07356785577,435.55080647107,441.49314144476,465.11211608996,471.45776383774,489.99465727995,496.67978412536,516.20836322497,523.2511306012],"description":"Mehdi Barkechli, 27-tone pyth. Arabic scale"},"barlow_13":{"frequencies":[261.6255653006,275.93321340298,294.32876096318,305.22982618403,327.03195662575,343.38355445704,358.80077526939,378.42269266694,397.34382730029,418.60090448096,448.50096908674,470.92601754108,496.67978412536,523.2511306012],"description":"7-limit rational 13-equal, Barlow, On the Quantification of Harmony and Metre"},"barlow_17":{"frequencies":[261.6255653006,272.52663052146,282.55561052465,294.32876096318,310.07474405997,319.76457981184,334.88072358477,348.83408706747,363.36884069528,376.74081403286,392.4383479509,408.78994578219,428.11456140098,441.49314144476,465.11211608996,484.4917875937,502.32108537715,523.2511306012],"description":"11-limit rational 17-equal, Barlow, On the Quantification of Harmony and Metre"},"barnes":{"frequencies":[261.6255653006,276.24519242498,293.00227310437,310.77584116741,328.14198392915,349.6228209638,368.32692341742,391.5530240856,414.36778843034,438.51190905657,466.16376151809,492.21297564769,523.2511306012],"description":"John Barnes' temperament (1979) made after analysis of Wohltemperierte Klavier"},"barton":{"frequencies":[261.6255653006,279.79400733536,285.40970760065,294.32876096318,305.22982618403,332.97799220076,359.73515228832,392.4383479509,428.11456140098,439.67629724129,457.84473927605,479.64686971777,523.2511306012],"description":"Jacob Barton, tetratetradic scale on 6:7:9:11"},"barton2":{"frequencies":[261.6255653006,289.6217982776,304.72408298441,337.33223582731,354.92237405774,373.42974737602,413.39000965417,434.94616895528,481.48922855473,506.59641128799,560.80667602048,590.04985501151],"description":"Jacob Barton, mode of 88CET, TL 17-01-2007"},"beardsley_8":{"frequencies":[261.6255653006,294.32876096318,305.22982618403,336.37572681506,359.73515228832,392.4383479509,425.14154361347,457.84473927605,523.2511306012],"description":"David Beardsley's scale used in \"Sonic Bloom\", 1999"},"becket":{"frequencies":[261.6255653006,277.21176919085,293.63180098233,311.16627887077,329.63881547742,349.36510452864,370.14670828388,392.04008509316,415.41939014292,440.0494382652,466.3511549761,494.0599599767,523.2511306012],"description":"Quasi-equal temperament by the Becket and Co. plan (1840)"},"beep":{"frequencies":[261.6255653006,283.70770825602,305.4389165642,328.83467208739,356.58950853951,383.90325446871,416.30607857962,448.19394456221,486.02313559974,523.2511306012],"description":"Beep temperament, g=268.056439, 5-limit"},"belet":{"frequencies":[261.6255653006,279.06726965397,290.69507255622,294.32876096318,313.95067836072,327.03195662575,348.83408706747,359.73515228832,392.4383479509,418.60090448096,425.14154361347,457.84473927605,490.54793493862,523.2511306012],"description":"Belet, Brian 1992 Proceedings of the ICMC pp.158-161."},"bellingwolde":{"frequencies":[261.6255653006,275.62199471997,293.00227310437,311.47852302926,328.14198392915,349.6228209638,367.49599295996,391.5530240856,414.36778843034,438.51190905657,466.16376151809,491.10256480205,523.2511306012],"description":"Current 1/6-P. comma mod.mean of Freytag organ in Bellingwolde. Ortgies,2002"},"bellingwolde_org":{"frequencies":[261.6255653006,275.62199471997,293.00227310437,311.47852302926,328.14198392915,349.6228209638,367.49599295996,392.4383479509,414.36778843034,438.51190905657,466.16376151809,492.21297564769,523.2511306012],"description":"Original tuning of the Freytag organ in Bellingwolde"},"bemetzrieder2":{"frequencies":[261.6255653006,278.12325072816,294.32876096318,311.47852302926,331.11985608357,348.83408706747,371.66947115233,392.4383479509,416.24372513446,441.49314144476,466.16376151809,496.67978412536,523.2511306012],"description":"Anton Bemetzrieder temperament 2 (1808), is Vallotti in F#."},"bendeler":{"frequencies":[261.6255653006,275.62199471997,292.75527993287,310.07474405997,328.19316432552,348.83408706747,367.49599295996,392.4383479509,413.43299207996,437.5908859861,465.11211608996,492.2897462422,523.2511306012],"description":"J. Ph. 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Bermudo (1555)"},"bethisy":{"frequencies":[261.6255653006,275.07789113252,292.50629850443,309.11318452678,327.03195662575,348.47319596298,367.18493208474,391.22137338448,412.1509129084,437.39882871549,464.15023763114,489.99437596255,523.2511306012],"description":"Bethisy temperament ordinaire, see Pierre-Yves Asselin: Musique et temperament"},"biezen":{"frequencies":[261.6255653006,275.07759559501,292.50627485027,311.03921839762,327.03195662575,349.91912034749,366.77012764335,391.22147055517,412.61639318626,437.39890198442,466.55882736321,490.54793493862,523.2511306012],"description":"Jan van Biezen modified meantone (1974)"},"biezen2":{"frequencies":[261.6255653006,275.07784982081,292.50638298357,310.07474405997,327.03219768913,348.83408706747,366.77046661108,391.22154286826,412.61677690833,437.39914452994,465.11211608996,489.02728905922,523.2511306012],"description":"Jan van Biezen 2, also Siracusa (early 17th cent.), modified 1/4 comma MT"},"biezen3":{"frequencies":[261.6255653006,275.62199471997,293.00227310437,310.77584116741,328.14198392915,349.6228209638,367.49599295996,391.5530240856,413.43299207996,438.51190905657,466.16376151809,491.10256480205,523.2511306012],"description":"Jan van Biezen 3 (2004)"},"biggulp":{"frequencies":[261.6255653006,269.80136421624,294.32876096318,305.22982618403,327.03195662575,343.38355445704,359.73515228832,392.4383479509,404.70204632437,441.49314144476,457.84473927605,490.54793493862,523.2511306012],"description":"Big Gulp"},"bigler12":{"frequencies":[261.6255653006,272.52663052146,294.32876096318,305.22982618403,327.03195662575,348.83408706747,359.73515228832,392.4383479509,408.78994578219,436.04260883433,457.84473927605,490.54793493862,523.2511306012],"description":"Kurt Bigler, JI organ tuning, TL 28-3-2004"},"billeter":{"frequencies":[261.6255653006,276.08926119362,293.33333347996,310.60041853231,328.14198392915,349.42547049952,368.11901510884,391.77416758435,414.13389158342,438.75957425603,465.90062756558,491.65745674141,523.2511306012],"description":"Organ well temperament of Otto Bernhard Billeter"},"blackbeat15":{"frequencies":[261.6255653006,274.44824879236,286.487643165,300.52885648597,315.2582519196,329.08788443061,345.21700307457,362.13663537929,378.0227114949,396.55020354877,415.98575734435,434.23406684571,455.51656649021,477.84215516365,498.80395826933,523.2511306012],"description":"generator g is unique real root of 9g^5+20g^4+80g^3-128 = 0"},"blackchrome2":{"frequencies":[261.6255653006,279.06726965397,294.32876096318,313.95067836072,348.83408706747,353.19451315581,392.4383479509,418.60090448096,465.11211608996,470.92601754108,523.2511306012],"description":"Second 25/24&256/245 scale"},"blackjack":{"frequencies":[261.6255653006,274.52698453615,279.86396690685,293.66476791741,299.37379946195,314.13668154225,320.24370022528,326.46944327063,342.56848033562,349.22823143301,366.44956000397,373.57357677338,391.99543598175,399.61607881612,419.32216217931,427.47405410759,448.5538823653,457.27406033445,479.82340237272,489.15147723638,513.27277840175,523.2511306012],"description":"21 note MOS of \"MIRACLE\" temperament, Erlich & Keenan, miracle1,TL 2-5-2001"},"blackjack_r":{"frequencies":[261.6255653006,274.70684356563,280.31310567921,294.32876096318,299.00064605783,313.95067836072,319.76457981184,327.03195662575,343.38355445704,348.83408706747,366.27579142084,373.75080757229,392.4383479509,398.6675280771,418.60090448096,428.11456140098,448.50096908674,457.84473927605,479.64686971777,490.54793493862,515.07533168556,523.2511306012],"description":"Rational \"Wilson/Grady\"-style version, Paul Erlich, TL 28-11-2001"},"blackjack_r2":{"frequencies":[261.6255653006,267.07609791103,279.79400733536,285.40970760065,299.00064605783,305.22982618403,321.08592105074,326.18252297218,343.38355445704,348.83408706747,366.9553383437,374.60024122586,392.4383479509,400.61414686654,419.69101100305,428.11456140098,448.50096908674,457.84473927605,479.64686971777,489.27378445826,499.46698830115,523.2511306012],"description":"Another rational Blackjack maximising 1:3:7:9:11, Paul Erlich, TL 5-12-2001"},"blackjack_r3":{"frequencies":[261.6255653006,274.70684356563,279.06726965397,293.02063313667,299.00064605783,313.95067836072,320.49131749323,327.03195662575,343.38355445704,348.83408706747,366.27579142084,373.75080757229,392.4383479509,398.6675280771,418.60090448096,427.32175665765,448.50096908674,457.84473927605,480.73697623985,488.36772189445,512.78610798918,523.2511306012],"description":"7-Limit rational Blackjack, Dave Keenan, TL 5-12-2001"},"blackjackg":{"frequencies":[261.6255653006,274.52693220706,279.86402025325,293.66476791741,299.37374239667,314.13674142156,320.24370022528,336.03566410061,342.56854563448,359.46139971304,366.44949015302,384.52019141924,391.99543598175,411.32564531909,419.32224210861,440,448.55379686399,470.67330277891,479.82340237272,489.15138399655,513.2728762395,523.2511306012],"description":"Blackjack on G-D"},"blackwood":{"frequencies":[261.6255653006,272.52663052146,283.88190618179,286.18545789024,298.10985250896,300.52885648597,313.0508927399,326.09467864444,328.7407647026,342.43829718545,345.21700307457,359.60104552068,374.58442093216,377.62397563434,393.35830866491,396.55020354877,413.07312944482,430.28450813229,433.77603961861,451.8500420878,455.51656649021,474.49642428674,494.26710667227,498.27782314702,519.0394000516,523.2511306012],"description":"Blackwood temperament, g=84.663787, p=240, 5-limit"},"blackwood_6":{"frequencies":[261.6255653006,294.32876096318,327.03195662575,359.73515228832,425.14154361347,457.84473927605,523.2511306012],"description":"Easley Blackwood, whole tone scale, arrangement of 4:5:7:9:11:13, 1/1=G, p.114"},"blackwood_9":{"frequencies":[261.6255653006,290.69507255622,294.32876096318,327.03195662575,343.38355445704,348.83408706747,392.4383479509,436.04260883433,490.54793493862,523.2511306012],"description":"Blackwood, scale with pure triads on I II III IV VI and dom.7th on V. page 83"},"blasquinten":{"frequencies":[261.6255653006,286.29520819723,313.29104303136,342.83241505062,375.1593523779,387.04559340587,410.5345162762,423.54155496477,449.24533531117,463.47885582013,491.60634075178,507.1819925915,537.96172218451,555.00605988575,588.68812410589,607.33963549452,644.19770621608,664.60793764765,704.94149227887,727.27627997571,795.85385225376,870.89785764539,953.01804006282,1042.8816384286],"description":"Blasquintenzirkel. 23 fifths in 2 oct. C. Sachs, Vergleichende Musikwiss. p. 28"},"boeth_chrom":{"frequencies":[261.6255653006,275.62199471997,293.75502068839,348.83408706747,392.4383479509,413.43299207996,440.63253103259,523.2511306012],"description":"Boethius's Chromatic. The CI is 19/16"},"boeth_enh":{"frequencies":[261.6255653006,268.4414617914,275.62199471997,348.83408706747,392.4383479509,402.6621926871,465.11211608996,413.43299207996,523.2511306012],"description":"Boethius's Enharmonic, with a CI of 81/64 and added 16/9"},"bohlen-eg":{"frequencies":[261.6255653006,284.8811711051,311.45900631024,336.37572681506,366.27579142084,400.44729382745,436.04260883433,470.92601754108,512.78610798918,560.62621135843,610.45965236807,659.29642455751,720.80512888941,784.8766959018],"description":"Bohlen-Pierce with two tones altered by minor BP diesis, slightly more equal"},"bohlen-p":{"frequencies":[261.6255653006,282.55561052465,311.45900631024,336.37572681506,366.27579142084,400.44729382745,436.04260883433,470.92601754108,512.78610798918,560.62621135843,610.45965236807,659.29642455751,726.73768139056,784.8766959018],"description":"See Bohlen, H. 13-Tonstufen in der Duodezime, Acustica 39: 76-86 (1978)"},"bohlen-p_9":{"frequencies":[261.6255653006,284.69629445872,337.12043918596,366.84847565362,434.40017432099,472.70655602525,559.75102196641,609.11112257023,721.27320639821,784.8766959018],"description":"Bohlen-Pierce subscale by J.R. Pierce with 3:5:7 triads"},"bohlen-p_9a":{"frequencies":[261.6255653006,284.8811711051,336.37572681506,366.27579142084,432.48307733364,470.92601754108,560.62621135843,610.45965236807,720.80512888941,784.8766959018],"description":"Pierce's 9 of 3\\13, see Mathews et al., J. Acoust. Soc. Am. 84, 1214-1222"},"bohlen-p_eb":{"frequencies":[261.6255653006,285.64716577792,310.52539481251,337.57037483941,366.97081743676,400.66487311199,435.56048445912,473.4953033161,514.73403019061,561.99521570136,610.94177766889,664.15130078898,721.99506804518,784.8766959018],"description":"Bohlen-Pierce scale with equal beating 5/3 and 7/3"},"bohlen-p_ebt":{"frequencies":[261.6255653006,284.53203461485,309.6799254451,337.28855896472,366.73973410417,399.07273713742,434.56955282349,472.43534898815,514.00634985613,559.64511399305,608.32971008946,661.77814155808,720.45654909781,784.8766959018],"description":"Bohlen-Pierce scale with equal beating 7/3 tenth"},"bohlen-p_ebt2":{"frequencies":[261.6255653006,284.5954076419,309.70820737029,337.16389368188,367.18104441618,399.33882219306,434.49674384919,472.93470278192,514.95871195695,559.97960434325,609.2006926244,663.01383819518,721.84745072846,784.8766959018],"description":"Bohlen-Pierce scale with equal beating 7/5 tritone"},"bohlen-p_et":{"frequencies":[261.6255653006,284.69629445872,309.80145226022,337.12043918596,366.84847565362,399.19799705513,434.40017432099,472.70655602525,514.39088038704,559.75102196641,609.11112257023,662.82390755693,721.27320639821,784.8766959018],"description":"13-tone equal division of 3/1. Bohlen-Pierce equal approximation"},"bohlen47":{"frequencies":[261.6255653006,277.52349357863,303.19994295657,321.62417814738,341.1679796516,351.38081900843,372.73281132023,395.38227791356,419.40806105693,458.21165822114,486.05532888913,563.29337300176,597.52243480304,652.80515826392,692.47348950549,734.55230492227,779.18807989593,802.51301999392,851.2784929682,903.00724665589,986.55339821839,1046.5022612024],"description":"Heinz Bohlen, mode of 4\\47 (1998), members.aol.com/bpsite/pythagorean.html"},"bohlen47r":{"frequencies":[261.6255653006,277.6434570537,303.42373253797,322.00069575458,340.11323489078,341.71502406609,352.18826098158,373.75080757229,394.45085229937,418.60090448096,457.84473927605,485.87604984397,563.50121757052,598.00129211566,654.0639132515,694.10864263424,732.55158284168,777.40167975035,801.22829373309,805.00173938646,850.28308722695,902.34123542452,986.12713074842,1046.5022612024],"description":"Rational version, with alt.9 64/49 and alt.38 40/13"},"bohlen5":{"frequencies":[261.6255653006,282.55561052465,313.95067836072,339.06673262958,363.36884069528,406.88007915549,436.04260883433,470.92601754108,504.67894541011,565.1112210493,605.61473449213,654.0639132515,726.73768139056,784.8766959018],"description":"5-limit version of Bohlen-Pierce"},"bohlen_11":{"frequencies":[261.6255653006,290.69507255622,313.95067836072,348.83408706747,392.4383479509,436.04260883433,470.92601754108,523.2511306012,588.65752192635,654.0639132515,706.38902631162,784.8766959018],"description":"11-tone scale by Bohlen, generated from the 1/1 3/2 5/2 triad"},"bohlen_12":{"frequencies":[261.6255653006,287.78812183066,313.95067836072,341.25073734861,373.75080757229,411.12588832951,457.84473927605,499.46698830115,549.41368713126,601.73880019138,654.0639132515,719.47030457665,784.8766959018],"description":"12-tone scale by Bohlen generated from the 4:7:10 triad, Acustica 39/2, 1978"},"bohlen_8":{"frequencies":[261.6255653006,290.69507255622,313.95067836072,336.37572681506,366.27579142084,406.97310157871,436.04260883433,470.92601754108,523.2511306012],"description":"See Bohlen, H. 13-Tonstufen in der Duodezime, Acustica 39: 76-86 (1978)"},"bohlen_coh":{"frequencies":[261.6255653006,283.77689858316,309.9519127565,336.21627777233,367.18939245566,398.3454921225,434.93712711029,471.95440542227,515.13731812109,559.16292835593,609.72961640823,662.48023246135,721.80170799679,784.8766959018],"description":"Differentially coherent Bohlen-Pierce, interval=2"},"bohlen_d_ji":{"frequencies":[261.6255653006,311.45900631024,336.37572681506,400.44729382745,436.04260883433,470.92601754108,560.62621135843,610.45965236807,726.73768139056,784.8766959018],"description":"Bohlen's delta scale, just version. \"Dur\" form, \"moll\" is inversion."},"bohlen_delta":{"frequencies":[261.6255653006,309.80145226022,337.12043918596,399.19799705513,434.40017432099,472.70655602525,559.75102196641,609.11112257023,721.27320639821,784.8766959018],"description":"Bohlen's delta scale, a mode B-P, see Acustica 39: 76-86 (1978)"},"bohlen_enh":{"frequencies":[261.6255653006,282.55561052465,284.8811711051,286.03378130532,288.38796880578,305.16005936662,307.67166479351,308.91648380975,311.45900631024,332.28539797699,335.02025721959,336.37572681506,339.14425131559,363.28578496026,366.27579142084,367.75771882113,370.78453132171,395.57785473451,398.83363954714,400.44729382745,403.74315632809,427.22408311327,430.74033071091,432.48307733364,436.04260883433,470.92601754108,474.80195184183,476.7229688422,480.64661467629,508.60009894437,512.78610798918,514.86080634958,519.0983438504,553.80899662831,558.36709536599,560.62621135843,565.24041885932,605.4763082671,610.45965236807,612.92953136854,617.97421886952,659.29642455751,664.72273257856,667.41215637908,672.90526054681,712.04013852211,717.90055118485,720.80512888941,726.73768139056,784.8766959018],"description":"Bohlen-Pierce scale, all enharmonic tones"},"bohlen_eq":{"frequencies":[261.6255653006,284.8811711051,308.91648380975,336.37572681506,366.27579142084,398.83363954714,436.04260883433,470.92601754108,514.86080634958,560.62621135843,610.45965236807,664.72273257856,720.80512888941,784.8766959018],"description":"Most equal selection from all enharmonic Bohlen-Pierce tones"},"bohlen_g_ji":{"frequencies":[261.6255653006,282.55561052465,336.37572681506,366.27579142084,436.04260883433,470.92601754108,512.78610798918,610.45965236807,726.73768139056,784.8766959018],"description":"Bohlen's gamma scale, just version"},"bohlen_gamma":{"frequencies":[261.6255653006,284.69629445872,337.12043918596,366.84847565362,434.40017432099,472.70655602525,514.39088038704,609.11112257023,721.27320639821,784.8766959018],"description":"Bohlen's gamma scale, a mode of the Bohlen-Pierce scale"},"bohlen_h_ji":{"frequencies":[261.6255653006,282.55561052465,336.37572681506,366.27579142084,436.04260883433,470.92601754108,560.62621135843,610.45965236807,659.29642455751,784.8766959018],"description":"Bohlen's harmonic scale, just version"},"bohlen_harm":{"frequencies":[261.6255653006,284.69629445872,337.12043918596,366.84847565362,434.40017432099,472.70655602525,559.75102196641,609.11112257023,662.82390755693,784.8766959018],"description":"Bohlen's harmonic scale, inverse of lambda"},"bohlen_l_ji":{"frequencies":[261.6255653006,311.45900631024,336.37572681506,366.27579142084,436.04260883433,470.92601754108,560.62621135843,610.45965236807,726.73768139056,784.8766959018],"description":"Bohlen's lambda scale, just version"},"bohlen_lambda":{"frequencies":[261.6255653006,309.80145226022,337.12043918596,366.84847565362,434.40017432099,472.70655602525,559.75102196641,609.11112257023,721.27320639821,784.8766959018],"description":"Bohlen's lambda scale, a mode of the Bohlen-Pierce scale"},"bohlen_lambda_pyth":{"frequencies":[261.6255653006,306.39471659497,336.37572681506,369.29040698809,432.48307733364,474.80195184183,556.04967085754,610.45965236807,714.92100538827,784.8766959018],"description":"Dave Benson's BP-Pythagorean scale, lambda mode of bohlen_pyth"},"bohlen_mean":{"frequencies":[261.6255653006,284.10386475185,310.60934614102,337.29604814052,366.27579142084,400.44729382745,434.85285530295,472.21446668638,512.78610798918,560.62621135843,608.79399650832,661.10025236644,722.77724674138,784.8766959018],"description":"1/3 minor BP diesis (245/243) tempered 7/3 meantone scale"},"bohlen_pyth":{"frequencies":[261.6255653006,287.22587210185,306.39471659497,336.37572681506,369.29040698809,393.93606419354,432.48307733364,474.80195184183,521.26176788854,556.04967085754,610.45965236807,670.19370157098,714.92100538827,784.8766959018],"description":"Cycle of 13 7/3 BP tenths"},"bohlen_t":{"frequencies":[261.6255653006,311.12698372208,349.22823143301,391.99543598175,440,523.2511306012,587.32953583482,659.25511382574,783.9908719635],"description":"Bohlen, scale based on the twelfth"},"bohlen_t_ji":{"frequencies":[261.6255653006,313.95067836072,348.83408706747,392.4383479509,436.04260883433,523.2511306012,588.65752192635,654.0639132515,784.8766959018],"description":"Bohlen, scale based on twelfth, just version"},"bolivia":{"frequencies":[261.6255653006,315.83481057014,401.62159853282,478.71605466184,581.25458464818,714.36935367713,884.07587347381,1042.8816384286],"description":"Observed scale from pan-pipe from La Paz. 1/1=171 Hz."},"boomsliter":{"frequencies":[261.6255653006,294.32876096318,305.22982618403,313.95067836072,327.03195662575,348.83408706747,366.27579142084,392.4383479509,418.60090448096,436.04260883433,457.84473927605,470.92601754108,523.2511306012],"description":"Boomsliter & Creel basic set of their referential tuning."},"bossard":{"frequencies":[261.6255653006,274.07014518412,292.83688305781,312.18279369479,327.40170814054,349.6228209638,366.25311135453,391.77416758435,410.40944475691,437.76975193523,466.42704408487,489.71807046353,523.2511306012],"description":"Ferdinand Bossard's Modified meantone (1743/44), organ in Klosterkirche Muri"},"boulliau":{"frequencies":[261.6255653006,277.01530443593,294.32876096318,311.64221749042,331.11985608357,348.83408706747,369.35373924791,392.4383479509,415.52295665389,441.49314144476,465.11211608996,492.47165233054,523.2511306012],"description":"Monsieur Boulliau's irregular temp. (1373), reported by Mersenne in 1636."},"bourdelle1":{"frequencies":[77.78174593052,82.41186975189,87.31759847613,92.51538399642,98.02257993096,103.85754467225,110.03990941077,116.59022661317,123.53053420608,130.88397994,138.67507673308,146.93003699824,155.6763931983,164.9433015576,174.76193971839,185.16494846488,196.1873277423,207.86584008347,220.23941613767,233.34968563863,247.24037478201,261.95778857067,277.5514423601,294.07317522211,311.57857297415,330.12602072012,349.77734689864,370.59866654974,392.65942424866,416.03316015153,440.79851299607,467.03808174515,494.83933673906,524.29581268736,555.50543380924,588.57320194179,623.6094067857,660.73084251502,700.06240071147,741.73526246244,785.8883454244,832.67019849533,882.23634185498,934.75353613429,990.39693998366,1049.35204225451,1111.81719184765,1178.00072645989,1248.12327076493,1322.42074547275,1401.14661752202,1484.56517224177,1572.95648748265,1666.61834118016,1765.86443947114,1871.02814716353,1982.4639004832,2100.54510070733,2225.66855292323,2358.25478587764,2498.75091546573,2647.62799199112,2805.38659708793,2972.55896637664,3149.70583568718,3337.42310123723,3536.34230443913,3747.13493124262,3970.50843983823,4207.21463738183,4458.05040600126,4723.86290431955,5005.54478612738,5304.04468163215,5620.37124601817,5955.5872100105,6310.82198625592,6687.27260148396,7086.21184259809,7508.98076179243,7957.00457703055,8431.79872482328,8934.95478673967,9468.17975097327,10033.27316050886,10632.13012906637,11266.78319627398,11939.36824676477,12652.16258838844],"description":"Compromis Cordier, piano tuning by Jean-Pierre Chainais"},"bpg55557777":{"frequencies":[261.6255653006,263.77886213435,282.55561052465,284.8811711051,311.45900631024,336.37572681506,339.14425131559,363.28578496026,366.27579142084,400.44729382745,432.48307733364,436.04260883433,439.63143689058,467.08172352034,470.92601754108,474.80195184183,512.78610798918,560.62621135843,565.24041885932,605.4763082671,610.45965236807,659.29642455751,720.80512888941,726.73768139056,778.46953920056,784.8766959018],"description":"Bohlen-Pierce extended to [55557777]"},"bps_temp17":{"frequencies":[261.6255653006,268.97076226838,290.20623663174,313.11827006656,337.83922836189,347.32414117195,374.745682582,404.3321784083,436.25455367489,448.50249902056,483.91215931052,522.11744291271,563.33906670606,579.15493852212,624.87972193605,674.21451655629,727.44433589053,784.8766959018],"description":"Bohlen-Pierce-Stearn temperament. Highest 7-limit error 8.4 cents, 2001"},"brac":{"frequencies":[261.6255653006,275.94406097886,292.35259906814,310.43706860122,327.70305998733,349.24170217637,365.66485594685,391.09614122774,413.9160914683,438.08068437887,465.65560290183,489.83968338734,523.2511306012],"description":"Circulating temperament with simple beat ratios: 4 3/2 4 3/2 2 2 177/176 4 3/2 2 3/2 2"},"breed-blues1":{"frequencies":[261.6255653006,296.76515515861,326.18384711731,336.62443200122,394.05926325844,433.12283887627,446.9863572706,523.2511306012],"description":"Graham Breed's blues scale in 22-tET"},"breed-blues2":{"frequencies":[261.6255653006,294.83694510625,301.96892109338,324.41675883995,340.3015837153,392.77699240278,432.1827401118,453.34424596425,523.2511306012],"description":"Graham Breed's blues scale in 29-tET"},"breed-dias13":{"frequencies":[261.6255653006,265.18282201878,268.7884458579,272.44309445349,277.80723207771,281.58450683115,285.41314023519,289.29383060041,294.98974271112,299.00064372092,303.06607993849,307.18679286528,313.2349998737,317.49397703593,321.8108624347,326.18644343368,332.60873494833,337.13113189207,341.71501872458,346.36123150834,353.18074483545,357.98285420062,362.85025663369,369.99442271164,375.02514340732,380.12426554142,385.29271915102,392.87875532962,398.22062851476,403.6351338001,409.12325874596,417.17849490302,422.85076550841,428.60016054426,434.42772865197,442.98118503133,449.00428829598,455.10928617413,461.29729216616,470.37978392769,476.77541901996,483.25801394687,489.82875107935,499.47299931533,506.26420750755,513.14775404192,523.2511306012],"description":"13-limit Diaschismic temperament, g=103.897, oct=1/2, 13-limit"},"breed-ht":{"frequencies":[261.6255653006,279.05070483877,285.7030274277,292.513933828,311.99634404065,319.43405975416,327.04908589289,348.8316511822,357.14748996224,365.66156888935,390.0158549635,399.31348882368,408.83277007153,436.06240284112,446.45774319568,457.10090187102,487.54535399853,499.16800506264,511.06772692108,523.2511306012],"description":"Hemithird temperament, g=193.202, 5-limit"},"breed-kleismic":{"frequencies":[261.6255653006,272.15636435185,314.21163216373,326.8590947849,377.36736126409,392.55693131015,453.21723193171,523.2511306012],"description":"Kleismic temperament, g=317.080, 5-limit"},"breed-magic":{"frequencies":[261.6255653006,294.31638753142,304.49289511862,315.02127520293,325.91369075655,366.63748819917,379.31462743886,392.4300989097,405.99906091177,456.72974203193,472.52198019909,488.86026009219,505.76346771665,523.2511306012],"description":"Graham Breed's Magic temperament, g=380.384, 9-limit, close to 41-tET"},"breed-magic5":{"frequencies":[261.6255653006,273.91776595284,283.59320662662,293.61040566482,303.98143643885,314.71879896063,325.83542931914,341.14446256364,353.19451315581,365.67019921176,378.58655645252,391.95915298383,405.80409975455,424.87037645406,439.87782990318,455.41538042156,471.50175486263,488.15633901682,505.39920634693,523.2511306012],"description":"Magic temperament, g=379.967949, 5-limit"},"breed-mult29":{"frequencies":[261.6255653006,263.9880285521,267.95417262175,270.37378281992,274.43586616969,276.91400567404,281.0743490329,283.61243364159,287.87341387594,290.47289363467,294.83694510625,297.49930513669,301.96892109338,304.69568244164,309.2734164419,312.06613694752,316.75460431924,319.61487950522,324.41675883995,327.34622282429,332.26425750751,335.2645839368,340.3015837153,343.3744867209,348.53332930799,351.68056448536,356.96419720496,360.18756261663,365.59900408717,368.90034129001,374.44268531179,377.82387824627,383.50028913155,386.96327163554,392.77699240278,396.32374292998,402.2780950448,405.91063990684,412.00902517967,415.72943970377,421.97534223334,425.78575194796,432.1827401118,436.08532196101,442.63705045414,446.63403404133,453.34424596425,457.43791746817,464.31044382305,468.50313943963,475.54190918343,479.83602426238,487.04505874954,491.44304658302,498.82646444278,503.33083766704,510.89285715645,515.50618918729,523.2511306012],"description":"Multiple-29 temperament, g=15.563, oct=1/29, 15-limit"},"breed":{"frequencies":[261.6255653006,265.19499215873,268.81311753311,279.38237857051,283.19406633357,294.32876096318,298.34436617857,310.07474405997,314.30517589183,318.59332496145,331.11985608357,335.63741195089,348.83408706747],"description":"Graham Breed's fourth based 12-tone keyboard scale. Tuning List 23-10-97"},"breed4-3":{"frequencies":[261.6255653006,293.66476791741,320.24370022528,349.22823143301,391.99543598175,427.47405410759,479.82340237272,523.2511306012],"description":"Graham Breed's neutral third chain subset of 7+3 scale in 24-tET"},"breed7-3":{"frequencies":[261.6255653006,285.30470202322,293.66476791741,320.24370022528,349.22823143301,380.8360868427,391.99543598175,427.47405410759,466.16376151809,479.82340237272,523.2511306012],"description":"Graham Breed's 7 + 3 scale in 24-tET"},"breedball3":{"frequencies":[261.6255653006,267.07609791103,274.70684356563,280.31310567921,320.49131749323,327.03195662575,366.27579142084,373.75080757229,392.4383479509,400.61414686654,448.50096908674,457.84473927605,523.2511306012],"description":"Third Breed ball around 49/40-7/4"},"breedball4":{"frequencies":[261.6255653006,267.07609791103,274.70684356563,280.31310567921,313.95067836072,320.49131749323,327.03195662575,366.27579142084,373.75080757229,392.4383479509,400.61414686654,448.50096908674,457.84473927605,467.18850946536,523.2511306012],"description":"Fourth Breed ball around 49/40-7/4"},"breedpump":{"frequencies":[261.6255653006,266.96486255163,274.82130475045,280.42990280658,305.10270005901,311.3292857745,320.49131749323,327.03195662575,366.27579142084,373.75080757229,392.60186392921,400.61414686654,427.14378008261,435.8610000843,457.84473927605,467.18850946536,523.2511306012],"description":"Comma pump in breed (2401/2400 planar) [[1, 1, -2]->[1, 1, -1]->[0, 1, -1]->[0, 0, -1]->[0, 0, 0]->[0, -1, 0],[0, -1, 1]->[0, -2, 1]->[-1, -2, 1]"},"breedt1":{"frequencies":[261.6255653006,275.62199471997,292.34127285051,310.07474405997,326.6631048533,348.83408706747,367.49599295996,391.11111150212,413.43299207996,437.02884834934,465.11211608996,489.99465727995,523.2511306012],"description":"Graham Breed's 1/4 P temperament, TL 10-06-99"},"breedt2":{"frequencies":[261.6255653006,276.37000081643,293.53214922797,310.91625060765,328.43856194079,349.78078158391,368.4933346061,392.4383479509,414.55500101742,439.10654054756,466.37437567834,492.65784266492,523.2511306012],"description":"Graham Breed's 1/5 P temperament, TL 10-06-99"},"breedt3":{"frequencies":[261.6255653006,276.55731914056,293.33333347996,311.12698372208,328.88393162803,350.01785633742,368.74309237173,392.4383479509,414.83597850347,438.51190905657,466.69047534984,491.65745674141,523.2511306012],"description":"Graham Breed's other 1/4 P temperament, TL 10-06-99"},"brown":{"frequencies":[261.6255653006,272.52663052146,275.62199471997,275.93321340298,279.38237857051,287.10624449997,290.69507255622,291.02331101095,294.32876096318,306.24666079997,306.59245933664,310.07474405997,310.42486507835,322.99452506247,327.03195662575,331.11985608357,344.52749339997,344.91651675372,348.83408706747,349.22797321314,363.36884069528,367.49599295996,367.91095120397,372.50983809402,382.80832599996,387.59343007496,388.03108134794,392.4383479509,408.78994578219,413.43299207996,413.89982010446,430.65936674996,436.04260883433,436.53496651643,441.49314144476,459.36999119996,459.88868900496,465.11211608996,465.63729761752,484.4917875937,489.99465727995,490.54793493862,496.67978412536,516.79124009995,517.37477513058,523.2511306012],"description":"Tuning of Colin Brown's Voice Harmonium, Glasgow. Helmholtz/Ellis p. 470-473"},"bruder":{"frequencies":[261.6255653006,276.38325105256,293.66476791741,310.22971009486,327.53979283172,349.02656754477,368.60786575306,391.65594491223,414.34624765043,439.23819834286,465.62553897253,491.60634075178,523.2511306012],"description":"Ignaz Bruder organ temperament (1829) according to P. Vier"},"burma3":{"frequencies":[261.6255653006,287.71029735626,317.68827763215,350.39147881787,389.32370520689,429.81331927092,476.14308821464,523.2511306012],"description":"Burmese scale, von Hornbostel"},"burt-forks":{"frequencies":[261.6255653006,271.31540105247,279.06726965397,290.69507255622,294.32876096318,313.95067836072,327.03195662575,336.37572681506,348.83408706747,366.27579142084,373.75080757229,392.4383479509,406.97310157871,418.60090448096,436.04260883433,465.11211608996,470.92601754108,490.54793493862,504.56359022259,523.2511306012],"description":"Warren Burt 19-tone Forks. Interval 5(3): pp. 13+23 Winter 1986-87"},"burt1":{"frequencies":[261.6255653006,272.09058791262,283.42769574232,295.75063903546,309.19384990071,340.11323489078,358.01393146398,377.90359432309,415.52295665389,425.14154361347,453.48431318771,485.87604984397,523.2511306012],"description":"W. Burt's 13diatsub #1"},"burt10":{"frequencies":[261.6255653006,265.11390617127,268.69652652494,272.3773008609,276.16031892841,355.06326719367,368.21375857121,382.37582620857,386.08821287079,389.87339142835,393.73352401674,397.67085925691,523.2511306012],"description":"W. Burt's 19enhsub #10"},"burt11":{"frequencies":[261.6255653006,344.24416486921,347.6866065179,351.12904816659,354.57148981529,358.01393146398,371.78369805875,385.55346465352,495.71159741166,502.59648070905,509.48136400643,516.36624730382,523.2511306012],"description":"W. Burt's 19enhharm #11"},"burt12":{"frequencies":[261.6255653006,302.93486508491,316.70463167967,330.47439827444,344.24416486921,358.01393146398,371.78369805875,385.55346465352,440.63253103259,468.17206422213,495.71159741166,509.48136400643,523.2511306012],"description":"W. Burt's 19diatharm #12"},"burt13":{"frequencies":[261.6255653006,273.51763645063,286.54228580542,293.53112204458,300.86940009569,334.29933343966,353.96400011258,376.08675011961,401.15920012759,429.81342870813,445.73244458621,462.87600014722,523.2511306012],"description":"W. Burt's 23diatsub #13"},"burt14":{"frequencies":[261.6255653006,264.50057151269,267.43946675172,270.4444045804,273.51763645063,334.29933343966,353.96400011258,376.08675011961,382.05638107389,388.21858076863,394.58281979763,401.15920012759,523.2511306012],"description":"W. Burt's 23enhsub #14"},"burt15":{"frequencies":[261.6255653006,341.25073734861,346.93824963775,352.6257619269,358.31327421604,364.00078650518,386.75083566176,409.50088481833,500.50108144463,506.18859373377,511.87610602291,517.56361831206,523.2511306012],"description":"W. Burt's 23enhharm #15"},"burt16":{"frequencies":[261.6255653006,295.75063903546,307.12566361375,318.50068819203,341.25073734861,364.00078650518,386.75083566176,409.50088481833,455.00098313148,466.37600770977,477.75103228805,500.50108144463,523.2511306012],"description":"W. Burt's 23diatharm #16"},"burt17":{"frequencies":[261.6255653006,262.27760655527,262.77528702311,280.51080915002,281.04308772525,281.33584094163,286.12102533302,286.66394947976,306.91182648178,308.56189006502,309.14739649778,336.61297098002,337.2517052703,337.60300912996,338.42271813583,339.41807907152,363.01398831179,369.18841978454,370.27426807802,396.01525997649,398.14437427744,399.31538714296,403.93556517602,406.10726176299,434.33931739357,434.79175418253,435.61678597414,437.95881170519,475.21831197179,476.86837555503,477.77324913293,478.27092960078,479.17846457156,521.20718087229,521.75010501903,522.74014316897,523.2511306012],"description":"W. Burt's \"2 out of 3,5,11,17,31 dekany\" CPS with 1/1=3/1. 1/1 vol. 10(1) '98"},"burt18":{"frequencies":[261.6255653006,268.26840191956,269.80136421624,270.50397193556,275.42222597075,281.04308772525,286.15296204753,295.09524211152,300.46061014991,306.59245933664,309.14739649778,314.76825825228,321.92208230347,324.60476632267,337.2517052703,343.38355445704,344.27778246344,354.11429053382,357.69120255941,367.91095120397,370.97687579734,375.57576268738,393.46032281536,404.70204632437,413.13333895612,421.56463158788,429.2294430713,432.80635509689,449.66894036041,463.72109474667,472.15238737843,490.54793493862,491.82540351919,500.76768358318,505.87755790546,515.07533168556,523.2511306012],"description":"W. Burt's \"2 out of 1,3,5,7,11 dekany\" CPS with 1/1=1/1. 1/1 vol. 10(1) '98"},"burt19":{"frequencies":[261.6255653006,268.26840191956,286.15296204753,294.32876096318,300.46061014991,306.59245933664,321.92208230347,327.03195662575,343.38355445704,357.69120255941,367.91095120397,375.57576268738,392.4383479509,400.61414686654,408.78994578219,429.2294430713,457.84473927605,490.54793493862,500.76768358318,515.07533168556,523.2511306012],"description":"W. Burt's \"2 out of 2,3,4,5,7 dekany\" CPS with 1/1=1/1. 1/1 vol. 10(1) '98"},"burt2":{"frequencies":[261.6255653006,264.16561933264,266.75547834571,269.39662169567,272.09058791262,340.11323489078,344.41846571218,348.83408706747,353.36439988652,358.01393146398,412.25846653428,485.87604984397,523.2511306012],"description":"W. Burt's 13enhsub #2"},"burt20":{"frequencies":[261.6255653006,269.10058145205,279.06726965397,279.38237857051,294.32876096318,298.00787047521,330.74639366397,335.25885428462,367.91095120397,376.74081403286,412.06026534844,418.60090448096,523.2511306012],"description":"Warren Burt tuning for \"Commas\" (1993) 1/1=263. XH 16"},"burt3":{"frequencies":[261.6255653006,281.75060878526,332.06321749692,382.37582620857,387.40708707973,392.4383479509,397.46960882207,402.50086969323,503.12608711654,508.1573479877,513.18860885887,518.21986973003,523.2511306012],"description":"W. Burt's 13enhharm #3"},"burt4":{"frequencies":[261.6255653006,281.75060878526,301.87565226992,322.00069575458,342.12573923925,362.25078272391,382.37582620857,402.50086969323,442.75095666255,462.87600014722,483.00104363188,503.12608711654,523.2511306012],"description":"W. Burt's 13diatharm #4, see his post 3/30/94 in Tuning Digest #57"},"burt5":{"frequencies":[261.6255653006,277.97716313189,296.50897400735,317.68818643644,342.12573923925,277.97716313189,386.75083566176,404.33041910093,423.58424858192,444.76346101102,468.17206422213,494.18162334558,523.2511306012],"description":"W. Burt's 17diatsub #5"},"burt6":{"frequencies":[261.6255653006,265.53042448419,269.55361273395,273.7005913914,277.97716313189,370.63621750918,386.75083566176,404.33041910093,408.97789518255,413.73345210327,418.60090448096,423.58424858192,523.2511306012],"description":"W. Burt's 17enhsub #6"},"burt7":{"frequencies":[261.6255653006,323.18452184192,327.03195662575,330.87939140958,334.72682619341,338.57426097725,353.96400011258,369.35373924791,492.47165233054,500.16652189821,507.86139146587,515.55626103354,523.2511306012],"description":"W. Burt's 17enhharm #7"},"burt8":{"frequencies":[261.6255653006,277.01530443593,292.40504357126,307.79478270659,323.18452184192,338.57426097725,353.96400011258,369.35373924791,400.13321751856,430.91269578922,461.69217405988,492.47165233054,523.2511306012],"description":"W. Burt's 17diatharm #8"},"burt9":{"frequencies":[261.6255653006,268.69652652494,276.16031892841,292.40504357126,310.68035879446,355.06326719367,368.21375857121,382.37582620857,397.67085925691,414.24047839262,432.2509339749,451.89870370104,523.2511306012],"description":"W. Burt's 19diatsub #9"},"burt_fibo":{"frequencies":[261.6255653006,277.97716313189,294.32876096318,311.70233365892,327.03195662575,343.38355445704,363.82305174615,385.28452389971,392.4383479509,425.14154361347,449.66894036041,476.24028683625,523.2511306012],"description":"Warren Burt, 3/2+5/3+8/5+etc. \"Recurrent Sequences\", 2002"},"burt_fibo23":{"frequencies":[261.6255653006,267.05480676802,277.97716313189,282.81557538079,294.32876096318,299.5065008038,311.70233365892,327.03195662575,330.09788121912,343.38355445704,349.5792770728,363.82305174615,370.21039464899,385.28452389971,392.4383479509,408.02346463385,425.14154361347,432.10374737758,449.66894036041,457.60521391719,476.24028683625,484.61169812829,504.34459560877,523.2511306012],"description":"Warren Burt, 23-tone Fibonacci scale. \"Recurrent Sequences\", 2002"},"burt_primes":{"frequencies":[261.6255653006,267.75741448733,273.88926367407,277.97716313189,280.0211128608,284.10901231862,290.24086150535,298.416660421,302.50455987882,304.54850960773,308.63640906555,310.68035879446,320.90010743902,322.94405716793,327.03195662575,333.16380581248,335.20775554139,339.29565499922,341.33960472813,351.55935337268,353.60330310159,359.73515228832,363.82305174615,365.86700147506,369.95490093288,376.08675011961,384.26254903526,390.39439822199,392.4383479509,394.48229767981,396.52624740872,402.65809659545,406.74599605328,412.87784524001,421.05364415565,425.14154361347,431.27339280021,433.31734252912,437.40524198694,445.58104090258,455.80078954714,457.84473927605,461.93263873387,463.97658846278,468.0644879206,474.19633710734,476.24028683625,482.37213602298,488.50398520971,492.59188466754,498.72373385427,506.89953276991,513.03138195665,519.16323114338,523.2511306012],"description":"Warren Burt, primes until 251. \"Some Numbers\", Dec. 2002"},"bushmen":{"frequencies":[261.6255653006,347.0163224393,394.26624244126,453.9405988926,523.2511306012],"description":"Observed scale of South-African bushmen, almost (4 notes) equal pentatonic"},"dan_semantic":{"frequencies":[261.6255653006,272.52663052146,275.62199471997,279.06726965397,290.69507255622,294.32876096318,297.67175429757,306.59245933664,310.07474405997,313.95067836072,322.99452506247,327.03195662575,331.11985608357,344.91651675372,348.83408706747,353.19451315581,363.36884069528,367.91095120397,372.08969287196,387.59343007496,392.4383479509,397.34382730029,408.78994578219,413.43299207996,418.60090448096,430.65936674996,436.04260883433,441.49314144476,459.88868900496,465.11211608996,470.92601754108,484.4917875937,490.54793493862,496.67978412536,516.79124009995,523.2511306012],"description":"The Semantic Scale, from Alain Dani�lou: \"S�mantique Musicale\" (1967)"},"danielou5_53":{"frequencies":[261.6255653006,264.89588486686,267.90457886781,272.52663052146,275.62199471997,279.06726965397,282.55561052465,285.76488412567,290.69507255622,294.32876096318,297.67175429757,301.39265122629,306.59245933664,310.07474405997,313.95067836072,317.87506184023,322.99452506247,327.03195662575,331.11985608357,334.88072358477,340.65828815182,344.52749339997,348.83408706747,353.19451315581,357.20610515709,363.36884069528,367.91095120397,372.08969287196,376.74081403286,383.2405741708,387.59343007496,392.4383479509,397.34382730029,401.85686830172,408.78994578219,413.43299207996,418.60090448096,423.83341578697,430.65936674996,436.04260883433,441.49314144476,446.50763144636,454.2110508691,459.88868900496,465.11211608996,470.92601754108,479.0507177135,484.4917875937,490.54793493862,496.67978412536,502.32108537715,510.98743222773,516.79124009995,523.2511306012],"description":"Dani�lou's Harmonic Division in 5-limit, symmetrized"},"danielou_53":{"frequencies":[261.6255653006,264.89588486686,267.43946675172,272.52663052146,275.62199471997,279.06726965397,282.55561052465,287.78812183066,290.69507255622,294.32876096318,297.67175429757,301.87565226992,306.59245933664,310.07474405997,313.95067836072,318.93402246168,322.99452506247,327.03195662575,331.11985608357,334.88072358477,340.65828815182,344.52749339997,348.83408706747,353.19451315581,357.20610515709,363.36884069528,367.91095120397,372.08969287196,376.74081403286,383.2405741708,387.59343007496,392.4383479509,397.34382730029,401.85686830172,408.78994578219,413.43299207996,418.60090448096,423.83341578697,430.65936674996,436.04260883433,441.49314144476,446.50763144636,454.2110508691,459.88868900496,465.11211608996,470.92601754108,479.64686971777,484.4917875937,490.54793493862,496.67978412536,502.32108537715,510.98743222773,516.79124009995,523.2511306012],"description":"Dani�lou's Harmonic Division of the Octave, see p. 153"},"darreg":{"frequencies":[261.6255653006,272.52663052146,279.06726965397,290.69507255622,294.32876096318,306.59245933664,313.95067836072,327.03195662575,348.83408706747,367.91095120397,372.08969287196,392.4383479509,408.78994578219,418.60090448096,436.04260883433,441.49314144476,459.88868900496,470.92601754108,490.54793493862,523.2511306012],"description":"This set of 19 ratios in 5-limit JI is for his megalyra family"},"darreg_ennea":{"frequencies":[261.6255653006,269.29177952703,277.18263097687,293.66476791741,349.22823143301,391.99543598175,403.48177901006,415.30469757995,440,523.2511306012],"description":"Ivor Darreg's Mixed Enneatonic, a mixture of chromatic and enharmonic"},"darreg_genus":{"frequencies":[261.6255653006,271.31540105247,279.06726965397,290.69507255622,348.83408706747,392.4383479509,406.97310157871,418.60090448096,436.04260883433,523.2511306012],"description":"Ivor Darreg's Mixed JI Genus (Archytas Enh, Ptolemy Soft Chrom, Didymos 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Structure, 1967. A mode of Fokker's 7-limit scale"},"ddimlim1":{"frequencies":[261.6255653006,294.32876096318,306.59245933664,313.95067836072,327.03195662575,348.83408706747,367.91095120397,392.4383479509,408.78994578219,418.60090448096,436.04260883433,490.54793493862,502.32108537715,510.98743222773,523.2511306012],"description":"First 27/25&2048/1875 scale"},"de_caus":{"frequencies":[261.6255653006,272.52663052146,290.69507255622,306.59245933664,327.03195662575,348.83408706747,363.36884069528,392.4383479509,408.78994578219,436.04260883433,465.11211608996,490.54793493862,523.2511306012],"description":"De Caus (a mode of Ellis's duodene) (1615)"},"degung1":{"frequencies":[261.6255653006,286.1303811777,319.28416942365,390.63652710512,420.90734643474,523.2511306012],"description":"Gamelan Degung, Kabupaten Sukabumi. 1/1=363 Hz"},"degung2":{"frequencies":[261.6255653006,276.67939184371,325.99375993805,390.36201910543,415.27879033283,523.2511306012],"description":"Gamelan Degung, Kabupaten Bandung. 1/1=252 Hz"},"degung3":{"frequencies":[261.6255653006,282.83850205216,320.55017368416,393.28023705203,426.95140008307,523.2511306012],"description":"Gamelan Degung, Kabupaten Sumedang. 1/1=388.5 Hz"},"degung4":{"frequencies":[261.6255653006,284.6485709981,319.18312009646,379.88037698982,415.46137490477,523.2511306012],"description":"Gamelan Degung, Kasepuhan Cheribon. 1/1=250 Hz"},"degung5":{"frequencies":[261.6255653006,284.24274449773,317.86283634652,388.77066331187,430.33748813761,523.2511306012],"description":"Gamelan Degung, Kanoman Cheribon. 1/1=428 Hz"},"degung6":{"frequencies":[261.6255653006,273.29426590363,298.47415715355,379.54129348313,409.02013274169,523.2511306012],"description":"Gamelan Degung, Kacherbonan Cheribon. 1/1=426 Hz"},"dekany":{"frequencies":[261.6255653006,299.7792935736,305.22982618403,327.03195662575,359.73515228832,381.53728273004,419.69101100305,436.04260883433,457.84473927605,479.64686971777,523.2511306012],"description":"2)5 Dekany 1.3.5.7.11 (1.3 tonic)"},"dekany2":{"frequencies":[261.6255653006,279.06726965397,299.00064605783,313.95067836072,348.83408706747,358.80077526939,398.6675280771,418.60090448096,448.50096908674,465.11211608996,523.2511306012],"description":"3)5 Dekany 1.3.5.7.9 (1.3.5.7.9 tonic)"},"dekany3":{"frequencies":[261.6255653006,294.32876096318,305.22982618403,327.03195662575,343.38355445704,381.53728273004,392.4383479509,436.04260883433,457.84473927605,490.54793493862,523.2511306012],"description":"2)5 Dekany 1.3.5.7.9 and 3)5 Dekany 1 1/3 1/5 1/7 1/9"},"dekany4":{"frequencies":[261.6255653006,270.96933548991,288.48890459486,310.68035879446,321.77608589426,355.06326719367,425.14154361347,440.3251701711,474.19633710734,485.87604984397,523.2511306012],"description":"2)5 Dekany 1.7.13.19.29 (1.7 tonic)"},"dekany_union":{"frequencies":[261.6255653006,274.70684356563,294.32876096318,305.22982618403,327.03195662575,343.38355445704,366.27579142084,381.53728273004,392.4383479509,412.06026534844,436.04260883433,457.84473927605,470.92601754108,490.54793493862,523.2511306012],"description":"Union of 2)5 and 3)5 [ 1 3 5 7 9] dekanies"},"dent":{"frequencies":[261.6255653006,276.73939277812,293.41671964988,311.13637945111,328.33487278761,349.18153137729,368.9858570375,391.91718148616,414.84850593482,438.82216331296,465.92281947955,491.98114271667,523.2511306012],"description":"Tom Dent, well temperament with A=421 Hz. Integer Hz beat rates from A"},"dent2":{"frequencies":[261.6255653006,276.57667301797,293.18838124587,310.79781949647,328.55897053596,349.10502918563,369.05532299592,391.67735584266,414.54302837239,438.92977277749,465.83490899549,492.45596147139,523.2511306012],"description":"Tom Dent, well-temperament, 2/32 and 5/32 comma. TL 3 & 5-9-2005"},"dent3":{"frequencies":[261.6255653006,276.38325105256,293.15632631094,310.94732162256,328.48713220126,349.22823143301,368.7143392539,391.76907592069,414.58565256441,438.73106346722,466.16376151809,492.17459484008,523.2511306012],"description":"Tom Dent, Bach harpsichord \"sine wave\" temperament, TL 10-10-2005"},"deporcy":{"frequencies":[261.6255653006,272.52663052146,286.15296204753,299.00064605783,313.95067836072,327.03195662575,348.83408706747,358.80077526939,381.53728273004,392.4383479509,418.60090448096,436.04260883433,457.84473927605,478.40103369253,502.32108537715,523.2511306012],"description":"A 15-note chord-based detempering of 7-limit porcupine"},"diab19_612":{"frequencies":[261.6255653006,267.01398215014,280.33982809972,299.03492334906,305.19382000629,313.95883772326,320.42510414137,327.02455105776,348.83292260574,366.24210002542,373.7851897098,392.43965797471,418.61038382265,427.23204601759,436.03127668087,448.5538823653,457.79225819026,488.32116993744,512.69177642068,523.2511306012],"description":"diab19a in 612-tET"},"diab19_72":{"frequencies":[261.6255653006,266.71173418545,279.86396690685,299.37379946195,305.19382000629,314.13668154225,320.24370022528,326.46944327063,349.22823143301,366.44956000397,373.57357677338,391.99543598175,419.32216217931,427.47405410759,435.78442404634,448.5538823653,457.27406033445,489.15147723638,513.27277840175,523.2511306012],"description":"diab19a in 72-tET"},"diablack":{"frequencies":[261.6255653006,279.06726965397,294.32876096318,313.95067836072,331.11985608357,372.08969287196,392.4383479509,418.60090448096,441.49314144476,470.92601754108,523.2511306012],"description":"Unique 256/245&2048/2025 Fokker block"},"diachrome1":{"frequencies":[261.6255653006,279.06726965397,294.32876096318,313.95067836072,334.88072358477,367.91095120397,392.4383479509,418.60090448096,441.49314144476,470.92601754108,523.2511306012],"description":"First 25/24&2048/2025 scale"},"diacycle13":{"frequencies":[261.6255653006,268.33391312882,275.39533189537,282.83844897362,290.69507255622,299.00064605783,307.79478270659,317.12189733406,327.03195662575,337.58137458142,348.83408706747,360.86284869048,373.75080757229,387.59343007496,402.50086969323,413.09299784305,424.25767346043,436.04260883433,448.50096908674,461.69217405988,475.68284600109,490.54793493862,506.37206187213,523.2511306012],"description":"Diacycle on 20/13, 13/10; there are also nodes at 3/2, 4/3; 13/9, 18/13"},"diaddim1":{"frequencies":[261.6255653006,275.93321340298,294.32876096318,313.95067836072,334.88072358477,344.91651675372,357.20610515709,367.91095120397,392.4383479509,418.60090448096,446.50763144636,470.92601754108,490.54793493862,502.32108537715,523.2511306012],"description":"First 2048/2025&2048/1875 scale"},"dialim1":{"frequencies":[261.6255653006,279.06726965397,294.32876096318,313.95067836072,334.88072358477,348.83408706747,353.19451315581,367.91095120397,392.4383479509,418.60090448096,441.49314144476,470.92601754108,490.54793493862,502.32108537715,523.2511306012],"description":"First 27/25&2048/2025 scale"},"diamisty":{"frequencies":[261.6255653006,275.93321340298,294.32876096318,310.42486507835,330.74639366397,348.83408706747,372.08969287196,392.4383479509,413.89982010446,436.53496651643,470.39487098876,496.11959049595,523.2511306012],"description":"Diamisty scale 2048/2025 and 67108864/66430125"},"diamond11a":{"frequencies":[261.6255653006,279.06726965397,285.40970760065,287.78812183066,290.69507255622,294.32876096318,299.00064605783,305.22982618403,313.95067836072,319.76457981184,327.03195662575,332.97799220076,336.37572681506,348.83408706747,359.73515228832,366.27579142084,373.75080757229,380.54627680087,392.4383479509,406.97310157871,411.12588832951,418.60090448096,428.11456140098,436.04260883433,448.50096908674,457.84473927605,465.11211608996,470.92601754108,475.68284600109,479.64686971777,490.54793493862,523.2511306012],"description":"11-limit Diamond with added 16/15 & 15/8, Zoomoozophone tuning: 1/1 = 392 Hz"},"diamond11ak":{"frequencies":[261.6255653006,279.72330032405,285.63317938628,287.78812183066,290.69507255622,293.86839138568,299.07491977616,305.39295512204,314.19649759716,319.76457981184,326.52043447049,333.41680553884,335.93301933283,349.10721912206,359.17247822875,366.75848641051,373.2589099097,381.14243472333,392.13131479202,407.50942884268,410.58480125643,419.25667855894,428.11456140098,435.70146034294,448.26139746089,457.73103588952,465.84075338014,470.92601754108,475.68284600109,479.27160679251,489.39746055879,523.2511306012],"description":"microtempered version of diamond11a, Dave Keenan TL 11-1-2000, 225/224&385/384"},"diamond11at":{"frequencies":[261.6255653006,279.83704120119,285.33574350137,287.98268367985,290.84948650387,293.82121114493,299.2738827313,305.22380787491,314.19079532693,320.23980272009,326.48518221507,332.71524733285,336.02719554531,349.1122100506,359.53680125564,366.52331521885,373.4984028396,380.75621844446,392.12570885984,407.39521875769,411.45055399509,419.30194782174,427.47925671618,435.70936791853,448.50981249085,457.42672761267,465.91555560021,470.67599975252,475.36147343465,479.7712027167,489.19854301666,523.2511306012],"description":"microtempered version of diamond11a, OdC"},"diamond11map":{"frequencies":[195.99771799087,228.66400432268,261.33029065449,293.99657698631,326.66286331812,359.32914964993,391.99543598174,457.32800864536,522.66058130899,587.99315397261,653.32572663623,718.65829929986,213.81569235368,249.45164107929,285.0875898049,320.72353853051,356.35948725613,391.99543598174,427.63138470735,498.90328215858,570.1751796098,641.44707706103,712.71897451225,783.99087196348,235.19726158904,274.39680518722,313.59634878539,352.79589238357,391.99543598174,431.19497957991,470.39452317809,548.79361037444,627.19269757078,705.59178476713,783.99087196348,862.38995915983,261.33029065449,304.88533909691,348.44038753932,391.99543598174,435.55048442416,479.10553286657,522.66058130899,609.77067819382,696.88077507865,783.99087196348,871.10096884831,958.21106573314,293.99657698631,342.99600648402,391.99543598174,440.99486547946,489.99429497718,538.99372447489,587.99315397261,685.99201296804,783.99087196348,881.98973095892,979.98858995435,1077.98744894978,335.99608798435,391.99543598174,447.99478397913,503.99413197652,559.99347997391,615.99282797131,671.9921759687,783.99087196348,895.98956795826,1007.98826395305,1119.98695994783,1231.98565594261,783.99087196348],"description":"11-limit diamond on a 'centreless' map"},"diamond15":{"frequencies":[261.6255653006,269.80136421624,279.06726965397,280.31310567921,281.75060878526,283.42769574232,285.40970760065,287.78812183066,290.69507255622,294.32876096318,299.00064605783,301.87565226992,305.22982618403,309.19384990071,310.07474405997,313.95067836072,318.85615771011,319.76457981184,322.00069575458,327.03195662575,332.97799220076,336.37572681506,340.11323489078,343.38355445704,348.83408706747,356.76213450082,359.73515228832,362.25078272391,366.27579142084,367.91095120397,372.08969287196,373.75080757229,377.90359432309,380.54627680087,383.71749577421,392.4383479509,398.6675280771,402.50086969323,406.97310157871,411.12588832951,418.60090448096,425.14154361347,428.11456140098,429.33426100611,436.04260883433,441.49314144476,442.75095666255,448.50096908674,453.48431318771,457.84473927605,465.11211608996,470.92601754108,475.68284600109,479.64686971777,483.00104363188,485.87604984397,488.36772189445,490.54793493862,507.3950357345,523.2511306012],"description":"15-limit Diamond + 2nd ratios. See Novaro, 1927, Sistema Natural..."},"diamond17":{"frequencies":[261.6255653006,277.97716313189,281.75060878526,283.42769574232,285.40970760065,287.78812183066,299.00064605783,305.22982618403,307.79478270659,309.19384990071,313.95067836072,317.68818643644,322.00069575458,327.03195662575,332.97799220076,338.57426097725,340.11323489078,342.12573923925,348.83408706747,359.73515228832,366.27579142084,369.35373924791,370.63621750918,373.75080757229,380.54627680087,392.4383479509,400.13321751856,402.50086969323,404.33041910093,411.12588832951,418.60090448096,425.14154361347,430.91269578922,436.04260883433,442.75095666255,444.76346101102,448.50096908674,457.84473927605,475.68284600109,479.64686971777,483.00104363188,485.87604984397,492.47165233054,523.2511306012],"description":"17-limit Diamond"},"diamond17a":{"frequencies":[261.6255653006,277.01530443593,277.97716313189,281.75060878526,283.42769574232,285.40970760065,287.78812183066,290.69507255622,294.32876096318,299.00064605783,305.22982618403,307.79478270659,309.19384990071,313.95067836072,317.68818643644,319.76457981184,322.00069575458,327.03195662575,332.97799220076,336.37572681506,338.57426097725,340.11323489078,342.12573923925,348.83408706747,359.73515228832,362.25078272391,366.27579142084,369.35373924791,370.63621750918,373.75080757229,377.90359432309,380.54627680087,392.4383479509,400.13321751856,402.50086969323,404.33041910093,406.97310157871,411.12588832951,418.60090448096,425.14154361347,428.11456140098,430.91269578922,436.04260883433,442.75095666255,444.76346101102,448.50096908674,457.84473927605,465.11211608996,470.92601754108,475.68284600109,479.64686971777,483.00104363188,485.87604984397,492.47165233054,494.18162334558,523.2511306012],"description":"17-limit, +9 Diamond"},"diamond19":{"frequencies":[261.6255653006,275.39533189537,277.97716313189,281.75060878526,283.42769574232,285.40970760065,287.78812183066,292.40504357126,299.00064605783,302.93486508491,305.22982618403,307.79478270659,309.19384990071,310.68035879446,313.95067836072,317.68818643644,322.00069575458,327.03195662575,330.47439827444,332.97799220076,338.57426097725,340.11323489078,342.12573923925,348.83408706747,355.06326719367,358.01393146398,359.73515228832,366.27579142084,369.35373924791,370.63621750918,373.75080757229,380.54627680087,382.37582620857,385.55346465352,392.4383479509,400.13321751856,402.50086969323,404.33041910093,411.12588832951,414.24047839262,418.60090448096,425.14154361347,430.91269578922,436.04260883433,440.63253103259,442.75095666255,444.76346101102,448.50096908674,451.89870370104,457.84473927605,468.17206422213,475.68284600109,479.64686971777,483.00104363188,485.87604984397,492.47165233054,497.08857407114,523.2511306012],"description":"19-limit Diamond"},"diamond7":{"frequencies":[261.6255653006,299.00064605783,305.22982618403,313.95067836072,327.03195662575,348.83408706747,366.27579142084,373.75080757229,392.4383479509,418.60090448096,436.04260883433,448.50096908674,457.84473927605,523.2511306012],"description":"7-limit Diamond, also double-tie circular mirroring of 4:5:6:7"},"diamond9":{"frequencies":[261.6255653006,290.69507255622,294.32876096318,299.00064605783,305.22982618403,313.95067836072,327.03195662575,336.37572681506,348.83408706747,366.27579142084,373.75080757229,392.4383479509,406.97310157871,418.60090448096,436.04260883433,448.50096908674,457.84473927605,465.11211608996,470.92601754108,523.2511306012],"description":"9-limit Diamond"},"diamond_chess":{"frequencies":[261.6255653006,299.00064605783,313.95067836072,336.37572681506,348.83408706747,366.27579142084,373.75080757229,392.4383479509,406.97310157871,436.04260883433,457.84473927605,523.2511306012],"description":"9-limit chessboard pattern diamond. OdC"},"diamond_chess11":{"frequencies":[261.6255653006,287.78812183066,299.00064605783,313.95067836072,319.76457981184,336.37572681506,348.83408706747,359.73515228832,366.27579142084,373.75080757229,380.54627680087,392.4383479509,406.97310157871,428.11456140098,436.04260883433,457.84473927605,475.68284600109,523.2511306012],"description":"11-limit chessboard pattern diamond. OdC"},"diamond_dup":{"frequencies":[261.6255653006,274.70684356563,280.31310567921,294.32876096318,299.00064605783,305.22982618403,313.95067836072,327.03195662575,336.37572681506,343.38355445704,348.83408706747,366.27579142084,373.75080757229,392.4383479509,418.60090448096,436.04260883433,448.50096908674,457.84473927605,470.92601754108,490.54793493862,523.2511306012],"description":"Two 7-limit diamonds 3/2 apart"},"diamond_mod":{"frequencies":[261.6255653006,269.10058145205,271.31540105247,279.06726965397,327.03195662575,336.37572681506,348.83408706747,392.4383479509,406.97310157871,418.60090448096,490.54793493862,504.56359022259,508.71637697339,523.2511306012],"description":"13-tone Octave Modular Diamond, based on Archytas's Enharmonic"},"diamond_tetr":{"frequencies":[261.6255653006,271.31540105247,279.06726965397,327.03195662575,336.37572681506,339.14425131559,348.83408706747,358.80077526939,523.2511306012],"description":"Tetrachord Modular Diamond based on Archytas's Enharmonic"},"diaphonic_10":{"frequencies":[261.6255653006,277.01530443593,294.32876096318,313.95067836072,336.37572681506,362.25078272391,392.4383479509,418.60090448096,448.50096908674,483.00104363188,523.2511306012],"description":"10-tone Diaphonic Cycle"},"diaphonic_12":{"frequencies":[261.6255653006,274.70684356563,289.16509849014,305.22982618403,323.18452184192,343.38355445704,366.27579142084,392.4383479509,413.09299784305,436.04260883433,461.69217405988,490.54793493862,523.2511306012],"description":"12-tone Diaphonic Cycle, conjunctive form on 3/2 and 4/3"},"diaphonic_12a":{"frequencies":[261.6255653006,274.70684356563,289.16509849014,305.22982618403,323.18452184192,343.38355445704,366.27579142084,385.55346465352,406.97310157871,430.91269578922,457.84473927605,488.36772189445,523.2511306012],"description":"2nd 12-tone Diaphonic Cycle, conjunctive form on 10/7 and 7/5"},"diaphonic_5":{"frequencies":[261.6255653006,299.00064605783,348.83408706747,392.4383479509,448.50096908674,523.2511306012],"description":"D5-tone Diaphonic Cycle"},"diaphonic_7":{"frequencies":[261.6255653006,285.40970760065,313.95067836072,348.83408706747,380.54627680087,418.60090448096,465.11211608996,523.2511306012],"description":"7-tone Diaphonic Cycle, disjunctive form on 4/3 and 3/2"},"diaschismic":{"frequencies":[261.6255653006,266.61097723855,278.05603152599,283.35453458855,295.51835494038,301.14961170579,314.07733767684,320.06224556188,333.80185153667,340.16262034629,354.76509561975,369.99442271164,377.04485988831,393.23061088369,400.72382577504,417.92606548687,425.88986517773,444.17243057662,452.63636847719,472.06710558841,481.06259110609,501.71360968203,523.2511306012],"description":"diaschismic temperament, g=105.446531, p=600, 5-limit"},"diat13":{"frequencies":[261.6255653006,279.06726965397,322.00069575458,348.83408706747,392.4383479509,418.60090448096,483.00104363188,523.2511306012],"description":"This genus is from K.S's diatonic Hypodorian harmonia"},"diat15":{"frequencies":[261.6255653006,301.87565226992,327.03195662575,356.76213450082,373.75080757229,392.4383479509,436.04260883433,490.54793493862,523.2511306012],"description":"Tonos-15 Diatonic and its own trite synemmenon Bb"},"diat15_inv":{"frequencies":[261.6255653006,279.06726965397,313.95067836072,348.83408706747,366.27579142084,383.71749577421,418.60090448096,453.48431318771,523.2511306012],"description":"Inverted Tonos-15 Harmonia, a harmonic series from 15 from 30."},"diat17":{"frequencies":[261.6255653006,296.50897400735,342.12573923925,370.63621750918,386.75083566176,404.33041910093,444.76346101102,494.18162334558,523.2511306012],"description":"Tonos-17 Diatonic and its own trite synemmenon Bb"},"diat19":{"frequencies":[261.6255653006,276.16031892841,310.68035879446,355.06326719367,368.21375857121,382.37582620857,414.24047839262,451.89870370104,523.2511306012],"description":"Tonos-19 Diatonic and its own trite synemmenon Bb"},"diat21":{"frequencies":[261.6255653006,289.16509849014,305.22982618403,343.38355445704,366.27579142084,392.4383479509,422.62591317789,457.84473927605,523.2511306012],"description":"Tonos-21 Diatonic and its own trite synemmenon Bb"},"diat21_inv":{"frequencies":[261.6255653006,299.00064605783,323.91736656265,348.83408706747,373.75080757229,398.6675280771,448.50096908674,473.41768959156,523.2511306012],"description":"Inverted Tonos-21 Harmonia, a harmonic series from 21 from 42."},"diat23":{"frequencies":[261.6255653006,286.54228580542,300.86940009569,334.29933343966,353.96400011258,376.08675011961,429.81342870813,462.87600014722,523.2511306012],"description":"Tonos-23 Diatonic and its own trite synemmenon Bb"},"diat25":{"frequencies":[261.6255653006,297.30177875068,327.03195662575,363.36884069528,384.74347838324,408.78994578219,467.18850946536,503.12608711654,523.2511306012],"description":"Tonos-25 Diatonic and its own trite synemmenon Bb"},"diat27":{"frequencies":[261.6255653006,294.32876096318,336.37572681506,353.19451315581,371.78369805875,392.4383479509,441.49314144476,504.56359022259,523.2511306012],"description":"Tonos-27 Diatonic and its own trite synemmenon Bb"},"diat27_inv":{"frequencies":[261.6255653006,271.31540105247,310.07474405997,348.83408706747,377.90359432309,387.59343007496,406.97310157871,465.11211608996,523.2511306012],"description":"Inverted Tonos-27 Harmonia, a harmonic series from 27 from 54"},"diat29":{"frequencies":[261.6255653006,291.81313052759,316.13089140489,344.87006335079,361.29244731988,379.35706968587,421.50785520652,474.19633710734,523.2511306012],"description":"Tonos-29 Diatonic and its own trite synemmenon Bb"},"diat31":{"frequencies":[261.6255653006,289.65687586852,311.93817401225,337.93302184661,352.6257619269,368.65420565085,405.51962621593,450.57736246214,523.2511306012],"description":"Tonos-31 Diatonic. The disjunctive and conjunctive diatonic forms are the same"},"diat33":{"frequencies":[261.6255653006,287.78812183066,319.76457981184,359.73515228832,375.37581108347,392.4383479509,431.68218274599,479.64686971777,523.2511306012],"description":"Tonos-33 Diatonic. The conjunctive form is 23 (Bb instead of B) 20 18 33/2"},"diat_chrom":{"frequencies":[261.6255653006,280.31310567921,301.87565226992,348.83408706747,392.4383479509,420.46965851882,452.81347840488,523.2511306012],"description":"Diatonic- Chromatic, on the border between the chromatic and diatonic genera"},"diat_dies2":{"frequencies":[261.6255653006,266.71168334607,311.12698372208,349.22823143301,391.99543598175,399.61600264311,466.16376151809,523.2511306012],"description":"Dorian Diatonic, 2 part Diesis"},"diat_dies5":{"frequencies":[261.6255653006,274.52693220706,311.12698372208,349.22823143301,391.99543598175,411.32564531909,466.16376151809,523.2511306012],"description":"Dorian Diatonic, 5 part Diesis"},"diat_enh":{"frequencies":[261.6255653006,269.29177952703,311.12698372208,349.22823143301,391.99543598175,403.48177901006,466.16376151809,523.2511306012],"description":"Diat. + Enharm. Diesis, Dorian Mode"},"diat_enh2":{"frequencies":[261.6255653006,269.29177952703,302.26980244078,349.22823143301,391.99543598175,403.48177901006,452.89298412314,523.2511306012],"description":"Diat. + Enharm. Diesis, Dorian Mode 3 + 12 + 15 parts"},"diat_enh3":{"frequencies":[261.6255653006,302.26980244078,311.12698372208,349.22823143301,391.99543598175,452.89298412314,466.16376151809,523.2511306012],"description":"Diat. + Enharm. Diesis, Dorian Mode, 15 + 3 + 12 parts"},"diat_enh4":{"frequencies":[261.6255653006,302.26980244078,339.28638158975,349.22823143301,391.99543598175,452.89298412314,508.3551866238,523.2511306012],"description":"Diat. + Enharm. Diesis, Dorian Mode, 15 + 12 + 3 parts"},"diat_enh5":{"frequencies":[261.6255653006,293.66476791741,339.28638158975,349.22823143301,391.99543598175,440,508.3551866238,523.2511306012],"description":"Dorian Mode, 12 + 15 + 3 parts"},"diat_enh6":{"frequencies":[261.6255653006,293.66476791741,302.26980244078,349.22823143301,391.99543598175,440,452.89298412314,523.2511306012],"description":"Dorian Mode, 12 + 3 + 15 parts"},"diat_eq":{"frequencies":[261.6255653006,288.06466200271,317.1754314895,349.22823143301,391.99543598175,431.60932167676,475.22619361214,523.2511306012],"description":"Equal Diatonic, Islamic form, similar to 11/10 x 11/10 x 400/363"},"diat_eq2":{"frequencies":[261.6255653006,287.78812183066,317.12189733406,348.83408706747,392.4383479509,431.68218274599,475.68284600109,523.2511306012],"description":"Equal Diatonic, 11/10 x 400/363 x 11/10"},"diat_gold":{"frequencies":[261.6255653006,292.38332274669,326.75708630452,349.99258496952,391.13935185123,437.1232727958,488.51296691354,523.2511306012],"description":"Diatonic scale with ratio between whole and half tone the Golden Section"},"diat_hemchrom":{"frequencies":[261.6255653006,273.20871865617,311.12698372208,349.22823143301,391.99543598175,409.35055662695,466.16376151809,523.2511306012],"description":"Diat. + Hem. Chrom. Diesis, Another genus of Aristoxenos, Dorian Mode"},"diat_smal":{"frequencies":[261.6255653006,299.00064605783,327.03195662575,348.83408706747,392.4383479509,436.04260883433,457.84473927605,523.2511306012],"description":"\"Smallest number\" diatonic scale"},"diat_sofchrom":{"frequencies":[261.6255653006,271.8968348557,311.12698372208,349.22823143301,391.99543598175,407.38495184466,466.16376151809,523.2511306012],"description":"Diat. + Soft Chrom. Diesis, Another genus of Aristoxenos, Dorian Mode"},"diat_soft":{"frequencies":[261.6255653006,274.52693220706,302.26980244078,349.22823143301,391.99543598175,411.32564531909,452.89298412314,523.2511306012],"description":"Soft Diatonic genus 5 + 10 + 15 parts"},"diat_soft2":{"frequencies":[261.6255653006,281.2143451833,302.26980244078,349.22823143301,391.99543598175,421.34544350737,452.89298412314,523.2511306012],"description":"Soft Diatonic genus with equally divided Pyknon; Dorian Mode"},"diat_soft3":{"frequencies":[261.6255653006,281.2143451833,324.90175210669,349.22823143301,391.99543598175,421.34544350737,486.80259447109,523.2511306012],"description":"New Soft Diatonic genus with equally divided Pyknon; Dorian Mode; 1:1 pyknon"},"diat_soft4":{"frequencies":[261.6255653006,302.26980244078,324.90175210669,349.22823143301,391.99543598175,452.89298412314,486.80259447109,523.2511306012],"description":"New Soft Diatonic genus with equally divided Pyknon; Dorian Mode; 1:1 pyknon"},"dicot":{"frequencies":[261.6255653006,270.35822989652,294.32876096318,320.42456924675,331.11985608357,360.47764004221,392.4383479509,405.53734464206,441.49314144476,480.63685362987,523.2511306012],"description":"Dicot temperament, g=350.9775, 5-limit"},"didy_chrom":{"frequencies":[261.6255653006,279.06726965397,290.69507255622,348.83408706747,392.4383479509,418.60090448096,436.04260883433,523.2511306012],"description":"Didymus Chromatic"},"didy_chrom1":{"frequencies":[261.6255653006,279.06726965397,334.88072358477,348.83408706747,392.4383479509,418.60090448096,502.32108537715,523.2511306012],"description":"Permuted Didymus Chromatic"},"didy_chrom2":{"frequencies":[261.6255653006,313.95067836072,327.03195662575,348.83408706747,392.4383479509,470.92601754108,490.54793493862,523.2511306012],"description":"Didymos's Chromatic, 6/5 x 25/24 x 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Enharmonic"},"didy_enh2":{"frequencies":[261.6255653006,275.62199471997,279.06726965397,348.83408706747,392.4383479509,413.43299207996,418.60090448096,523.2511306012],"description":"Permuted Didymus Enharmonic"},"diesic-m":{"frequencies":[261.6255653006,289.62525622617,320.62153003931,354.93508703008,392.92094947462,434.97213484265,481.52372211906,523.2511306012],"description":"Minimal Diesic temperament, g=176.021, 5-limit"},"diesic-t":{"frequencies":[261.6255653006,272.92239980638,281.87304203955,294.04415210774,303.68749398125,316.80053726141,327.19018747082,337.92057205022,352.51178108166,364.07260143821,379.79303732838,392.24856169057,409.18561859271,422.60509148244,436.46466102477,455.31094249407,470.24311865111,490.54793493862,506.63572944675,523.2511306012],"description":"Tiny Diesic temperament, g=443.017, 5-limit"},"diff31_72":{"frequencies":[261.6255653006,269.29177952703,274.52698453615,279.86396690685,285.30470202322,293.66476791741,299.37379946195,305.19382000629,314.13668154225,320.24370022528,326.46944327063,336.03572815422,342.56848033562,352.60650301302,356.01745236555,366.44956000397,373.57357677338,384.52011812375,388.23978476841,399.61607881612,407.38487419079,419.32216217931,427.47405410759,435.78442404634,448.5538823653,457.27406033445,466.16376151809,479.82340237272,489.15147723638,498.66089874196,508.3551866238,523.2511306012],"description":"Diff31, 11/9, 4/3, 7/5, 3/2, 7/4, 9/5 difference diamond, tempered to 72-et"},"dimteta":{"frequencies":[261.6255653006,282.55561052465,307.12566361375,336.37572681506,406.97310157871,439.53094970501,477.75103228805,523.2511306012],"description":"A heptatonic form on the 9/7"},"dimtetb":{"frequencies":[261.6255653006,294.32876096318,336.37572681506,406.97310157871,457.84473927605,523.2511306012],"description":"A pentatonic form on the 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160"},"dkring1":{"frequencies":[261.6255653006,274.70684356563,305.22982618403,313.95067836072,320.49131749323,327.03195662575,366.27579142084,392.4383479509,439.53094970501,448.50096908674,457.84473927605,470.92601754108,523.2511306012],"description":"Double-tie circular mirroring of 4:5:6:7"},"dkring2":{"frequencies":[261.6255653006,274.70684356563,305.22982618403,329.64821227876,336.37572681506,353.19451315581,366.27579142084,392.4383479509,406.97310157871,427.32175665765,436.04260883433,470.92601754108,523.2511306012],"description":"Double-tie circular mirroring of 3:5:7:9"},"dkring3":{"frequencies":[261.6255653006,294.32876096318,299.00064605783,305.22982618403,336.37572681506,348.83408706747,384.42940207435,392.4383479509,398.6675280771,448.50096908674,465.11211608996,504.56359022259,523.2511306012],"description":"Double-tie circular mirroring of 6:7:8:9"},"dkring4":{"frequencies":[261.6255653006,290.69507255622,294.32876096318,299.00064605783,327.03195662575,336.37572681506,367.91095120397,373.75080757229,378.42269266694,420.46965851882,467.18850946536,470.92601754108,523.2511306012],"description":"Double-tie circular mirroring of 7:8:9:10"},"dodeceny":{"frequencies":[261.6255653006,275.93321340298,294.32876096318,306.59245933664,313.95067836072,327.03195662575,348.83408706747,367.91095120397,392.4383479509,436.04260883433,441.49314144476,490.54793493862,523.2511306012],"description":"Degenerate eikosany 3)6 from 1.3.5.9.15.45 tonic 1.3.15"},"dorian_chrom":{"frequencies":[261.6255653006,279.06726965397,299.00064605783,310.07474405997,315.92521092903,322.00069575458,348.83408706747,380.54627680087,398.6675280771,408.39112632289,418.60090448096,465.11211608996,523.2511306012,558.13453930795,598.00129211566,620.14948811994,631.85042185805,644.00139150917,697.66817413493,761.09255360175,797.33505615421,816.78225264578,837.20180896192,930.22423217991,1046.5022612024],"description":"Dorian Chromatic Tonos"},"dorian_chrom2":{"frequencies":[261.6255653006,274.08392555301,287.78812183066,359.73515228832,411.12588832951,426.35277308246,442.75095666255,523.2511306012],"description":"Schlesinger's Dorian Harmonia in the chromatic genus"},"dorian_chrominv":{"frequencies":[261.6255653006,273.00058987889,285.40970760065,332.97799220076,380.54627680087,404.33041910093,428.11456140098,523.2511306012],"description":"A harmonic form of Schlesinger's Chromatic Dorian 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(Dudon) 3 + 4 + 3 Mohajira and 3 + 3 + 4 Bayati tetrachords"},"dudon_mohajira":{"frequencies":[261.6255653006,285.30470202322,320.24370022528,349.22823143301,391.99543598175,427.47405410759,479.82340237272,523.2511306012],"description":"Dudon's Mohajira, two 3 + 4 + 3 tetrachords, neutral diatonic"},"dudon_mohajira_r":{"frequencies":[261.6255653006,283.42769574232,321.58142401532,348.83408706747,392.4383479509,425.14154361347,479.64686971777,523.2511306012],"description":"Jacques Dudon, JI Mohajira, Lumi�res audibles"},"dudon_thai":{"frequencies":[261.6255653006,288.26147859917,317.63518509943,350.43752981487,386.47021463976,426.17461277719,469.97930400405,523.2511306012],"description":"Dudon, coherent Thai heptatonic scale, 1/1 vol. 11/2, 2003"},"dudon_thai2":{"frequencies":[261.6255653006,288.02814528506,314.43072526953,347.1339209321,383.13743909274,422.44127975143,475.35895071461,523.2511306012],"description":"Slightly better version, 3.685 cents 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5"},"cet55a":{"frequencies":[261.6255653006,270.1234331478,278.89732210685,287.95619440582,297.30930820811,306.96622255393,316.93680165166,327.23123542864,337.86004496999,348.83408706747],"description":"9th root of 4/3"},"cet63":{"frequencies":[261.6255653006,271.38398887572,281.50639381697,292.00635633712,302.89795903081,314.19580976213,325.91506125677,338.07143142496,350.68122444233,363.76135261718,377.32935907335,391.4034412791,406.00247545366,421.14604188408,436.85445118639,453.14877154631,470.05085697597,487.58337662462,505.76984518255,524.63465441916,544.20310589723,564.50144490757,585.55689566922,607.39769784277,630.05314440547,653.5536209391,677.93064638327,703.21691530872,729.44634176744,756.65410477833,784.8766959018],"description":"30th root of 3 or stretched 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5"},"cet67":{"frequencies":[261.6255653006,271.89449162354,282.56647812794,293.65734341902,305.18353207836,317.16212905639,329.61089159214,342.54827390456,355.99345454941,369.96636271272,384.48771622149,399.57903967613,415.26270466472,431.56196087069,448.50096908674],"description":"14th root of 12/7, X.J. Scott"},"cet70":{"frequencies":[261.6255653006,272.49048247121,283.80660334964,295.59266404146,307.86818385681,320.65348759128,333.96974580612,347.83900623503,362.28423824861,377.32935907335,392.99928119148,409.31995166322,426.31839262878,444.02275580482,462.46235461904,481.66772230429,501.67065719504,522.50428685614,544.20310589723,566.80304433509,590.34152430617,614.85751848055,640.39162865951,666.98613212152,694.68506540856,723.53429383412,753.58158307649,784.8766959018],"description":"27th root of 3"},"cet78":{"frequencies":[261.6255653006,273.68177330057,286.29355449603,299.48651076576,313.28742377221,327.72430932822,342.82647426905,358.62457594514,375.15068445646,392.4383479509],"description":"9th root of 3/2"},"cet79":{"frequencies":[261.6255653006,273.87994580863,286.70831230381,300.13755324878,314.19580976213,328.91254817579,344.3186075731,360.44627930254,377.32935907335,395.0032340925,413.50494015483,432.87325713404,453.14877154631,474.3739811962,496.5933637384,519.85349135637,544.20310589723,569.69324454502,596.37732215892,624.31126899512,653.5536209391,684.16567043124,716.21156534988,749.7584744066,784.8766959018],"description":"24th root of 3, James Heffernan (1906)."},"cet80":{"frequencies":[261.6255653006,273.93704112612,286.82786567404,300.32530171503,314.4578949408,329.25553433534,344.74951538696,360.97260627516,377.95911717185,395.74497280393,414.36778843034,433.8669493945,454.28369442026,475.66120282759,498.04439817054,521.48118104407,546.02084308555,571.71528316122,598.61884237431,626.7884189909,656.28358877393,687.16673097983,719.50316028422,753.36126491573,788.81265129014,825.93229545055,864.79870163404,905.49406830005,948.10446197172,992.7199992577,1039.43503743958,1088.34837402783,1139.56345570838,1193.18859712177,1249.33720993748,1308.127826503],"description":"35th root of 5"},"cet84":{"frequencies":[261.6255653006,274.70153691096,288.43104187674,302.84674360983,317.98293803021,333.87563322966,350.5626427598,368.08366429725,386.48038152577,405.79656146784,426.0781586093,447.37342422819,469.73302118774,493.21014446673,517.86064472263,543.74317298677,570.91930267857,599.45368763079,629.41421305643,660.87215705217,693.9023601738,728.58340348685,764.99779551626,803.23216389999,843.37747981977,885.52924725223,929.78774807537,976.25827622702,1025.05138820617,1076.28316609431,1130.07549372248,1186.55634664103,1245.86008938569,1308.127826503],"description":"33rd root of 5"},"cet87":{"frequencies":[261.6255653006,275.05808287728,289.18026151691,304.0275068203,319.63704721237,336.04802279017,353.30157737897,371.44097305523,390.51169339433,410.56155044631,431.64081781968,453.80235066263,477.10170997643,501.59731726833,527.35059397819,554.42610593952],"description":"Least-squares stretched ET to telephone dial tones. 1/1=697 Hz"},"cet88":{"frequencies":[261.6255653006,275.26799068863,289.6217982776,304.72408298441,320.61387403473,337.33223582731,354.92237405774,373.42974737602,392.90218486657,413.39000965417,434.94616895528,457.62637091093,481.48922855473,506.59641128799,533.01280425363],"description":"88 cents steps by Gary Morrison"},"cet88_appr":{"frequencies":[261.6255653006,275.62199471997,290.69507255622,305.22982618403,320.49131749323,336.37572681506,354.37113606854,373.75080757229,392.4383479509,413.43299207996,436.04260883433,457.84473927605,482.33849075995,504.56359022259,531.55670410281,560.62621135843,588.65752192635,620.14948811994,654.0639132515,686.76710891407,723.50773613993,763.07456546008,801.22829373309],"description":"88 cents scale approximated"},"cet88b":{"frequencies":[261.6255653006,275.26385669298,289.61326650562,304.7105300898,320.59498481995,337.30729585456,354.89100872976,373.39113880701,392.85588995712,413.33509311257,434.8821088097,457.55209870333,481.40413163568,506.49927024418,532.9029023296],"description":"87.9745 cents steps. Least squares of 7/6, 11/9, 10/7, 3/2, 7/4."},"cet88bis":{"frequencies":[261.6255653006,289.53272725508,320.41669955092,337.26306895804,373.23835706057,392.86190344834,434.76782633734,457.62637091093],"description":"Bistep approximation of 2212121 mode in 7/4 to 11/9 9/7 10/7 3/2"},"cet88bm":{"frequencies":[261.6255653006,275.22889829239,289.53954239223,304.59427454323,320.43178392135,337.09277136281,354.62005396115,373.05867644715,392.45602022512,412.86193859025,434.32887139488,456.91198653787,480.66932039657,505.66192697453,531.95403480429],"description":"87.75412 cents steps. Minimal highest deviation for 7/6, 11/9, 10/7, 3/2, 7/4."},"cet88c":{"frequencies":[261.6255653006,275.37188725148,289.84046967782,305.06925821769,321.09819727018,337.96933026971,355.72690383892,374.4174952616,394.09012940783,414.79640018179,436.59061916193,459.52995194191,483.67455974508,509.0877727469,535.83624905561,563.99013984227,593.62329144382,624.813430743,657.64235771869,692.19618110881,728.56553457307,766.84580121693,807.13738838693,849.54597972796,894.18279699007,941.16492045434,990.61558284509,1042.66447461031,1097.44811755542,1155.11020756021,1215.8019705522,1279.68259818323,1346.91964745566,1417.68945580607,1492.17764912727,1570.57960775359,1653.10095047047,1739.95812689496,1831.3789571042],"description":"38th root of 7. McLaren 'Microtonal Music', volume 3, track 7"},"cet89":{"frequencies":[261.6255653006,275.56724848068,290.25186566903,305.71900507847,322.01036982349,339.16988002511,357.2437980159,376.28084921395,396.33236207144,417.45239374596,439.69788420361,463.12880499146,487.80833148705,513.80299757552,541.1828853206,570.0218080747,600.39752248465,632.39191886931,666.09125466774,701.58637981228,738.97299766656,778.35189934333,819.82925103406,863.51687139942,909.53255273344,958.00034936337,1009.05093129669,1062.82192563509,1119.45831186524,1179.11277682321,1241.94614996535,1308.127826503],"description":"31st root of 5. McLaren 'Microtonal Music', volume 2, track 22"},"cet90":{"frequencies":[261.6255653006,275.62199471997,290.36720431405,305.90125228146,322.26633935092,339.50692625527,357.66984706396,376.80444887746,396.96271256675,418.19939952297,440.572208006,464.1419130862,488.97255163391,515.13157534193,542.69005603758,571.72285881831,602.3088534069,634.53113933145],"description":"Scale with limma steps"},"cet93":{"frequencies":[261.6255653006,275.99488223824,291.15340824655,307.14448922429,324.01384989472,341.80973194459,360.58302103444,380.38739950036,401.27949808494,423.31905787312],"description":"Tuning used in John Chowning's STRIA, 9th root of Phi"},"cet98":{"frequencies":[261.6255653006,276.83245825991,292.92324815749,309.94930780463,327.96500300935,347.02785219778,367.1987248383,388.54202015806,411.12588832951],"description":"8th root of 11/7, X.J. Scott"},"chahargah":{"frequencies":[261.6255653006,277.18263097687,283.66146785671,311.12698372208,326.97270111135,348.82502010853,367.86341164695,392.44854854484,415.30469757995,425.01198472693,466.16376151809,493.88330125613,523.2511306012],"description":"Chahargah in C"},"chahargah2":{"frequencies":[261.6255653006,283.66146785671,327.729041887,348.82502010853,392.44854854484,425.01198472693,493.88330125613,523.2511306012],"description":"Dastgah Chahargah in C, Mohammad Reza Gharib"},"chalmers":{"frequencies":[261.6255653006,274.70684356563,279.06726965397,294.32876096318,305.22982618403,313.95067836072,327.03195662575,343.38355445704,348.83408706747,366.27579142084,381.53728273004,392.4383479509,412.06026534844,418.60090448096,436.04260883433,457.84473927605,470.92601754108,488.36772189445,515.07533168556,523.2511306012],"description":"Chalmers' 19-tone with more hexanies than Perrett's Tierce-Tone"},"chalmers_17":{"frequencies":[261.6255653006,269.10058145205,286.15296204753,294.32876096318,313.95067836072,327.03195662575,336.37572681506,343.38355445704,376.74081403286,384.42940207435,392.4383479509,400.61414686654,408.78994578219,448.50096908674,457.84473927605,470.92601754108,490.54793493862,523.2511306012],"description":"7-limit figurative scale, Chalmers '96 Adnexed S&H decads"},"chalmers_19":{"frequencies":[261.6255653006,269.10058145205,290.69507255622,294.32876096318,305.22982618403,313.95067836072,336.37572681506,348.83408706747,356.10146388137,363.36884069528,376.74081403286,384.42940207435,392.4383479509,406.97310157871,436.04260883433,448.50096908674,465.11211608996,470.92601754108,508.71637697339,523.2511306012],"description":"7-limit figurative scale. Reversed S&H decads"},"chalmers_csurd":{"frequencies":[261.6255653006,273.35108123154,287.04667286017,303.37994773979,315.80837468238,323.38635505005,348.83408706747,357.38803216938,383.0466618906,392.4383479509,423.31690179539,433.47765231178,451.2357321491,476.91154755397,500.80604115761,523.2511306012],"description":"Combined Surd Scale, combination of Surd and Inverted Surd, JHC, 26-6-97"},"chalmers_isurd":{"frequencies":[261.6255653006,273.35108123154,287.04667286017,303.37994773979,323.38635505005,348.83408706747,383.0466618906,433.47765231178,523.2511306012],"description":"Inverted Surd Scale, of the form 4/(SQRT(N)+1, JHC, 26-6-97"},"chalmers_ji1":{"frequencies":[261.6255653006,277.97716313189,294.32876096318,310.68035879446,327.03195662575,348.83408706747,370.63621750918,392.4383479509,414.24047839262,436.04260883433,466.02053819169,490.54793493862,523.2511306012],"description":"Based loosely on Wronski's and similar JI scales, May 2, 1997."},"chalmers_ji2":{"frequencies":[261.6255653006,277.97716313189,294.32876096318,310.68035879446,327.03195662575,348.83408706747,370.63621750918,392.4383479509,416.96574469783,441.49314144476,466.02053819169,490.54793493862,523.2511306012],"description":"Based loosely on Wronski's and similar JI scales, May 2, 1997."},"chalmers_ji3":{"frequencies":[261.6255653006,279.06726965397,296.50897400735,313.95067836072,331.39238271409,348.83408706747,366.27579142084,392.4383479509,418.60090448096,444.76346101102,470.92601754108,497.08857407114,523.2511306012],"description":"15 16 17 18 19 20 21 on 1/1, 15-20 on 3/2, May 2, 1997. See other scales"},"chalmers_ji4":{"frequencies":[261.6255653006,279.06726965397,296.50897400735,313.95067836072,331.39238271409,348.83408706747,372.08969287196,395.34529867646,418.60090448096,441.85651028546,465.11211608996,496.11959049595,523.2511306012],"description":"15 16 17 18 19 20 on 1/1, same on 4/3, + 16/15 on 16/9"},"chalmers_surd":{"frequencies":[261.6255653006,315.80837468238,357.38803216938,392.4383479509,423.31690179539,451.2357321491,476.91154755397,500.80604115761,523.2511306012],"description":"Surd Scale, Surds of the form (SQRT(N)+1)/2, JHC, 26-6-97"},"chalmers_surd2":{"frequencies":[261.6255653006,272.2395613933,282.33485096279,291.98077704337,301.23248980765,310.13469895524,318.72425558532,327.03195662575,335.08385052998,342.90220911983,350.50624086893,357.91266581346,365.13613061818,372.18956061116,379.08442465499,385.8309605564,392.4383479509,398.91485744029,405.26796981327,411.50448329997,417.63058822561,423.65195171798,429.57376586736,435.40081471708,441.13750301549,446.78791303515,452.35581962987,457.84473927605,463.2579384726,468.59846621725,473.86917438523,479.07273156015,484.21164154672,489.28825377326,494.3047826718,499.26331035461,504.16580309972,509.01411882861,513.81001953884,518.55516185524,523.2511306012],"description":"Surd Scale, Surds of the form (SQRT(N)+1)/4"},"chalung":{"frequencies":[261.6255653006,328.09251713275,362.03316295439,390.31715077734,479.41117101029,527.4935758042,647.70012555753,728.30917696308,823.06004869243,961.65052057178,1054.9871516084,1301.05663342451],"description":"Tuning of chalung from Tasikmalaya. \"slendroid\". 1/1=185 Hz"},"chaumont":{"frequencies":[261.6255653006,273.37431312998,292.50627485027,309.49749487796,327.03195662575,349.91912034749,365.63284274659,391.22147055517,408.78994578219,437.39890198442,465.40109831725,489.02683710225,523.2511306012],"description":"Lambert Chaumont organ temperament (1695), 1st interpretation"},"chaumont2":{"frequencies":[261.6255653006,274.56549986328,292.86986732103,309.30531842668,327.84547867349,349.70184487387,366.99801003998,391.46454285105,410.8262805401,438.2147004401,465.11211608996,490.54793493862,523.2511306012],"description":"Lambert Chaumont organ temperament (1695), 2nd interpretation"},"chimes":{"frequencies":[261.6255653006,288.69027895239,130.8127826503,144.34513947619],"description":"Heavenly Chimes"},"chimes_peck":{"frequencies":[261.6255653006,327.03195662575,392.4383479509,457.84473927605,588.65752192635,719.47030457665,850.28308722695,981.09586987725,1046.5022612024],"description":"Kris Peck, 9-tone windchime tuning. TL 7-3-2001"},"chin_12":{"frequencies":[261.6255653006,277.05457499359,293.57996645301,310.53449241474,329.24697610111,347.79893712036,368.97000115401,391.76907592069,413.1274313058,439.00991514661,462.11551390967,491.43599249807,523.2511306012],"description":"Chinese scale, 4th cent."},"chin_5":{"frequencies":[261.6255653006,294.32876096318,348.83408706747,392.4383479509,441.49314144476,523.2511306012],"description":"Chinese pentatonic from Zhou period"},"chin_60":{"frequencies":[261.6255653006,262.17244551937,265.19499215873,268.81311753311,272.48060600886,276.1981310001,279.38237857051,283.19406633357,287.05775848811,290.97416342694,294.32876096318,294.94400091442,298.34436617857,302.41475692242,306.54068145351,310.72289706448,314.30517589183,318.59332496145,322.93997797627,327.34593352805,331.11985608357,331.812000697,335.63741195089,340.21660119759,344.85826629043,349.56326086722,353.59332287831,358.41749022331,363.30747486009,368.26417485089,372.50983809402,373.28850041093,377.59208844475,382.74367817547,387.96555142985,392.4383479509,393.25866808247,397.79248823809,403.21967609811,408.72090880899,414.29719629306,419.07356785577,424.79110016094,430.58663751693,436.46124492224,441.49314144476,442.41600115048,447.51654926786,453.62213515688,459.81102195042,466.08434536373,471.45776383774,477.8899872033,484.40996672226,491.01890004663,496.67978412536,497.7180007967,503.45611792634,510.32490448905,517.28740216504,523.2511306012],"description":"Chinese scale of fifths (the 60 lu\")"},"chin_7":{"frequencies":[261.6255653006,294.32876096318,331.11985608357,348.83408706747,392.4383479509,441.49314144476,496.67978412536,523.2511306012],"description":"Chinese heptatonic scale and tritriadic of 64:81:96 triad"},"chin_bianzhong":{"frequencies":[261.6255653006,277.82379926216,312.56802260838,375.1593523779,420.13030572059,469.40618689596,506.59641128799,563.72967895209,627.66881138238,764.75812197709,849.53311813274,949.1724262561,1225.95732655636],"description":"Pitches of Bianzhong bells (Xinyang). 1/1=b, Liang Mingyue, 1975."},"chin_bianzhong2a":{"frequencies":[261.6255653006,284.81073476233,312.56802260838,372.56793743951,413.39000965417,447.94973572445,491.60634075178,562.75365576207,652.05945856061,695.63805470995,863.88355261715,960.75607282217,1173.30283584026],"description":"A-tones (GU) of 13 Xinyang bells (Ma Cheng-Yuan) 1/1=d#=619 Hz"},"chin_bianzhong2b":{"frequencies":[261.6255653006,279.59231184543,312.74738729016,375.37536096215,418.43048063126,468.86028020615,505.12945327459,562.08698385796,624.42058858709,762.97988553915,849.53425657971,936.08862980659,1215.37624187632],"description":"B-tones (SUI) of 13 Xinyang bells (Ma Cheng-Yuan) 1/1=b+=506.6 Hz"},"chin_bianzhong3":{"frequencies":[261.6255653006,508.3551866238,542.32970395878,608.04166718582,619.02750937577,673.88551872153,729.80120031671,739.56153452917,812.57643344187,881.52624580654,911.03313298042,978.11461117351,982.0774855146,1059.88575280263,1092.20381072382,1163.18085489566,1213.27682870749,1331.52122774489,1483.40111876828,1542.82606951623,1645.93659621657,1649.74391394557,1818.91159982256,2044.01922018919,2273.22753490632,2362.92760489328,2776.13057951436],"description":"A and B-tones of 13 Xinyang bells (Ma Cheng-Yuan) abs. pitches wrt middle-C"},"chin_bronze":{"frequencies":[261.6255653006,299.00064605783,313.95067836072,327.03195662575,348.83408706747,392.4383479509,436.04260883433,523.2511306012],"description":"Scale found on ancient Chinese bronze instrument 3rd c.BC & \"Scholar's Lute\""},"chin_chime":{"frequencies":[261.6255653006,248.6592656401,341.74499057264,392.56190849927,548.78974538591,648.86582834888,714.36935367713,785.57745330134,889.7110417619,886.88898199546,992.62825668803,1044.08711871947,1326.14827969763],"description":"Pitches of 12 stone chimes, F. Kuttner, 1951, ROMA Toronto. %1=b4"},"chin_ching":{"frequencies":[261.6255653006,276.1981310001,294.32876096318,310.72289706448,331.11985608357,349.56326086722,368.26417485089,392.4383479509,414.29719629306,441.49314144476,466.08434536373,496.67978412536,524.34489103873],"description":"Scale of Ching Fang, c.45 BC. Pyth.steps 0 1 2 3 4 5 47 48 49 50 51 52 53"},"chin_di":{"frequencies":[261.6255653006,298.70635408336,316.56004827153,360.50766037677,409.94872043165,433.75364775074,527.37121036213],"description":"Chinese di scale"},"chin_di2":{"frequencies":[261.6255653006,289.95657583698,318.21537073485,338.89464890898,383.48501130814,436.9606979923,494.73987775324,522.04355935974],"description":"Observed tuning from Chinese flute dizi, Helmholtz/Ellis p. 518, nr.103"},"chin_huang":{"frequencies":[261.6255653006,331.11985608357,392.4383479509,441.49314144476,523.2511306012,588.65752192635,662.23971216714],"description":"Huang Zhong qin tuning"},"chin_liu-an":{"frequencies":[261.6255653006,278.83777354406,294.32876096318,311.64221749042,331.11985608357,353.19451315581,371.78369805875,392.4383479509,415.52295665389,441.49314144476,470.92601754108,492.82955324067],"description":"Scale of Liu An, in: \"Huai Nan Tzu\", c.122 BC, 1st known corr. to Pyth. scale"},"chin_lu":{"frequencies":[261.6255653006,277.01530443593,294.32876096318,313.95067836072,328.55303549378,348.83408706747,371.78369805875,392.4383479509,415.52295665389,441.49314144476,470.92601754108,495.71159741166,523.2511306012],"description":"Chinese L� scale by Huai Nan zi, Han era. P�re Amiot 1780, Kurt Reinhard"},"chin_lu2":{"frequencies":[261.6255653006,279.38237857051,294.32876096318,314.30517589183,331.11985608357,353.59332287831,372.50983809402,392.4383479509,419.07356785577,441.49314144476,471.45776383774,496.67978412536,523.2511306012],"description":"Chinese L� (Lushi chunqiu, by Lu Buwei). Mingyue: Music of the billion, p.67"},"chin_lu3":{"frequencies":[261.6255653006,277.34278419245,293.66476791741,310.58830860439,329.24697610111,347.81902735497,369.14054089803,391.76907592069,413.1512951712,439.23819834286,462.1422075194,491.60634075178,523.2511306012],"description":"Chinese L� scale by Ho Ch'�ng-T'ien, reported in Sung Shu (500 AD)"},"chin_lu3a":{"frequencies":[261.6255653006,277.06033146978,293.58830182213,310.53780743131,329.25144446584,347.79484055318,368.74579520635,391.78066943209,413.13681807919,438.99947255393,462.1072190611,491.17907538715,523.2511306012],"description":"Chinese L� scale by Ho Ch'�ng-T'ien, calc. basis is \"big number\" 177147"},"chin_lu4":{"frequencies":[261.6255653006,276.78521684908,293.5444075184,310.55356739316,329.35741152087,348.44172229085,369.5396750577,391.9150968203,414.62425518576,439.72952246257,465.20924434298,493.37740286979,523.2511306012],"description":"Chinese L� \"749-Temperament\""},"chin_lu5":{"frequencies":[261.6255653006,277.35401920913,293.41471131112,311.37240624271,329.40299530711,349.20610523279,369.80535913035,392.03738806826,415.16320853113,440.12206674667,466.08434536373,494.10449271367,522.71643616375],"description":"Chinese L� scale by Ch'ien Lo-Chih, c.450 AD Pyth.steps 0 154 255 103 204 etc."},"chin_lusheng":{"frequencies":[261.6255653006,316.38258506467,348.82502010853,389.28772571905,466.97226207056,520.53801357752],"description":"Observed tuning of a small Lusheng, 1/1=d, OdC '97"},"chin_pan":{"frequencies":[261.6255653006,275.62199471997,279.38237857051,290.36720431405,294.32876096318,310.07474405997,326.6631048533,331.11985608357,344.13890881665,348.83408706747,367.49599295996,372.50983809402,387.15627241873,392.4383479509,413.43299207996,419.07356785577,435.55080647107,441.49314144476,458.8518784222,465.11211608996,489.99465727995,496.67978412536,516.20836322497,523.2511306012],"description":"Pan Huai-su pure system, in: Sin-Yan Shen, 1991"},"chin_pipa":{"frequencies":[261.6255653006,284.4818984792,320.42873367481,380.17671965621,433.44136952667,521.74210224793],"description":"Observed tuning from Chinese balloon lute p'i-p'a, Helmholtz/Ellis p. 518, nr.109"},"chin_sheng":{"frequencies":[261.6255653006,295.36595061166,318.03161540472,348.82502010853,395.40657391157,442.03793673691,477.05982293263,522.94897617031],"description":"Observed tuning from Chinese sheng or mouth organ, Helmholtz/Ellis p. 518, nr.105"},"chin_sientsu":{"frequencies":[261.6255653006,291.80478157373,326.97270111135,392.44854854484,438.22451411849,523.2511306012],"description":"Observed tuning from Chinese tamboura sienzi, Helmholtz/Ellis p. 518, nr.108"},"chin_sona":{"frequencies":[261.6255653006,284.4818984792,310.58830860439,337.33223582731,377.98706287655,418.43499793376,469.94877954106,528.10941333272],"description":"Observed tuning from Chinese oboe (so-na), Helmholtz/Ellis p. 518, nr.104"},"chin_wang-po":{"frequencies":[261.6255653006,294.32876096318,330.24264909897,371.97947673071,392.4383479509,440.94196398978,495.71159741166,517.50111817701],"description":"Scale of Wang Po, 958 AD. H. Pischner: Musik in China, Berlin, 1955, p.20"},"chin_yangqin":{"frequencies":[261.6255653006,288.45311779165,306.48933163909,347.41744306689,383.26356564167,434.44398956347,465.08793784701,522.64699622026],"description":"Observed tuning from Chinese dulcimer yangqin, Helmholtz/Ellis p. 518, nr.107"},"chin_yunlo":{"frequencies":[261.6255653006,288.45311779165,323.40385076956,367.0144478307,386.1523605003,409.35055662695,483.1608380663,525.67465946865],"description":"Observed tuning from Chinese gong-chime (y�n-lo), Helmholtz/Ellis p. 518, nr.106"},"choquel":{"frequencies":[261.6255653006,272.52663052146,294.32876096318,313.95067836072,327.03195662575,348.83408706747,367.91095120397,392.4383479509,408.78994578219,436.04260883433,475.68284600109,490.54793493862,523.2511306012],"description":"Choquel/Barbour/Marpurg?"},"chordal":{"frequencies":[261.6255653006,392.4383479509,327.03195662575,457.84473927605,588.65752192635,719.47030457665,850.28308722695,981.09586987725,981.09586987725,490.54793493862,555.95432626377,621.36071758893,310.68035879446,523.2511306012,348.83408706747,418.60090448096,299.00064605783,465.11211608996,380.54627680087,322.00069575458,279.06726965397,610.45965236807,915.6894785521,872.08521766867,697.66817413493,654.0639132515,627.90135672144,448.50096908674,319.76457981184,377.90359432309,444.76346101102,889.52692202204,336.37572681506,294.32876096318,465.11211608996,411.12588832951,305.22982618403,366.27579142084,373.75080757229,313.95067836072,470.92601754108],"description":"Chordal Notes S&H"},"chrom15":{"frequencies":[261.6255653006,280.31310567921,301.87565226992,356.76213450082,392.4383479509,413.09299784305,436.04260883433,523.2511306012],"description":"Tonos-15 Chromatic"},"chrom15_inv":{"frequencies":[261.6255653006,313.95067836072,331.39238271409,348.83408706747,383.71749577421,453.48431318771,488.36772189445,523.2511306012],"description":"Inverted Chromatic Tonos-15 Harmonia"},"chrom15_inv2":{"frequencies":[261.6255653006,279.06726965397,296.50897400735,348.83408706747,383.71749577421,401.15920012759,418.60090448096,523.2511306012],"description":"A harmonic form of the Chromatic Tonos-15 inverted"},"chrom17":{"frequencies":[261.6255653006,277.97716313189,296.50897400735,370.63621750918,404.33041910093,423.58424858192,444.76346101102,523.2511306012],"description":"Tonos-17 Chromatic"},"chrom17_con":{"frequencies":[261.6255653006,277.97716313189,296.50897400735,370.63621750918,386.75083566176,404.33041910093,494.18162334558,523.2511306012],"description":"Conjunct Tonos-17 Chromatic"},"chrom19":{"frequencies":[261.6255653006,276.16031892841,292.40504357126,355.06326719367,382.37582620857,397.67085925691,414.24047839262,523.2511306012],"description":"Tonos-19 Chromatic"},"chrom19_con":{"frequencies":[261.6255653006,276.16031892841,292.40504357126,355.06326719367,368.21375857121,382.37582620857,451.89870370104,523.2511306012],"description":"Conjunct Tonos-19 Chromatic"},"chrom21":{"frequencies":[261.6255653006,274.70684356563,289.16509849014,343.38355445704,392.4383479509,406.97310157871,422.62591317789,523.2511306012],"description":"Tonos-21 Chromatic"},"chrom21_inv":{"frequencies":[261.6255653006,323.91736656265,336.37572681506,348.83408706747,398.6675280771,473.41768959156,498.33441009638,523.2511306012],"description":"Inverted Chromatic Tonos-21 Harmonia"},"chrom21_inv2":{"frequencies":[261.6255653006,279.06726965397,299.00064605783,348.83408706747,398.6675280771,423.58424858192,448.50096908674,523.2511306012],"description":"Inverted harmonic form of the Chromatic Tonos-21"},"chrom23":{"frequencies":[261.6255653006,273.51763645063,286.54228580542,334.29933343966,376.08675011961,401.15920012759,429.81342870813,523.2511306012],"description":"Tonos-23 Chromatic"},"chrom23_con":{"frequencies":[261.6255653006,273.51763645063,286.54228580542,334.29933343966,353.96400011258,376.08675011961,462.87600014722,523.2511306012],"description":"Conjunct Tonos-23 Chromatic"},"chrom25":{"frequencies":[261.6255653006,278.32506946872,297.30177875068,363.36884069528,408.78994578219,436.04260883433,467.18850946536,523.2511306012],"description":"Tonos-25 Chromatic"},"chrom25_con":{"frequencies":[261.6255653006,278.32506946872,297.30177875068,363.36884069528,384.74347838324,408.78994578219,503.12608711654,523.2511306012],"description":"Conjunct Tonos-25 Chromatic"},"chrom27":{"frequencies":[261.6255653006,277.01530443593,294.32876096318,353.19451315581,392.4383479509,415.52295665389,441.49314144476,523.2511306012],"description":"Tonos-27 Chromatic"},"chrom27_inv":{"frequencies":[261.6255653006,310.07474405997,329.45441556372,348.83408706747,387.59343007496,465.11211608996,494.18162334558,523.2511306012],"description":"Inverted Chromatic Tonos-27 Harmonia"},"chrom27_inv2":{"frequencies":[261.6255653006,271.31540105247,281.00523680435,348.83408706747,387.59343007496,406.97310157871,436.04260883433,523.2511306012],"description":"Inverted harmonic form of the Chromatic Tonos-27"},"chrom29":{"frequencies":[261.6255653006,270.96933548991,281.00523680435,344.87006335079,379.35706968587,399.32323124828,421.50785520652,523.2511306012],"description":"Tonos-29 Chromatic"},"chrom29_con":{"frequencies":[261.6255653006,270.96933548991,281.00523680435,344.87006335079,361.29244731988,379.35706968587,474.19633710734,523.2511306012],"description":"Conjunct Tonos-29 Chromatic"},"chrom31":{"frequencies":[261.6255653006,279.66870773512,300.3849083081,337.93302184661,352.6257619269,368.65420565085,386.2091678247,405.51962621593,523.2511306012],"description":"Tonos-31 Chromatic. Tone 24 alternates with 23 as MESE or A"},"chrom31_con":{"frequencies":[261.6255653006,279.66870773512,300.3849083081,337.93302184661,352.6257619269,368.65420565085,386.2091678247,450.57736246214,523.2511306012],"description":"Conjunct Tonos-31 Chromatic"},"chrom33":{"frequencies":[261.6255653006,278.50463402967,297.71185016965,359.73515228832,392.4383479509,411.12588832951,431.68218274599,523.2511306012],"description":"Tonos-33 Chromatic. 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Chalmers '96"},"corner17":{"frequencies":[261.6255653006,265.71346475842,269.80136421624,277.97716313189,286.15296204753,292.28481123426,294.32876096318,295.35073582763,314.76825825228,318.85615771011,327.03195662575,343.38355445704,345.42750418595,347.47145391486,359.73515228832,371.99885066179,382.21859930635,392.4383479509,400.61414686654,408.78994578219,416.96574469783,425.14154361347,449.66894036041,451.71289008932,457.84473927605,486.4600354808,490.54793493862,494.63583439645,523.2511306012],"description":"Quadratic Corner 17-limit."},"corner17a":{"frequencies":[261.6255653006,265.71346475842,269.80136421624,275.93321340298,277.97716313189,286.15296204753,292.28481123426,294.32876096318,295.35073582763,306.59245933664,312.72430852337,314.76825825228,318.85615771011,327.03195662575,331.11985608357,337.2517052703,343.38355445704,345.42750418595,347.47145391486,359.73515228832,367.91095120397,371.99885066179,382.21859930635,392.4383479509,398.57019713763,400.61414686654,404.70204632437,408.78994578219,416.96574469783,425.14154361347,429.2294430713,441.49314144476,449.66894036041,451.71289008932,457.84473927605,459.88868900496,478.28423656516,486.4600354808,490.54793493862,494.63583439645,515.07533168556,521.20718087229,523.2511306012],"description":"Quadratic Corner 17 odd limit."},"corner7":{"frequencies":[261.6255653006,286.15296204753,294.32876096318,327.03195662575,343.38355445704,392.4383479509,400.61414686654,408.78994578219,457.84473927605,490.54793493862,523.2511306012],"description":"Quadratic corner 7-limit. 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Chalmers '96"},"corners13":{"frequencies":[261.6255653006,265.71346475842,269.80136421624,276.76092858245,279.06726965397,286.15296204753,292.28481123426,294.32876096318,299.00064605783,304.4370214407,314.76825825228,318.85615771011,322.00069575458,327.03195662575,334.88072358477,341.71502406609,343.38355445704,345.42750418595,348.83408706747,359.73515228832,368.0007951481,371.99885066179,380.54627680087,392.4383479509,396.30854862103,398.6675280771,400.61414686654,408.78994578219,418.60090448096,425.14154361347,429.33426100611,434.91003062957,449.66894036041,457.84473927605,465.11211608996,468.3646483703,478.40103369253,490.54793493862,494.63583439645,507.3950357345,515.20111320734,523.2511306012],"description":"Quadratic Corners 13-limit. Chalmers '96"},"corners7":{"frequencies":[261.6255653006,279.06726965397,286.15296204753,294.32876096318,299.00064605783,327.03195662575,334.88072358477,341.71502406609,343.38355445704,348.83408706747,392.4383479509,398.6675280771,400.61414686654,408.78994578219,418.60090448096,457.84473927605,465.11211608996,478.40103369253,490.54793493862,523.2511306012],"description":"Quadratic Corners 7-limit. Chalmers '96"},"corrette":{"frequencies":[261.6255653006,273.37431312998,292.50627485027,309.11326130363,327.03195662575,349.91912034749,365.63284274659,391.22147055517,411.33704984564,437.39890198442,465.11211608996,489.02683710225,523.2511306012],"description":"Corrette temperament"},"corrette2":{"frequencies":[261.6255653006,272.8349596094,292.34127285051,310.42509491746,326.6631048533,350.01785633742,365.01443422269,391.11111150212,409.71484950008,437.02884834934,466.16376151809,488.33748205014,523.2511306012],"description":"Michel Corrette, modified meantone temperament (1753)"},"coul_12":{"frequencies":[261.6255653006,272.52663052146,290.69507255622,313.95067836072,327.03195662575,340.65828815182,363.36884069528,392.4383479509,408.78994578219,436.04260883433,470.92601754108,490.54793493862,523.2511306012],"description":"Scale 1 5/4 3/2 2 successively split largest intervals by smallest interval"},"coul_12a":{"frequencies":[261.6255653006,272.52663052146,290.69507255622,313.95067836072,327.03195662575,348.83408706747,376.74081403286,392.4383479509,408.78994578219,436.04260883433,470.92601754108,490.54793493862,523.2511306012],"description":"Scale 1 6/5 3/2 2 successively split largest intervals by smallest interval"},"coul_12sup":{"frequencies":[261.6255653006,280.31310567921,294.32876096318,310.68035879446,331.39238271409,348.83408706747,373.75080757229,392.4383479509,420.46965851882,441.49314144476,466.02053819169,497.08857407114,523.2511306012],"description":"Superparticular approximation to Pythagorean scale. Op de Coul, 2003"},"coul_13":{"frequencies":[261.6255653006,279.06726965397,294.32876096318,313.95067836072,327.03195662575,348.83408706747,363.36884069528,376.74081403286,392.4383479509,418.60090448096,436.04260883433,465.11211608996,490.54793493862,523.2511306012],"description":"Symmetrical 13-tone 5-limit just system"},"coul_17sup":{"frequencies":[261.6255653006,276.16031892841,279.06726965397,294.57100685697,310.07474405997,313.95067836072,331.39238271409,348.83408706747,368.21375857121,372.08969287196,392.76134247596,413.43299207996,418.60090448096,441.85651028546,465.11211608996,470.92601754108,497.08857407114,523.2511306012],"description":"Superparticular approximation to Pythagorean 17-tone scale. Op de Coul, 2003"},"coul_20":{"frequencies":[261.6255653006,277.18263097687,282.2367833559,293.66476791741,305.55548036855,311.12698372208,329.62755691287,335.63799088232,349.22823143301,363.36884069528,369.99442271164,391.99543598175,399.14308682247,415.30469757995,432.12070439462,440,466.16376151809,474.66379875343,493.88330125613,513.88101620607,523.2511306012],"description":"Tuning for a 3-row symmetrical keyboard, Op de Coul, 1989"},"coul_27":{"frequencies":[261.6255653006,275.62199471997,275.93321340298,279.06726965397,293.99679436797,294.32876096318,310.07474405997,310.42486507835,327.03195662575,330.74639366397,331.11985608357,348.83408706747,367.49599295996,367.91095120397,372.08969287196,372.50983809402,392.4383479509,413.43299207996,413.89982010446,418.60090448096,440.99519155196,441.49314144476,465.11211608996,465.63729761752,490.54793493862,496.11959049595,496.67978412536,523.2511306012],"description":"Symmetrical 27-tone 5-limit just system, 67108864/66430125 and 25/24"},"counterschismic":{"frequencies":[261.6255653006,265.12640119254,268.67408364533,272.2692364133,275.65170316539,279.34022410565,283.07810312094,286.865997406,290.70457953408,294.3160713245,298.25434362449,302.24531258767,306.28968684494,310.09479611189,314.24420508029,318.4491358588,322.71033506911,327.0285519162,331.0913069245,335.5216703313,340.01131880467,344.56104171562,348.84160709651,353.50948891197,358.2398341551,363.03347451625,367.54352740958,372.46166135084,377.44560747755,382.49624206822,387.61445966759,392.4298881006,397.68103103357,403.0024376988,408.3950505989,413.46864135256,419.00130591222,424.60800114791,430.28972009123,436.04746916004,441.46459261549,447.37187116862,453.35819556254,459.4246261707,465.13216971689,471.35614630867,477.663406507,484.05506753352,490.06860102591,496.62625431187,503.27165616309,510.00598369715,516.83042094502,523.2511306012],"description":"Counterschismic temperament, g=498.082318, 5-limit"},"couperin":{"frequencies":[261.6255653006,273.37431312998,292.50627485027,309.28785294636,327.03195662575,349.91912034749,365.63284274659,391.22147055517,408.78994578219,437.39890198442,465.24345038333,489.02683710225,523.2511306012],"description":"Couperin modified meantone"},"cross13":{"frequencies":[261.6255653006,281.75060878526,285.40970760065,290.69507255622,299.00064605783,305.22982618403,322.00069575458,332.97799220076,336.37572681506,366.27579142084,373.75080757229,406.97310157871,411.12588832951,425.14154361347,448.50096908674,457.84473927605,470.92601754108,479.64686971777,485.87604984397,523.2511306012],"description":"13-limit harmonic/subharmonic cross"},"cross2":{"frequencies":[261.6255653006,282.55561052465,339.14425131559,366.27579142084,436.04260883433,470.92601754108,560.62621135843,605.4763082671,726.73768139056,784.8766959018],"description":"Pusey's double 5-7 cross reduced by 3/1"},"cross2_5":{"frequencies":[261.6255653006,279.06726965397,294.32876096318,313.95067836072,348.83408706747,392.4383479509,436.04260883433,465.11211608996,490.54793493862,523.2511306012],"description":"double 3-5 cross reduced by 2/1"},"cross2_7":{"frequencies":[261.6255653006,294.32876096318,299.00064605783,327.03195662575,334.88072358477,341.71502406609,348.83408706747,392.4383479509,400.61414686654,408.78994578219,418.60090448096,457.84473927605,465.11211608996,523.2511306012],"description":"longer 3-5-7 cross reduced by 2/1"},"cross3":{"frequencies":[261.6255653006,282.55561052465,311.45900631024,336.37572681506,363.28578496026,403.74315632809,436.04260883433,470.92601754108,508.60009894437,565.24041885932,610.45965236807,659.29642455751,726.73768139056,784.8766959018],"description":"Pusey's triple 5-7 cross reduced by 3/1"},"cross_7":{"frequencies":[261.6255653006,299.00064605783,327.03195662575,348.83408706747,392.4383479509,418.60090448096,457.84473927605,523.2511306012],"description":"3-5-7 cross reduced by 2/1, quasi diatonic, similar to Zalzal's, Flynn Cohen"},"cross_72":{"frequencies":[261.6255653006,279.06726965397,294.32876096318,305.22982618403,313.95067836072,343.38355445704,348.83408706747,392.4383479509,398.6675280771,436.04260883433,448.50096908674,465.11211608996,490.54793493862,523.2511306012],"description":"double 3-5-7 cross reduced by 2/1"},"cross_7a":{"frequencies":[261.6255653006,336.37572681506,392.4383479509,436.04260883433,470.92601754108,523.2511306012,610.45965236807,784.8766959018],"description":"2-5-7 cross reduced by 3/1"},"cruciform":{"frequencies":[261.6255653006,294.32876096318,306.59245933664,313.95067836072,327.03195662575,348.83408706747,367.91095120397,392.4383479509,408.78994578219,418.60090448096,436.04260883433,490.54793493862,523.2511306012],"description":"Cruciform Lattice"},"galilei":{"frequencies":[261.6255653006,277.66336828161,293.32570896007,311.30674962848,328.86683469969,348.2210758395,368.7143392539,390.41365788584,413.39000965417,437.71854962063,463.47885582013,490.75518955849,523.2511306012],"description":"Vincenzo Galilei's approximation"},"gamelan_om":{"frequencies":[261.6255653006,280.31310567921,294.32876096318,305.22982618403,327.03195662575,348.83408706747,366.27579142084,392.4383479509,406.97310157871,436.04260883433,457.84473927605,490.54793493862,523.2511306012],"description":"Other Music gamelan (7 limit black keys)"},"gamelan_udan":{"frequencies":[261.6255653006,261.6255653006,290.69507255622,305.22982618403,334.88072358477,351.32575911795,364.00078650518,392.4383479509,402.50086969323,465.11211608996,465.11211608996,501.44900015948,523.2511306012],"description":"Gamelan Udan Mas (approx) s6,p6,p7,s1,p1,s2,p2,p3,s3,p4,s5,p5"},"ganassi":{"frequencies":[261.6255653006,275.39533189537,290.69507255622,307.79478270659,327.03195662575,348.83408706747,369.35373924791,392.4383479509,413.09299784305,436.04260883433,461.69217405988,490.54793493862,523.2511306012],"description":"Sylvestro Ganassi's temperament (1543)"},"gann_custer":{"frequencies":[261.6255653006,269.80136421624,274.70684356563,279.06726965397,287.78812183066,290.69507255622,294.32876096318,299.00064605783,305.22982618403,313.95067836072,319.76457981184,327.03195662575,336.37572681506,343.38355445704,348.83408706747,353.19451315581,359.73515228832,366.27579142084,380.54627680087,392.4383479509,406.97310157871,418.60090448096,428.11456140098,436.04260883433,448.50096908674,457.84473927605,465.11211608996,470.92601754108,479.64686971777,490.54793493862,507.3950357345,523.2511306012],"description":"Kyle Gann, scale from Custer's Ghost to Sitting Bull, 1/1=G"},"gann_frac":{"frequencies":[261.6255653006,264.89588486686,294.32876096318,305.22982618403,309.04519901133,313.95067836072,348.83408706747,353.19451315581,366.27579142084,392.4383479509,397.34382730029,412.06026534844,418.60090448096,423.83341578697,457.84473927605,470.92601754108,523.2511306012],"description":"Kyle Gann, scale from Fractured Paradise, 1/1=B"},"gann_ghost":{"frequencies":[261.6255653006,294.32876096318,305.22982618403,343.38355445704,348.83408706747,392.4383479509,406.97310157871,457.84473927605,523.2511306012],"description":"Kyle Gann, scale from Ghost Town, 1/1=E"},"gann_super":{"frequencies":[261.6255653006,287.78812183066,290.69507255622,294.32876096318,299.00064605783,313.95067836072,327.03195662575,336.37572681506,348.83408706747,359.73515228832,366.27579142084,373.75080757229,392.4383479509,411.12588832951,406.97310157871,418.60090448096,436.04260883433,448.50096908674,457.84473927605,465.11211608996,470.92601754108,523.2511306012],"description":"Kyle Gann, scale from Superparticular Woman (1992), 1/1=G"},"gann_things":{"frequencies":[261.6255653006,266.47048317654,272.52663052146,290.69507255622,294.32876096318,299.00064605783,305.22982618403,313.95067836072,319.76457981184,327.03195662575,336.37572681506,343.38355445704,348.83408706747,373.75080757229,387.59343007496,392.4383479509,406.97310157871,408.78994578219,436.04260883433,448.50096908674,465.11211608996,490.54793493862,498.33441009638,508.71637697339,523.2511306012],"description":"Kyle Gann, scale from How Miraculous Things Happen, 1/1=A"},"garcia":{"frequencies":[261.6255653006,268.33391312882,271.68808704293,279.06726965397,286.22284067074,294.32876096318,301.87565226992,310.07474405997,313.95067836072,322.00069575458,331.11985608357,339.61010880366,348.83408706747,357.77855083843,362.25078272391,372.08969287196,381.63045422766,392.4383479509,402.50086969323,407.5321305644,418.60090448096,429.33426100611,441.49314144476,452.81347840488,465.11211608996,470.92601754108,483.00104363188,496.11959049595,509.4151632055,523.2511306012],"description":"Linear 29-tone scale by Jos� L. Garcia, 1988 15/13-52/45 alternating"},"garibaldi24":{"frequencies":[261.6255653006,271.45160478635,275.48458787532,290.07776082447,294.38747453868,305.44397410364,309.9819851541,326.40257969757,331.25197480486,343.69301829526,348.79929894143,361.89937857146,367.27615309757,386.73177659938,392.47748849606,407.21801775129,413.26809573999,435.16003837828,441.62525370518,458.21165716245,465.0193526482,489.65270106975,496.92751922541,515.59094540799,523.2511306012],"description":"Garibaldi[24] in 94-tET tuning."},"genovese":{"frequencies":[261.6255653006,277.01530443593,277.97716313189,279.06726965397,280.31310567921,281.75060878526,283.42769574232,285.40970760065,287.78812183066,290.69507255622,294.32876096318,296.50897400735,299.00064605783,301.87565226992,305.22982618403,307.79478270659,309.19384990071,313.95067836072,317.68818643644,319.76457981184,322.00069575458,327.03195662575,332.97799220076,336.37572681506,338.57426097725,340.11323489078,342.12573923925,348.83408706747,356.76213450082,359.73515228832,362.25078272391,366.27579142084,369.35373924791,370.63621750918,373.75080757229,377.90359432309,380.54627680087,383.71749577421,392.4383479509,400.13321751856,402.50086969323,404.33041910093,406.97310157871,411.12588832951,418.60090448096,425.14154361347,428.11456140098,430.91269578922,436.04260883433,442.75095666255,444.76346101102,448.50096908674,453.48431318771,457.84473927605,461.69217405988,465.11211608996,470.92601754108,475.68284600109,479.64686971777,483.00104363188,485.87604984397,488.36772189445,490.54793493862,492.47165233054,494.18162334558,523.2511306012],"description":"Denny Genovese's 65-note scale. 3/2=384 Hz"},"genovese_12":{"frequencies":[261.6255653006,285.40970760065,294.32876096318,313.95067836072,327.03195662575,348.83408706747,359.73515228832,392.4383479509,425.14154361347,448.50096908674,457.84473927605,490.54793493862,523.2511306012],"description":"Denny Genovese's superposition of harmonics 8-16 and subharmonics 6-12"},"genovese_38":{"frequencies":[261.6255653006,280.31310567921,283.42769574232,285.40970760065,287.78812183066,290.69507255622,294.32876096318,299.00064605783,305.22982618403,309.19384990071,313.95067836072,319.76457981184,327.03195662575,332.97799220076,336.37572681506,340.11323489078,348.83408706747,356.76213450082,359.73515228832,366.27579142084,373.75080757229,377.90359432309,380.54627680087,392.4383479509,406.97310157871,411.12588832951,418.60090448096,425.14154361347,428.11456140098,436.04260883433,448.50096908674,457.84473927605,465.11211608996,470.92601754108,475.68284600109,479.64686971777,485.87604984397,490.54793493862,523.2511306012],"description":"Denny Genovese's 38-note scale. Harm 1..16 x Subh. 1..12"},"gf1-2":{"frequencies":[261.6255653006,269.29177952703,277.18263097687,285.30470202322,293.66476791741,311.12698372208,320.24370022528,339.28638158975,349.22823143301,359.46139971304,380.8360868427,403.48177901006,415.30469757995,440,466.16376151809,493.88330125613,523.2511306012],"description":"16-note scale with all possible quadruplets of 50 & 100 c. Galois Field GF(2)"},"gf2-3":{"frequencies":[261.6255653006,270.85177093588,280.40333801024,290.29174037004,300.52885648597,316.56538760238,327.729041887,345.21700307457,357.39105439675,369.99442271164,389.73770840504,410.5345162762,425.01198472693,447.69106452518,471.58032351597,496.7443381147,523.2511306012],"description":"16-note scale with all possible quadruplets of 60 & 90 c. Galois Field GF(2)"},"gilson7":{"frequencies":[261.6255653006,261.6255653006,299.00064605783,313.95067836072,327.03195662575,392.4383479509,373.75080757229,392.4383479509,408.78994578219,408.78994578219,467.18850946536,490.54793493862,523.2511306012],"description":"Gilson septimal"},"gilson7a":{"frequencies":[261.6255653006,261.6255653006,280.31310567921,299.00064605783,313.95067836072,336.37572681506,373.75080757229,373.75080757229,392.4383479509,418.60090448096,470.92601754108,470.92601754108,523.2511306012],"description":"Gilson septimal 2"},"golden_10":{"frequencies":[261.6255653006,287.58715183149,304.90466328003,323.26497397694,342.73087946949,376.74069565061,399.42672527674,423.47882962254,465.50141625349,493.53231135469,523.2511306012],"description":"Golden version of Rapoport's Major 10 out of 13"},"golden_5":{"frequencies":[261.6255653006,327.03195662575,343.38355445704,392.4383479509,425.14154361347,523.2511306012],"description":"Golden pentatonic"},"gradus10":{"frequencies":[261.6255653006,290.69507255622,299.00064605783,305.22982618403,490.54793493862,882.98628288953,930.22423217991,941.85203508216,1220.91930473613,1255.80271344288,1674.40361792384,2747.0684356563,3270.3195662575,3488.34087067467,5886.5752192635,10595.8353946743,10988.2737426252,11162.69078615893,13081.27826503,14651.0316568336,23546.300877054,31395.067836072,41860.090448096,42383.3415786972,56511.1221049296,75348.1628065728,100464.2170754304,133952.2894339072],"description":"Intervals > 1 with Gradus = 10"},"gradus3":{"frequencies":[261.6255653006,784.8766959018,1046.5022612024],"description":"Intervals > 1 with Gradus = 3"},"gradus4":{"frequencies":[261.6255653006,392.4383479509,1569.7533918036,2093.0045224048],"description":"Intervals > 1 with Gradus = 4"},"gradus5":{"frequencies":[261.6255653006,348.83408706747,1308.127826503,2354.6300877054,3139.5067836072,4186.0090448096],"description":"Intervals > 1 with Gradus = 5"},"gradus6":{"frequencies":[261.6255653006,654.0639132515,697.66817413493,1177.3150438527,2616.255653006,4709.2601754108,6279.0135672144,8372.0180896192],"description":"Intervals > 1 with Gradus = 6"},"gradus7":{"frequencies":[261.6255653006,327.03195662575,436.04260883433,588.65752192635,1395.33634826987,1831.3789571042,3924.383479509,5232.511306012,7063.8902631162,9418.5203508216,12558.0271344288,16744.0361792384],"description":"Intervals > 1 with Gradus = 7"},"gradus8":{"frequencies":[261.6255653006,294.32876096318,313.95067836072,418.60090448096,872.08521766867,915.6894785521,1962.1917397545,2790.67269653973,3531.9451315581,3662.7579142084,7848.766959018,10465.022612024,14127.7805262324,18837.0407016432,25116.0542688576,33488.0723584768],"description":"Intervals > 1 with Gradus = 8"},"gradus9":{"frequencies":[261.6255653006,457.84473927605,465.11211608996,470.92601754108,610.45965236807,627.90135672144,837.20180896192,981.09586987725,1744.17043533733,1765.97256577905,5494.1368713126,5581.34539307947,6540.639132515,7325.5158284168,11773.150438527,15697.533918036,20930.045224048,21191.6707893486,28255.5610524648,37674.0814032864,50232.1085377152,66976.1447169536],"description":"Intervals > 1 with Gradus = 9"},"grady11":{"frequencies":[261.6255653006,277.4816601673,290.69507255622,305.22982618403,332.97799220076,356.76213450082,378.42269266694,392.4383479509,420.46965851882,458.69417292962,481.6288815761,504.56359022259,523.2511306012],"description":"Kraig Grady's dual [5 7 9 11] hexany scale"},"grady7":{"frequencies":[261.6255653006,274.70684356563,294.32876096318,305.22982618403,327.03195662575,348.83408706747,366.27579142084,392.4383479509,406.97310157871,436.04260883433,457.84473927605,490.54793493862,523.2511306012],"description":"Kraig Grady's 7-limit \"Centaur\" scale (1987), see Xenharmonikon 16"},"grady7t":{"frequencies":[261.6255653006,274.79177208104,293.65339461903,305.54250820508,326.68804977983,349.10444036529,366.6627351378,392.00975085961,407.77240291308,436.0718257558,457.96530027286,489.37179607373,523.2511306012],"description":"Tempered version of grady7 with egalised 225/224"},"grady_14":{"frequencies":[261.6255653006,274.70684356563,294.32876096318,305.22982618403,327.03195662575,343.38355445704,348.83408706747,366.27579142084,392.4383479509,412.06026534844,441.49314144476,457.84473927605,490.54793493862,515.07533168556,523.2511306012],"description":"Kraig Grady, letter to Lou Harrison, published in 1/1 7 (1) 1991 p 5."},"grammateus":{"frequencies":[261.6255653006,277.49581689502,294.32876096318,312.18279369479,331.11985608357,348.83408706747,369.99442271164,392.4383479509,416.24372513446,441.49314144476,468.27419030811,496.67978412536,523.2511306012],"description":"H. Grammateus (Heinrich Schreiber) (1518). B-F# and Bb-F 1/2 P. Also Marpurg temp.nr.6"},"graupner":{"frequencies":[261.6255653006,277.083518473,293.59062125964,310.9808189359,329.55130849159,349.11528328816,370.00708353276,392.01655298731,415.20348378516,439.96413779539,466.04943410823,493.90517116572,523.2511306012],"description":"Johann Gottlieb Graupner's temperament (1819)"},"groenewald_21":{"frequencies":[261.6255653006,275.93321340298,279.06726965397,290.69507255622,294.32876096318,310.07474405997,313.95067836072,327.03195662575,330.74639366397,348.83408706747,367.91095120397,372.08969287196,392.4383479509,413.89982010446,418.60090448096,436.04260883433,441.49314144476,465.11211608996,470.92601754108,490.54793493862,496.11959049595,523.2511306012],"description":"J�rgen Gr�newald, new meantone temperament I (2000)"},"gross":{"frequencies":[13.75,13.83042567154,13.91662997964,13.99803029322,14.07990672861,14.1622619889,14.24509903843,14.32842061343,14.41222946472,14.49652860895,14.58132083065,14.67220542837,14.75802520833,14.84434696019,14.93117353378,15.01850805439,15.10635340681,15.19471249121,15.28358848801,15.37298433293,15.46880332718,15.55928251958,15.65029093742,15.74183158529,15.83390775812,15.92652249736,16.01967895316,16.113380201,16.20762961362,16.30865090754,16.4040424858,16.49999202274,16.59650278193,16.69357794961,16.79122101993,16.88943521823,16.98822378696,17.08759028197,17.18753798549,17.29466699621,17.39582592037,17.49757653721,17.59992220598,17.70286661052,17.80641315127,17.91056524676,18.01532664586,18.12070080902,18.23364617402,18.34029731861,18.44757228066,18.55547460176,18.66400816581,18.77317655783,18.88298349104,18.99343259063,19.10452783216,19.2236053387,19.33604689279,19.44914613325,19.56290690697,19.67733296969,19.79242844011,19.90819712001,20.02464283144,20.14176976577,20.26731246322,20.38585868839,20.50509842475,20.62503561099,20.74567420676,20.86701855437,20.98907266203,21.11184068121,21.23532666504,21.36768545088,21.49266790503,21.61838152318,21.74483045784,21.87201888365,21.99995137868,22.12863216875,22.25806563075,22.38825603783,22.52780097787,22.65956910312,22.79210808945,22.92542231482,23.05951631373,23.1943945132,23.33006176809,23.46652255971,23.60378139323,23.75090264526,23.88982499399,24.02955978014,24.17011203339,24.3114863964,24.45368753658,24.59672057234,24.74059022832,24.88530139802,25.04041015894,25.18687501732,25.33419642278,25.48237967807,25.63142967793,25.78135134315,25.93215007005,26.08383083979,26.23639881154,26.39992889083,26.55434576426,26.70966568928,26.86589425653,27.0230366265,27.18109814415,27.34008402779,27.5],"description":"Gross temperament, g=91.531021, 5-limit"},"groven":{"frequencies":[261.6255653006,264.7464578752,272.5650766677,275.81646505128,279.10663876478,290.77709705464,294.24573392894,297.75574765819,306.54921255625,310.20599265769,313.90639394672,327.03195662575,330.93307160522,334.88072358477,344.77058253591,348.88329767713,353.04507480266,363.47137260637,367.80716871461,372.19468374184,387.75749219625,392.38299382393,397.06367008113,408.78994578219,413.66634097248,418.60090448096,436.10412364188,441.30634506723,446.57062302059,459.75895986689,465.24335632603,470.79317533731,484.69686416326,490.47874118496,496.32958936031,517.08292506126,523.2511306012],"description":"Eivind Groven's 36-tone scale with 1/8-schisma temp. fifths and 5/4 (1948)"},"groven_ji":{"frequencies":[261.6255653006,264.89588486686,272.52663052146,275.93321340298,279.06726965397,290.69507255622,294.32876096318,297.67175429757,306.59245933664,310.07474405997,313.95067836072,327.03195662575,331.11985608357,334.88072358477,344.91651675372,348.83408706747,353.19451315581,363.36884069528,367.91095120397,372.08969287196,387.59343007496,392.4383479509,396.89567239676,408.78994578219,413.89982010446,418.60090448096,436.04260883433,441.49314144476,446.50763144636,459.88868900496,465.11211608996,470.92601754108,484.4917875937,490.54793493862,496.11959049595,517.37477513058,523.2511306012],"description":"Untempered version of Groven's 36-tone scale"},"gumbeng":{"frequencies":[261.6255653006,305.03156112838,348.43777142572,394.8168394034,470.9259392365,525.62941881859],"description":"Scale of gumbeng ensemble, Java. 1/1=440 Hz."},"gunkali":{"frequencies":[261.6255653006,275.93321340298,282.55561052465,348.83408706747,392.4383479509,408.78994578219,418.60090448096,523.2511306012],"description":"Indian mode Gunkali, see Dani�lou: Intr. to the Stud. of Mus. Scales, p.175"},"gyaling":{"frequencies":[261.6255653006,283.49766588023,307.55338551939,339.28638158975,347.81902735497,393.58362272115,435.9522698367],"description":"Tibetan Buddhist Gyaling tones measured from CD \"The Diamond Path\", Ligon 2002"},"far12_104":{"frequencies":[261.6255653006,276.7193479141,294.32876096318,311.93817401225,329.54758706133,349.67263054599,369.79767403066,392.4383479509,415.07902187114,440.23532622697,465.3916305828,493.06356537421,523.2511306012],"description":"Farey approximation to 12-tET with den=104"},"far12_65":{"frequencies":[261.6255653006,277.72560008833,293.82563487606,309.92566966379,330.05071314845,350.17575663311,370.30080011777,390.42584360243,414.57589578403,438.72594796562,466.90100884415,495.07606972267,523.2511306012],"description":"Farey approximation to 12-tET with den=65"},"far12_80":{"frequencies":[261.6255653006,277.97716313189,294.32876096318,310.68035879446,330.30227619201,349.92419358955,369.5461109871,392.4383479509,415.3305849147,441.49314144476,467.65569797482,493.81825450488,523.2511306012],"description":"Farey approximation to 12-tET with den=80"},"farey3":{"frequencies":[261.6255653006,313.95067836072,348.83408706747,392.4383479509,418.60090448096,523.2511306012],"description":"Farey fractions between 0 and 1 until 3rd level, normalised by 2/1"},"farey4":{"frequencies":[261.6255653006,299.00064605783,313.95067836072,327.03195662575,348.83408706747,373.75080757229,392.4383479509,418.60090448096,448.50096908674,523.2511306012],"description":"Farey fractions between 0 and 1 until 4th level, normalised by 2/1"},"farey5":{"frequencies":[261.6255653006,285.40970760065,290.69507255622,299.00064605783,305.22982618403,313.95067836072,322.00069575458,327.03195662575,332.97799220076,348.83408706747,366.27579142084,373.75080757229,380.54627680087,392.4383479509,402.50086969323,406.97310157871,418.60090448096,436.04260883433,448.50096908674,465.11211608996,523.2511306012],"description":"Farey fractions between 0 and 1 until 5th level, normalised by 2/1"},"farnsworth":{"frequencies":[261.6255653006,294.32876096318,327.03195662575,343.38355445704,392.4383479509,441.49314144476,490.54793493862,523.2511306012],"description":"Farnsworth's scale"},"fibo_9":{"frequencies":[261.6255653006,277.97716313189,327.03195662575,343.38355445704,363.82305174615,392.4383479509,425.14154361347,449.66894036041,523.2511306012],"description":"First 9 Fibonacci terms reduced by 2/1, B. McLaren, XH 13, 1991"},"finnamore":{"frequencies":[261.6255653006,277.97716313189,310.68035879446,348.83408706747,392.4383479509,416.96574469783,457.84473927605,466.02053819169,523.2511306012],"description":"David J. Finnamore, Tuning List 9 May '97. Tetrachordal scale, 17/16x19/17x64/57"},"finnamore53":{"frequencies":[261.6255653006,286.15296204753,310.68035879446,327.03195662575,343.38355445704,359.73515228832,367.91095120397,376.08675011961,392.4383479509,408.78994578219,416.96574469783,425.14154361347,433.31734252912,441.49314144476,457.84473927605,474.19633710734,523.2511306012],"description":"David J. Finnamore, tuning for \"Crawlspace\", 53-limit, 1998."},"finnamore_11":{"frequencies":[261.6255653006,287.78812183066,294.32876096318,305.22982618403,323.76163705949,331.11985608357,343.38355445704,348.83408706747,392.4383479509,431.68218274599,441.49314144476,457.84473927605,485.64245558924,515.07533168556,523.2511306012],"description":"David J. Finnamore, 11-limit scale, Tuning List 3 Sept '98"},"finnamore_7":{"frequencies":[261.6255653006,274.70684356563,294.32876096318,309.04519901133,331.11985608357,348.83408706747,366.27579142084,392.4383479509,412.06026534844,441.49314144476,463.567798517,496.67978412536,523.2511306012],"description":"David J. Finnamore, TL 1 Sept '98. 7-tone Pyth. with 9/8 div. in 21/20 &15/14"},"finnamore_7a":{"frequencies":[261.6255653006,280.31310567921,294.32876096318,315.35224388912,331.11985608357,348.83408706747,373.75080757229,392.4383479509,420.46965851882,441.49314144476,473.02836583367,496.67978412536,523.2511306012],"description":"David J. Finnamore, TL 1 Sept '98. 7-tone Pyth. with 9/8 div. in 15/14 &21/20"},"finnamore_jc":{"frequencies":[261.6255653006,276.16031892841,310.68035879446,348.83408706747,392.4383479509,414.24047839262,466.02053819169,523.2511306012],"description":"Chalmers' modification of Finnamore. Tuning List 9-5-97 19/18 x 9/8 x 64/57"},"fisher":{"frequencies":[261.6255653006,273.37431312998,292.50627485027,310.67535808973,327.03195662575,349.71841093413,365.63284485857,391.22147055517,410.55062036439,437.39890198442,467.47330218196,489.02683992698,523.2511306012],"description":"Alexander Metcalf Fisher's modified meantone temperament (1818)"},"fj-10tet":{"frequencies":[261.6255653006,280.31310567921,300.51585203447,322.00069575458,345.20039866051,370.01329949656,396.52624740872,425.14154361347,455.42228033808,488.36772189445,523.2511306012],"description":"Franck Jedrzejewski continued fractions approx. of 10-tet"},"fj-12tet":{"frequencies":[261.6255653006,277.19851561611,293.6613488068,311.12229387098,329.64821227876,348.83408706747,370.01329949656,391.99491478937,415.52295665389,440.00663255101,466.16918908107,490.54793493862,523.2511306012],"description":"Franck Jedrzejewski continued fractions approx. of 12-tet"},"fj-13tet":{"frequencies":[261.6255653006,275.96121271433,291.05844139692,306.97399661937,323.91736656265,341.56671025356,360.27127025001,379.97998769849,400.78810003496,422.62591317789,445.95266812602,41.6222490251,496.18641694941,523.2511306012],"description":"Franck Jedrzejewski continued fractions approx. of 13-tet"},"fj-14tet":{"frequencies":[261.6255653006,274.92856014639,288.87822835275,303.4856557487,318.85615771011,335.0643204727,352.18826098158,370.01329949656,388.70083987518,408.5030756448,429.33426100611,451.0785608631,473.88781639354,497.93252750759,523.2511306012],"description":"Franck Jedrzejewski continued fractions approx. of 14-tet"},"fj-15tet":{"frequencies":[261.6255653006,274.08392555301,286.94416839421,300.51585203447,314.76825825228,329.64821227876,345.20039866051,361.51896296083,378.66858135613,396.52624740872,415.52295665389,392.4383479509,455.42228033808,477.08191319521,499.46698830115,523.2511306012],"description":"Franck Jedrzejewski continued fractions approx. of 15-tet"},"fj-16tet":{"frequencies":[261.6255653006,273.25336820285,285.40970760065,297.96244937013,311.12229387098,324.92207303462,339.29565499922,354.2846196779,370.01329949656,386.4008349055,403.52417698906,421.50785520652,440.00663255101,459.44001711325,479.64686971777,500.9851250437,523.2511306012],"description":"Franck Jedrzejewski continued fractions approx. of 16-tet"},"fj-17tet":{"frequencies":[261.6255653006,272.52663052146,283.8915708581,295.75063903546,307.98958953109,320.70230585235,334.29933343966,348.03400888612,362.53828334512,373.75080757229,392.4383479509,409.71550792358,426.86276443782,444.76346101102,462.87600014722,482.37213602298,502.32108537715,523.2511306012],"description":"Franck Jedrzejewski continued fractions approx. of 17-tet"},"fj-18tet":{"frequencies":[261.6255653006,271.88539139082,282.55561052465,293.6613488068,305.22982618403,317.12189733406,329.64821227876,342.60490694126,355.98232655655,370.01329949656,384.51030051755,399.57359064092,415.52295665389,431.68218274599,448.50096908674,466.16918908107,484.4917875937,503.12608711654,523.2511306012],"description":"Franck Jedrzejewski continued fractions approx. of 18-tet"},"fj-19tet":{"frequencies":[261.6255653006,271.31540105247,281.44568388398,291.81313052759,302.73815413355,313.95067836072,325.69713231299,337.73482066077,350.31219760589,363.36884069528,376.74081403286,390.78248994267,405.26313056367,420.46965851882,436.04260883433,451.89870370104,468.95148497277,485.87604984397,504.56359022259,523.2511306012],"description":"Franck Jedrzejewski continued fractions approx. of 19-tet"},"fj-20tet":{"frequencies":[261.6255653006,270.8594087818,280.31310567921,290.29686012806,300.51585203447,311.12229387098,322.00069575458,333.44434793214,345.20039866051,357.34223553253,370.01329949656,383.09457776159,396.52624740872,410.48149038542,425.14154361347,440.00663255101,455.42228033808,470.92601754108,488.36772189445,505.41302387616,523.2511306012],"description":"Franck Jedrzejewski continued fractions approx. of 20-tet"},"fj-21tet":{"frequencies":[261.6255653006,270.34641747729,279.46367202564,288.87822835275,298.56093922539,308.58400009814,318.85615771011,329.64821227876,340.72166643799,352.18826098158,364.00078650518,376.08675011961,388.70083987518,401.78211814021,415.52295665389,429.33426100611,443.62595855319,457.84473927605,473.88781639354,489.85212226495,506.18859373377,523.2511306012],"description":"Franck Jedrzejewski continued fractions approx. of 21-tet"},"fj-22tet":{"frequencies":[261.6255653006,270.06509966514,278.68810216803,287.55242312318,296.76929795292,306.29334474217,316.13089140489,326.18252297218,336.37572681506,347.40443916965,358.52392281934,370.01329949656,381.83190611439,392.4383479509,392.4383479509,419.69101100305,433.03541842858,446.94367405519,461.28718092474,475.68284600109,491.34557385722,506.89953276991,523.2511306012],"description":"Franck Jedrzejewski continued fractions approx. of 22-tet"},"fj-23tet":{"frequencies":[261.6255653006,269.55361273395,277.97716313189,286.37392958579,295.1673044417,304.21577360535,313.47928094576,323.18452184192,332.97799220076,343.1154954762,353.6790049434,364.40703738298,375.66747838035,387.20583664489,398.97898708342,411.12588832951,423.58424858192,436.04260883433,449.99597231703,463.79077485106,477.96978276071,492.47165233054,507.86139146587,523.2511306012],"description":"Franck Jedrzejewski continued fractions approx. of 23-tet"},"fj-24tet":{"frequencies":[261.6255653006,269.32043486826,277.19851561611,285.40970760065,293.6613488068,302.32287545847,311.12229387098,320.2657782128,329.64821227876,339.29565499922,348.83408706747,348.83408706747,370.01329949656,380.54627680087,391.99491478937,403.52417698906,415.52295665389,427.53446036927,440.00663255101,452.81347840488,466.16918908107,479.64686971777,490.54793493862,508.30109829831,523.2511306012],"description":"Franck Jedrzejewski continued fractions approx. of 24-tet"},"fj-26tet":{"frequencies":[261.6255653006,268.69652652494,275.96121271433,283.42769574232,291.05844139692,299.00064605783,306.97399661937,315.29234792636,323.91736656265,332.57487114483,341.56671025356,350.8160989258,360.27127025001,370.01329949656,379.97998769849,390.22118214327,400.78810003496,411.12588832951,422.62591317789,434.18710837121,445.95266812602,457.84473927605,457.84473927605,483.00104363188,496.18641694941,509.48136400643,523.2511306012],"description":"Franck Jedrzejewski continued fractions approx. of 26-tet"},"fj-30tet":{"frequencies":[261.6255653006,267.70988077271,274.08392555301,280.31310567921,286.94416839421,293.6613488068,300.51585203447,307.52478728316,314.76825825228,322.00069575458,329.64821227876,337.35928157183,345.20039866051,353.19451315581,361.51896296083,370.01329949656,378.66858135613,387.59343007496,396.52624740872,405.78659107848,415.52295665389,425.14154361347,392.4383479509,444.76346101102,455.42228033808,466.16918908107,477.08191319521,488.36772189445,499.46698830115,511.35905945117,523.2511306012],"description":"Franck Jedrzejewski continued fractions approx. of 30-tet"},"fj-31tet":{"frequencies":[261.6255653006,267.57160087561,273.51763645063,279.79400733536,286.15296204753,292.60754013883,299.00064605783,305.96888145324,312.81317590289,319.76457981184,327.03195662575,334.53760808929,342.12573923925,349.884792149,357.81143489641,366.27579142084,373.75080757229,382.37582620857,391.25985441351,400.13321751856,409.20921752145,418.60090448096,428.11456140098,437.54620403721,447.51741432997,457.84473927605,467.90726101838,478.40103369253,489.12605686634,500.50108144463,511.62332769895,523.2511306012],"description":"Franck Jedrzejewski continued fractions approx. of 31-tet"},"fj-36tet":{"frequencies":[261.6255653006,266.75547834571,271.88539139082,277.19851561611,282.55561052465,288.08208313999,293.6613488068,299.00064605783,305.22982618403,311.12229387098,317.12189733406,323.18452184192,329.64821227876,327.03195662575,342.60490694126,348.83408706747,355.98232655655,362.89997767503,370.01329949656,377.22755927063,384.51030051755,391.99491478937,399.57359064092,406.97310157871,415.52295665389,423.35773294097,431.68218274599,440.00663255101,448.50096908674,436.04260883433,466.16918908107,475.19745534191,484.4917875937,490.54793493862,503.12608711654,513.18860885887,523.2511306012],"description":"Franck Jedrzejewski continued fractions approx. of 36-tet"},"fj-41tet":{"frequencies":[261.6255653006,266.05989691586,270.64713651786,275.21650375777,279.87851171692,284.71017400359,289.532292266,294.32876096318,299.49242343621,304.63250754179,309.81974838229,315.13988547572,320.49131749323,325.95972070239,331.39238271409,337.09447836808,342.81970625596,348.83408706747,354.64798851859,360.72615821749,366.27579142084,373.13810133036,379.35706968587,386.00493241072,392.4383479509,399.32323124828,405.97070477679,413.09299784305,419.97788114044,427.14378008261,434.48531380278,441.85651028546,449.45930449077,436.04260883433,465.11211608996,472.93852188955,480.82536325516,489.12605686634,497.08857407114,505.80942624783,514.53027842451,523.2511306012],"description":"Franck Jedrzejewski continued fractions approx. of 41-tet"},"fj-42tet":{"frequencies":[261.6255653006,265.98599138894,270.34641747729,274.92856014639,279.46367202564,284.05061375494,288.87822835275,293.6613488068,298.56093922539,303.4856557487,308.58400009814,313.7026920429,318.85615771011,324.18820048118,329.64821227876,335.0643204727,340.72166643799,346.37750898953,352.18826098158,358.01393146398,364.00078650518,370.01329949656,376.08675011961,382.37582620857,388.70083987518,395.22159864559,401.78211814021,408.5030756448,415.52295665389,422.16852582597,429.33426100611,436.04260883433,443.62595855319,451.0785608631,457.84473927605,466.16918908107,473.88781639354,481.94183081689,489.85212226495,497.93252750759,506.18859373377,514.81159623666,523.2511306012],"description":"Franck Jedrzejewski continued fractions approx. of 42-tet"},"fj-43tet":{"frequencies":[261.6255653006,265.84533248287,270.2034526875,274.70684356563,279.06726965397,283.42769574232,288.1672893166,292.86443876933,297.71185016965,302.50455987882,307.4100392282,312.38873468728,317.43901923139,322.67153053741,327.85988562987,332.97799220076,338.57426097725,344.24416486921,348.83408706747,355.41586229515,361.11697745717,367.05676325756,372.95559308809,379.09010482332,385.17097113699,391.45479319413,397.88888056133,404.33041910093,392.4383479509,417.48760420309,424.25767346043,431.1976909584,438.2228218785,445.32011114996,452.54151835779,459.82675113439,467.18850946536,475.05694751951,483.00104363188,490.54793493862,498.33441009638,506.89953276991,514.81159623666,523.2511306012],"description":"Franck Jedrzejewski continued fractions approx. of 43-tet"},"fj-53tet":{"frequencies":[261.6255653006,265.06800694929,268.51044859798,272.09058791262,275.69145590816,279.30296836145,282.98275430473,286.71294827463,290.48132617934,294.32876096318,298.13145813324,302.11523612093,306.05254808749,310.07474405997,313.95067836072,318.31110444906,322.46872002167,326.7649917632,331.03642956402,335.41739141103,336.37572681506,344.24416486921,348.83408706747,353.42400926572,358.01393146398,362.89997767503,367.52162744608,372.31330446624,377.3445653374,382.37582620857,387.20583664489,392.4383479509,397.67085925691,402.82031482791,408.13588186894,413.53718386224,418.60090448096,424.41480593208,429.81342870813,436.04260883433,441.49314144476,447.29532132038,453.1728541814,459.07882213124,465.11211608996,470.92601754108,477.46665667359,483.76047923507,485.87604984397,496.55464434604,503.12608711654,509.83443494476,516.36624730382,523.2511306012],"description":"Franck Jedrzejewski continued fractions approx. of 53-tet"},"fj-54tet":{"frequencies":[261.6255653006,265.02329991489,268.42103452919,271.88539139082,275.39533189537,279.06726965397,282.55561052465,286.15296204753,289.90941019796,293.6613488068,297.46468383493,301.26580246736,305.22982618403,309.19384990071,313.15787361738,317.12189733406,321.29455387793,325.43667878855,329.64821227876,333.91683992313,338.19890148614,342.60490694126,346.93824963775,351.55935337268,355.98232655655,360.61902244137,365.28852513669,370.01329949656,374.76094489005,379.61356533813,384.51030051755,389.53139722534,394.5147413263,399.57359064092,404.77917650282,409.88005230427,415.52295665389,420.652869699,426.07592063241,431.68218274599,436.04260883433,442.75095666255,448.50096908674,454.40229762736,460.26719821402,466.16918908107,472.20223981084,478.40103369253,484.4917875937,490.54793493862,497.08857407114,503.12608711654,510.16985233617,516.54278277298,523.2511306012],"description":"Franck Jedrzejewski continued fractions approx. of 54-tet"},"fj-55tet":{"frequencies":[261.6255653006,264.93728131706,268.33391312882,271.68808704293,275.15792212649,278.68810216803,282.14521748104,285.77561748219,289.37373131733,293.02063313667,296.76929795292,300.51585203447,304.33994330886,308.21641939523,312.11470948142,316.13089140489,319.76457981184,324.10331223806,328.22116374075,332.33517754401,336.37572681506,340.90603963412,345.20039866051,348.83408706747,353.96400011258,358.52392281934,363.07221307022,367.68998366571,372.31330446624,377.04860881557,381.83190611439,386.75083566176,391.58336244338,396.52624740872,401.56482115906,406.65712867376,411.81801945465,416.96574469783,418.60090448096,427.65717404906,433.03541842858,438.60756535689,444.15502946381,449.8123754291,455.42228033808,461.28718092474,467.18850946536,472.93852188955,479.03272519828,485.0974023282,491.34557385722,497.60156537565,503.87145909745,510.16985233617,516.71049146868,523.2511306012],"description":"Franck Jedrzejewski continued fractions approx. of 55-tet"},"fj-5tet":{"frequencies":[261.6255653006,300.51585203447,345.20039866051,396.52624740872,455.42228033808,523.2511306012],"description":"Franck Jedrzejewski continued fractions approx. of 5-tet"},"fj-60tet":{"frequencies":[261.6255653006,264.66772303665,267.70988077271,270.8594087818,274.08392555301,277.19851561611,280.31310567921,283.6903720127,286.94416839421,290.29686012806,293.6613488068,297.10021822272,300.51585203447,304.05133264664,307.52478728316,311.12229387098,314.76825825228,318.50068819203,322.00069575458,325.79787377056,329.64821227876,333.44434793214,337.35928157183,341.25073734861,345.20039866051,348.83408706747,353.19451315581,357.34223553253,361.51896296083,365.74186169574,370.01329949656,374.3258088147,378.66858135613,383.09457776159,387.59343007496,391.99491478937,396.52624740872,401.15920012759,405.78659107848,410.48149038542,415.52295665389,420.18651396763,425.14154361347,429.81342870813,434.91003062957,440.00663255101,444.76346101102,450.23934493592,455.42228033808,460.95932933915,466.16918908107,470.92601754108,477.08191319521,482.55382044333,488.36772189445,490.54793493862,499.46698830115,505.41302387616,511.35905945117,517.30509502619,523.2511306012],"description":"Franck Jedrzejewski continued fractions approx. of 60-tet"},"fj-66tet":{"frequencies":[261.6255653006,264.37951861955,267.19206668997,270.06509966514,272.83808952777,275.76748774928,278.68810216803,281.58005756929,284.57517629188,287.55242312318,290.69507255622,293.6613488068,296.76929795292,299.91223339337,302.93486508491,306.29334474217,309.48390041656,312.81317590289,316.13089140489,319.38705374359,322.78478835788,326.18252297218,329.64821227876,332.97799220076,336.37572681506,340.11323489078,343.8507429665,347.40443916965,351.12904816659,354.74652922115,358.52392281934,362.25078272391,366.27579142084,370.01329949656,373.75080757229,377.90359432309,381.83190611439,385.89770881839,389.97018224052,392.4383479509,398.12586024004,402.50086969323,406.65712867376,411.12588832951,415.52295665389,419.69101100305,424.01384721132,428.62060698183,433.03541842858,437.71969579139,442.27178896054,446.94367405519,451.89870370104,456.45311392871,461.28718092474,466.16918908107,470.92601754108,475.68284600109,481.05345877852,485.87604984397,491.34557385722,496.41773928832,501.44900015948,506.89953276991,512.35006538034,517.80059799077,523.2511306012],"description":"Franck Jedrzejewski continued fractions approx. of 66-tet"},"fj-72tet":{"frequencies":[195.99771799087,197.9006084568,199.84081050049,201.76235675531,203.68390301012,205.67661764474,207.66424882366,209.67197738558,211.67753543014,213.81569235368,215.817711945,217.77524221208,219.99743856118,222.13074705632,223.99739198957,226.48625190056,228.66400432268,230.8417567448,233.07836734049,235.19726158904,237.57299150408,239.92824098882,242.11482810637,244.5635242187,246.9571246685,249.45164107929,251.74018824515,254.18454051941,256.66367832138,259.11562717437,261.33029065449,264.17083729204,266.68541956135,269.28382123963,271.86780237443,274.39680518722,277.19677258709,279.99673998696,282.60136082405,285.0875898049,288.0572521987,290.83532347032,293.66437746429,296.5093682426,299.34196929515,302.30156503677,304.88533909691,307.99641398565,311.29049327962,313.59634878539,317.15994365795,320.28895378996,323.39623468494,326.46784071315,329.63252571192,332.8263135694,335.99608798435,339.22681959958,342.55457018224,345.87832586624,349.232297511,352.79589238357,355.99585512627,359.32914964993,362.95873702013,366.4305162438,367.49572123288,373.6206499201,376.91868844398,380.79556638226,384.45706221286,388.2262490973,391.99543598174],"description":"Franck Jedrzejewski continued fractions approx. of 72-tet"},"fj-78tet":{"frequencies":[138.59131548844,139.82873794816,141.06616040788,142.33702671786,143.60064014465,144.89092073791,146.18536017274,147.4753741736,148.781853392,150.14059177914,151.48353088271,152.80580938469,154.18283848089,155.56168065029,156.95883922787,158.39007484393,159.76498868806,161.21846903757,162.6138101731,164.12129465736,165.53962683341,167.02030328094,168.55700532378,170.00534699915,171.58924774759,173.06676710248,174.62505751543,176.17540104463,177.75842638735,179.35346710269,180.93866188769,182.53490332624,184.15558359423,185.8383548595,187.50589742554,188.98815748424,190.84705739392,192.48793817839,194.02784168382,196.00771761937,197.74614527009,199.57149430335,201.28738678083,203.10796235375,204.87411854813,206.71247055903,207.88697323266,210.45347907504,212.31010032272,214.18657848213,216.10849194808,217.78635291041,220.11561871693,221.7461047815,223.87827886594,225.96410133985,228.00506741647,230.00260868294,232.05987709692,234.17153306667,236.2351968553,238.37706264012,240.41350645954,242.53480210477,244.7463656498,246.9445257794,249.1343885566,251.39820018833,253.59261982991,255.8608901325,258.1602935569,260.55167311827,262.84559834014,265.13121223875,267.51346943117,269.88835121433,272.23294113801,274.70778605744,277.18263097688],"description":"Franck Jedrzejewski continued fractions approx. of 78-tet"},"fj-7tet":{"frequencies":[261.6255653006,288.87822835275,318.85615771011,352.18826098158,388.70083987518,429.33426100611,473.88781639354,523.2511306012],"description":"Franck Jedrzejewski continued fractions approx. of 7-tet"},"fj-84tet":{"frequencies":[97.99885899544,98.81551615374,99.63217331203,100.44883047033,101.26548762862,102.12512674262,102.98185182572,103.83212441184,104.68059938149,105.53723276432,106.39876119505,107.33208366167,108.20707347413,109.09306944775,109.9987192806,110.89344570537,111.83399203009,112.76581035092,113.67867643471,114.64017467391,115.58839778949,116.53918367025,117.50574088079,118.47623251688,119.43610940069,120.45693084856,121.43336875522,122.4985737443,123.47856233425,124.48503710232,125.50731064328,126.58185953578,127.62642101732,128.62350243151,129.74496824748,130.66514532725,131.9215409554,132.99845149381,134.10370178323,135.17083999371,136.34623860235,137.19840259362,138.59838629355,139.73911375276,140.87335980595,142.09834554339,143.22910160872,144.41937115117,145.59830479323,146.83218873215,148.0408295463,149.25980062382,150.498247743,151.74016876713,153.01576229113,154.29607586516,155.64524663982,156.7981743927,158.13452246991,159.45577056885,160.81864040277,162.07503603092,163.33143165907,164.81626285597,166.17197829662,167.54643634704,168.96354999214,170.33135015874,171.49800324202,173.20728566636,174.61614875551,176.03498745477,177.50736723702,178.95443816559,180.52421393897,181.99788099153,183.48722535316,183.74786061645,186.51395744293,188.05186455882,189.60648805639,191.21728584476,192.8364644749,194.36440367429,195.99771799088],"description":"Franck Jedrzejewski continued fractions approx. of 84-tet"},"fj-8tet":{"frequencies":[261.6255653006,285.40970760065,311.12229387098,339.29565499922,370.01329949656,403.52417698906,440.00663255101,479.64686971777,523.2511306012],"description":"Franck Jedrzejewski continued fractions approx. of 8-tet"},"fj-90tet":{"frequencies":[69.29565774422,69.83283338565,70.37840239647,70.9071846685,71.46114704873,72.0131345185,72.59545097014,73.14541650779,73.69538204544,74.24534758309,74.83931036376,75.40998048636,76.00168913882,76.58993750677,77.19009976571,77.78084032514,78.38361285822,78.99704982841,79.59636362512,80.23707738804,80.84493403492,81.4527906818,82.08870225085,82.70772053342,83.37133822351,83.99473665966,84.69469279849,85.2869633775,85.97794571968,86.61957218027,87.31252875772,87.95218098305,88.65767976099,89.35492709123,90.08435506749,90.74431371267,91.43177063473,92.14038007748,92.85618137725,93.5491379547,94.28753430771,95.03404490636,95.75399979201,96.51895185802,97.25706350066,98.00385880968,98.74631228551,99.50145727375,100.29634673506,101.05616754365,101.84361819984,102.66023369514,103.42635484212,103.94348661633,105.02623126858,105.83336819117,106.60870422188,107.47897935838,108.27446522534,109.14066094715,110.05780935847,110.87305239075,111.72157064884,112.60544383436,113.39289449054,114.33783527796,115.19278170468,116.11704811194,116.93642244337,117.80261816517,118.79255613295,119.69249974002,120.62577459179,121.5942673625,122.52275717094,123.4722628897,124.41720367712,125.39214258478,126.36267000417,127.35418180019,128.32529211893,129.35189445588,130.27583655913,131.29703572589,132.29171023897,133.26088027735,134.39157865546,135.4415128637,136.49144707195,137.52522844622,138.59131548844],"description":"Franck Jedrzejewski continued fractions approx. of 90-tet"},"fj-96tet":{"frequencies":[48.99942949772,49.35708956705,49.70956615711,50.0646344868,50.44058918883,50.81422318282,51.17718191984,51.5338827476,51.91606220592,52.2660581309,52.67438671005,53.04896912563,53.45392308842,53.81904551389,54.21213476343,54.59936429746,54.9993596403,55.39065943221,55.80490581685,56.20522795327,56.62156297514,57.01751796098,57.44760699733,57.85474808165,58.26959183513,58.69162434342,59.11042288614,59.54361052887,59.98206024721,60.41025554513,60.85413018265,61.24928687215,61.73928116713,62.19158359326,62.61038213598,63.09515579158,63.54613512986,63.99925485416,64.47293354963,64.92424408448,65.33257266363,65.89578449693,66.3533941115,66.81740386053,67.32095530991,67.84536391992,68.30223505743,68.78766064103,69.29919314678,69.78706625433,70.30352927934,70.77695371893,71.27189745123,71.86582992999,72.36838818125,72.90159022832,73.41609436608,73.94459360565,74.47913283653,75.03037641838,75.5753912592,76.10549687944,76.66039776256,77.21122223883,77.82262331991,78.34524166943,78.94352530188,79.48796340741,80.07223844749,80.64489438166,81.23589627254,81.66571582953,82.40813142798,82.999033639,83.58726208435,84.21776944921,84.8067048999,85.43490271397,86.04777863014,86.69129834212,87.30807437776,87.94769397027,88.57589178434,89.20408959841,89.83228741249,90.46048522656,91.16172929808,91.87393030822,92.49330511929,93.09891604567,93.82869478287,94.4988997456,95.19889159557,95.91377688915,96.59887529551,97.28872233605,97.99885899544],"description":"Franck Jedrzejewski continued fractions approx. of 96-tet"},"fj-9tet":{"frequencies":[261.6255653006,282.55561052465,305.22982618403,329.64821227876,355.98232655655,384.51030051755,415.52295665389,448.50096908674,484.4917875937,523.2511306012],"description":"Franck Jedrzejewski continued fractions approx. of 9-tet"},"flavel":{"frequencies":[261.6255653006,272.52663052146,290.69507255622,294.32876096318,327.03195662575,348.83408706747,363.36884069528,392.4383479509,408.78994578219,436.04260883433,465.11211608996,490.54793493862,523.2511306012],"description":"Bill Flavel's just tuning. Tuning List 6-5-98"},"fogliano":{"frequencies":[261.6255653006,272.52663052146,290.69507255622,294.32876096318,313.95067836072,327.03195662575,348.83408706747,363.36884069528,392.4383479509,408.78994578219,436.04260883433,465.11211608996,470.92601754108,490.54793493862,523.2511306012],"description":"Fogliano's Monochord with D-/D and Bb-/Bb"},"fogliano1":{"frequencies":[261.6255653006,272.52663052146,290.69507255622,313.95067836072,327.03195662575,348.83408706747,363.36884069528,392.4383479509,408.78994578219,436.04260883433,465.11211608996,490.54793493862,523.2511306012],"description":"Fogliano's Monochord no.1, Musica theorica (1529)"},"fogliano2":{"frequencies":[261.6255653006,272.52663052146,294.32876096318,313.95067836072,327.03195662575,348.83408706747,363.36884069528,392.4383479509,408.78994578219,436.04260883433,470.92601754108,490.54793493862,523.2511306012],"description":"Fogliano's Monochord no.2"},"fokker-h":{"frequencies":[261.6255653006,272.52663052146,279.06726965397,290.69507255622,306.59245933664,313.95067836072,327.03195662575,334.88072358477,348.83408706747,363.36884069528,376.74081403286,392.4383479509,408.78994578219,418.60090448096,436.04260883433,446.50763144636,470.92601754108,490.54793493862,502.32108537715,523.2511306012],"description":"Fokker-H 5-limit per.bl. synt.comma&small diesis, KNAW B71, 1968"},"fokker-ht":{"frequencies":[261.6255653006,272.31140503734,279.67242998298,290.89121260742,305.67073265504,313.92185180985,326.66733279836,335.5942968927,349.22294231864,363.36596605244,376.74379448613,392.00137290182,407.92073675044,419.068143928,436.08264938702,447.85404100892,470.60848490625,489.4864783277,502.71810253025,523.2511306012],"description":"Tempered version of Fokker-H per.bl. with better 6 tetrads, OdC"},"fokker-k":{"frequencies":[261.6255653006,272.52663052146,282.55561052465,290.69507255622,302.80736724606,313.95067836072,327.03195662575,339.06673262958,348.83408706747,363.36884069528,376.74081403286,392.4383479509,403.74315632809,418.60090448096,436.04260883433,452.08897683944,470.92601754108,484.4917875937,502.32108537715,523.2511306012],"description":"Fokker-K 5-limit per.bl. of 225/224 & 81/80 & 10976/10935, KNAW B71, 1968"},"fokker-l":{"frequencies":[261.6255653006,271.31540105247,282.62020942966,291.99281841585,301.39265122629,313.95067836072,325.57848126297,339.14425131559,350.39138209902,363.36884069528,376.74081403286,390.69417751556,403.65087217807,420.46965851882,436.04260883433,454.2110508691,468.83301301868,484.38104661368,504.56359022259,523.2511306012],"description":"Fokker-L 7-limit periodicity block 10976/10935 & 225/224 & 15625/15552, 1969"},"fokker-lt":{"frequencies":[261.6255653006,272.07297743248,282.57734531132,291.77233860052,302.20925621315,313.90139500947,326.42149564976,339.58797317787,349.9403315901,363.14714144228,376.97081214523,391.19775936204,403.12344267272,419.38375585596,436.11106867998,452.98371913917,469.18728997524,484.4545223075,503.15865298196,523.2511306012],"description":"Tempered version of Fokker-L per.bl. with more triads"},"fokker-m":{"frequencies":[261.6255653006,265.7783520514,274.70684356563,279.06726965397,286.15296204753,294.32876096318,299.00064605783,305.22982618403,313.95067836072,318.93402246168,327.03195662575,336.37572681506,343.38355445704,348.83408706747,358.80077526939,366.27579142084,373.75080757229,381.53728273004,392.4383479509,398.6675280771,406.97310157871,418.60090448096,429.2294430713,436.04260883433,448.50096908674,457.84473927605,465.11211608996,478.40103369253,490.54793493862,498.33441009638,515.07533168556,523.2511306012],"description":"Fokker-M 7-limit periodicity block 81/80 & 225/224 & 1029/1024, KNAW B72, 1969"},"fokker-n":{"frequencies":[261.6255653006,265.7783520514,273.37201925287,277.71125765371,286.15296204753,290.69507255622,299.00064605783,303.74668805875,313.95067836072,318.93402246168,328.62879235146,333.84512238879,343.38355445704,348.83408706747,358.80077526939,364.4960256705,375.57576268738,381.53728273004,392.4383479509,398.6675280771,410.05802887931,416.56688648057,429.2294430713,436.04260883433,450.69091522486,457.84473927605,470.92601754108,478.40103369253,492.94318852719,500.76768358318,515.07533168556,523.2511306012],"description":"Fokker-N 7-limit periodicity block 81/80 & 2100875/2097152 & 1029/1024, 1969"},"fokker-n2":{"frequencies":[261.6255653006,265.7783520514,272.52663052146,279.06726965397,286.15296204753,290.69507255622,299.00064605783,305.22982618403,313.95067836072,318.93402246168,327.03195662575,334.88072358477,343.38355445704,348.83408706747,358.80077526939,366.27579142084,373.75080757229,381.53728273004,392.4383479509,398.6675280771,408.78994578219,418.60090448096,429.2294430713,436.04260883433,448.50096908674,457.84473927605,470.92601754108,478.40103369253,490.54793493862,502.32108537715,515.07533168556,523.2511306012],"description":"Fokker-N different block shape"},"fokker-p":{"frequencies":[261.6255653006,267.90457886781,273.37201925287,280.31310567921,286.15296204753,290.69507255622,299.00064605783,306.17666156322,312.97980223949,320.35783506196,327.03195662575,334.88072358477,341.85740532612,350.39138209902,357.69120255941,366.27579142084,373.75080757229,382.72082695402,390.69417751556,400.44729382745,408.78994578219,418.60090448096,427.32175665765,437.39523080459,447.11400319927,457.84473927605,470.92601754108,478.40103369253,488.36772189445,500.76768358318,510.98743222773,523.2511306012],"description":"Fokker-P 7-limit periodicity block 65625/65536 & 6144/6125 & 2401/2400, 1969"},"fokker-q":{"frequencies":[261.6255653006,265.7783520514,269.10058145205,272.52663052146,274.70684356563,279.06726965397,284.76252005507,286.15296204753,290.69507255622,294.32876096318,299.00064605783,301.39265122629,305.22982618403,311.45900631024,313.95067836072,318.93402246168,321.92208230347,327.03195662575,332.22294006425,334.88072358477,340.65828815182,343.38355445704,348.83408706747,353.19451315581,358.80077526939,363.36884069528,366.27579142084,373.75080757229,376.74081403286,381.53728273004,387.59343007496,392.4383479509,398.6675280771,401.85686830172,408.78994578219,412.06026534844,418.60090448096,425.24536328225,429.2294430713,436.04260883433,439.53094970501,448.50096908674,454.2110508691,457.84473927605,465.11211608996,470.92601754108,478.40103369253,480.73697623985,490.54793493862,498.33441009638,502.32108537715,508.71637697339,515.07533168556,523.2511306012],"description":"Fokker-Q 7-limit per.bl. 225/224 & 4000/3969 & 6144/6125, KNAW B72, 1969"},"fokker-r":{"frequencies":[261.6255653006,264.95644634031,268.26840191956,272.52663052146,275.55899540689,279.06726965397,282.62020942966,287.04062021552,290.69507255622,294.32876096318,298.07600213285,301.80195215951,306.17666156322,310.07474405997,313.95067836072,317.94773560837,322.92069774245,327.03195662575,331.19555792538,334.88072358477,340.1962906258,344.44874425862,348.83408706747,353.19451315581,357.69120255941,363.36884069528,367.91095120397,372.08969287196,376.74081403286,382.72082695402,387.59343007496,392.4383479509,397.43466951046,402.40260287934,408.78994578219,413.33849311034,418.60090448096,423.93031414449,430.56093032327,436.04260883433,441.49314144476,447.11400319927,453.59505416773,459.26499234482,465.11211608996,470.92601754108,476.92160341255,484.38104661368,490.54793493862,496.79333688808,502.32108537715,510.29443593869,516.67311638793,523.2511306012],"description":"Fokker-R 7-limit per.bl. 4375/4374 & 65625/65536 & 6144/6125, 1969"},"fokker-s":{"frequencies":[261.6255653006,265.7783520514,269.10058145205,273.37201925287,273.85732695955,278.20426865732,282.55561052465,286.15296204753,290.69507255622,295.2417807931,299.00064605783,303.74668805875,304.28591884395,309.04519901133,313.95067836072,317.94773560837,322.92069774245,328.04642310345,332.22294006425,333.84512238879,338.01818641865,343.38355445704,348.83408706747,353.19451315581,358.80077526939,364.4960256705,369.13660007139,370.8542388136,375.57576268738,381.53728273004,387.59343007496,392.4383479509,398.6675280771,404.99558407833,410.05802887931,412.06026534844,417.30640298598,423.93031414449,430.56093032327,436.04260883433,442.96392008567,449.89223739901,450.69091522486,457.84473927605,463.67378109554,470.92601754108,478.40103369253,484.4917875937,492.06963465517,499.88026377668,500.76768358318,508.71637697339,515.07533168556,523.2511306012],"description":"Fokker-S 7-limit per.bl. 4375/4374 & 323/322 & 64827/65536, 1969"},"fokker_12":{"frequencies":[261.6255653006,280.31310567921,294.32876096318,305.22982618403,327.03195662575,348.83408706747,367.91095120397,392.4383479509,420.46965851882,436.04260883433,457.84473927605,490.54793493862,523.2511306012],"description":"Fokker's 7-limit 12-tone just scale"},"fokker_12a":{"frequencies":[261.6255653006,274.70684356563,293.02063313667,309.04519901133,327.03195662575,348.83408706747,367.91095120397,390.69417751556,412.06026534844,439.53094970501,465.11211608996,490.54793493862,523.2511306012],"description":"Fokker's 7-limit periodicity block of 2048/2025 & 3969/4000 & 225/224"},"fokker_12b":{"frequencies":[261.6255653006,275.93321340298,293.02063313667,309.04519901133,332.22294006425,348.83408706747,367.91095120397,392.4383479509,412.06026534844,439.53094970501,467.18850946536,496.11959049595,523.2511306012],"description":"Fokker's 7-limit semitone scale KNAW B72, 1969"},"fokker_12c":{"frequencies":[261.6255653006,275.93321340298,293.02063313667,311.45900631024,332.22294006425,348.83408706747,372.08969287196,392.4383479509,412.06026534844,442.96392008567,467.18850946536,496.11959049595,523.2511306012],"description":"Fokker's 7-limit complementary semitone scale, KNAW B72, 1969"},"fokker_12t":{"frequencies":[261.6255653006,279.53180800295,293.53544531438,305.4439412874,326.66157401657,349.08351368992,366.63408494061,391.81886165309,419.06057467847,436.03416050506,457.88164994338,489.21957814041,523.2511306012],"description":"Tempered version of fokker_12 with egalised 225/224, see also lumma"},"fokker_12t2":{"frequencies":[261.6255653006,279.53060025556,293.5302824794,305.44678713816,326.66192308793,349.10467831311,366.62831408589,391.81689264402,419.03095498017,436.04260883433,457.88067400285,489.21694446174,523.2511306012],"description":"Another tempered version of fokker_12 with egalised 225/224"},"fokker_22":{"frequencies":[261.6255653006,272.52663052146,279.06726965397,287.4304306281,294.32876096318,306.59245933664,313.95067836072,327.03195662575,334.88072358477,348.83408706747,353.19451315581,367.91095120397,383.2405741708,392.4383479509,408.78994578219,418.60090448096,436.04260883433,446.50763144636,459.88868900496,470.92601754108,490.54793493862,502.32108537715,523.2511306012],"description":"Fokker's 22-tone periodicity block of 2048/2025 & 3125/3072. KNAW B71, 1968"},"fokker_22a":{"frequencies":[261.6255653006,269.46602871384,279.06726965397,287.4304306281,297.67175429757,306.59245933664,313.95067836072,327.03195662575,334.88072358477,348.83408706747,357.20610515709,367.91095120397,383.2405741708,392.4383479509,408.78994578219,418.60090448096,431.14564594215,446.50763144636,459.88868900496,476.27480687611,490.54793493862,502.32108537715,523.2511306012],"description":"Fokker's 22-tone periodicity block of 2048/2025 & 2109375/2097152 = semicomma"},"fokker_31":{"frequencies":[261.6255653006,265.7783520514,275.93321340298,280.31310567921,286.15296204753,294.32876096318,299.00064605783,305.22982618403,315.35224388912,321.92208230347,327.03195662575,336.37572681506,343.38355445704,348.83408706747,357.69120255941,367.91095120397,373.75080757229,381.53728273004,392.4383479509,398.6675280771,406.97310157871,420.46965851882,429.2294430713,436.04260883433,448.50096908674,457.84473927605,465.11211608996,482.88312345521,490.54793493862,498.33441009638,515.07533168556,523.2511306012],"description":"Fokker's 31-tone just system"},"fokker_31a":{"frequencies":[261.6255653006,269.10058145205,272.52663052146,280.31310567921,286.15296204753,294.32876096318,299.00064605783,305.22982618403,311.45900631024,321.92208230347,327.03195662575,336.37572681506,343.38355445704,348.83408706747,357.69120255941,367.91095120397,373.75080757229,381.53728273004,392.4383479509,398.6675280771,412.06026534844,420.46965851882,429.2294430713,436.04260883433,448.50096908674,457.84473927605,470.92601754108,476.92160341255,490.54793493862,498.33441009638,515.07533168556,523.2511306012],"description":"Fokker's 31-tone first alternate septimal tuning"},"fokker_31b":{"frequencies":[261.6255653006,267.07609791103,274.70684356563,280.31310567921,286.15296204753,294.32876096318,299.00064605783,305.22982618403,313.95067836072,321.92208230347,327.03195662575,336.37572681506,343.38355445704,348.83408706747,357.69120255941,367.91095120397,373.75080757229,381.53728273004,392.4383479509,398.6675280771,408.78994578219,420.46965851882,429.2294430713,436.04260883433,448.50096908674,457.84473927605,467.18850946536,480.53675259294,490.54793493862,498.33441009638,515.07533168556,523.2511306012],"description":"Fokker's 31-tone second alternate septimal tuning"},"fokker_31c":{"frequencies":[261.6255653006,269.46602871384,272.52663052146,279.06726965397,287.4304306281,294.32876096318,297.67175429757,306.59245933664,313.95067836072,319.36714514233,327.03195662575,334.88072358477,344.91651675372,348.83408706747,359.28803828513,367.91095120397,372.08969287196,383.2405741708,392.4383479509,396.89567239676,408.78994578219,418.60090448096,431.14564594215,436.04260883433,446.50763144636,459.88868900496,465.11211608996,479.0507177135,490.54793493862,502.32108537715,510.98743222773,523.2511306012],"description":"Fokker's 31-tone periodicity block of 81/80 & 2109375/2097152 = semicomma"},"fokker_31d":{"frequencies":[261.6255653006,266.13928761861,272.52663052146,279.06726965397,287.4304306281,294.32876096318,299.40669857094,306.59245933664,313.95067836072,319.36714514233,327.03195662575,334.88072358477,340.65828815182,348.83408706747,359.28803828513,367.91095120397,376.74081403286,383.2405741708,392.4383479509,399.20893142792,408.78994578219,418.60090448096,425.82286018978,436.04260883433,443.56547936435,459.88868900496,470.92601754108,479.0507177135,490.54793493862,502.32108537715,510.98743222773,523.2511306012],"description":"Fokker's 31-tone periodicity block of 81/80 & W�rschmidt's comma"},"fokker_31d2":{"frequencies":[261.6255653006,267.90457886781,272.52663052146,279.06726965397,283.88190679319,290.69507255622,301.39265122629,306.59245933664,313.95067836072,319.36714514233,327.03195662575,334.88072358477,340.65828815182,348.83408706747,357.20610515709,363.36884069528,376.74081403286,383.2405741708,392.4383479509,401.85686830172,408.78994578219,418.60090448096,425.82286018978,436.04260883433,446.50763144636,454.2110508691,465.11211608996,482.22824196207,490.54793493862,502.32108537715,510.98743222773,523.2511306012],"description":"Reduced version of fokker_31d by Prooijen expressibility"},"fokker_41":{"frequencies":[261.6255653006,264.89588486686,271.31540105247,274.70684356563,280.31310567921,283.8170195002,290.69507255622,294.32876096318,300.33547037059,305.22982618403,311.45900631024,313.95067836072,321.55899383997,325.57848126297,329.64821227876,336.37572681506,341.85740532612,348.83408706747,353.19451315581,361.75386806997,366.27579142084,373.75080757229,378.42269266694,387.59343007496,392.4383479509,400.44729382745,406.97310157871,415.27867508032,420.46965851882,425.72552925031,436.04260883433,439.53094970501,448.50096908674,455.80987376816,465.11211608996,470.92601754108,482.33849075995,488.36772189445,498.33441009638,504.56359022259,516.79124009995,523.2511306012],"description":"Fokker's 7-limit supracomma per.bl. 10976/10935 & 225/224 & 496125/262144"},"fokker_41a":{"frequencies":[261.6255653006,264.59711493117,272.83435407277,275.93321340298,279.06726965397,287.4304306281,291.02331101095,294.32876096318,297.67175429757,306.59245933664,310.42486507835,313.95067836072,323.35923445661,327.03195662575,331.11985608357,334.88072358477,344.91651675372,348.83408706747,353.19451315581,363.77913876369,367.91095120397,372.08969287196,376.315896791,388.03108134794,392.4383479509,396.89567239676,408.78994578219,413.89982010446,418.60090448096,431.14564594215,436.04260883433,441.49314144476,446.50763144636,459.88868900496,465.11211608996,470.92601754108,485.03885168492,490.54793493862,496.11959049595,502.32108537715,517.37477513058,523.2511306012],"description":"Fokker's 41-tone periodicity block of schisma & 34171875/33554432"},"fokker_41b":{"frequencies":[261.6255653006,264.89588486686,272.52663052146,275.93321340298,279.06726965397,287.4304306281,290.69507255622,294.32876096318,297.67175429757,306.59245933664,310.42486507835,313.95067836072,323.35923445661,327.03195662575,331.11985608357,340.65828815182,344.91651675372,348.83408706747,353.19451315581,363.36884069528,367.91095120397,372.08969287196,383.2405741708,388.03108134794,392.4383479509,397.34382730029,408.78994578219,413.89982010446,418.60090448096,431.14564594215,436.04260883433,441.49314144476,454.2110508691,459.88868900496,465.11211608996,470.92601754108,485.03885168492,490.54793493862,496.67978412536,510.98743222773,517.37477513058,523.2511306012],"description":"Fokker's 41-tone periodicity block of schisma & 3125/3072"},"fokker_53":{"frequencies":[261.6255653006,263.718569823,268.26840191956,272.52663052146,274.70684356563,279.06726965397,282.55561052465,286.15296204753,290.69507255622,294.32876096318,299.00064605783,300.46061014991,305.22982618403,309.04519901133,313.95067836072,317.87506184023,321.92208230347,327.03195662575,329.64821227876,334.88072358477,340.65828815182,343.38355445704,348.83408706747,353.19451315581,357.69120255941,360.55273217989,366.27579142084,373.75080757229,376.74081403286,381.53728273004,386.30649876417,392.4383479509,398.6675280771,400.61414686654,410.05802887931,412.06026534844,418.60090448096,423.83341578697,429.2294430713,436.04260883433,439.53094970501,448.50096908674,450.69091522486,457.84473927605,465.11211608996,470.92601754108,476.92160341255,480.73697623985,490.54793493862,498.33441009638,502.32108537715,508.71637697339,515.07533168556,523.2511306012],"description":"Fokker's 53-tone system, degree 37 has alternatives"},"fokker_53a":{"frequencies":[261.6255653006,264.89588486686,269.46602871384,272.52663052146,275.93321340298,279.38237857051,283.88190679319,287.4304306281,290.69507255622,294.32876096318,298.00787047521,302.80736724606,306.59245933664,310.42486507835,313.95067836072,319.36714514233,323.35923445661,327.03195662575,331.11985608357,334.88072358477,340.65828815182,344.91651675372,348.83408706747,353.19451315581,359.28803828513,363.36884069528,367.91095120397,372.50983809402,378.50920905758,383.2405741708,388.03108134794,392.4383479509,397.34382730029,403.74315632809,408.78994578219,413.89982010446,418.60090448096,425.82286018978,431.14564594215,436.04260883433,441.49314144476,447.01180571282,454.2110508691,459.88868900496,465.63729761752,470.92601754108,479.0507177135,484.4917875937,490.54793493862,496.67978412536,504.67894541011,510.98743222773,517.37477513058,523.2511306012],"description":"Fokker's 53-tone periodicity block of schisma & kleisma"},"fokker_53b":{"frequencies":[261.6255653006,264.59711493117,267.90457886781,272.52663052146,275.93321340298,279.06726965397,282.55561052465,287.4304306281,290.69507255622,294.32876096318,297.67175429757,301.39265122629,306.59245933664,310.07474405997,313.95067836072,317.51653791741,323.35923445661,327.03195662575,331.11985608357,334.88072358477,340.65828815182,344.91651675372,348.83408706747,353.19451315581,357.20610515709,363.36884069528,367.91095120397,372.08969287196,376.74081403286,383.2405741708,388.03108134794,392.4383479509,396.89567239676,401.85686830172,408.78994578219,413.89982010446,418.60090448096,423.35538388988,431.14564594215,436.04260883433,441.49314144476,446.50763144636,451.5790761492,459.88868900496,465.11211608996,470.92601754108,476.27480687611,485.03885168492,490.54793493862,496.11959049595,502.32108537715,510.98743222773,517.37477513058,523.2511306012],"description":"Fokker's 53-tone periodicity block of schisma & 2109375/2097152"},"fokker_av":{"frequencies":[261.6255653006,267.53238172257,273.57240048543,279.74894499065,286.06477437084,292.52336378682,299.12777114678,305.88111195206,312.78710209553,319.84901131344,327.07017092477,334.45455423048,342.00545991849,349.72704272607,357.62295854304,365.69693211485,373.95340598657,382.39606841888,391.02956482064,399.85798283974,408.88548711149,418.11704484248,427.5567798744,437.20988623572,447.08093432269,457.17458061119,467.49637893146,478.0512162812,488.84407170063,499.88088374606,511.16658268681,522.70737825664],"description":"Fokker's suggestion for a shrinked octave by averaging approximations"},"fokker_bosch":{"frequencies":[261.6255653006,294.32876096318,327.03195662575,343.38355445704,348.83408706747,392.4383479509,436.04260883433,457.84473927605,490.54793493862,523.2511306012],"description":"Scale of \"Naar Den Bosch toe\", genus diatonicum cum septimis. 1/1=D"},"fokker_sr":{"frequencies":[261.6255653006,269.10058145205,279.06726965397,287.04062021552,296.75121990114,305.22982618403,315.35224388912,325.57848126297,336.37572681506,347.28371334717,358.80077526939,367.91095120397,381.53728273004,392.4383479509,406.97310157871,418.60090448096,434.10464168396,446.50763144636,461.31528248922,474.80195184183,490.54793493862,506.45541529795,523.2511306012],"description":"Fokker's 7-limit sruti scale, KNAW B72, 1969"},"fokker_sr2":{"frequencies":[261.6255653006,270.30192333353,279.06726965397,288.32205155576,296.75121990114,306.59245933664,315.35224388912,327.03195662575,336.37572681506,348.83408706747,358.80077526939,372.08969287196,381.53728273004,394.1903048614,406.97310157871,420.46965851882,434.10464168396,448.50096908674,461.31528248922,476.92160341255,490.54793493862,508.71637697339,523.2511306012],"description":"Fokker's complementary 7-limit sruti scale, KNAW B72, 1969"},"fokker_sra":{"frequencies":[261.6255653006,269.76956886185,278.7476190342,287.42460593148,296.37169586701,305.59729331129,315.11006948887,325.59707150921,336.43308557971,346.90573279191,357.7043774887,368.83916960349,381.11429755927,392.97780480816,406.05627704035,419.57000893919,433.5334812886,447.02871783796,460.94403787128,475.29252052682,490.08765232515,506.39798251136,523.2511306012],"description":"Two-step approximation 9-13 to Fokker's 7-limit sruti scale"},"fokker_srb":{"frequencies":[261.6255653006,269.31534001393,278.64197723942,286.83190328195,296.76515515861,305.48776291796,316.06708432391,325.35701999957,336.62443200122,346.51859521924,358.51885197895,369.0565423573,381.83730669135,393.06038214356,406.67242132093,418.62545783369,433.12283887627,445.85331391262,461.29362042034,474.85209942927,491.29666030217,505.73699464332,523.2511306012],"description":"Two-step maximally even approximation 11-11 to Fokker's 7-limit sruti scale"},"fokker_uv":{"frequencies":[220,220.05029721079,220.09166666667,220.14198483463,220.15668113546,220.24841308594,220.29876708984,220.3905582428,220.5253936656,220.68244897959,220.7744,220.82487425697,220.98214285714,221.03266460905,221.0236875,221.07421875,221.28224372864,221.41762468656,221.66763848397,221.71831695641,221.76,221.81069958848,222.01040039062,222.06115722656,222.40609622534,222.44790857143,222.4987654321,222.65722615577,222.75,222.80092592593,223.00151824951,223.05250167847,223.14544022083,223.18896568405,223.23999196793,223.44097959184,223.49206349206,223.58518518519,223.79557291667,223.88882107205,224.18534499514,224.23659907493,224.33003099121,224.48979591837,224.58333333333,224.79466029576,224.83692169189,224.88832473755,225.18617242815,225.28,225.33150434385,225.49198250729,225.5859375,225.67993164062,225.9788277551,226.03049186753,226.28571428571,226.4317558299,226.68743133545,227.08224,227.1341563786,227.29591836735,227.390625,227.44261188272,228.096,228.14814814815,229.16666666667,231,232.03125,233.6237037037,233.84353741497],"description":"Table of Unison Vectors, Microsons and Minisons, from article KNAW, 1969"},"foote":{"frequencies":[261.6255653006,276.70272600503,293.15632631094,310.58830860439,328.48713220126,349.43001184052,368.92737853004,391.76907592069,414.58565256441,438.98455767189,465.89457252293,492.17459484008,523.2511306012],"description":"Ed Foote, piano temperament. TL 9 Jun 1999, almost equal to Coleman"},"forster":{"frequencies":[261.6255653006,279.06726965397,283.42769574232,287.78812183066,299.00064605783,309.19384990071,319.76457981184,327.03195662575,336.37572681506,340.11323489078,343.38355445704,353.19451315581,359.73515228832,366.27579142084,373.75080757229,377.90359432309,380.54627680087,387.59343007496,392.4383479509,398.6675280771,402.50086969323,406.97310157871,418.60090448096,428.11456140098,441.49314144476,442.75095666255,448.50096908674,457.84473927605,465.11211608996,483.00104363188,490.54793493862,507.3950357345,523.2511306012],"description":"Cris Forster's Chrysalis tuning, XH 7+8"},"fortuna11":{"frequencies":[261.6255653006,274.70684356563,299.00064605783,305.22982618403,332.97799220076,343.38355445704,373.75080757229,398.6675280771,411.12588832951,448.50096908674,457.84473927605,498.33441009638,523.2511306012],"description":"11-limit scale from Clem Fortuna"},"fortuna_a1":{"frequencies":[261.6255653006,277.18263097687,293.66476791741,311.12698372208,320.24370022528,349.22823143301,369.99442271164,391.99543598175,415.30469757995,440,466.16376151809,479.82340237272,523.2511306012],"description":"Clem Fortuna, Arabic mode of 24-tET, try C or G major, superset of Basandida, trivalent"},"fortuna_a2":{"frequencies":[261.6255653006,277.18263097687,285.30470202322,311.12698372208,329.62755691287,349.22823143301,369.99442271164,391.99543598175,428.11456140098,440,466.16376151809,493.88330125613,523.2511306012],"description":"Clem Fortuna, Arabic mode of 24-tET, try C or F minor"},"fortuna_bag":{"frequencies":[261.6255653006,266.17557513191,291.58269109838,303.42373253797,318.96815495553,348.01136516401,359.18086083642,388.55281975337,398.8194592997,432.92801877123,462.35552488468,479.64686971777,523.2511306012],"description":"Bagpipe tuning from Fortuna, try key of G with F natural"},"fortuna_eth":{"frequencies":[261.6255653006,280.31310567921,288.69027895239,305.7551787248,323.91736656265,346.02090894595,368.95913055213,385.17097113699,414.24047839262,422.62591317789,469.58434797544,484.00729580611,523.2511306012],"description":"Ethiopian Tunings from Fortuna"},"fortuna_sheng":{"frequencies":[261.6255653006,275.29257244317,286.94416839421,312.81317590289,320.2657782128,348.83408706747,367.19377586049,382.62738925213,417.81993264424,433.74764773521,467.75479856774,484.77678276288,523.2511306012],"description":"Sheng scale on naturals starting on d, from Fortuna"},"francis_r12-14p":{"frequencies":[261.6255653006,277.2273508585,293.19140419912,311.27759533081,328.56574776048,349.51003591412,369.636465861,391.67937618637,415.43871422078,438.93656251816,466.46466724696,492.84862139436,523.2511306012],"description":"Bach WTC theoretical temperament, 1/14 Pyth. comma, Cornet-ton"},"francis_r12-2":{"frequencies":[261.6255653006,277.2831963903,293.15801965318,311.35818177599,328.6319369554,349.45847225471,369.71092870521,391.50168688506,415.45657533448,438.80025285527,466.56783666625,492.94847466277,523.2511306012],"description":"J. 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[33335]"},"efg3333555":{"frequencies":[261.6255653006,272.52663052146,279.06726965397,290.69507255622,294.32876096318,306.59245933664,313.95067836072,327.03195662575,348.83408706747,363.36884069528,367.91095120397,372.08969287196,392.4383479509,408.78994578219,418.60090448096,436.04260883433,459.88868900496,465.11211608996,470.92601754108,490.54793493862,523.2511306012],"description":"Genus [3333555]"},"efg33335555":{"frequencies":[261.6255653006,272.52663052146,279.06726965397,290.69507255622,294.32876096318,297.67175429757,306.59245933664,313.95067836072,327.03195662575,334.88072358477,348.83408706747,363.36884069528,367.91095120397,372.08969287196,376.74081403286,392.4383479509,408.78994578219,418.60090448096,436.04260883433,446.50763144636,459.88868900496,465.11211608996,470.92601754108,490.54793493862,502.32108537715,523.2511306012],"description":"Genus bis-ultra-chromaticum 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[333355577]"},"efg33337":{"frequencies":[261.6255653006,294.32876096318,305.22982618403,343.38355445704,348.83408706747,386.30649876417,392.4383479509,441.49314144476,457.84473927605,515.07533168556,523.2511306012],"description":"Genus [33337]"},"efg3335":{"frequencies":[261.6255653006,290.69507255622,327.03195662575,348.83408706747,392.4383479509,436.04260883433,465.11211608996,490.54793493862,523.2511306012],"description":"Genus diatonicum veterum correctum [3335]"},"efg33355":{"frequencies":[261.6255653006,272.52663052146,290.69507255622,310.07474405997,327.03195662575,348.83408706747,363.36884069528,387.59343007496,408.78994578219,436.04260883433,465.11211608996,484.4917875937,523.2511306012],"description":"Genus diatonico-chromaticum hodiernum correctum 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[335555577]"},"efg33557":{"frequencies":[261.6255653006,274.70684356563,279.06726965397,286.15296204753,305.22982618403,313.95067836072,327.03195662575,343.38355445704,348.83408706747,366.27579142084,381.53728273004,392.4383479509,418.60090448096,429.2294430713,436.04260883433,457.84473927605,488.36772189445,490.54793493862,523.2511306012],"description":"Genus chromatico-enharmonicum [33557]"},"efg335577":{"frequencies":[261.6255653006,274.70684356563,279.06726965397,280.31310567921,286.15296204753,299.00064605783,305.22982618403,313.95067836072,318.93402246168,327.03195662575,343.38355445704,348.83408706747,358.80077526939,366.27579142084,373.75080757229,381.53728273004,392.4383479509,398.6675280771,418.60090448096,429.2294430713,436.04260883433,448.50096908674,457.84473927605,478.40103369253,488.36772189445,490.54793493862,498.33441009638,523.2511306012],"description":"Genus chromaticum septimis triplex 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shifted, Paul Erlich"},"erlich9":{"frequencies":[261.6255653006,271.31540105247,280.31310567921,290.69507255622,302.70726563706,308.34441624714,319.76457981184,332.97799220076,345.34574619679,356.76213450082,369.97554688974,383.71749577421,396.40237166758,411.12588832951,428.11456140098,436.04260883433,452.23847716247,470.92601754108,488.36772189445,504.56359022259,523.2511306012],"description":"11-limit periodicity block, u.v.: 9801/9800 243/242 126/125 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scale"},"erlich_bpp":{"frequencies":[261.6255653006,268.60224704195,277.4816601673,282.55561052465,293.6613488068,299.68019298069,311.45900631024,319.76457981184,323.65460841914,336.37572681506,345.34574619679,356.76213450082,366.27579142084,380.67211882362,385.30310526088,400.44729382745,411.12588832951,419.55227017296,436.04260883433,447.67041173658,458.69417292962,470.92601754108,489.43558134466,499.46698830115,512.78610798918,528.59042785223,539.42434736524,560.62621135843,575.57624366132,594.60355750136,610.45965236807,629.27431887171,642.17184210147,659.29642455751,685.20981388252,699.2537836216,720.80512888941,740.02659899313,764.49028821604,784.8766959018],"description":"Periodicity block for erlich_bpf, 1625/1617 1331/1323 275/273 245/243"},"erlich_bpp2":{"frequencies":[261.6255653006,268.60224704195,277.4816601673,282.55561052465,293.92501780685,299.68019298069,311.45900631024,319.76457981184,326.02570445152,336.37572681506,345.34574619679,356.76213450082,366.27579142084,377.90359432309,385.30310526088,400.44729382745,411.12588832951,422.62591317789,436.04260883433,447.67041173658,458.69417292962,470.92601754108,485.87604984397,499.46698830115,512.78610798918,528.59042785223,543.37617408586,560.62621135843,575.57624366132,594.60355750136,610.45965236807,629.83932387181,642.17184210147,659.29642455751,685.20981388252,698.62650953896,726.73768139056,740.02659899313,764.49028821604,784.8766959018],"description":"Improved shape for erlich_bpp"},"erlich_bppe":{"frequencies":[261.6255653006,269.03526454087,276.77324548748,284.61195549492,292.79795257063,301.09050901183,309.7504615497,318.52314490095,327.68449417797,337.10934179701,346.6568752383,356.62740568226,366.72772736951,377.27553481706,387.96064596243,399.11915372018,410.59860200806,422.22748385656,434.37157296247,446.67374500165,459.5209564409,472.53540627884,486.12644973042,499.89441151621,514.27235352402,529.06383329425,544.0478609495,559.69574261012,575.54731703113,592.10118472076,608.870542156,626.38285104305,644.39884822068,662.64936456684,681.70845767885,701.01565227402,721.17823493702,741.60327945962,762.93324174612,784.8766959018],"description":"LS optimal 3:5:7:11:13 tempering, virtually equal, g=780.2702 cents"},"erlich_bppm":{"frequencies":[261.6255653006,269.3148593258,276.83859227209,284.97500405989,292.93622770824,301.54575630263,309.96990811138,319.08006614158,327.99406628962,337.15709295818,347.06629484351,356.76213450082,367.24753706379,377.50717076432,388.60227773252,399.45849178361,410.61798882758,422.6862401977,434.49464068244,447.26463523836,459.75967424319,473.27221959449,486.49381977384,500.79209531182,514.78250488433,529.16376146212,544.7161244152,559.93362036345,576.39032675477,592.49269103014,609.9063234692,626.94500947499,644.45969779399,663.40066444061,681.93379843592,701.97614206495,721.5869464624,742.79471409673,763.54584931731,784.8766959018],"description":"MM optimal 3:5:7:11:13 tempering, g=780.352 cents"},"erlich_paj":{"frequencies":[261.6255653006,269.74106841426,278.59741216196,287.23937405609,296.67040683594,305.87298460253,315.91563888094,325.71519477697,336.4093235789,346.84458402385,358.23265591403,369.99442271164,381.47147728046,393.99623872149,406.21781843768,419.55531290213,432.56972318844,446.77218107119,460.63084592459,475.75462791404,490.51231476219,506.61748047856,523.2511306012],"description":"Erlich's Pajara or Twintone, with RMS optimal generator"},"erlich_paj2":{"frequencies":[261.6255653006,270.25447814202,278.68577354399,287.87753105276,296.85845221806,306.64959036092,316.21614384055,326.645747324,336.83612131731,347.94582350257,358.80069640371,369.99442271164,382.1975482805,394.12120058634,407.1203087173,419.82124923186,433.66800958456,447.19715926063,461.9468459571,476.35821106408,492.06970256841,507.42081104304,523.2511306012],"description":"Erlich's Pajara or Twintone with minimax optimal generator"},"escapade":{"frequencies":[261.6255653006,270.11362843741,278.8770761192,287.9248395776,297.26614463769,306.91051483225,316.86778450163,327.1481015562,337.76194863153,348.72014864112,360.03386958939,371.71464785337,383.77439429365,392.56657056143,405.30282760495,418.45229174958,432.02837124332,446.04490958069,460.51619165905,475.45697355792,490.88248752006,506.80846290374,523.2511306012],"description":"Escapade temperament, g=55.275493, 5-limit"},"et-mix6":{"frequencies":[261.6255653006,293.66476791741,300.52885648597,311.12698372208,329.62755691287,345.21700307457,369.99442271164,396.55020354877,415.30469757995,440,455.51656649021,466.16376151809,523.2511306012],"description":"Mix of equal temperaments from 1-6 (= 4-6)"},"euler":{"frequencies":[261.6255653006,272.52663052146,294.32876096318,306.59245933664,327.03195662575,348.83408706747,367.91095120397,392.4383479509,408.78994578219,436.04260883433,459.88868900496,490.54793493862,523.2511306012],"description":"Euler's Monochord (a mode of Ellis's duodene) (1739), genus [33355]"},"euler20":{"frequencies":[261.6255653006,274.58143914872,285.65749968142,293.61100773131,305.45468261618,320.58100381398,326.62388782443,329.50688232588,342.79852229325,366.55580177366,381.34192228364,391.95955371998,407.7704102616,411.36965665618,427.96347506501,439.87918162894,457.62301915088,489.33808574423,509.07699553894,513.57043963064,523.2511306012],"description":"Genus [3333555] tempered by 225/224-planar"},"euler24":{"frequencies":[261.6255653006,274.58143914872,285.65749968142,293.61100773131,305.45468261618,308.1508239679,320.58100381398,326.62388782443,329.50688232588,342.79852229325,366.55580177366,381.34192228364,384.70789368407,391.95955371998,407.7704102616,411.36965665618,427.96347506501,439.87918162894,457.62301915088,480.28481865546,489.33808574423,493.65730140218,509.07699553894,513.57043963064,523.2511306012],"description":"Genus [33333555] tempered by 225/224-planar"},"euler_diat":{"frequencies":[261.6255653006,294.32876096318,327.03195662575,348.83408706747,367.91095120397,392.4383479509,436.04260883433,490.54793493862,523.2511306012],"description":"Euler's genus diatonicum veterum correctum"},"euler_enh":{"frequencies":[261.6255653006,267.90457886781,275.62199471997,348.83408706747,392.4383479509,401.85686830172,413.43299207996,523.2511306012],"description":"Euler's Old Enharmonic, From Tentamen Novae Theoriae Musicae"},"euler_gm":{"frequencies":[261.6255653006,271.31540105247,279.06726965397,289.40309445597,348.83408706747,361.75386806997,372.08969287196,385.87079260796,523.2511306012],"description":"Euler's Genus Musicum, Octony based on Archytas's Enharmonic"},"exptriad2":{"frequencies":[261.6255653006,306.59245933664,327.03195662575,367.91095120397,392.4383479509,459.88868900496,490.54793493862,523.2511306012],"description":"Two times expanded major triad"},"exptriad3":{"frequencies":[261.6255653006,269.46602871384,275.93321340298,279.06726965397,287.4304306281,294.32876096318,297.67175429757,303.14928230307,306.59245933664,313.95067836072,323.35923445661,327.03195662575,344.91651675372,348.83408706747,359.28803828513,367.91095120397,372.08969287196,378.93660287884,383.2405741708,392.4383479509,404.19904307077,408.78994578219,418.60090448096,431.14564594215,436.04260883433,446.50763144636,459.88868900496,490.54793493862,505.24880383846,517.37477513058,523.2511306012],"description":"Three times expanded major triad"},"iivv17":{"frequencies":[261.6255653006,269.80136421624,277.97716313189,283.42769574232,294.32876096318,305.22982618403,318.85615771011,327.03195662575,343.38355445704,348.83408706747,359.73515228832,367.91095120397,370.63621750918,392.4383479509,416.96574469783,425.14154361347,436.04260883433,441.49314144476,457.84473927605,479.64686971777,490.54793493862,523.2511306012],"description":"17-limit IIVV"},"indian-ayyar":{"frequencies":[261.6255653006,272.52663052146,279.06726965397,290.69507255622,294.32876096318,305.22982618403,313.95067836072,327.03195662575,336.37572681506,348.83408706747,359.73515228832,366.27579142084,373.75080757229,392.4383479509,406.97310157871,418.60090448096,436.04260883433,441.49314144476,457.84473927605,470.92601754108,490.54793493862,502.32108537715,523.2511306012],"description":"Carnatic sruti system, C.Subrahmanya Ayyar, 1976. alt:21/20 25/16 63/40 40/21"},"indian-dk":{"frequencies":[261.6255653006,294.32876096318,305.22982618403,313.95067836072,348.83408706747,392.4383479509,406.97310157871,418.60090448096,465.11211608996,523.2511306012],"description":"Raga Darbari Kanada"},"indian-ellis":{"frequencies":[261.6255653006,269.10058145205,277.01530443593,285.40970760065,294.32876096318,303.82323712328,313.95067836072,324.77656382143,336.37572681506,348.83408706747,358.01393146398,367.68998366571,377.90359432309,388.70083987518,400.13321751856,412.25846653428,425.14154361347,438.85578695585,453.48431318771,469.12170329763,485.87604984397,503.87145909745,523.2511306012],"description":"Ellis's Indian Chromatic, theoretical #74 of App.XX, p.517 of Helmholtz"},"indian-hahn":{"frequencies":[261.6255653006,272.52663052146,279.06726965397,290.69507255622,294.32876096318,306.59245933664,313.95067836072,327.03195662575,334.88072358477,348.83408706747,353.19451315581,367.91095120397,376.74081403286,392.4383479509,408.78994578219,418.60090448096,436.04260883433,441.49314144476,465.11211608996,470.92601754108,490.54793493862,502.32108537715,523.2511306012],"description":"Indian shrutis Paul Hahn proposal"},"indian-hrdaya1":{"frequencies":[261.6255653006,282.55561052465,294.32876096318,313.95067836072,328.55303549378,348.83408706747,375.07381928051,392.4383479509,428.11456140098,441.49314144476,470.92601754108,492.82955324067,523.2511306012],"description":"From Hrdayakautaka of Hrdaya Narayana (17th c) Bhatkande's interpretation"},"indian-hrdaya2":{"frequencies":[261.6255653006,282.55561052465,294.32876096318,313.95067836072,330.47439827444,348.83408706747,376.74081403286,392.4383479509,428.11456140098,448.50096908674,470.92601754108,495.71159741166,523.2511306012],"description":"From Hrdayakautaka of Hrdaya Narayana (17th c) Levy's interpretation"},"indian-invrot":{"frequencies":[261.6255653006,267.90457886781,279.06726965397,313.95067836072,327.03195662575,334.88072358477,348.83408706747,392.4383479509,418.60090448096,446.50763144636,490.54793493862,502.32108537715,523.2511306012],"description":"Inverted and rotated North Indian gamut"},"indian-magrama":{"frequencies":[261.6255653006,294.32876096318,327.03195662575,367.91095120397,392.4383479509,441.49314144476,490.54793493862,523.2511306012],"description":"Indian mode Ma-grama (Sa Ri Ga Ma Pa Dha Ni Sa)"},"indian-newbengali":{"frequencies":[261.6255653006,269.13627541126,277.02257024271,285.46954808622,294.32876096318,303.84527498141,313.95067836072,324.71413568646,336.35938765066,348.83408706747,358.01090280364,367.91095120397,377.98706287655,388.6137256405,400.23209335925,412.19781491431,425.25755219187,438.98455767189,453.41648894489,469.13512554326,485.39868175205,503.9696508909,523.2511306012],"description":"Modern Bengali scale,S.M. Tagore: The mus. scales of the Hindus,Calcutta 1884"},"indian-old2ellis":{"frequencies":[261.6255653006,270.06509966514,277.97716313189,285.40970760065,294.32876096318,305.22982618403,316.13089140489,327.03195662575,337.93302184661,348.83408706747,359.73515228832,370.63621750918,380.54627680087,392.4383479509,404.33041910093,415.52295665389,428.11456140098,441.49314144476,457.84473927605,474.19633710734,490.54793493862,505.80942624783,523.2511306012],"description":"Ellis Old Indian Chrom2, Helmholtz, p. 517. This is a 4 cent appr. to #73"},"indian-oldellis":{"frequencies":[261.6255653006,269.44737349144,277.4816601673,285.79952600623,294.32876096318,304.84150796353,315.71315096976,327.03195662575,337.72216249472,348.83408706747,359.25382662183,369.99442271164,381.0561299374,392.4383479509,404.18156579781,416.22249025095,428.71043212875,441.49314144476,457.27414749797,473.58203588493,490.54793493862,506.59641128799,523.2511306012],"description":"Ellis Old Indian Chromatic, Helmholtz, p. 517. This is a 0.5 cent appr. to #73"},"indian-raja":{"frequencies":[261.6255653006,294.32876096318,327.03195662575,348.83408706747,392.4383479509,490.54793493862,523.2511306012],"description":"A folk scale from Rajasthan, India"},"indian-sagrama":{"frequencies":[261.6255653006,294.32876096318,327.03195662575,348.83408706747,392.4383479509,441.49314144476,490.54793493862,523.2511306012],"description":"Indian mode Sa-grama (Sa Ri Ga Ma Pa Dha Ni Sa), inverse of Didymus' diatonic"},"indian-srutiharm":{"frequencies":[261.6255653006,275.04226095704,278.87560257317,292.29229825722,294.20896982953,310.50067090621,313.3756771183,327.75070817877,332.5423844325,351.70909240436,354.58409877157,369.9174668925,374.70914348171,393.87585105695,414.95923028882,421.66757847392,437.95928040996,441.79262140873,467.66767825558,473.41768959156,493.54273382289,499.29274676062,523.2511306012],"description":"B. Chaitanya Deva's sruti harmonium. The Music of India, 1981, p. 109"},"indian-srutivina":{"frequencies":[261.6255653006,268.56758546278,278.98051393788,288.52577197574,297.52863491406,305.33829130574,314.01573591759,327.57422802312,336.57725592546,350.35262131413,358.2707318239,366.40588882483,378.77125721528,394.82459335461,403.28512412878,416.95215854696,428.77531684666,444.28620821491,453.93981227417,469.5594057965,487.34812384257,504.37765306036,529.32520658991],"description":"Raja S.M. Tagore's sruti vina, measured by Ellis and Hipkins, 1886. 1/1=241.2"},"indian-srutivina2":{"frequencies":[261.6255653006,275.04226095704,278.87560257317,292.29229825722,294.20896982953,310.50067090621,313.3756771183,327.75070817877,332.5423844325,351.70909240436,354.58409877157,369.9174668925,374.70914348171,393.87585105695,414.95923028882,421.66757847392,437.95928040996,441.79262140873,467.66767825558,473.41768959156,493.54273382289,499.29274676062,523.2511306012],"description":"S. Ramanathan's sruti vina, 1973. In B.C. Deva, The Music of India, p. 110"},"indian-vina":{"frequencies":[261.6255653006,276.70272600503,292.81785438923,313.29104303136,329.05685050583,352.26720984209,369.14054089803,390.18821123181,411.0090584005,435.70052664441,465.35666077712,491.60634075178,525.37110555681],"description":"Observed South Indian tuning of a vina, Ellis"},"indian-vina2":{"frequencies":[261.6255653006,277.02257024271,292.81785438923,308.97787266236,326.21810583671,344.81842302716,363.84824628932,386.37547528213,409.11417474979,432.19134773437,455.25352578019,480.93331155807,507.76825077597,539.82938999168,571.59905201246,602.44805673853,637.90290877605,678.5727631795,715.19510239543,756.4109196702,799.53998816902,846.10508618474,890.73947019126,943.16064703194,1001.55531043729],"description":"Observed tuning of old vina in Tanjore Palace, Ellis and Hipkins. 1/1=210.7 Hz"},"indian-vina3":{"frequencies":[261.6255653006,275.62199471997,294.32876096318,310.07474405997,327.03195662575,348.83408706747,367.91095120397,392.4383479509,413.43299207996,441.49314144476,465.11211608996,490.54793493862,523.2511306012],"description":"Tuning of K.S. 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AD"},"albion":{"frequencies":[261.6255653006,279.06726965397,294.32876096318,313.95067836072,327.03195662575,348.83408706747,372.08969287196,392.4383479509,418.60090448096,436.04260883433,465.11211608996,490.54793493862,523.2511306012],"description":"Terry Riley's Harp of New Albion scale, inverse Malcolm's Monochord, 1/1 on C#"},"alembert":{"frequencies":[261.6255653006,273.70610837433,292.50627485027,307.8325111191,327.03195662575,347.99121610009,365.92863081328,391.22147055517,409.45161370755,437.39890198442,462.86717295458,489.22460251523,523.2511306012],"description":"Jean-Le Rond d'Alembert modified meantone (1752)"},"alembert2":{"frequencies":[261.6255653006,274.99999938609,292.5775112526,309.28790118232,327.03195662575,348.53877105022,367.08095907728,391.31674786192,412.03444522126,437.50542525192,464.32494005553,489.99429388332,523.2511306012],"description":"d'Alembert (?)"},"alves":{"frequencies":[261.6255653006,267.07609791103,294.32876096318,305.22982618403,327.03195662575,336.37572681506,348.83408706747,359.73515228832,392.4383479509,425.14154361347,448.50096908674,457.84473927605,504.56359022259,523.2511306012],"description":"Bill Alves, tuning for \"Instantaneous Motion\", 1/1 vol. 6/3"},"alves_22":{"frequencies":[261.6255653006,269.80136421624,279.06726965397,287.78812183066,297.30177875068,305.22982618403,317.12189733406,327.03195662575,336.37572681506,348.83408706747,359.73515228832,370.01329949656,380.54627680087,392.4383479509,406.97310157871,418.60090448096,431.68218274599,448.50096908674,460.46099492906,475.68284600109,490.54793493862,507.3950357345,523.2511306012],"description":"11-limit rational interpretation of 22-tET, Bill Alves, tuning list 9-1-98"},"amity":{"frequencies":[261.6255653006,265.19165427121,275.22357733525,278.97501409741,282.77758484276,286.63198489776,290.53892403345,294.49911672845,305.63971046081,309.80573452349,314.02854360428,318.30891171173,322.64762154083,327.04547204619,339.41726037801,344.04368955469,348.73317930436,353.48658917459,358.304790429,371.85908609843,376.92771379174,382.0654272409,387.27317253358,392.55190203235,397.90258328792,412.95482206782,418.58360545772,424.28911201625,430.07238503487,435.93448947821,452.42543551278,458.59222335614,464.84306764133,471.17911410024,477.60152408164,484.11147196776,502.42490579041,509.27320879713,516.21486058423,523.2511306012],"description":"Amity temperament, g=339.508826, 5-limit"},"angklung":{"frequencies":[261.6255653006,294.70472480469,326.28010551578,372.13971319976,421.00655337609,533.77627782773,589.40944960937,672.10704388342,757.81210779894],"description":"Scale of an anklung set from Tasikmalaya. 1/1=174 Hz"},"appunn":{"frequencies":[261.6255653006,272.52663052146,275.93321340298,279.38237857051,287.10624449997,290.69507255622,294.32876096318,302.46583782713,306.24666079997,310.07474405997,322.99452506247,327.03195662575,331.11985608357,340.27406755552,344.52749339997,348.83408706747,363.36884069528,367.91095120397,372.50983809402,382.80832599996,387.59343007496,392.4383479509,408.78994578219,413.89982010446,419.07356785577,430.65936674996,436.04260883433,441.49314144476,453.6987567407,459.36999119996,465.11211608996,484.4917875937,490.54793493862,496.67978412536,510.41110133328,516.79124009995,523.2511306012],"description":"Probable tuning of A. Appunn's 36-tone harmonium w. 3 manuals 80/81 apart,1887"},"arabic":{"frequencies":[261.6255653006,275.62199471997,290.36720431405,294.32876096318,310.07474405997,326.6631048533,331.11985608357,348.83408706747,367.49599295996,387.15627241873,392.4383479509,413.43299207996,435.55080647107,441.49314144476,465.11211608996,489.99465727995,516.20836322497,523.2511306012],"description":"Arabic 17-tone Pythagorean mode, Safi al-Din"},"arabic_s":{"frequencies":[261.6255653006,275.62199471997,290.69507255622,294.32876096318,310.07474405997,327.03195662575,331.11985608357,348.83408706747,367.91095120397,387.59343007496,392.4383479509,413.43299207996,436.04260883433,441.49314144476,465.11211608996,490.54793493862,516.79124009995,523.2511306012],"description":"Schimatically altered Arabic 17-tone Pythagorean mode"},"arch_chrom":{"frequencies":[261.6255653006,271.31540105247,294.32876096318,348.83408706747,392.4383479509,406.97310157871,441.49314144476,523.2511306012],"description":"Archytas' Chromatic"},"arch_chromc2":{"frequencies":[261.6255653006,271.31540105247,294.32876096318,305.22982618403,331.11985608357,343.38355445704,348.83408706747,361.75386806997,392.4383479509,406.97310157871,422.04617941496,441.49314144476,457.84473927605,496.67978412536,523.2511306012],"description":"Product set of 2 of Archytas' Chromatic"},"arch_dor":{"frequencies":[261.6255653006,271.31540105247,294.32876096318,348.83408706747,392.4383479509,406.97310157871,465.11211608996,441.49314144476,523.2511306012],"description":"Dorian mode of Archytas' Chromatic with added 16/9"},"arch_enh":{"frequencies":[261.6255653006,271.31540105247,279.06726965397,348.83408706747,392.4383479509,406.97310157871,418.60090448096,523.2511306012],"description":"Archytas' Enharmonic"},"arch_enh2":{"frequencies":[261.6255653006,271.31540105247,279.06726965397,348.83408706747,392.4383479509,406.97310157871,465.11211608996,418.60090448096,523.2511306012],"description":"Archytas' Enharmonic with added 16/9"},"arch_enh3":{"frequencies":[261.6255653006,271.31540105247,279.06726965397,336.37572681506,348.83408706747,358.80077526939,448.50096908674,523.2511306012],"description":"Complex 9 of p. 113 based on Archytas's Enharmonic"},"arch_enhp":{"frequencies":[261.6255653006,269.10058145205,279.06726965397,348.83408706747,392.4383479509,403.65087217807,418.60090448096,523.2511306012],"description":"Permutation of Archytas's Enharmonic with the 36/35 first"},"arch_enht":{"frequencies":[261.6255653006,269.10058145205,271.31540105247,279.06726965397,336.37572681506,348.83408706747,504.56359022259,523.2511306012],"description":"Complex 6 of p. 113 based on Archytas's Enharmonic"},"arch_enht2":{"frequencies":[261.6255653006,271.31540105247,279.06726965397,327.03195662575,348.83408706747,490.54793493862,508.71637697339,523.2511306012],"description":"Complex 5 of p. 113 based on Archytas's 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1"},"arch_ptol2":{"frequencies":[261.6255653006,271.31540105247,279.06726965397,294.32876096318,313.95067836072,348.83408706747,361.75386806997,392.4383479509,406.97310157871,418.60090448096,441.49314144476,470.92601754108,523.2511306012],"description":"Archytas/Ptolemy Hybrid 2"},"arch_sept":{"frequencies":[261.6255653006,271.31540105247,279.06726965397,294.32876096318,310.07474405997,348.83408706747,361.75386806997,392.4383479509,406.97310157871,418.60090448096,441.49314144476,465.11211608996,523.2511306012],"description":"Archytas Septimal"},"ariel1":{"frequencies":[261.6255653006,282.55561052465,294.32876096318,313.95067836072,327.03195662575,348.83408706747,363.36884069528,392.4383479509,418.60090448096,436.04260883433,470.92601754108,490.54793493862,523.2511306012],"description":"Ariel 1"},"ariel2":{"frequencies":[261.6255653006,279.06726965397,290.69507255622,313.95067836072,327.03195662575,348.83408706747,363.36884069528,392.4383479509,418.60090448096,436.04260883433,470.92601754108,490.54793493862,523.2511306012],"description":"Ariel 2"},"ariel3":{"frequencies":[261.6255653006,279.06726965397,290.69507255622,310.07474405997,322.99452506247,348.83408706747,363.36884069528,392.4383479509,418.60090448096,436.04260883433,465.11211608996,484.4917875937,523.2511306012],"description":"Ariel's 12-tone JI scale"},"ariel_19":{"frequencies":[261.6255653006,272.52663052146,279.06726965397,290.69507255622,302.80736724606,313.95067836072,327.03195662575,334.88072358477,348.83408706747,363.36884069528,376.74081403286,392.4383479509,408.78994578219,418.60090448096,436.04260883433,452.08897683944,470.92601754108,490.54793493862,502.32108537715,523.2511306012],"description":"Ariel 19-tone scale"},"ariel_31":{"frequencies":[261.6255653006,267.90457886781,272.52663052146,279.06726965397,283.88190679319,294.32876096318,301.39265122629,306.59245933664,313.95067836072,319.36714514233,327.03195662575,334.88072358477,340.65828815182,348.83408706747,357.20610515709,363.36884069528,376.74081403286,383.2405741708,392.4383479509,401.85686830172,408.78994578219,418.60090448096,428.6473261885,436.04260883433,446.50763144636,454.2110508691,465.11211608996,482.22824196207,490.54793493862,502.32108537715,510.98743222773,523.2511306012],"description":"Ariel's 31-tone system"},"arist_archenh":{"frequencies":[261.6255653006,271.89678302796,279.86396690685,349.22823143301,391.99543598175,407.38487419079,419.32216217931,523.2511306012],"description":"PsAristo Arch. Enharmonic, 4 + 3 + 23 parts, similar to Archytas' enharmonic"},"arist_chrom":{"frequencies":[261.6255653006,277.18263097687,329.62755691287,349.22823143301,391.99543598175,415.30469757995,493.88330125613,523.2511306012],"description":"Dorian, Neo-Chromatic,6+18+6 parts = Athanasopoulos' Byzant.liturg. 2nd chromatic"},"arist_chrom2":{"frequencies":[261.6255653006,282.57123920205,336.03572815422,349.22823143301,391.99543598175,423.37848741825,503.48470957687,523.2511306012],"description":"Dorian Mode, a 1:2 Chromatic, 8 + 18 + 4 parts"},"arist_chrom3":{"frequencies":[261.6255653006,279.86388595857,299.37253740865,349.22869576324,391.99491478937,419.32387668214,448.55625766774,523.2511306012],"description":"PsAristo 3 Chromatic, 7 + 7 + 16 parts"},"arist_chrom4":{"frequencies":[261.6255653006,275.85166538713,290.85115308106,349.22823143301,391.99543598175,413.31050241775,435.7843409791,523.2511306012],"description":"PsAristo Chromatic, 5.5 + 5.5 + 19 parts"},"arist_chromenh":{"frequencies":[261.6255653006,269.29177952703,293.66476791741,349.22823143301,391.99543598175,403.48177901006,440,523.2511306012],"description":"Aristoxenos' Chromatic/Enharmonic, 3 + 9 + 18 parts"},"arist_chrominv":{"frequencies":[261.6255653006,311.12698372208,329.62755691287,349.22823143301,391.99543598175,466.16376151809,493.88330125613,523.2511306012],"description":"Aristoxenos' Inverted Chromatic, Dorian mode, 18 + 6 + 6 parts"},"arist_chromrej":{"frequencies":[261.6255653006,277.18263097687,285.30470202322,349.22823143301,391.99543598175,415.30469757995,427.47405410759,523.2511306012],"description":"Aristoxenos Rejected Chromatic, 6 + 3 + 21 parts"},"arist_chromunm":{"frequencies":[261.6255653006,273.20871865617,282.57118533961,349.22823143301,391.99543598175,409.35055662695,423.37840671577,523.2511306012],"description":"Unmelodic Chromatic, genus of Aristoxenos, Dorian Mode, 4.5 + 3.5 + 22 parts"},"arist_diat":{"frequencies":[261.6255653006,293.66476791741,311.12698372208,349.22823143301,391.99543598175,440,466.16376151809,523.2511306012],"description":"Phrygian octave species on E, 12 + 6 + 12 parts"},"arist_diat2":{"frequencies":[261.6255653006,279.86396690685,311.12698372208,349.22823143301,391.99543598175,419.32216217931,466.16376151809,523.2511306012],"description":"PsAristo 2 Diatonic, 7 + 11 + 12 parts"},"arist_diat3":{"frequencies":[261.6255653006,286.68133251996,314.13668154225,349.22823143301,391.99543598175,429.53666932309,470.6732130613,523.2511306012],"description":"PsAristo Diat 3, 9.5 + 9.5 + 11 parts"},"arist_diat4":{"frequencies":[261.6255653006,282.57123920205,305.19382000629,349.22823143301,391.99543598175,423.37848741825,457.27406033445,523.2511306012],"description":"PsAristo Diatonic, 8 + 8 + 14 parts"},"arist_diatdor":{"frequencies":[261.6255653006,299.37379946195,305.19382000629,349.22823143301,391.99543598175,448.5538823653,457.27406033445,523.2511306012],"description":"PsAristo Redup. Diatonic, 14 + 2 + 14 parts"},"arist_diatinv":{"frequencies":[261.6255653006,293.66476791741,329.62755691287,349.22823143301,391.99543598175,440,493.88330125613,523.2511306012],"description":"Lydian octave species on E, major mode, 12 + 12 + 6 parts"},"arist_diatred":{"frequencies":[261.6255653006,299.37379946195,342.56848033562,349.22823143301,391.99543598175,448.5538823653,513.27277840175,523.2511306012],"description":"Aristo Redup. Diatonic, Dorian Mode, 14 + 14 + 2 parts"},"arist_diatred2":{"frequencies":[261.6255653006,271.89678302796,308.14612137864,349.22823143301,391.99543598175,407.38487419079,461.69751437372,523.2511306012],"description":"PsAristo 2 Redup. Diatonic 2, 4 + 13 + 13 parts"},"arist_diatred3":{"frequencies":[261.6255653006,282.57123920205,314.13668154225,349.22823143301,391.99543598175,423.37848741825,470.6732130613,523.2511306012],"description":"PsAristo 3 Redup. Diatonic, 8 + 11 + 11 parts"},"arist_enh":{"frequencies":[261.6255653006,269.29177952703,277.18263097687,349.22823143301,391.99543598175,403.48177901006,415.30469757995,523.2511306012],"description":"Aristoxenos' Enharmonion, Dorian mode"},"arist_enh2":{"frequencies":[261.6255653006,270.59109411209,279.86402025325,349.22823143301,391.99543598175,405.42855124795,419.32224210861,523.2511306012],"description":"PsAristo 2 Enharmonic, 3.5 + 3.5 + 23 parts"},"arist_enh3":{"frequencies":[261.6255653006,267.99870394401,274.52693220706,349.22823143301,391.99543598175,401.54435471309,411.32564531909,523.2511306012],"description":"PsAristo Enharmonic, 2.5 + 2.5 + 25 parts"},"arist_hemchrom":{"frequencies":[261.6255653006,273.20871865617,285.30470202322,349.22823143301,391.99543598175,409.35055662695,427.47405410759,523.2511306012],"description":"Aristoxenos's Chromatic Hemiolion, Dorian Mode"},"arist_hemchrom2":{"frequencies":[261.6255653006,273.20871865617,293.66476791741,349.22823143301,391.99543598175,409.35055662695,440,523.2511306012],"description":"PsAristo C/H Chromatic, 4.5 + 7.5 + 18 parts"},"arist_hemchrom3":{"frequencies":[261.6255653006,271.81876914348,282.83844897362,348.83408706747,392.4383479509,407.72815371522,424.25767346043,523.2511306012],"description":"Dorian mode of Aristoxenos' Hemiolic Chromatic according to Ptolemy's interpret"},"arist_hypenh2":{"frequencies":[261.6255653006,267.3544191957,273.20871865617,349.22823143301,391.99543598175,400.57901831518,409.35055662695,523.2511306012],"description":"PsAristo 2nd Hyperenharmonic, 37.5 + 37.5 + 425 cents"},"arist_hypenh3":{"frequencies":[261.6255653006,265.43099677612,269.29177952703,349.22823143301,391.99543598175,397.69714089209,403.48177901006,523.2511306012],"description":"PsAristo 3 Hyperenharmonic, 1.5 + 1.5 + 27 parts"},"arist_hypenh4":{"frequencies":[261.6255653006,266.71168334607,271.8968348557,349.22823143301,391.99543598175,399.61600264311,407.38495184466,523.2511306012],"description":"PsAristo 4 Hyperenharmonic, 2 + 2 + 26 parts"},"arist_hypenh5":{"frequencies":[261.6255653006,265.12453591719,268.67030163715,349.22823143301,391.99543598175,397.23796841836,402.55061428954,523.2511306012],"description":"PsAristo Hyperenharmonic, 23 + 23 + 454 cents"},"arist_intdiat":{"frequencies":[261.6255653006,275.39533189537,307.79478270659,348.83408706747,392.4383479509,413.09299784305,461.69217405988,523.2511306012],"description":"Dorian mode of Aristoxenos's Intense Diatonic according to Ptolemy"},"arist_penh2":{"frequencies":[261.6255653006,269.29177952703,339.28638158975,349.22823143301,391.99543598175,403.48177901006,508.3551866238,523.2511306012],"description":"Permuted Aristoxenos's Enharmonion, 3 + 24 + 3 parts"},"arist_penh3":{"frequencies":[261.6255653006,329.62755691287,339.28638158975,349.22823143301,391.99543598175,493.88330125613,508.3551866238,523.2511306012],"description":"Permuted Aristoxenos's Enharmonion, 24 + 3 + 3 parts"},"arist_pschrom2":{"frequencies":[261.6255653006,278.52001838539,296.50560089735,349.22823143301,391.99543598175,417.30851459865,444.25644015807,523.2511306012],"description":"PsAristo 2 Chromatic, 6.5 + 6.5 + 17 parts"},"arist_softchrom":{"frequencies":[261.6255653006,271.89678302796,282.57123920205,349.22823143301,391.99543598175,407.38487419079,423.37848741825,523.2511306012],"description":"Aristoxenos's Chromatic Malakon, Dorian Mode"},"arist_softchrom2":{"frequencies":[261.6255653006,277.18263097687,324.90175210669,349.22823143301,391.99543598175,415.30469757995,486.80259447109,523.2511306012],"description":"Aristoxenos' Soft Chromatic, 6 + 16.5 + 9.5 parts"},"arist_softchrom3":{"frequencies":[261.6255653006,281.2143451833,329.62755691287,349.22823143301,391.99543598175,421.34544350737,493.88330125613,523.2511306012],"description":"Aristoxenos's Chromatic Malakon, 9.5 + 16.5 + 6 parts"},"arist_softchrom4":{"frequencies":[261.6255653006,277.18263097687,297.93622032612,349.22823143301,391.99543598175,415.30469757995,446.39994737251,523.2511306012],"description":"PsAristo S. 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temperament, g=132.194511, 5-limit"},"athan_chrom":{"frequencies":[261.6255653006,285.30470202322,329.62755691287,349.22823143301,391.99543598175,427.47405410759,493.88330125613,523.2511306012],"description":"Athanasopoulos's Byzantine Liturgical mode Chromatic"},"auftetf":{"frequencies":[261.6255653006,264.29521392612,269.80136421624,287.78812183066,359.73515228832,380.54627680087,384.42940207435,392.4383479509,418.60090448096],"description":"5/4 C.I. again"},"augmented":{"frequencies":[261.6255653006,312.71213182188,329.62755691287,393.99259743989,415.30469757995,496.39956701727,523.2511306012],"description":"Augmented temperament, g=91.2, oct=1/3, 5-limit"},"augteta":{"frequencies":[261.6255653006,280.76889934699,302.93486508491,328.90071066361,359.73515228832,380.54627680087,408.39112632289,440.63253103259,478.40103369253],"description":"Linear Division of the 11/8, duplicated on the 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A gapped version of this scale is called AugTetI"},"augtetj":{"frequencies":[261.6255653006,287.78812183066,319.76457981184,359.73515228832,380.54627680087,428.11456140098,475.68284600109],"description":"9/8 C.I. comprised of 11:10:9:8 subharmonic series on 1 and 8:9:10:11 on 16/11"},"augtetk":{"frequencies":[261.6255653006,294.32876096318,327.03195662575,359.73515228832,380.54627680087,418.60090448096,465.11211608996],"description":"9/8 C.I. This is the converse form of AugTetJ"},"augtetl":{"frequencies":[261.6255653006,294.32876096318,327.03195662575,359.73515228832,380.54627680087,428.11456140098,475.68284600109],"description":"9/8 C.I. This is the harmonic form of AugTetI"},"avg_bac":{"frequencies":[261.6255653006,290.69507255622,307.79478270659,348.83408706747,392.4383479509,436.04260883433,461.69217405988,523.2511306012],"description":"Average Bac System"},"avicenna":{"frequencies":[261.6255653006,290.69507255622,299.00064605783,348.83408706747,392.4383479509,436.04260883433,448.50096908674,523.2511306012],"description":"Soft diatonic of Avicenna (Ibn Sina)"},"avicenna_17":{"frequencies":[261.6255653006,278.99913799634,283.42769574232,294.32876096318,310.07474405997,318.85615771011,331.11985608357,348.83408706747,371.99885066179,377.90359432309,392.4383479509,413.43299207996,425.14154361347,441.49314144476,465.11211608996,495.99846754905,503.87145909745,523.2511306012],"description":"Tuning by Avicenna (Ibn Sina), Ahmed Mahmud Hifni, Cairo, 1977"},"avicenna_19":{"frequencies":[261.6255653006,275.62199471997,283.49690885483,294.32876096318,310.07474405997,326.6631048533,331.11985608357,348.83408706747,358.80077526939,372.50983809402,377.99587847311,392.4383479509,413.43299207996,425.24536328225,441.49314144476,465.11211608996,478.40103369253,496.67978412536,503.45611792634,523.2511306012],"description":"Arabic scale by Ibn Sina"},"avicenna_chrom":{"frequencies":[261.6255653006,269.10058145205,299.00064605783,348.83408706747,392.4383479509,403.65087217807,448.50096908674,523.2511306012],"description":"Dorian mode a chromatic genus of Avicenna"},"avicenna_chrom2":{"frequencies":[261.6255653006,271.8968348557,323.34165055711,349.22823143301,391.99543598175,407.38495184466,484.46508327871,523.2511306012],"description":"Dorian Mode, a 1:2 Chromatic, 4 + 18 + 8 parts"},"avicenna_chrom3":{"frequencies":[261.6255653006,290.69507255622,339.14425131559,348.83408706747,392.4383479509,436.04260883433,508.71637697339,523.2511306012],"description":"Avicenna's Chromatic permuted"},"avicenna_diat":{"frequencies":[261.6255653006,281.75060878526,305.22982618403,348.83408706747,392.4383479509,422.62591317789,457.84473927605,523.2511306012],"description":"Dorian mode a soft diatonic genus of Avicenna"},"avicenna_diff":{"frequencies":[261.6255653006,269.80136421624,286.15296204753,294.32876096318,310.68035879446,343.38355445704,367.91095120397,392.4383479509,400.61414686654,441.49314144476,457.84473927605,515.07533168556,523.2511306012],"description":"Difference tones of Avicenna's Soft diatonic reduced by 2/1"},"avicenna_enh":{"frequencies":[261.6255653006,268.33391312882,279.06726965397,348.83408706747,392.4383479509,402.50086969323,418.60090448096,523.2511306012],"description":"Dorian mode of Avicenna's (Ibn Sina) Enharmonic genus"},"awad":{"frequencies":[261.6255653006,268.33391312882,275.39533189537,282.83844897362,290.69507255622,299.00064605783,307.79478270659,317.12189733406,327.03195662575,337.58137458142,348.83408706747,358.80077526939,369.35373924791,380.54627680087,392.4383479509,402.50086969323,413.09299784305,424.25767346043,436.04260883433,448.50096908674,461.69217405988,475.68284600109,490.54793493862,506.37206187213,523.2511306012],"description":"d'Erlanger vol.5, p.37, after Mans.ur 'Awad"},"awraamoff":{"frequencies":[261.6255653006,294.32876096318,299.00064605783,313.95067836072,327.03195662575,343.38355445704,348.83408706747,392.4383479509,418.60090448096,448.50096908674,457.84473927605,490.54793493862,523.2511306012],"description":"Awraamoff Septimal Just"},"ayers":{"frequencies":[261.6255653006,268.89294211451,276.57559760349,284.71017400359,293.33775503401,302.50455987882,312.26277148781,322.67153053741,333.7981350387,345.71949700436,358.52392281934,372.31330446624,387.20583664489,403.33941317176,420.87590939662,440.00663255101,460.95932933915,484.00729580611,509.48136400643,537.78588422901,569.42034800719,605.00911975764,645.34306107481,691.43899400873,744.62660893248,806.67882634352,880.01326510202,968.01459161222,1075.57176845802,1210.01823951527,1382.87798801746,1613.35765268703,1936.02918322444,2420.03647903055,3226.71530537407,4840.0729580611,9680.1459161222],"description":"Lydia Ayers, algorithmic composition, subharmonics 1-37"},"ayers_19":{"frequencies":[261.6255653006,268.89294211451,276.57559760349,284.71017400359,293.33775503401,302.50455987882,312.26277148781,322.67153053741,333.7981350387,345.71949700436,358.52392281934,372.31330446624,387.20583664489,403.33941317176,420.87590939662,440.00663255101,460.95932933915,484.00729580611,509.48136400643,523.2511306012],"description":"Scale for NINETEEN, for 19 for the 90's CD. Repeats at 37/19 (or 2/1)"},"ayers_ap":{"frequencies":[261.6255653006,299.00064605783,336.37572681506,388.70083987518,448.50096908674,523.2511306012],"description":"Lydia Ayers' Appetizer, ICMC 96, Balinese Slendro from Singaraja,"},"ayers_me":{"frequencies":[261.6255653006,280.31310567921,299.00064605783,308.34441624714,336.37572681506,392.4383479509,420.46965851882,448.50096908674,504.56359022259,523.2511306012],"description":"Scale for Merapi (1996), Lydia Ayers. Slendro 0 2 4 5 7 9, Pelog 0 1 3 6 8 9"},"h10_27":{"frequencies":[261.6255653006,281.00523680435,300.3849083081,319.76457981184,348.83408706747,368.21375857121,397.28326582684,426.35277308246,455.42228033808,484.4917875937,523.2511306012],"description":"10-tET harmonic approximation, fundamental=27"},"h12_24":{"frequencies":[261.6255653006,272.52663052146,294.32876096318,316.13089140489,327.03195662575,348.83408706747,370.63621750918,392.4383479509,414.24047839262,436.04260883433,468.74580449691,490.54793493862,523.2511306012],"description":"12-tET harmonic approximation, fundamental=24"},"h14_27":{"frequencies":[261.6255653006,271.31540105247,290.69507255622,300.3849083081,319.76457981184,339.14425131559,348.83408706747,368.21375857121,387.59343007496,406.97310157871,426.35277308246,455.42228033808,474.80195184183,494.18162334558,523.2511306012],"description":"14-tET harmonic approximation, fundamental=27"},"h15_24":{"frequencies":[261.6255653006,272.52663052146,283.42769574232,305.22982618403,316.13089140489,327.03195662575,348.83408706747,359.73515228832,381.53728273004,392.4383479509,414.24047839262,436.04260883433,457.84473927605,479.64686971777,501.44900015948,523.2511306012],"description":"15-tET harmonic approximation, fundamental=24"},"hahn9":{"frequencies":[261.6255653006,286.15296204753,313.95067836072,327.03195662575,366.27579142084,392.4383479509,418.60090448096,457.84473927605,490.54793493862,523.2511306012],"description":"Paul Hahn's just version of 9 out of 31 scale. TL 6-8-'98"},"hahn_7":{"frequencies":[261.6255653006,274.70684356563,305.22982618403,313.95067836072,327.03195662575,348.83408706747,366.27579142084,392.4383479509,418.60090448096,436.04260883433,457.84473927605,488.36772189445,523.2511306012],"description":"Paul Hahn's scale with 32 consonant 7-limit dyads. TL '99, see also smithgw_hahn12"},"hahn_g":{"frequencies":[261.6255653006,280.50183143454,294.66523452594,309.54379154736,331.87735433448,348.63486612079,373.78884718875,392.66259958718,420.99317852788,442.25042328711,464.58101193362,498.10049926644,523.2511306012],"description":"fourth of sqrt(2)-1 octave \"recursive\" meantone, Paul Hahn"},"hahnmaxr":{"frequencies":[261.6255653006,275.93321340298,306.59245933664,313.95067836072,327.03195662575,348.83408706747,367.91095120397,392.4383479509,418.60090448096,436.04260883433,459.88868900496,490.54793493862,523.2511306012],"description":"Paul Hahn's hahn_7 marvel projected to the 5-limit"},"halfefg357777":{"frequencies":[261.6255653006,280.31310567921,299.00064605783,320.35783506196,341.71502406609,375.57576268738,400.61414686654,429.2294430713,457.84473927605,490.54793493862,523.2511306012],"description":"Half genus [357777]"},"hamilton":{"frequencies":[261.6255653006,274.08392555301,287.78812183066,302.93486508491,319.76457981184,338.57426097725,359.73515228832,383.71749577421,411.12588832951,426.35277308246,442.75095666255,479.64686971777,523.2511306012],"description":"Elsie Hamilton's gamut, from article The Modes of Ancient Greek Music (1953)"},"hamilton_jc":{"frequencies":[261.6255653006,274.08392555301,287.78812183066,302.93486508491,319.76457981184,359.73515228832,338.57426097725,411.12588832951,383.71749577421,442.75095666255,426.35277308246,479.64686971777,523.2511306012],"description":"Chalmers' permutation of Hamilton's gamut. Diatonic notes on white"},"hamilton_jc2":{"frequencies":[261.6255653006,274.08392555301,287.78812183066,302.93486508491,319.76457981184,359.73515228832,383.71749577421,411.12588832951,426.35277308246,442.75095666255,460.46099492906,479.64686971777,523.2511306012],"description":"EH gamut, diatonic notes on white and drops 17 for 25. JC Dorian Harmonia on C"},"hammond":{"frequencies":[261.6255653006,226.52945288223,240.12209418,254.35818848669,269.43528366778,285.40970760065,302.50455987882,320.49131749323,339.40613876835,359.73515228832,381.06332337261,403.65087217807,427.65717404906,453.05890576445],"description":"Hammond organ pitch wheel ratios, 1/1=320 Hz. Do \"del 0\" to get 12-tone scale"},"hammond12":{"frequencies":[261.6255653006,277.32410877127,293.76579515365,311.17877832054,329.62811300357,349.37146352202,370.1449018936,391.99018843668,415.46876743159,440.10130305006,466.18833124791,493.91391932426,523.2511306012],"description":"Hammond organ scale, 1/1=277.0731707 Hz, A=440, see hammond for the ratios"},"handblue":{"frequencies":[261.6255653006,279.06726965397,294.32876096318,305.22982618403,327.03195662575,348.83408706747,366.27579142084,392.4383479509,406.97310157871,436.04260883433,457.84473927605,490.54793493862,523.2511306012],"description":"\"Handy Blues\" of Pitch Palette, 7-limit"},"handel":{"frequencies":[261.6255653006,276.07055536165,292.89641271707,310.57937447136,328.79480940231,349.02322090701,368.4933346061,391.37619916626,414.10583283548,438.86859125239,465.61660972366,492.3908742288,523.2511306012],"description":"Well temperament according to Georg Friedrich H�ndel's rules (c. 1780)"},"hanson_19":{"frequencies":[261.6255653006,272.52663052146,282.55561052465,294.32876096318,302.80736724606,313.95067836072,327.03195662575,340.65828815182,348.83408706747,363.36884069528,376.74081403286,392.4383479509,408.78994578219,418.60090448096,436.04260883433,454.2110508691,470.92601754108,490.54793493862,502.32108537715,523.2511306012],"description":"JI version of Hanson's 19 out of 53-tET scale"},"harm-doreninv1":{"frequencies":[261.6255653006,321.08592105074,327.03195662575,332.97799220076,380.54627680087,499.46698830115,511.35905945117,523.2511306012],"description":"1st Inverted Schlesinger's Enharmonic Dorian Harmonia"},"harm-dorinv1":{"frequencies":[261.6255653006,309.19384990071,321.08592105074,332.97799220076,380.54627680087,475.68284600109,499.46698830115,523.2511306012],"description":"1st Inverted Schlesinger's Chromatic Dorian Harmonia"},"harm-lydchrinv1":{"frequencies":[261.6255653006,322.00069575458,342.12573923925,362.25078272391,402.50086969323,483.00104363188,503.12608711654,523.2511306012],"description":"1st Inverted Schlesinger's Chromatic Lydian Harmonia"},"harm-lydeninv1":{"frequencies":[261.6255653006,342.12573923925,352.18826098158,362.25078272391,402.50086969323,503.12608711654,513.18860885887,523.2511306012],"description":"1st Inverted Schlesinger's Enharmonic Lydian Harmonia"},"harm-mixochrinv1":{"frequencies":[261.6255653006,336.37572681506,355.06326719367,373.75080757229,411.12588832951,485.87604984397,504.56359022259,523.2511306012],"description":"1st Inverted Schlesinger's Chromatic Mixolydian Harmonia"},"harm-mixoeninv1":{"frequencies":[261.6255653006,355.06326719367,364.40703738298,373.75080757229,411.12588832951,504.56359022259,513.90736041189,523.2511306012],"description":"1st Inverted Schlesinger's Enharmonic Mixolydian Harmonia"},"harm10":{"frequencies":[261.6255653006,286.15296204753,294.32876096318,327.03195662575,331.11985608357,343.38355445704,367.91095120397,392.4383479509,400.61414686654,408.78994578219,441.49314144476,457.84473927605,515.07533168556,523.2511306012],"description":"6/7/8/9/10 harmonics"},"harm11s":{"frequencies":[261.6255653006,65.40639132515,95.13656920022,104.65022612024,116.27802902249,130.8127826503,149.50032302891,174.41704353373,196.21917397545,209.30045224048,261.6255653006,327.03195662575,348.83408706747,392.4383479509,457.84473927605,523.2511306012,588.65752192635,654.0639132515,719.47030457665,1046.5022612024],"description":"Harm. 1/4-11/4 and subh. 4/1-4/11. Joseph Pehrson 1999"},"harm12s":{"frequencies":[261.6255653006,294.32876096318,299.00064605783,327.03195662575,348.83408706747,359.73515228832,380.54627680087,392.4383479509,418.60090448096,457.84473927605,465.11211608996,523.2511306012],"description":"Harmonics 1 to 12 and subharmonics mixed"},"harm15-30":{"frequencies":[261.6255653006,279.06726965397,296.50897400735,313.95067836072,331.39238271409,348.83408706747,366.27579142084,383.71749577421,418.60090448096,436.04260883433,453.48431318771,488.36772189445,523.2511306012],"description":"Harmonics 15 to 30"},"harm15":{"frequencies":[261.6255653006,277.97716313189,294.32876096318,310.68035879446,327.03195662575,343.38355445704,359.73515228832,376.08675011961,392.4383479509,408.78994578219,425.14154361347,441.49314144476,457.84473927605,474.19633710734,490.54793493862,506.89953276991],"description":"Fifth octave of the harmonic overtone 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subharmonics"},"harm1c-dorian":{"frequencies":[261.6255653006,309.19384990071,321.08592105074,332.97799220076,380.54627680087,475.68284600109,499.46698830115,523.2511306012],"description":"Harm1C-Dorian"},"harm1c-hypod":{"frequencies":[261.6255653006,327.03195662575,343.38355445704,359.73515228832,376.08675011961,392.4383479509,457.84473927605,490.54793493862,523.2511306012],"description":"HarmC-Hypodorian"},"harm1c-hypol":{"frequencies":[261.6255653006,274.70684356563,287.78812183066,340.11323489078,366.27579142084,392.4383479509,418.60090448096,444.76346101102,523.2511306012],"description":"HarmC-Hypolydian"},"harm1c-lydian":{"frequencies":[261.6255653006,271.68808704293,281.75060878526,362.25078272391,382.37582620857,402.50086969323,422.62591317789,442.75095666255,523.2511306012],"description":"Harm1C-Lydian"},"harm1c-mix":{"frequencies":[261.6255653006,299.00064605783,373.75080757229,392.4383479509,411.12588832951,485.87604984397,504.56359022259,523.2511306012],"description":"Harm1C-Con 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series"},"harm30-60":{"frequencies":[261.6255653006,270.34641747729,279.06726965397,287.78812183066,296.50897400735,305.22982618403,313.95067836072,322.67153053741,331.39238271409,340.11323489078,348.83408706747,357.55493924415,366.27579142084,374.99664359753,383.71749577421,392.4383479509,401.15920012759,409.88005230427,418.60090448096,427.32175665765,436.04260883433,444.76346101102,453.48431318771,462.20516536439,470.92601754108,479.64686971777,488.36772189445,497.08857407114,505.80942624783,514.53027842451,523.2511306012],"description":"Harmonics 30-60"},"harm30":{"frequencies":[261.6255653006,279.06726965397,288.69027895239,299.00064605783,310.07474405997,322.00069575458,334.88072358477,348.83408706747,364.00078650518,398.6675280771,418.60090448096,440.63253103259,465.11211608996,492.47165233054,523.2511306012,558.13453930795,598.00129211566,644.00139150917,697.66817413493,761.09255360175,837.20180896192,930.22423217991,1046.5022612024,1196.00258423131,1395.33634826987,1674.40361792384,2093.0045224048,2790.67269653973,4186.0090448096,8372.0180896192,8633.6436549198,8895.2692202204,9156.894785521,9418.5203508216,9680.1459161222,9941.7714814228,10203.3970467234,10465.022612024,10726.6481773246,10988.2737426252,11249.8993079258,11511.5248732264,11773.150438527,12034.7760038276,12296.4015691282,12558.0271344288,12819.6526997294,13081.27826503,13342.9038303306,13604.5293956312,13866.1549609318,14127.7805262324,14389.406091533,14651.0316568336,14912.6572221342,15174.2827874348,15435.9083527354,15697.533918036,15959.1594833366,16220.7850486372],"description":"First 30 harmonics and subharmonics"},"harm32-64":{"frequencies":[261.6255653006,269.80136421624,277.97716313189,286.15296204753,294.32876096318,302.50455987882,310.68035879446,318.85615771011,327.03195662575,335.20775554139,343.38355445704,351.55935337268,359.73515228832,367.91095120397,376.08675011961,384.26254903526,392.4383479509,400.61414686654,408.78994578219,416.96574469783,425.14154361347,433.31734252912,441.49314144476,449.66894036041,457.84473927605,466.02053819169,474.19633710734,482.37213602298,490.54793493862,498.72373385427,506.89953276991,515.07533168556,523.2511306012],"description":"Harmonics 32-64"},"harm37odd":{"frequencies":[261.6255653006,269.80136421624,277.97716313189,286.15296204753,294.32876096318,302.50455987882,310.68035879446,327.03195662575,343.38355445704,359.73515228832,376.08675011961,392.4383479509,408.78994578219,425.14154361347,441.49314144476,457.84473927605,474.19633710734,490.54793493862,506.89953276991,523.2511306012],"description":"Odd harmonics until 37"},"harm4":{"frequencies":[261.6255653006,294.32876096318,327.03195662575,359.73515228832,392.4383479509,425.14154361347,457.84473927605,490.54793493862],"description":"Fourth octave of the harmonic overtone series"},"harm6-12":{"frequencies":[261.6255653006,269.80136421624,286.15296204753,294.32876096318,314.76825825228,327.03195662575,331.11985608357,343.38355445704,359.73515228832,367.91095120397,392.4383479509,400.61414686654,404.70204632437,408.78994578219,441.49314144476,449.66894036041,457.84473927605,490.54793493862,494.63583439645,515.07533168556,523.2511306012],"description":"First 12 harmonics of 6th through 12th harmonics"},"harm6":{"frequencies":[261.6255653006,294.32876096318,327.03195662575,359.73515228832,392.4383479509,457.84473927605,523.2511306012],"description":"Harmonics 6-12"},"harm60-30":{"frequencies":[261.6255653006,280.31310567921,290.69507255622,313.95067836072,327.03195662575,348.83408706747,373.75080757229,392.4383479509,413.09299784305,436.04260883433,448.50096908674,490.54793493862,523.2511306012],"description":"Harmonics 60 to 30 (Perkis)"},"harm7lim":{"frequencies":[261.6255653006,523.2511306012,784.8766959018,1046.5022612024,1308.127826503,1569.7533918036,1831.3789571042,2093.0045224048,2354.6300877054,2616.255653006,3139.5067836072,3662.7579142084,3924.383479509,4186.0090448096,4709.2601754108,5232.511306012,5494.1368713126,5755.7624366132,6279.0135672144,6540.639132515,7325.5158284168,7848.766959018,8372.0180896192,9156.894785521,9418.5203508216,10465.022612024,10988.2737426252,11773.150438527,12558.0271344288,12819.6526997294,13081.27826503,14651.0316568336,15697.533918036,16482.4106139378,16744.0361792384,18313.789571042,18837.0407016432,19621.917397545,20930.045224048,21191.6707893486,21976.5474852504,23546.300877054,25116.0542688576,25639.3053994588,26162.55653006,27470.684356563,29302.0633136672,31395.067836072],"description":"7-limit harmonics"},"harm8":{"frequencies":[261.6255653006,294.32876096318,327.03195662575,359.73515228832,392.4383479509,425.14154361347,457.84473927605,490.54793493862,523.2511306012],"description":"Harmonics 8-16"},"harm9":{"frequencies":[261.6255653006,294.32876096318,305.22982618403,327.03195662575,348.83408706747,356.10146388137,392.4383479509,406.97310157871,457.84473927605,465.11211608996,523.2511306012],"description":"6/7/8/9 harmonics, First 9 overtones of 5th through 9th harmonics"},"harm_bastard":{"frequencies":[261.6255653006,299.00064605783,322.00069575458,348.83408706747,380.54627680087,418.60090448096,465.11211608996,523.2511306012],"description":"Schlesinger's \"Bastard\" Hypodorian Harmonia & inverse 1)7 from 1.3.5.7.9.11.13"},"harm_bastinv":{"frequencies":[261.6255653006,294.32876096318,327.03195662575,359.73515228832,392.4383479509,425.14154361347,457.84473927605,523.2511306012],"description":"Inverse Schlesinger's \"Bastard\" Hypodorian Harmonia & 1)7 from 1.3.5.7.9.11.13"},"harm_darreg":{"frequencies":[261.6255653006,1046.5022612024,1308.127826503,1569.7533918036,1831.3789571042,2093.0045224048,2354.6300877054,2616.255653006,2877.8812183066,3139.5067836072,3401.1323489078,3662.7579142084,3924.383479509,4186.0090448096,5232.511306012,6279.0135672144,7325.5158284168,8372.0180896192,9418.5203508216,10465.022612024,11511.5248732264,12558.0271344288,13604.5293956312,14651.0316568336,15697.533918036],"description":"Darreg Harmonics 4-15"},"harm_mean":{"frequencies":[261.6255653006,270.06509966514,279.06726965397,299.00064605783,348.83408706747,392.4383479509,405.0976494977,418.60090448096,448.50096908674,523.2511306012],"description":"Harm. Mean 9-tonic 8/7 is HM of 1/1 and 4/3, etc."},"harmc-hypop":{"frequencies":[261.6255653006,319.76457981184,334.29933343966,348.83408706747,363.36884069528,377.90359432309,406.97310157871,465.11211608996,494.18162334558,523.2511306012],"description":"HarmC-Hypophrygian"},"harmd-15":{"frequencies":[261.6255653006,279.06726965397,313.95067836072,348.83408706747,383.71749577421,418.60090448096,453.48431318771,523.2511306012],"description":"HarmD-15-Harmonia"},"harmd-conmix":{"frequencies":[261.6255653006,299.00064605783,336.37572681506,392.4383479509,411.12588832951,448.50096908674,485.87604984397,523.2511306012],"description":"HarmD-ConMixolydian"},"harmd-hypod":{"frequencies":[261.6255653006,294.32876096318,327.03195662575,359.73515228832,376.08675011961,392.4383479509,425.14154361347,457.84473927605,490.54793493862,523.2511306012],"description":"HarmD-Hypodorian"},"harmd-hypol":{"frequencies":[261.6255653006,287.78812183066,313.95067836072,340.11323489078,366.27579142084,392.4383479509,418.60090448096,470.92601754108,523.2511306012],"description":"HarmD-Hypolydian"},"harmd-hypop":{"frequencies":[261.6255653006,290.69507255622,319.76457981184,348.83408706747,363.36884069528,377.90359432309,406.97310157871,436.04260883433,465.11211608996,523.2511306012],"description":"HarmD-Hypophrygian"},"harmd-lyd":{"frequencies":[261.6255653006,281.75060878526,301.87565226992,322.00069575458,362.25078272391,382.37582620857,402.50086969323,442.75095666255,483.00104363188,523.2511306012],"description":"HarmD-Lydian"},"harmd-mix":{"frequencies":[261.6255653006,299.00064605783,336.37572681506,373.75080757229,411.12588832951,448.50096908674,485.87604984397,523.2511306012],"description":"HarmD-Mixolydian. Harmonics 7-14"},"harmd-phr":{"frequencies":[261.6255653006,272.52663052146,283.42769574232,294.32876096318,305.22982618403,348.83408706747,327.03195662575,392.4383479509,414.24047839262,436.04260883433,457.84473927605,479.64686971777,523.2511306012],"description":"HarmD-Phryg (with 5 extra tones)"},"harme-hypod":{"frequencies":[261.6255653006,343.38355445704,351.55935337268,359.73515228832,376.08675011961,392.4383479509,490.54793493862,506.89953276991,523.2511306012],"description":"HarmE-Hypodorian"},"harme-hypol":{"frequencies":[261.6255653006,281.24748269815,274.70684356563,340.11323489078,366.27579142084,392.4383479509,405.51962621593,418.60090448096,523.2511306012],"description":"HarmE-Hypolydian"},"harme-hypop":{"frequencies":[261.6255653006,334.29933343966,341.56671025356,348.83408706747,363.36884069528,377.90359432309,406.97310157871,494.18162334558,508.71637697339,523.2511306012],"description":"HarmE-Hypophrygian"},"harmjc-15":{"frequencies":[261.6255653006,280.31310567921,301.87565226992,313.95067836072,327.03195662575,356.76213450082,373.75080757229,392.4383479509,413.09299784305,436.04260883433,461.69217405988,490.54793493862,523.2511306012],"description":"Rationalized JC Sub-15 Harmonia on C. MD=15, No planetary assignment."},"harmjc-17-2":{"frequencies":[261.6255653006,277.97716313189,296.50897400735,317.68818643644,342.12573923925,370.63621750918,386.75083566176,404.33041910093,423.58424858192,444.76346101102,468.17206422213,494.18162334558,523.2511306012],"description":"Rationalized JC Sub-17 Harmonia on C. MD=17, No planetary assignment."},"harmjc-17":{"frequencies":[261.6255653006,269.55361273395,277.97716313189,296.50897400735,317.68818643644,342.12573923925,355.81076880882,370.63621750918,386.75083566176,404.33041910093,423.58424858192,444.76346101102,523.2511306012],"description":"Rationalized JC Sub-17 Harmonia on C. MD=17, No planetary assignment."},"harmjc-19-2":{"frequencies":[261.6255653006,276.16031892841,292.40504357126,310.68035879446,331.39238271409,355.06326719367,368.21375857121,382.37582620857,397.67085925691,414.24047839262,432.2509339749,451.89870370104,523.2511306012],"description":"Rationalized JC Sub-19 Harmonia on C. MD=19, No planetary assignment."},"harmjc-19":{"frequencies":[261.6255653006,276.16031892841,292.40504357126,310.68035879446,331.39238271409,355.06326719367,382.37582620857,414.24047839262,432.2509339749,451.89870370104,473.41768959156,497.08857407114,523.2511306012],"description":"Rationalized JC Sub-19 Harmonia on C. MD=19, No planetary assignment."},"harmjc-21":{"frequencies":[261.6255653006,268.0066766494,274.70684356563,289.16509849014,305.22982618403,343.38355445704,366.27579142084,392.4383479509,406.97310157871,422.62591317789,439.53094970501,457.84473927605,523.2511306012],"description":"Rationalized JC Sub-21 Harmonia on C. MD=21, No planetary assignment."},"harmjc-23-2":{"frequencies":[261.6255653006,273.51763645063,286.54228580542,300.86940009569,316.70463167967,334.29933343966,353.96400011258,376.08675011961,401.15920012759,429.81342870813,462.87600014722,501.44900015948,523.2511306012],"description":"Rationalized JC Sub-23 Harmonia on C. MD=23, No planetary assignment."},"harmjc-23":{"frequencies":[261.6255653006,273.51763645063,300.86940009569,316.70463167967,334.29933343966,376.08675011961,401.15920012759,429.81342870813,445.73244458621,462.87600014722,481.3910401531,501.44900015948,523.2511306012],"description":"Rationalized JC Sub-23 Harmonia on C. MD=23, No planetary assignment."},"harmjc-25":{"frequencies":[261.6255653006,272.52663052146,297.30177875068,311.45900631024,327.03195662575,363.36884069528,384.74347838324,408.78994578219,436.04260883433,467.18850946536,484.4917875937,503.12608711654,523.2511306012],"description":"Rationalized JC Sub-25 Harmonia on C. MD=25, No planetary assignment."},"harmjc-27":{"frequencies":[261.6255653006,271.68808704293,294.32876096318,307.12566361375,321.08592105074,353.19451315581,371.78369805875,392.4383479509,415.52295665389,441.49314144476,470.92601754108,504.56359022259,523.2511306012],"description":"Rationalized JC Sub-27 Harmonia on C. MD=27, No planetary assignment."},"harmjc-hypod16":{"frequencies":[261.6255653006,279.06726965397,299.00064605783,310.07474405997,322.00069575458,348.83408706747,364.00078650518,380.54627680087,398.6675280771,418.60090448096,440.63253103259,465.11211608996,523.2511306012],"description":"Rationalized JC Hypodorian Harmonia on C. Saturn Scale on C, MD=16. (Steiner)"},"harmjc-hypol20":{"frequencies":[261.6255653006,275.39533189537,290.69507255622,307.79478270659,327.03195662575,348.83408706747,373.75080757229,402.50086969323,418.60090448096,436.04260883433,455.00098313148,575.57624366132,523.2511306012],"description":"Rationalized JC Hypolydian Harmonia on C. Mars scale on C., MD=20"},"harmjc-hypop18":{"frequencies":[261.6255653006,277.01530443593,294.32876096318,313.95067836072,336.37572681506,362.25078272391,376.74081403286,392.4383479509,409.50088481833,428.11456140098,448.50096908674,470.92601754108,523.2511306012],"description":"Rationalized JC Hypophrygian Harmonia on C. Jupiter scale on C, MD =18"},"harmjc-lydian13":{"frequencies":[261.6255653006,272.09058791262,283.42769574232,295.75063903546,309.19384990071,340.11323489078,358.01393146398,377.90359432309,400.13321751856,425.14154361347,453.48431318771,485.87604984397,523.2511306012],"description":"Rationalized JC Lydian Harmonia on C. Mercury scale on C, MD = 26 or 13"},"harmjc-mix14":{"frequencies":[261.6255653006,271.31540105247,281.75060878526,293.02063313667,305.22982618403,332.97799220076,348.83408706747,366.27579142084,385.55346465352,406.97310157871,430.91269578922,457.84473927605,523.2511306012],"description":"Rationalized JC Mixolydian Harmonia on C. Moon Scale on C, MD = 14"},"harmjc-phryg12":{"frequencies":[261.6255653006,273.00058987889,285.40970760065,299.00064605783,313.95067836072,348.83408706747,369.35373924791,392.4383479509,418.60090448096,448.50096908674,465.11211608996,483.00104363188,523.2511306012],"description":"Rationalized JC Phrygian Harmonia on C. Venus scale on C, MD = 24 or 12"},"harmonical":{"frequencies":[261.6255653006,290.69507255622,294.32876096318,313.95067836072,327.03195662575,348.83408706747,392.4383479509,418.60090448096,436.04260883433,457.84473927605,470.92601754108,490.54793493862,523.2511306012],"description":"See pp 17 and 466-468 Helmholtz. lower 4 oct. Instr. designed & tuned by Ellis"},"harmonical_up":{"frequencies":[261.6255653006,277.97716313189,294.32876096318,310.68035879446,327.03195662575,359.73515228832,457.84473927605,392.4383479509,408.78994578219,425.14154361347,474.19633710734,490.54793493862,523.2511306012],"description":"Upper 2 octaves of Ellis's Harmonical"},"harmsub16":{"frequencies":[261.6255653006,280.31310567921,294.32876096318,301.87565226992,327.03195662575,356.76213450082,359.73515228832,392.4383479509,425.14154361347,436.04260883433,457.84473927605,490.54793493862,523.2511306012],"description":"16 harmonics on 1/1 and 16 subharmonics on 15/8"},"harrison_16":{"frequencies":[261.6255653006,279.06726965397,290.69507255622,299.00064605783,305.22982618403,313.95067836072,327.03195662575,348.83408706747,370.63621750918,392.4383479509,418.60090448096,436.04260883433,448.50096908674,457.84473927605,470.92601754108,490.54793493862,523.2511306012],"description":"Lou Harrison 16-tone superparticular \"Ptolemy Duple\""},"harrison_5":{"frequencies":[261.6255653006,279.06726965397,313.95067836072,392.4383479509,418.60090448096,523.2511306012],"description":"From Lou Harrison, a pelog style pentatonic"},"harrison_5_1":{"frequencies":[261.6255653006,285.40970760065,313.95067836072,392.4383479509,418.60090448096,523.2511306012],"description":"From Lou Harrison, a pelog style pentatonic"},"harrison_5_3":{"frequencies":[261.6255653006,271.31540105247,348.83408706747,392.4383479509,406.97310157871,523.2511306012],"description":"From Lou Harrison, a pelog style pentatonic"},"harrison_5_4":{"frequencies":[261.6255653006,279.06726965397,313.95067836072,392.4383479509,490.54793493862,523.2511306012],"description":"From Lou Harrison, a pelog style pentatonic"},"harrison_8":{"frequencies":[261.6255653006,279.06726965397,313.95067836072,327.03195662575,367.91095120397,392.4383479509,436.04260883433,465.11211608996,523.2511306012],"description":"Lou Harrison 8-tone tuning for \"Serenade for Guitar\""},"harrison_cinna":{"frequencies":[261.6255653006,272.52663052146,294.32876096318,313.95067836072,327.03195662575,343.38355445704,367.91095120397,392.4383479509,418.60090448096,436.04260883433,457.84473927605,490.54793493862,523.2511306012],"description":"Lou Harrison, \"Incidental Music for Corneille's Cinna\" (1955-56) 1/1=C"},"harrison_diat":{"frequencies":[261.6255653006,274.70684356563,313.95067836072,348.83408706747,392.4383479509,412.06026534844,470.92601754108,523.2511306012],"description":"From Lou Harrison, a soft diatonic"},"harrison_joy":{"frequencies":[261.6255653006,294.32876096318,327.03195662575,392.4383479509,436.04260883433,490.54793493862,523.2511306012],"description":"Lou Harrison's Joyous 6"},"harrison_mid":{"frequencies":[261.6255653006,294.32876096318,313.95067836072,348.83408706747,392.4383479509,436.04260883433,457.84473927605,523.2511306012],"description":"Lou Harrison mid mode"},"harrison_mid2":{"frequencies":[261.6255653006,294.32876096318,313.95067836072,348.83408706747,392.4383479509,448.50096908674,470.92601754108,523.2511306012],"description":"Lou Harrison mid mode 2"},"harrison_min":{"frequencies":[261.6255653006,313.95067836072,348.83408706747,392.4383479509,436.04260883433,523.2511306012],"description":"From Lou Harrison, a symmetrical pentatonic with minor thirds"},"harrison_mix1":{"frequencies":[261.6255653006,285.40970760065,313.95067836072,392.4383479509,425.14154361347,523.2511306012],"description":"A \"mixed type\" pentatonic, Lou Harrison"},"harrison_mix2":{"frequencies":[261.6255653006,313.95067836072,348.83408706747,392.4383479509,490.54793493862,523.2511306012],"description":"A \"mixed type\" pentatonic, Lou Harrison"},"harrison_mix3":{"frequencies":[261.6255653006,313.95067836072,336.37572681506,392.4383479509,418.60090448096,523.2511306012],"description":"A \"mixed type\" pentatonic, Lou Harrison"},"harrison_mix4":{"frequencies":[261.6255653006,280.31310567921,327.03195662575,392.4383479509,448.50096908674,523.2511306012],"description":"A \"mixed type\" pentatonic, Lou Harrison"},"harrison_songs":{"frequencies":[261.6255653006,271.31540105247,294.32876096318,310.07474405997,327.03195662575,348.83408706747,367.91095120397,392.4383479509,406.97310157871,441.49314144476,465.11211608996,490.54793493862,523.2511306012],"description":"Shared gamut of \"Four Strict Songs\" (1951-55), each pentatonic"},"harrisonj":{"frequencies":[261.6255653006,272.17712546173,292.13970819848,313.56642833783,326.21280531667,350.13858362887,364.25994396351,390.97625694066,406.744629928,436.57694340361,468.59728067062,487.49616921257,523.2511306012],"description":"John Harrison's temperament (1775), almost 3/10-comma. Third = 1200/pi"},"harrisonm_rev":{"frequencies":[261.6255653006,257.53766584278,294.32876096318,289.72987407313,331.11985608357,343.38355445704,372.50983809402,392.4383479509,386.30649876417,441.49314144476,457.84473927605,496.67978412536,523.2511306012],"description":"Michael Harrison, piano tuning for \"Revelation\" (2001), 1/1=F"},"haverstick13":{"frequencies":[261.6255653006,283.85429714132,301.75671459889,307.97166902637,320.78822215662,341.02002673508,362.52783176564,377.61479489998,401.43059675514,426.7484383229,444.50800708553,482.27514684959,502.34551296122,523.2511306012],"description":"Neil Haverstick, scale in 34-tET, MMM 21-5-2006"},"hawkes":{"frequencies":[261.6255653006,274.56549986328,292.86986732103,310.24975557428,327.84547867349,349.70184487387,366.99801003998,391.46454285105,411.84824958905,438.2147004401,467.42901507992,490.54793493862,523.2511306012],"description":"William Hawkes' modified 1/5-comma meantone (1807)"},"hawkes2":{"frequencies":[261.6255653006,275.15193010334,293.04845178801,312.10900487995,328.24542585003,349.59527202198,367.66978141816,391.58387939843,411.8292495232,438.61558204759,467.14415995873,491.2960898965,523.2511306012],"description":"Meantone with fifth tempered 1/6 of 53-tET step by William Hawkes (1808)"},"hawkes3":{"frequencies":[261.6255653006,274.56549986328,292.86986732103,311.6193417424,327.84547867349,349.70184487387,366.99801003998,391.46454285105,411.84824958905,438.2147004401,467.42901237995,490.54793493862,523.2511306012],"description":"William Hawkes' modified 1/5-comma meantone (1811)"},"hbarnes":{"frequencies":[261.6255653006,276.71351472429,293.33333347996,310.95136287868,328.88393162803,349.42547049952,369.15973155124,391.77416758435,414.83597850347,439.25532436715,466.16376151809,493.04743111995,523.2511306012],"description":"Variation on Barnes with 1/6P -> 1/8P. OdC '99"},"hebdome1":{"frequencies":[261.6255653006,265.71346475842,267.23182741418,269.80136421624,273.30527803723,280.31310567921,283.42769574232,287.78812183066,289.07289023169,292.28481123426,294.32876096318,300.63580584096,303.67253115248,308.34441624714,311.77046531655,315.35224388912,318.85615771011,323.76163705949,327.03195662575,334.03978426773,336.37572681506,340.11323489078,341.63159754654,346.88746827803,350.74177348112,359.73515228832,364.40703738298,367.91095120397,370.01329949656,375.7947573012,382.62738925213,385.43052030892,389.71308164569,392.4383479509,400.84774112128,404.70204632437,409.95791705585,411.12588832951,417.54973033466,420.46965851882,425.14154361347,431.68218274599,437.28844485957,441.49314144476,445.38637902364,449.66894036041,455.50879672872,462.5166243707,467.65569797482,470.92601754108,478.28423656516,479.64686971777,485.87604984397,490.54793493862,501.0596764016,504.56359022259,510.16985233617,513.90736041189,523.2511306012],"description":"Wilson 1.3.5.7.9.11.13.15 hebdomekontany, 1.3.5.7 tonic"},"helmholtz":{"frequencies":[261.6255653006,279.06726965397,327.03195662575,348.83408706747,392.4383479509,418.60090448096,490.54793493862,523.2511306012],"description":"Helmholtz's Chromatic scale and Gipsy major from Slovakia"},"helmholtz_24":{"frequencies":[261.6255653006,275.93321340298,279.06726965397,290.69507255622,294.32876096318,306.59245933664,310.07474405997,327.03195662575,331.11985608357,344.91651675372,348.83408706747,367.91095120397,372.50983809402,388.03108134794,392.4383479509,408.78994578219,413.89982010446,436.04260883433,441.49314144476,459.88868900496,465.63729761752,490.54793493862,496.67978412536,517.37477513058,523.2511306012],"description":"Simplified Helmholtz 24"},"helmholtz_hd":{"frequencies":[261.6255653006,294.32876096318,313.95067836072,327.03195662575,348.83408706747,392.4383479509,418.60090448096,436.04260883433,470.92601754108,523.2511306012],"description":"Helmholtz Harmonic Decad"},"helmholtz_pure":{"frequencies":[261.6255653006,275.93321340298,279.06726965397,290.69507255622,294.32876096318,306.59245933664,310.07474405997,327.03195662575,330.74639366397,344.91651675372,348.83408706747,367.91095120397,372.08969287196,387.59343007496,392.4383479509,408.78994578219,413.43299207996,436.04260883433,441.49314144476,459.88868900496,465.11211608996,490.54793493862,496.11959049595,516.79124009995,523.2511306012],"description":"Helmholtz's two-keyboard harmonium tuning untempered"},"helmholtz_temp":{"frequencies":[261.6255653006,275.81645389904,279.10671937395,290.77707354032,294.24580701304,306.54917537161,310.20605716322,327.03195662575,330.9330448436,344.77062435684,348.88325535732,367.80710710303,372.19474608839,387.75741156435,392.38304142029,408.78994578219,413.66637442451,436.10414127513,441.30625330017,459.75895986689,465.24324076996,490.4788828408,496.3296094287,517.08305349316,523.2511306012],"description":"Helmholtz's two-keyboard harmonium tuning"},"hem_chrom":{"frequencies":[261.6255653006,269.55361273395,285.40970760065,348.83408706747,392.4383479509,404.33041910093,428.11456140098,523.2511306012],"description":"Hemiolic Chromatic genus has the strong or 1:2 division of the 12/11 pyknon"},"hem_chrom11":{"frequencies":[261.6255653006,273.00058987889,285.40970760065,348.83408706747,392.4383479509,409.50088481833,428.11456140098,523.2511306012],"description":"11'al Hemiolic Chromatic genus with a CI of 11/9, Winnington-Ingram"},"hem_chrom13":{"frequencies":[261.6255653006,272.09058791262,283.42769574232,348.83408706747,392.4383479509,408.13588186894,425.14154361347,523.2511306012],"description":"13'al Hemiolic Chromatic or neutral-third genus has a CI of 16/13"},"hem_chrom2":{"frequencies":[261.6255653006,269.29177952703,285.30470202322,349.22823143301,391.99543598175,403.48177901006,427.47405410759,523.2511306012],"description":"1:2 Hemiolic Chromatic genus 3 + 6 + 21 parts"},"hemiwuer24":{"frequencies":[261.6255653006,274.60778382002,280.48822448524,286.49458884928,292.62957327549,307.15025309186,313.72755695954,320.44570714783,327.30771955335,350.90592546776,358.42021185082,366.09540888186,373.9349620795,392.49012653442,400.89489544613,409.47964376542,418.24822532303,439.00227453173,448.4030528436,458.00513880662,467.8128437444,491.02635713596,501.54117720983,512.28116095218,523.2511306012],"description":"Hemiw�rschmidt[24] in 229-tET tuning."},"hen12":{"frequencies":[261.6255653006,280.31310567921,299.00064605783,313.95067836072,327.03195662575,348.83408706747,366.27579142084,392.4383479509,418.60090448096,448.50096908674,457.84473927605,490.54793493862,523.2511306012],"description":"Adjusted Hahn12"},"hen22":{"frequencies":[261.6255653006,272.52663052146,280.31310567921,290.69507255622,299.00064605783,305.22982618403,313.95067836072,327.03195662575,336.37572681506,348.83408706747,363.36884069528,366.27579142084,381.53728273004,392.4383479509,415.27867508032,418.60090448096,436.04260883433,448.50096908674,457.84473927605,484.4917875937,490.54793493862,508.71637697339,523.2511306012],"description":"Adjusted Hahn22"},"hept_diamond":{"frequencies":[261.6255653006,269.10058145205,271.31540105247,279.06726965397,294.32876096318,305.22982618403,313.95067836072,316.53463456122,325.57848126297,327.03195662575,334.88072358477,336.37572681506,348.83408706747,392.4383479509,406.97310157871,408.78994578219,418.60090448096,420.46965851882,432.48307733364,436.04260883433,448.50096908674,465.11211608996,490.54793493862,504.56359022259,508.71637697339,523.2511306012],"description":"Inverted-Prime Heptatonic Diamond based on Archytas's Enharmonic"},"hept_diamondi":{"frequencies":[261.6255653006,269.10058145205,271.31540105247,279.06726965397,281.36411960997,289.40309445597,294.32876096318,297.67175429757,327.03195662575,336.37572681506,348.83408706747,361.75386806997,367.91095120397,372.08969287196,378.42269266694,392.4383479509,406.97310157871,418.60090448096,459.88868900496,465.11211608996,473.02836583367,486.54346200035,490.54793493862,504.56359022259,508.71637697339,523.2511306012],"description":"Prime-Inverted Heptatonic Diamond based on Archytas's Enharmonic"},"hept_diamondp":{"frequencies":[261.6255653006,269.10058145205,271.31540105247,279.06726965397,294.32876096318,305.22982618403,313.95067836072,327.03195662575,336.37572681506,339.14425131559,348.83408706747,358.80077526939,361.75386806997,367.91095120397,372.08969287196,378.42269266694,381.53728273004,392.4383479509,403.65087217807,406.97310157871,418.60090448096,436.04260883433,448.50096908674,465.11211608996,490.54793493862,504.56359022259,508.71637697339,523.2511306012],"description":"Heptatonic Diamond based on Archytas's Enharmonic, 27 tones"},"herf":{"frequencies":[261.6255653006,269.80136421624,277.97716313189,294.32876096318,310.68035879446,327.03195662575,343.38355445704,359.73515228832,376.08675011961,392.4383479509,425.14154361347,441.49314144476,457.84473927605,490.54793493862,523.2511306012],"description":"Sims:Reflections on This and That, 1991. Used by Herf in Ekmelischer Gesang"},"heun":{"frequencies":[261.6255653006,275.15237829755,293.0485888979,312.10878854255,328.24573110938,349.59519124833,367.67029324081,391.58396987353,411.83001550364,438.61588607285,467.14394139401,491.29666030217,523.2511306012],"description":"Well temperament for organ of Jan Heun (1805), subset of 55-tET"},"hexagonal13":{"frequencies":[261.6255653006,272.52663052146,279.06726965397,290.69507255622,313.95067836072,327.03195662575,348.83408706747,392.4383479509,418.60090448096,436.04260883433,470.92601754108,490.54793493862,502.32108537715,523.2511306012],"description":"Star hexagonal 13-tone scale"},"hexagonal37":{"frequencies":[261.6255653006,272.52663052146,279.06726965397,282.55561052465,283.88190679319,290.69507255622,294.32876096318,297.67175429757,301.39265122629,306.59245933664,313.95067836072,322.99452506247,327.03195662575,334.88072358477,340.65828815182,348.83408706747,353.19451315581,363.36884069528,367.91095120397,372.08969287196,376.74081403286,387.59343007496,392.4383479509,401.85686830172,408.78994578219,418.60090448096,423.83341578697,436.04260883433,446.50763144636,454.2110508691,459.88868900496,465.11211608996,470.92601754108,482.22824196207,484.4917875937,490.54793493862,502.32108537715,523.2511306012],"description":"Star hexagonal 37-tone scale"},"hexany1":{"frequencies":[261.6255653006,305.22982618403,327.03195662575,381.53728273004,436.04260883433,457.84473927605,523.2511306012],"description":"Two out of 1 3 5 7 hexany on 1.3"},"hexany10":{"frequencies":[261.6255653006,294.32876096318,327.03195662575,392.4383479509,436.04260883433,490.54793493862,523.2511306012],"description":"1.3.5.9 Hexany"},"hexany11":{"frequencies":[261.6255653006,294.32876096318,305.22982618403,343.38355445704,392.4383479509,457.84473927605,523.2511306012],"description":"1.3.7.9 Hexany on 1.3"},"hexany12":{"frequencies":[261.6255653006,290.69507255622,305.22982618403,339.14425131559,406.97310157871,436.04260883433,523.2511306012],"description":"3.5.7.9 Hexany on 3.9"},"hexany13":{"frequencies":[261.6255653006,285.40970760065,327.03195662575,356.76213450082,392.4383479509,475.68284600109,523.2511306012],"description":"1.3.5.11 Hexany on 1.11"},"hexany14":{"frequencies":[261.6255653006,287.78812183066,340.11323489078,383.71749577421,453.48431318771,498.83274450648,523.2511306012],"description":"5.11.13.15 Hexany (5.15), used in The Giving, by Stephen J. Taylor"},"hexany15":{"frequencies":[261.6255653006,327.03195662575,348.83408706747,392.4383479509,418.60090448096,523.2511306012],"description":"1.3.5.15 2)4 hexany (1.15 tonic) degenerate, symmetrical pentatonic"},"hexany16":{"frequencies":[261.6255653006,294.32876096318,348.83408706747,392.4383479509,465.11211608996,523.2511306012],"description":"1.3.9.27 Hexany, a degenerate pentatonic form"},"hexany17":{"frequencies":[261.6255653006,327.03195662575,334.88072358477,408.78994578219,418.60090448096,523.2511306012],"description":"1.5.25.125 Hexany, a degenerate pentatonic form"},"hexany18":{"frequencies":[261.6255653006,299.00064605783,341.71502406609,400.61414686654,457.84473927605,523.2511306012],"description":"1.7.49.343 Hexany, a degenerate pentatonic form"},"hexany19":{"frequencies":[261.6255653006,299.00064605783,327.03195662575,418.60090448096,457.84473927605,523.2511306012],"description":"1.5.7.35 Hexany, a degenerate pentatonic form"},"hexany2":{"frequencies":[261.6255653006,272.52663052146,294.32876096318,313.95067836072,327.03195662575,340.65828815182,348.83408706747,363.36884069528,392.4383479509,408.78994578219,436.04260883433,490.54793493862,523.2511306012],"description":"Hexany Cluster 2"},"hexany20":{"frequencies":[261.6255653006,279.06726965397,305.22982618403,398.6675280771,436.04260883433,465.11211608996,523.2511306012],"description":"3.5.7.105 Hexany"},"hexany21":{"frequencies":[261.6255653006,279.06726965397,310.07474405997,392.4383479509,436.04260883433,465.11211608996,523.2511306012],"description":"3.5.9.135 Hexany"},"hexany21a":{"frequencies":[261.6255653006,279.06726965397,310.07474405997,348.83408706747,392.4383479509,436.04260883433,465.11211608996,523.2511306012],"description":"3.5.9.135 Hexany + 4/3. Is Didymos Diatonic tetrachord on 1/1 and inv. on 3/2"},"hexany22":{"frequencies":[261.6255653006,276.76092858245,359.73515228832,380.54627680087,494.63583439645,523.2511306012],"description":"1.11.121.1331 Hexany, a degenerate pentatonic form"},"hexany23":{"frequencies":[261.6255653006,348.83408706747,359.73515228832,380.54627680087,392.4383479509,523.2511306012],"description":"1.3.11.33 Hexany, degenerate pentatonic form"},"hexany24":{"frequencies":[261.6255653006,327.03195662575,359.73515228832,380.54627680087,418.60090448096,523.2511306012],"description":"1.5.11.55 Hexany, a degenerate pentatonic form"},"hexany25":{"frequencies":[261.6255653006,299.00064605783,359.73515228832,380.54627680087,457.84473927605,523.2511306012],"description":"1.7.11.77 Hexany, a degenerate pentatonic form"},"hexany26":{"frequencies":[261.6255653006,294.32876096318,359.73515228832,380.54627680087,465.11211608996,523.2511306012],"description":"1.9.11.99 Hexany, a degenerate pentatonic form"},"hexany3":{"frequencies":[261.6255653006,272.52663052146,290.69507255622,313.95067836072,327.03195662575,348.83408706747,392.4383479509,418.60090448096,436.04260883433,470.92601754108,490.54793493862,502.32108537715,523.2511306012],"description":"Hexany Cluster 3"},"hexany4":{"frequencies":[261.6255653006,272.52663052146,294.32876096318,313.95067836072,327.03195662575,348.83408706747,376.74081403286,392.4383479509,418.60090448096,436.04260883433,470.92601754108,490.54793493862,523.2511306012],"description":"Hexany Cluster 4"},"hexany49":{"frequencies":[261.6255653006,299.00064605783,305.22982618403,392.4383479509,400.61414686654,457.84473927605,523.2511306012],"description":"1.3.21.49 2)4 hexany (1.21 tonic)"},"hexany5":{"frequencies":[261.6255653006,294.32876096318,313.95067836072,327.03195662575,348.83408706747,392.4383479509,408.78994578219,418.60090448096,436.04260883433,470.92601754108,490.54793493862,502.32108537715,523.2511306012],"description":"Hexany Cluster 5"},"hexany6":{"frequencies":[261.6255653006,272.52663052146,290.69507255622,294.32876096318,313.95067836072,327.03195662575,348.83408706747,392.4383479509,408.78994578219,418.60090448096,436.04260883433,490.54793493862,523.2511306012],"description":"Hexany Cluster 6"},"hexany7":{"frequencies":[261.6255653006,272.52663052146,313.95067836072,327.03195662575,348.83408706747,363.36884069528,392.4383479509,408.78994578219,418.60090448096,436.04260883433,470.92601754108,490.54793493862,523.2511306012],"description":"Hexany Cluster 7"},"hexany8":{"frequencies":[261.6255653006,272.52663052146,313.95067836072,327.03195662575,340.65828815182,348.83408706747,392.4383479509,408.78994578219,418.60090448096,436.04260883433,490.54793493862,502.32108537715,523.2511306012],"description":"Hexany Cluster 8"},"hexany9":{"frequencies":[261.6255653006,299.00064605783,313.95067836072,358.80077526939,418.60090448096,448.50096908674,523.2511306012],"description":"1.3.5.7 Hexany on 5.7"},"hexany_cl":{"frequencies":[261.6255653006,294.32876096318,301.39265122629,313.95067836072,327.03195662575,348.83408706747,353.19451315581,376.74081403286,392.4383479509,418.60090448096,470.92601754108,502.32108537715,523.2511306012],"description":"Hexany Cluster 1"},"hexany_cl2":{"frequencies":[261.6255653006,279.06726965397,294.32876096318,313.95067836072,327.03195662575,348.83408706747,392.4383479509,408.78994578219,418.60090448096,490.54793493862,502.32108537715,523.2511306012],"description":"Composed of 1.3.5.45, 1.3.5.75, 1.3.5.9, and 1.3.5.25 hexanies"},"hexany_flank":{"frequencies":[261.6255653006,267.07609791103,299.00064605783,305.22982618403,327.03195662575,348.83408706747,373.75080757229,381.53728273004,427.14378008261,436.04260883433,457.84473927605,498.33441009638,523.2511306012],"description":"Hexany Flanker, 7-limit, from Wilson"},"hexany_tetr":{"frequencies":[261.6255653006,269.10058145205,279.06726965397,336.37572681506,348.83408706747,358.80077526939,523.2511306012],"description":"Complex 12 of p. 115, a hexany based on Archytas's Enharmonic"},"hexany_trans":{"frequencies":[261.6255653006,271.31540105247,279.06726965397,339.14425131559,348.83408706747,361.75386806997,523.2511306012],"description":"Complex 1 of p. 115, a hexany based on Archytas's Enharmonic"},"hexany_trans2":{"frequencies":[261.6255653006,271.31540105247,279.06726965397,348.83408706747,358.80077526939,372.08969287196,523.2511306012],"description":"Complex 2 of p. 115, a hexany based on Archytas's Enharmonic"},"hexany_trans3":{"frequencies":[261.6255653006,271.31540105247,279.06726965397,327.03195662575,336.37572681506,348.83408706747,523.2511306012],"description":"Complex 9 of p. 115, a hexany based on Archytas's Enharmonic"},"hexany_u2":{"frequencies":[261.6255653006,274.70684356563,279.06726965397,280.31310567921,286.15296204753,299.00064605783,305.22982618403,313.95067836072,327.03195662575,343.38355445704,348.83408706747,358.80077526939,366.27579142084,373.75080757229,381.53728273004,392.4383479509,398.6675280771,418.60090448096,436.04260883433,448.50096908674,457.84473927605,478.40103369253,488.36772189445,490.54793493862,498.33441009638,523.2511306012],"description":"Hexany union = genus [335577] minus two corners"},"hexany_union":{"frequencies":[261.6255653006,274.70684356563,280.31310567921,299.00064605783,305.22982618403,313.95067836072,327.03195662575,348.83408706747,358.80077526939,366.27579142084,373.75080757229,381.53728273004,392.4383479509,418.60090448096,436.04260883433,448.50096908674,457.84473927605,488.36772189445,498.33441009638,523.2511306012],"description":"The union of all of the pitches of the 1.3.5.7 hexany on each tone as 1/1"},"hexany_urot":{"frequencies":[261.6255653006,267.07609791103,280.31310567921,286.15296204753,290.69507255622,299.00064605783,305.22982618403,327.03195662575,333.84512238879,343.38355445704,348.83408706747,356.10146388137,373.75080757229,381.53728273004,392.4383479509,400.61414686654,406.97310157871,436.04260883433,445.12682985172,448.50096908674,457.84473927605,490.54793493862,498.33441009638,508.71637697339,523.2511306012],"description":"Aggregate rotations of 1.3.5.7 hexany, 1.3 = 1/1"},"hexanys":{"frequencies":[261.6255653006,286.15296204753,294.32876096318,327.03195662575,343.38355445704,367.91095120397,392.4383479509,429.2294430713,441.49314144476,457.84473927605,490.54793493862,515.07533168556,523.2511306012],"description":"Hexanys 1 3 5 7 9"},"hexanys2":{"frequencies":[261.6255653006,314.76825825228,425.14154361347,457.84473927605,269.80136421624,371.99885066179,392.4383479509,472.15238737843,318.85615771011,359.73515228832,343.38355445704,292.28481123426,523.2511306012],"description":"Hexanys 1 3 7 11 13"},"higgs":{"frequencies":[261.6255653006,392.4383479509,418.60090448096,422.62591317789,423.58424858192,425.14154361347,436.04260883433,523.2511306012],"description":"From Greg Higgs announcement of the formation of an Internet Tuning list"},"hinsz_gr":{"frequencies":[261.6255653006,274.68983337859,292.34127285051,310.07474405997,326.6631048533,348.83408706747,366.25311135453,391.11111150212,412.03474986192,437.02884834934,465.11211608996,489.99465727995,523.2511306012],"description":"Reconstructed Hinsz temperament, organ Pelstergasthuiskerk Groningen. Ortgies,2002"},"hipkins":{"frequencies":[261.6255653006,275.62199471997,299.00064605783,348.83408706747,392.4383479509,413.43299207996,448.50096908674,523.2511306012],"description":"Hipkins' Chromatic"},"hirajoshi":{"frequencies":[261.6255653006,291.13134764929,317.84796618517,388.16504068057,412.91271853531,523.2511306012],"description":"Observed Japanese pentatonic koto scale. Helmholtz/Ellis p.519, nr.112"},"hirajoshi2":{"frequencies":[261.6255653006,294.32876096318,313.95067836072,392.4383479509,418.60090448096,523.2511306012],"description":"Japanese pentatonic koto scale, theoretical. Helmholz/Ellis p.519, nr.110"},"hirajoshi3":{"frequencies":[261.6255653006,292.47977325983,321.54118165335,396.32121331049,415.54465627623,522.94897617031],"description":"Observed Japanese pentatonic koto scale. Helmholtz/Ellis p.519, nr.111"},"hirashima":{"frequencies":[261.6255653006,277.33928225406,292.50627485027,312.00669222389,327.03195662575,349.91912034749,369.78570985692,391.22147055517,416.00892317314,437.39889945791,468.01003810189,489.02683710225,523.2511306012],"description":"Tatsushi Hirashima, temperament of chapel organ of Kobe Shoin Women's Univ."},"hjelmboogie":{"frequencies":[261.6255653006,294.32876096318,327.03195662575,343.38355445704,367.91095120397,392.4383479509,441.49314144476,457.84473927605,490.54793493862,515.07533168556,523.2511306012],"description":"Paul Hjelmstad's \"Boogie Woogie\" scale, TL 20-3-2006"},"ho_mai_nhi":{"frequencies":[261.6255653006,287.78812183066,348.83408706747,392.4383479509,431.68218274599,523.2511306012],"description":"Ho Mai Nhi (Nam Hue) dan tranh scale, Vietnam"},"hochgartz":{"frequencies":[261.6255653006,274.56549986328,292.86986732103,309.86458629683,327.84547867349,349.70184487387,366.99801003998,391.46454285105,412.49999887294,438.2147004401,465.53241962975,490.54793493862,523.2511306012],"description":"Michael Hochgartz, modified 1/5-comma meantone temperament"},"hofmann1":{"frequencies":[261.6255653006,262.65154790962,279.06726965397,348.83408706747,392.4383479509,393.97732186443,418.60090448096,523.2511306012],"description":"Hofmann's Enharmonic #1, Dorian mode"},"hofmann2":{"frequencies":[261.6255653006,263.56353245097,279.06726965397,348.83408706747,392.4383479509,395.34529867646,418.60090448096,523.2511306012],"description":"Hofmann's Enharmonic #2, Dorian mode"},"hofmann_chrom":{"frequencies":[261.6255653006,264.26824777838,290.69507255622,348.83408706747,392.4383479509,396.40237166758,436.04260883433,523.2511306012],"description":"Hofmann's Chromatic"},"holder":{"frequencies":[261.6255653006,274.23214485994,292.57879058083,312.45989404005,327.40114268825,349.76744711215,366.57630213591,391.03837375367,409.94826565972,437.46806069696,467.28984664562,489.70152554512,523.2511306012],"description":"William Holder's equal beating meantone temperament (1694). 3/2 beats 2.8 Hz"},"holder2":{"frequencies":[261.6255653006,274.23214485994,292.57879058083,312.45989404005,327.40114268825,349.76744711215,366.57630213591,391.03837375367,410.64811919433,437.46806069696,467.46154552107,489.70152554512,523.2511306012],"description":"Holder's irregular e.b. temperament with improved Eb and G#"},"hummel":{"frequencies":[261.6255653006,277.1703574486,293.54676487235,311.03465677994,329.45811370906,349.13199096171,369.8583804246,391.99149393462,415.308682162,439.8732919971,466.10512967869,493.74031485884,523.2511306012],"description":"Johann Nepomuk Hummel's quasi-equal temperament (1829)"},"hummel2":{"frequencies":[261.6255653006,277.22760066578,293.66431501254,311.21660561883,329.70790803338,349.18845812715,369.99117208793,391.90679138833,415.30984563838,439.96491544382,466.29335337935,494.03030700757,523.2511306012],"description":"Johann Nepomuk Hummel's temperament according to the second bearing plan"},"husmann":{"frequencies":[261.6255653006,275.62199471997,294.32876096318,310.07474405997,314.30517589183,331.11985608357,348.83408706747],"description":"Tetrachord division according to Husmann"},"hwerck3":{"frequencies":[261.6255653006,276.40121172404,293.00227310437,310.60041853231,328.69828757761,349.03110370139,368.74309237173,391.5530240856,414.36778843034,438.51190905657,465.63764214343,492.7691222293,523.2511306012],"description":"Variation on Werckmeister III with 1/4P -> 1/6P and 0P -> 1/24P. OdC '99"},"hyper_enh":{"frequencies":[261.6255653006,264.93728131706,268.33391312882,348.83408706747,392.4383479509,397.40592197559,402.50086969323,523.2511306012],"description":"13/10 HyperEnharmonic. This genus is at the limit of usable tunings"},"hyper_enh2":{"frequencies":[261.6255653006,267.19206668997,273.00058987889,348.83408706747,392.4383479509,400.78810003496,409.50088481833,523.2511306012],"description":"Hyperenharmonic genus from Kathleen Schlesinger's enharmonic Phrygian Harmonia"},"hypo_chrom":{"frequencies":[261.6255653006,275.39533189537,282.83844897362,290.69507255622,348.83408706747,373.75080757229,387.59343007496,402.50086969323,418.60090448096,427.14378008261,436.04260883433,455.00098313148,523.2511306012],"description":"Hypolydian Chromatic Tonos"},"hypo_diat":{"frequencies":[261.6255653006,290.69507255622,307.79478270659,327.03195662575,348.83408706747,373.75080757229,387.59343007496,402.50086969323,436.04260883433,455.00098313148,475.68284600109,498.33441009638,523.2511306012],"description":"Hypolydian Diatonic 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Tonos"},"hypod_enhinv":{"frequencies":[261.6255653006,343.38355445704,351.55935337268,359.73515228832,392.4383479509,490.54793493862,506.89953276991,523.2511306012],"description":"Inverted Schlesinger's Enharmonic Hypodorian Harmonia"},"hypod_enhinv2":{"frequencies":[261.6255653006,269.80136421624,277.97716313189,359.73515228832,392.4383479509,400.61414686654,408.78994578219,523.2511306012],"description":"A harmonic form of Schlesinger's Hypodorian enharmonic inverted"},"hypodorian_pis":{"frequencies":[261.6255653006,285.40970760065,313.95067836072,348.83408706747,392.4383479509,418.60090448096,483.00104363188,523.2511306012,546.00117975777,570.81941520131,627.90135672144,697.66817413493,784.8766959018,897.00193817349,966.00208726375,1046.5022612024],"description":"Diatonic Perfect Immutable System in the Hypodorian 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inverted"},"hypol_diat":{"frequencies":[261.6255653006,290.69507255622,327.03195662575,348.83408706747,373.75080757229,402.50086969323,436.04260883433,475.68284600109,523.2511306012],"description":"Schlesinger's Hypolydian Harmonia, a subharmonic series through 13 from 20"},"hypol_diatcon":{"frequencies":[261.6255653006,290.69507255622,327.03195662575,348.83408706747,402.50086969323,436.04260883433,475.68284600109,523.2511306012],"description":"A Hypolydian Diatonic with its own trite synemmenon replacing paramese"},"hypol_diatinv":{"frequencies":[261.6255653006,287.78812183066,313.95067836072,340.11323489078,366.27579142084,392.4383479509,418.60090448096,470.92601754108,523.2511306012],"description":"Inverted Schlesinger's Hypolydian Harmonia, a harmonic series from 10 from 20"},"hypol_enh":{"frequencies":[261.6255653006,268.33391312882,275.39533189537,348.83408706747,373.75080757229,402.50086969323,418.60090448096,436.04260883433,523.2511306012],"description":"Schlesinger's Hypolydian Harmonia in the enharmonic genus"},"hypol_enhinv":{"frequencies":[261.6255653006,327.03195662575,333.57259575826,340.11323489078,366.27579142084,392.4383479509,497.08857407114,510.16985233617,523.2511306012],"description":"Inverted Schlesinger's Enharmonic Hypolydian Harmonia"},"hypol_enhinv2":{"frequencies":[261.6255653006,268.16620443312,274.70684356563,340.11323489078,366.27579142084,379.35706968587,392.4383479509,523.2511306012],"description":"A harmonic form of Schlesinger's Hypolydian enharmonic inverted"},"hypol_enhinv3":{"frequencies":[261.6255653006,268.16620443312,274.70684356563,340.11323489078,392.4383479509,405.51962621593,418.60090448096,523.2511306012],"description":"A harmonic form of Schlesinger's Hypolydian enharmonic inverted"},"hypol_pent":{"frequencies":[261.6255653006,272.52663052146,290.69507255622,348.83408706747,373.75080757229,402.50086969323,415.27867508032,436.04260883433,523.2511306012],"description":"Schlesinger's Hypolydian Harmonia in the pentachromatic genus"},"hypol_tri":{"frequencies":[261.6255653006,270.64713651786,280.31310567921,348.83408706747,373.75080757229,402.50086969323,413.09299784305,424.25767346043,523.2511306012],"description":"Schlesinger's Hypolydian Harmonia in the first trichromatic genus"},"hypol_tri2":{"frequencies":[261.6255653006,270.64713651786,290.69507255622,348.83408706747,373.75080757229,402.50086969323,413.09299784305,436.04260883433,2093.0045224048],"description":"Schlesinger's Hypolydian Harmonia in the second trichromatic genus"},"hypolydian_pis":{"frequencies":[261.6255653006,281.75060878526,305.22982618403,332.97799220076,366.27579142084,406.97310157871,457.84473927605,488.36772189445,523.2511306012,563.50121757052,610.45965236807,665.95598440153,732.55158284168,813.94620315742,915.6894785521,1046.5022612024],"description":"The Diatonic Perfect Immutable System in the Hypolydian Tonos"},"hypop_chrom":{"frequencies":[261.6255653006,277.01530443593,285.40970760065,294.32876096318,336.37572681506,362.25078272391,376.74081403286,392.4383479509,409.50088481833,418.60090448096,428.11456140098,470.92601754108,523.2511306012],"description":"Hypophrygian Chromatic Tonos"},"hypop_chromenh":{"frequencies":[261.6255653006,269.10058145205,277.01530443593,362.25078272391,392.4383479509,409.50088481833,428.11456140098,523.2511306012],"description":"Schlesinger's Hypophrygian Harmonia in a mixed chromatic-enharmonic genus"},"hypop_chrominv":{"frequencies":[261.6255653006,319.76457981184,334.29933343966,348.83408706747,377.90359432309,465.11211608996,494.18162334558,523.2511306012],"description":"Inverted Schlesinger's Chromatic Hypophrygian Harmonia"},"hypop_chrominv2":{"frequencies":[261.6255653006,276.16031892841,290.69507255622,348.83408706747,377.90359432309,406.97310157871,436.04260883433,523.2511306012],"description":"A harmonic form of Schlesinger's Chromatic Hypophrygian inverted"},"hypop_diat":{"frequencies":[261.6255653006,294.32876096318,303.82323712328,313.95067836072,336.37572681506,362.25078272391,376.74081403286,392.4383479509,428.11456140098,448.50096908674,470.92601754108,495.71159741166,523.2511306012],"description":"Hypophrygian Diatonic Tonos"},"hypop_diat2":{"frequencies":[261.6255653006,294.32876096318,313.95067836072,362.25078272391,376.74081403286,392.4383479509,428.11456140098,470.92601754108,523.2511306012],"description":"Schlesinger's Hypophrygian Harmonia"},"hypop_diat2inv":{"frequencies":[261.6255653006,290.69507255622,319.76457981184,348.83408706747,363.36884069528,377.90359432309,436.04260883433,465.11211608996,523.2511306012],"description":"Inverted Schlesinger's Hypophrygian Harmonia, a harmonic series from 9 from 18"},"hypop_diatcon":{"frequencies":[261.6255653006,294.32876096318,313.95067836072,362.25078272391,376.74081403286,428.11456140098,470.92601754108,523.2511306012],"description":"A Hypophrygian Diatonic with its own trite synemmenon replacing paramese"},"hypop_enh":{"frequencies":[261.6255653006,269.10058145205,273.00058987889,277.01530443593,313.95067836072,362.25078272391,376.74081403286,392.4383479509,400.78810003496,405.0976494977,409.50088481833,470.92601754108,523.2511306012],"description":"Hypophrygian Enharmonic Tonos"},"hypop_enhinv":{"frequencies":[261.6255653006,334.29933343966,341.56671025356,348.83408706747,377.90359432309,494.18162334558,508.71637697339,523.2511306012],"description":"Inverted Schlesinger's Enharmonic Hypophrygian Harmonia"},"hypop_enhinv2":{"frequencies":[261.6255653006,268.89294211451,276.16031892841,348.83408706747,377.90359432309,392.4383479509,406.97310157871,523.2511306012],"description":"A harmonic form of Schlesinger's Hypophrygian enharmonic inverted"},"hypophryg_pis":{"frequencies":[261.6255653006,283.42769574232,309.19384990071,340.11323489078,377.90359432309,425.14154361347,453.48431318771,523.2511306012,544.18117582525,566.85539148463,618.38769980142,680.22646978156,755.80718864618,850.28308722695,971.75209968794,1046.5022612024],"description":"The Diatonic Perfect Immutable System in the Hypophrygian Tonos"},"kanzelmeyer_11":{"frequencies":[261.6255653006,277.97716313189,310.68035879446,327.03195662575,359.73515228832,376.08675011961,392.4383479509,425.14154361347,457.84473927605,474.19633710734,506.89953276991,523.2511306012],"description":"Bruce Kanzelmeyer, 11 harmonics from 16 to 32. Base 388.3614815 Hz"},"kanzelmeyer_18":{"frequencies":[261.6255653006,277.97716313189,302.50455987882,310.68035879446,327.03195662575,335.20775554139,351.55935337268,359.73515228832,376.08675011961,384.26254903526,392.4383479509,425.14154361347,433.31734252912,457.84473927605,474.19633710734,482.37213602298,498.72373385427,506.89953276991,523.2511306012],"description":"Bruce Kanzelmeyer, 18 harmonics from 32 to 64. Base 388.3614815 Hz"},"kayolonian":{"frequencies":[261.6255653006,267.90457886781,279.06726965397,294.32876096318,306.59245933664,313.95067836072,327.03195662575,334.88072358477,348.83408706747,357.20610515709,372.08969287196,392.4383479509,408.78994578219,418.60090448096,436.04260883433,446.50763144636,465.11211608996,490.54793493862,510.98743222773,523.2511306012],"description":"19-tone 5-limit scale of the Kayenian Imperium on Kayolonia (reeks van Sjauriek)"},"kayolonian_12":{"frequencies":[261.6255653006,279.06726965397,294.32876096318,313.95067836072,327.03195662575,348.83408706747,392.4383479509,408.78994578219,418.60090448096,436.04260883433,465.11211608996,490.54793493862,523.2511306012],"description":"See Barnard: De Keiaanse Muziek, p. 11. (uitgebreide reeks)"},"kayolonian_40":{"frequencies":[261.6255653006,267.90457886781,272.52663052146,275.93321340298,279.06726965397,290.69507255622,294.32876096318,297.67175429757,306.59245933664,310.07474405997,313.95067836072,319.36714514233,327.03195662575,331.11985608357,334.88072358477,340.65828815182,348.83408706747,353.19451315581,357.20610515709,363.36884069528,367.91095120397,372.08969287196,376.74081403286,383.2405741708,387.59343007496,392.4383479509,401.85686830172,408.78994578219,413.43299207996,418.60090448096,436.04260883433,441.49314144476,446.50763144636,459.88868900496,465.11211608996,470.92601754108,490.54793493862,496.11959049595,502.32108537715,510.98743222773,523.2511306012],"description":"See Barnard: De Keiaanse Muziek"},"kayolonian_f":{"frequencies":[261.6255653006,279.06726965397,306.59245933664,327.03195662575,348.83408706747,392.4383479509,418.60090448096,446.50763144636,490.54793493862,523.2511306012],"description":"Kayolonian scale F and periodicity block (128/125, 16875/16384)"},"kayolonian_p":{"frequencies":[261.6255653006,279.06726965397,306.59245933664,327.03195662575,348.83408706747,392.4383479509,418.60090448096,459.88868900496,490.54793493862,523.2511306012],"description":"Kayolonian scale P"},"kayolonian_s":{"frequencies":[261.6255653006,287.4304306281,306.59245933664,327.03195662575,359.28803828513,392.4383479509,418.60090448096,459.88868900496,490.54793493862,523.2511306012],"description":"Kayolonian scale S"},"kayolonian_t":{"frequencies":[261.6255653006,279.06726965397,297.67175429757,317.51653791741,348.83408706747,381.01984550089,418.60090448096,446.50763144636,476.27480687611,523.2511306012],"description":"Kayolonian scale T"},"kayolonian_z":{"frequencies":[261.6255653006,279.06726965397,297.67175429757,327.03195662575,348.83408706747,392.4383479509,418.60090448096,446.50763144636,476.27480687611,523.2511306012],"description":"Kayolonian scale Z"},"kayoloniana":{"frequencies":[261.6255653006,267.90457886781,279.06726965397,294.32876096318,306.59245933664,313.95067836072,327.03195662575,334.88072358477,348.83408706747,367.91095120397,372.08969287196,392.4383479509,408.78994578219,418.60090448096,436.04260883433,446.50763144636,465.11211608996,490.54793493862,510.98743222773,523.2511306012],"description":"Amendment by Rasch of Kayolonian scale's note 9"},"kebyar-b":{"frequencies":[261.6255653006,280.40333801024,299.48910562989,384.37207420335,402.78320381033,523.2511306012],"description":"Gamelan Kebyar tuning begbeg, Andrew Toth, 1993"},"kebyar-s":{"frequencies":[261.6255653006,283.00682726281,309.51375468789,385.26118901859,416.26536455926,523.2511306012],"description":"Gamelan kebyar tuning sedung, Andrew Toth, 1993"},"kebyar-t":{"frequencies":[261.6255653006,293.15632631094,325.27731021818,397.46748834812,422.07621250312,523.2511306012],"description":"Gamelan kebyar tuning tirus, Andrew Toth, 1993"},"keenan":{"frequencies":[261.6255653006,279.77706779472,292.57243455474,305.95298478736,327.17991022208,349.87955533643,365.88099775759,391.26571058456,418.41160951721,437.54730686196,457.55816161244,489.30340830564,523.2511306012],"description":"Dave Keenan 31-ET mode has 3 4:5:6:7 tetrads + 3 inv. is Fokker's 12-tone mode"},"keenan2":{"frequencies":[261.6255653006,278.14493936283,295.70736791055,306.84360659709,326.21810583671,346.81593583087,369.99442271164,393.35634555235,418.19337019276,433.94238997708,461.34206956593,490.47180009913,523.2511306012],"description":"Dave Keenan strange 9-limit temperament TL 19-11-98"},"keenan3":{"frequencies":[261.6255653006,272.10155294862,282.99701916355,314.19580976213,326.77681046955,339.86157848985,377.32935907335,392.4383479509,408.1523292189,453.14877154631,471.29371440761,523.2511306012],"description":"Chain of 1/6 kleisma tempered 6/5s, 10 tetrads, Dave Keenan, 30-Jun-99, TD235"},"keenan3eb":{"frequencies":[261.6255653006,272.52625793573,283.88113057344,314.31833892864,327.41448875753,341.05629284549,377.62371824792,393.35750206077,409.74683779238,453.67913385439,472.5817850056,523.2511306012],"description":"Chain of 11 equal beating minor thirds, 6/5=3/2 same"},"keenan3eb2":{"frequencies":[261.6255653006,271.88912362492,282.55531921581,314.13446783,326.45794787121,339.26487744082,377.18204004818,391.97887331053,407.35618327602,452.88341485066,470.6500094,523.2511306012],"description":"Chain of 11 equal beating minor thirds, 6/5=3/2 opposite"},"keenan3j":{"frequencies":[261.6255653006,291.88463270656,302.72962012827,313.97755176024,350.29154279212,363.30663963964,405.32593044476,420.38583225541,436.00528786292,486.43275040712,504.50618240233,523.2511306012],"description":"Chain of 11 nearly just 19-tET minor thirds, Dave Keenan, 1-Jul-99"},"keenan7":{"frequencies":[261.6255653006,269.29177952703,279.86396690685,288.06460709314,296.5055443788,305.19382000629,314.13668154225,326.46944327063,336.03572815422,349.22823143301,359.46139971304,369.99442271164,380.8360868427,391.99543598175,407.38487419079,419.32216217931,435.78442404634,448.5538823653,461.69751437372,475.22628419761,489.15147723638,508.3551866238,523.2511306012],"description":"Dave Keenan, 22 out of 72-tET periodicity block. TL 29-04-2001"},"keenanmt":{"frequencies":[261.6255653006,279.93529690293,292.50627485027,305.64177427204,327.03195662575,349.91912034749,365.63284274659,391.22147055517,418.60090448096,437.39890198442,457.04105241293,489.02683710225,523.2511306012],"description":"Dave Keenan 1/4-comma tempered version of keenan with 6 7-limit tetrads"},"keenanst":{"frequencies":[261.6255653006,268.50609092997,277.46533822773,286.72352888229,294.26410920268,304.08282473376,314.22916151277,322.49311613356,333.25374941849,342.01803421352,353.43015577174,365.22306367425,374.82811589307,387.33500976677,397.52158713557,410.7856943143,424.4923875554,435.65616946139,450.19271626925,462.0323945472,477.44903730562,493.38008744487,506.35555615636,523.2511306012],"description":"Dave Keenan, 7-limit temperament, g=260.353"},"kelletat":{"frequencies":[261.6255653006,275.58617649731,292.98704147282,310.05056613125,327.14272545641,348.82502010853,367.43868454848,391.99543598175,413.39000965417,437.97145880542,465.08793784701,489.90551202062,523.2511306012],"description":"Herbert Kelletat's Bach-tuning (1967)"},"kellner":{"frequencies":[261.6255653006,275.62199471997,292.73769384471,310.07474405997,327.54963108844,348.83408706747,367.49599295996,391.37619916626,413.43299207996,437.91808280662,465.11211608996,491.32444638706,523.2511306012],"description":"Herbert Anton Kellner's Bach tuning. 5 1/5 Pyth. comma and 7 pure fifths"},"kellners":{"frequencies":[261.6255653006,275.84425785506,292.86986732103,310.2247482054,327.84547867349,348.89032888179,367.85164222246,391.46454285105,413.69968681881,438.2147004401,465.26210635182,491.68894399626,523.2511306012],"description":"Kellner's temperament with 1/5 synt. comma instead of 1/5 Pyth. 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(1619)"},"kilroy":{"frequencies":[261.6255653006,294.32876096318,313.95067836072,327.03195662575,348.83408706747,367.91095120397,392.4383479509,418.60090448096,436.04260883433,441.49314144476,465.11211608996,490.54793493862,523.2511306012],"description":"Kilroy"},"kimball":{"frequencies":[261.6255653006,272.52663052146,275.93321340298,290.69507255622,294.32876096318,306.59245933664,327.03195662575,331.11985608357,348.83408706747,363.36884069528,367.91095120397,392.4383479509,408.78994578219,436.04260883433,441.49314144476,459.88868900496,465.11211608996,490.54793493862,523.2511306012],"description":"Buzz Kimball 18-note just 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scale"},"kirkwood":{"frequencies":[261.6255653006,294.32876096318,305.22982618403,327.03195662575,348.83408706747,392.4383479509,436.04260883433,457.84473927605,523.2511306012],"description":"Scale based on Kirkwood gaps of the asteroid belt"},"kirn-stan":{"frequencies":[261.6255653006,276.16031892841,292.60754013883,310.68035879446,327.03195662575,348.83408706747,368.21375857121,392.4383479509,414.24047839262,437.1900893839,465.11211608996,490.54793493862,523.2511306012],"description":"Kirnberger temperament improved by Charles Earl Stanhope (1806)"},"kirnberger":{"frequencies":[261.6255653006,275.62199471997,292.50627485027,310.07474405997,327.03195662575,348.83408706747,367.91095120397,391.22147055517,413.43299207996,437.39890198442,465.11211608996,490.54793493862,523.2511306012],"description":"Kirnberger's well-temperament, also called Kirnberger III, letter to Forkel 1779"},"kirnberger1":{"frequencies":[261.6255653006,275.62199471997,294.32876096318,310.07474405997,327.03195662575,348.83408706747,367.91095120397,392.4383479509,413.43299207996,438.75944753732,465.11211608996,490.54793493862,523.2511306012],"description":"Kirnberger's temperament 1 (1766)"},"kirnberger2":{"frequencies":[261.6255653006,275.93321340298,294.32876096318,310.07474405997,327.03195662575,348.83408706747,367.91095120397,392.4383479509,413.89982010446,438.75941205608,465.11211608996,490.54793493862,523.2511306012],"description":"Kirnberger 2: 1/2 synt. comma. \"Die Kunst des reinen Satzes\" (1774)"},"kirnberger3":{"frequencies":[261.6255653006,275.93321340298,292.50627485027,310.07474405997,327.03195662575,348.83408706747,367.91095120397,391.22147055517,413.89982010446,437.39890198442,465.11211608996,490.54793493862,523.2511306012],"description":"Kirnberger 3: 1/4 synt. comma (1744)"},"kirnberger3v":{"frequencies":[261.6255653006,275.93321340298,292.50063201309,310.07474405997,327.03195662575,348.83408706747,367.91095120397,391.21579858034,413.43299207996,437.39258595147,465.11211608996,490.54793493862,523.2511306012],"description":"Variant well-temperament like Kirnberger 3, Kenneth Scholz, MTO 4.4, 1998"},"klais":{"frequencies":[261.6255653006,275.62199471997,293.00227310437,310.07474405997,327.21690075602,348.83408706747,367.49599295996,391.99543598175,413.43299207996,438.01699797506,465.11211608996,489.99465727995,523.2511306012],"description":"Johannes Klais, Bach temperament"},"klonaris":{"frequencies":[261.6255653006,277.97716313189,294.32876096318,310.68035879446,327.03195662575,343.38355445704,359.73515228832,392.4383479509,408.78994578219,425.14154361347,457.84473927605,490.54793493862,523.2511306012],"description":"Johnny Klonaris, 19-limit harmonic scale"},"knot":{"frequencies":[261.6255653006,268.26840191956,280.31310567921,286.15296204753,294.32876096318,299.00064605783,306.59245933664,327.03195662575,348.83408706747,357.69120255941,366.27579142084,367.91095120397,381.53728273004,392.4383479509,408.78994578219,418.60090448096,429.2294430713,436.04260883433,448.50096908674,457.84473927605,459.88868900496,476.92160341255,478.40103369253,490.54793493862,523.2511306012],"description":"Smallest knot in 3-D, American Scientist, Nov-Dec '97 p506-510, trefoil knot"},"koepf_36":{"frequencies":[261.6255653006,272.26348829648,274.95017225036,277.18263097687,288.45311779165,291.29956028699,293.66476791741,305.60543275312,308.62113352716,311.12698372208,323.77767743764,326.97270111135,329.62755691287,343.03050002254,346.41550969045,349.22823143301,363.4281550135,367.0144478307,369.99442271164,385.03871768789,388.83826257328,391.99543598175,407.93431128975,411.95978887118,415.30469757995,432.19134773437,436.45619266906,440,457.89078262597,462.40922843744,466.16376151809,485.11838543951,489.90551202062,493.88330125613,513.96502576833,519.03680970905,523.2511306012],"description":"Siegfried Koepf, 36-tone subset of 48-tone scale 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(1991)"},"kolinsky":{"frequencies":[261.6255653006,277.2273508585,293.75953199293,311.27759533081,329.84032939425,349.51003591412,370.35272620855,392.4383479509,415.84102607989,440.63929776914,466.91639276282,494.76049384407,524.26505360912],"description":"Kolinsky's 7th root of 3/2, also invented by Augusto Novaro"},"kora1":{"frequencies":[261.6255653006,293.66476791741,326.78388880949,349.22823143301,391.99543598175,440,489.62261321254,523.2511306012],"description":"Kora tuning Tomora Ba, also called Silaba, 1/1=F, R. 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King"},"korea_5":{"frequencies":[261.6255653006,294.32876096318,348.83408706747,392.4383479509,470.92601754108,523.2511306012],"description":"According to Lou Harrison, called \"the Delightful\" in Korea"},"kornerup":{"frequencies":[261.6255653006,272.97226153513,280.22976278938,292.38332274669,305.0639823888,313.17470478367,326.75708630452,340.92853547661,349.99278713323,365.17196824772,374.88056242272,391.13935185123,408.10305876469,418.95303445734,437.12302030357,456.08130156398,468.2068441924,488.51296691354,509.70006023951,523.2511306012],"description":"Kornerup's temperament with fifth of (15 - sqrt 5) / 22 octaves"},"kornerup_11":{"frequencies":[261.6255653006,279.06726965397,290.69507255622,313.95067836072,327.03195662575,348.83408706747,392.4383479509,418.60090448096,436.04260883433,470.92601754108,490.54793493862,523.2511306012],"description":"Kornerup's doric 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tuning"},"kraeh_22a":{"frequencies":[261.6255653006,267.07609791103,269.10058145205,272.52663052146,274.70684356563,279.06726965397,280.31310567921,286.15296204753,294.32876096318,299.00064605783,305.22982618403,311.45900631024,313.95067836072,318.93402246168,320.49131749323,327.03195662575,336.37572681506,343.38355445704,348.83408706747,350.39138209902,353.19451315581,358.80077526939,366.27579142084,367.91095120397,373.75080757229,381.53728273004,392.4383479509,398.6675280771,400.61414686654,403.65087217807,408.78994578219,412.06026534844,418.60090448096,420.46965851882,436.04260883433,441.49314144476,448.50096908674,457.84473927605,467.18850946536,470.92601754108,476.92160341255,478.40103369253,488.36772189445,490.54793493862,498.33441009638,504.56359022259,523.2511306012],"description":"Kraehenbuehl & Schmidt 7-limit 22-tone tuning with \"inflections\" for some tones"},"kraeh_22b":{"frequencies":[261.6255653006,269.10058145205,279.06726965397,286.15296204753,299.00064605783,305.22982618403,313.95067836072,327.03195662575,336.37572681506,348.83408706747,358.80077526939,367.91095120397,381.53728273004,392.4383479509,408.78994578219,420.46965851882,436.04260883433,448.50096908674,457.84473927605,476.92160341255,490.54793493862,504.56359022259,523.2511306012],"description":"Best 22-tET approximation of KRAEH_22A"},"kring1":{"frequencies":[261.6255653006,313.95067836072,327.03195662575,348.83408706747,392.4383479509,418.60090448096,436.04260883433,523.2511306012],"description":"Double-tie circular mirroring of 4:5:6 and Partch's 5-limit tonality Diamond"},"kring1p3":{"frequencies":[261.6255653006,267.90457886781,272.52663052146,279.06726965397,282.55561052465,290.69507255622,294.32876096318,301.39265122629,306.59245933664,310.07474405997,313.95067836072,327.03195662575,334.88072358477,340.65828815182,348.83408706747,353.19451315581,363.36884069528,367.91095120397,372.08969287196,376.74081403286,387.59343007496,392.4383479509,401.85686830172,408.78994578219,418.60090448096,436.04260883433,441.49314144476,446.50763144636,454.2110508691,465.11211608996,470.92601754108,484.4917875937,490.54793493862,502.32108537715,510.98743222773,523.2511306012],"description":"Third carthesian power of double-tie mirroring of 4:5:6 with kleismas removed"},"kring2":{"frequencies":[261.6255653006,299.00064605783,305.22982618403,348.83408706747,392.4383479509,448.50096908674,457.84473927605,523.2511306012],"description":"Double-tie circular mirroring of 6:7:8"},"kring2p3":{"frequencies":[261.6255653006,265.7783520514,271.31540105247,288.32205155576,294.32876096318,299.00064605783,305.22982618403,310.07474405997,329.51091606373,336.37572681506,343.38355445704,348.83408706747,356.10146388137,384.42940207435,392.4383479509,398.6675280771,406.97310157871,415.4517078616,441.49314144476,448.50096908674,457.84473927605,465.11211608996,474.80195184183,504.56359022259,515.07533168556,523.2511306012],"description":"Third power of 6:7:8 mirroring with 1029/1024 intervals removed"},"kring3":{"frequencies":[261.6255653006,305.22982618403,313.95067836072,366.27579142084,373.75080757229,436.04260883433,448.50096908674,523.2511306012],"description":"Double-tie circular mirroring of 3:5:7"},"kring3bp":{"frequencies":[261.6255653006,336.37572681506,366.27579142084,436.04260883433,470.92601754108,560.62621135843,610.45965236807,784.8766959018],"description":"Double-tie BP circular mirroring of 3:5:7"},"kring4":{"frequencies":[261.6255653006,299.00064605783,327.03195662575,366.27579142084,373.75080757229,418.60090448096,457.84473927605,523.2511306012],"description":"Double-tie circular mirroring of 4:5:7"},"kring4p3":{"frequencies":[261.6255653006,267.90457886781,273.37201925287,280.42990280658,286.15296204753,293.02063313667,299.00064605783,305.10270005901,320.49131749323,327.03195662575,334.88072358477,341.71502406609,350.53737850823,357.69120255941,366.27579142084,373.75080757229,382.72082695402,390.53145607553,400.61414686654,408.78994578219,418.60090448096,427.14378008261,448.68784449053,457.84473927605,467.18850946536,478.40103369253,488.16432009441,500.76768358318,510.98743222773,523.2511306012],"description":"Third power of 4:5:7 mirroring with 3136/3125 intervals removed"},"kring5":{"frequencies":[261.6255653006,290.69507255622,336.37572681506,366.27579142084,373.75080757229,406.97310157871,470.92601754108,523.2511306012],"description":"Double-tie circular mirroring of 5:7:9"},"kring5p3":{"frequencies":[261.6255653006,266.96486255163,272.4643387202,278.02483542877,284.8811711051,290.69507255622,296.68339105088,302.73815413355,308.91648380975,316.53463456122,322.99452506247,329.64821227876,336.37572681506,343.24053756638,351.70514951247,358.88280562497,366.27579142084,373.75080757229,381.45007420827,389.23476960028,398.83363954714,406.97310157871,415.27867508032,423.83341578697,432.48307733364,443.14848838571,452.19233508746,461.42075008924,470.92601754108,480.53675259294,492.38720931745,502.43592787495,512.78610798918,523.2511306012],"description":"Third power of 5:7:9 mirroring with 250047/250000 intervals removed"},"kring6":{"frequencies":[261.6255653006,305.22982618403,336.37572681506,348.83408706747,392.4383479509,406.97310157871,448.50096908674,523.2511306012],"description":"Double-tie circular mirroring of 6:7:9"},"kring6p3":{"frequencies":[261.6255653006,267.07609791103,271.31540105247,276.96780524107,288.32205155576,294.32876096318,299.00064605783,305.22982618403,310.07474405997,316.53463456122,324.36230800023,329.51091606373,336.37572681506,343.38355445704,348.83408706747,356.10146388137,361.75386806997,369.29040698809,378.42269266694,384.42940207435,392.4383479509,398.6675280771,406.97310157871,415.4517078616,422.04617941496,432.48307733364,441.49314144476,448.50096908674,457.84473927605,465.11211608996,474.80195184183,494.26637409559,504.56359022259,512.57253609913,523.2511306012],"description":"Third power of 6:7:9 mirroring with 118098/117649 intervals removed"},"krousseau":{"frequencies":[261.6255653006,274.70684356563,294.32876096318,305.22982618403,343.38355445704,348.83408706747,366.27579142084,392.4383479509,406.97310157871,457.84473927605,465.11211608996,488.36772189445,523.2511306012],"description":"Kami Rousseau's tri-blues scale"},"krousseau2":{"frequencies":[261.6255653006,271.34627406517,291.88463270656,302.72962012827,337.74269681563,350.29154279212,363.30663963964,390.80553229045,405.32593044476,452.20508247496,469.00678383895,486.43275040712,523.2511306012],"description":"19-tET version of Kami Rousseau's tri-blues scale"},"kukuya":{"frequencies":[261.6255653006,307.37578701508,361.96165147221,412.67427966689,460.80941404108],"description":"African Kukuya Horns (aerophone, ivory, one note only)"},"kurzw_arab":{"frequencies":[261.6255653006,282.02769802256,290.29174037004,302.26980244078,321.16993719469,349.63190883464,374.94271441196,393.35634555235,411.95978887118,429.20598402782,447.69106452518,496.7443381147,523.2511306012],"description":"Kurzweil \"Empirical Arabic\""},"kurzw_harmp":{"frequencies":[261.6255653006,285.46954808622,287.62123438446,306.48933163909,308.79945157961,324.90175210669,345.81573716922,348.42227432308,427.72104413038,430.94493093825,458.94995811222,462.40922843744,523.2511306012],"description":"Kurzweil \"Empirical Bali/Java Harmonic Pelog\""},"kurzw_melp":{"frequencies":[261.6255653006,281.53940445957,283.98935579354,303.66981774726,307.02089761314,323.96475278212,344.02264297658,347.0163224393,421.10213511252,424.76655906637,451.06547253417,454.99063696457,523.2511306012],"description":"Kurzweil \"Empirical Bali/Java Melodic Pelog\""},"kurzw_slen":{"frequencies":[261.6255653006,266.96862289802,288.95340229325,306.66641795878,318.95145438803,352.26720984209,352.26720984209,389.06292924114,404.41509766528,429.20598402782,464.81937009253,474.03826620294,523.2511306012],"description":"Kurzweil \"Empirical Bali/Java Slendro, Siam 7\""},"kurzw_tibet":{"frequencies":[261.6255653006,270.53905136894,299.14332201883,312.9293240034,325.46525203475,353.69443592699,373.86139962101,397.69714089209,408.87792937274,438.98455767189,471.30800669535,489.90551202062,523.2511306012],"description":"Kurzweil \"Empirical Tibetian Ceremonial\""},"kwazy":{"frequencies":[13.75,13.8425266748,13.92142234948,14.00076777204,14.0805654254,14.16081788707,14.25610896047,14.337361936,14.41907801447,14.50125983535,14.58391005315,14.66703125278,14.76572882594,14.84988638999,14.93452361174,15.01964313826,15.10524789197,15.20689431811,15.29356631363,15.38073220905,15.46839499707,15.55655742089,15.66124080485,15.75050226619,15.84027256598,15.93055451337,16.0213510245,16.11266503216,16.22109048883,16.31354291552,16.40652227664,16.50003157548,16.59407373656,16.70573878851,16.80095347779,16.89671084507,16.99301388521,17.08986590459,17.18726993397,17.30292672931,17.40154500258,17.50072545316,17.60047118468,17.70078541898,17.81989766631,17.92146252619,18.023606257,18.12633215803,18.22964354736,18.35231459047,18.45691397115,18.56210951808,18.66790462912,18.77430261304,18.88130712282,19.00836345475,19.11670199894,19.22565790976,19.335234928,19.44543648263,19.57628896102,19.68786429416,19.80007566685,19.91292659048,20.02642071019,20.16118263857,20.27609169854,20.39165568498,20.50787833065,20.62476338959,20.74231451743,20.88189396397,21.00091073243,21.12060583931,21.24098302814,21.36204643183,21.50579618625,21.62836889778,21.75164008927,21.875613993,22.00029448845,22.14833914981,22.27457391904,22.40152829449,22.52920624893,22.65761190639,22.78674941445,22.94008616579,23.07083364148,23.202326315,23.33456843363,23.46756413327,23.62548236417,23.76013626908,23.89555763659,24.03175070206,24.16872014141,24.30647024079,24.47003364934,24.60950094889,24.74976328722,24.89082505353,25.03269080417,25.2011409598,25.3447753621,25.48922841152,25.63450477396,25.78060914191,25.95409219477,26.10201805756,26.25078702673,26.40040390759,26.55087337946,26.70220060843,26.88188539622,27.03509923475,27.18918616153,27.34415146685,27.5],"description":"Kwazy temperament, g=162.741892, p=600, 5-limit"},"lambdoma5_12":{"frequencies":[261.6255653006,21.80213044172,23.78414230005,26.16255653006,29.06950725562,32.70319566257,37.37508075723,43.60426088343,47.56828460011,52.32511306012,58.13901451124,65.40639132515,71.35242690016,74.75016151446,78.48766959018,87.20852176687,95.13656920022,98.10958698772,104.65022612024,109.01065220858,112.12524227169,116.27802902249,118.92071150027,130.8127826503,145.34753627811,149.50032302891,156.97533918036,163.51597831288,174.41704353373,186.87540378614,196.21917397545,209.30045224048,218.02130441717,261.6255653006,327.03195662575,348.83408706747,392.4383479509,436.04260883433,523.2511306012,654.0639132515,784.8766959018,1046.5022612024,1308.127826503],"description":"5x12 Lambdoma"},"lambdoma_prim":{"frequencies":[261.6255653006,8.43953436454,9.02157121726,11.37502457829,13.76976659477,15.38973913533,16.87906872907,18.04314243452,20.12504348466,22.75004915657,23.78414230005,25.31860309361,27.06471365179,27.53953318954,30.77947827066,34.12507373486,37.37508075723,40.25008696932,41.30929978431,42.19767182268,45.10785608631,46.16921740599,47.56828460011,52.32511306012,56.87512289143,59.07674055175,60.37513045398,63.15099852083,68.84883297384,71.35242690016,74.75016151446,76.94869567665,79.62517204801,87.20852176687,96.38836616338,100.62521742331,104.65022612024,107.72817394731,112.12524227169,118.92071150027,130.8127826503,140.87530439263,156.97533918036,166.48899610038,174.41704353373,186.87540378614,261.6255653006,366.27579142084,392.4383479509,436.04260883433,523.2511306012,610.45965236807,654.0639132515,784.8766959018,915.6894785521,1308.127826503,1831.3789571042],"description":"Prime Lambdoma"},"lambert":{"frequencies":[261.6255653006,276.15600972046,293.19138048956,310.67551062492,328.56569462012,349.50994910362,368.20801314466,391.67947347082,414.23401437362,438.93663604468,466.01326570444,491.89550004992,523.2511306012],"description":"Lambert's temperament (1774) 1/7 Pyth. comma, 5 pure"},"lara":{"frequencies":[261.6255653006,286.4606265643,298.28060863281,313.11013128311,341.05478972476,377.11473546037,395.40657391157,420.13030572059,450.02449304881,492.74350578058,523.2511306012,577.23956595248,599.67057787333],"description":"Sundanese 'multi-laras' gamelan Ki Barong tuning, Weintraub, TL 15-2-99 1/1=497"},"lebanon":{"frequencies":[261.6255653006,285.30470202322,311.12698372208,349.22823143301,391.99543598175,415.30469757995,466.16376151809,523.2511306012],"description":"Lebanese scale? Dastgah Shur"},"leedy":{"frequencies":[261.6255653006,269.80136421624,290.69507255622,294.32876096318,305.22982618403,327.03195662575,348.83408706747,359.73515228832,392.4383479509,436.04260883433,441.49314144476,457.84473927605,490.54793493862,523.2511306012],"description":"Douglas Leedy, scale for \"Pastorale\" (1987), 1/1=f, 10/9 only in vocal parts"},"leeuw1":{"frequencies":[261.6255653006,311.12698372208,349.22823143301,380.8360868427,415.30469757995,466.16376151809,508.3551866238,554.36526195375,604.53960488156,659.25511382574,739.98884542327,806.96355802011,880,987.76660251225],"description":"Ton de Leeuw: non-oct. mode from \"Car nos vignes sont en fleurs\",part 5. 1/1=A"},"leftpistol":{"frequencies":[261.6255653006,275.93321340298,279.06726965397,294.32876096318,327.03195662575,348.83408706747,367.91095120397,392.4383479509,418.60090448096,436.04260883433,441.49314144476,490.54793493862,523.2511306012],"description":"Left Pistol"},"legros1":{"frequencies":[261.6255653006,274.22463192287,292.50627485027,309.49749487796,327.03195662575,348.83408706747,365.63284274659,391.22147055517,411.33694767869,437.39890198442,465.11211608996,489.02683710225,523.2511306012],"description":"Example of temperament with 3 just major thirds"},"legros2":{"frequencies":[261.6255653006,275.07759559501,292.50627485027,309.49749487796,327.03195662575,348.83408706747,366.77012764335,391.22147055517,412.61639318626,437.39890198442,465.11211608996,489.02683710225,523.2511306012],"description":"Example of temperament with 2 just major thirds"},"lehman-bach":{"frequencies":[261.6255653006,276.86979852503,293.00227310437,310.77584116741,328.14198392915,349.6228209638,369.15973155124,391.5530240856,414.83597850347,438.51190905657,465.63764214343,492.21297564769,523.2511306012],"description":"Brad Lehman's Bach keyboard temperament"},"lemba10":{"frequencies":[261.6255653006,283.65327551057,298.9489942119,324.1191713102,341.59697290141,370.35792032269,401.5404117335,423.19307614937,458.82405293702,483.56568031466,524.27976214079],"description":"10-note Lemba scale, Herman Miller"},"lemba12":{"frequencies":[261.6255653006,276.1173031791,283.29759227608,298.9897683987,323.75689816556,341.69016129748,369.99442271164,390.48883496177,400.64329718448,422.83538548023,457.86139629758,483.22286023634,523.2511306012],"description":"Lemba[12] in 270-et (poptimal)"},"lemba22":{"frequencies":[261.6255653006,268.42900262332,276.1173031791,283.29759227608,298.9897683987,306.76484424299,315.55115201964,323.75689816556,341.69016129748,350.57563899649,360.61677037127,369.99442271164,379.61593604418,390.48883496177,400.64329718448,422.83538548023,433.83100318771,446.25671880862,457.86139629758,483.22286023634,495.78882330645,509.98912747823,523.2511306012],"description":"Lemba[22] in 270-et (poptimal)"},"lemba24":{"frequencies":[261.6255653006,275.73346179752,283.65327551057,290.60211247891,298.9489942119,307.53562105228,315.06951922004,324.1191713102,332.05932738876,341.59697290141,351.40856549044,360.01724743313,370.35792032269,390.32910012969,401.5404117335,411.37720579947,423.19307614937,435.34833037897,446.01333880095,458.82405293702,470.06416125332,483.56568031466,497.45499966368,509.64147516102,524.27976214079],"description":"24-note Lemba scale for mapping millerlemba24.kbm"},"lemba8":{"frequencies":[261.6255653006,275.73334871592,283.6533803711,298.94898212432,307.53584843097,324.11927802481,341.59694330429,351.4088110982,370.358025147],"description":"Lemba temperament (4 down, 3 up) TOP tuning, Herman Miller, TL 22-11-2004"},"leusden":{"frequencies":[261.6255653006,275.54404190554,292.50627485027,310.51268695591,327.03195662575,349.91912034749,367.08095907728,391.22147055517,413.66634097248,437.39890198442,466.16376151809,489.02683710225,523.2511306012],"description":"Organ in Gereformeerde kerk De Koningshof, Henk van Eeken, 1984, a'=415, modif. 1/4 mean"},"leven":{"frequencies":[261.6255653006,279.06726965397,298.97057995496,313.95067836072,330.39003879965,348.83408706747,369.35382642901,392.4383479509,418.60090448096,448.46752658184,465.11211608996,502.32108537715,523.2511306012],"description":"Leven's monochord ?"},"ligon":{"frequencies":[261.6255653006,279.66870773512,292.40504357126,309.19384990071,329.87571277032,342.12573923925,366.27579142084,392.4383479509,411.12588832951,436.04260883433,462.87600014722,485.87604984397,523.2511306012],"description":"Jacky Ligon, strictly proper all prime scale, TL 08-09-2000"},"ligon2":{"frequencies":[261.6255653006,276.16031892841,292.40504357126,310.68035879446,331.39238271409,355.06326719367,382.37582620857,411.78935130154,441.2028763945,470.61640148747,500.02992658044,529.4434516734,558.85697676637],"description":"Jacky Ligon, 19-limit symmetrical non-octave scale, 2001"},"ligon3":{"frequencies":[261.6255653006,273.51763645063,286.54228580542,300.86940009569,316.70463167967,334.29933343966,341.25073734861,376.08675011961,401.15920012759,427.90314680276,471.58492637221,481.3910401531,508.13498682828,534.87893350345,561.62288017862,588.36682685379,615.11077352897],"description":"Jacky Ligon, 23-limit non-octave scale (2001)"},"ligon4":{"frequencies":[261.6255653006,278.49926570678,289.46759601673,308.13698517552,320.27237341115,340.92853547661,362.91692931321,386.32347802158,401.53832428939,427.43578342293,444.26952759254,472.92296174596,491.54841572131,523.2511306012,556.99853141357,592.92249142473,616.27397035104,640.54474682231,681.85707095323,725.83385862642,754.41987838254,803.07664857879],"description":"Jacky Ligon, 2/1 Phi Scale, TL 12-04-2001"},"ligon5":{"frequencies":[261.6255653006,273.22765669781,280.653851324,293.09977429907,314.41721066027,328.36040925687,337.28508524374,352.24238645938,377.86132347501,394.61802538749,405.34378524393,423.31898451752,454.1076550834,474.24531572837,487.13535379632,508.73764640933,545.73895363303],"description":"Jacky Ligon, scale for \"Two Golden Flutes\" (2001)"},"ligon6":{"frequencies":[261.6255653006,280.653851324,293.09977429907,314.41721066027,328.36040925687,352.24238645938,377.86132347501,394.61802538749,423.31898451752,442.09155952525,474.24531572837,508.73764640933,531.29821178855,569.94005600595],"description":"Jacky Ligon, \"Primal Golden Tuning\" (2001)"},"ligon7":{"frequencies":[261.6255653006,294.32876096318,321.08592105074,361.22166118208,394.05999401681,443.31749326891,483.61908356609,527.58445479937],"description":"Jacky Ligon, 7 tone, 27/22=generator, MMM 22-01-2002"},"lindley_ea":{"frequencies":[261.6255653006,275.62199471997,293.00227310437,310.07474405997,328.14198392915,349.6228209638,367.9112241576,391.5530240856,413.43299207996,438.51190905657,465.63764214343,491.10256480205,523.2511306012],"description":"Mark Lindley +J. de Boer +W. Drake (1991), for organ Grosvenor Chapel, London"},"lindley_sf":{"frequencies":[261.6255653006,276.24519242498,293.00227310437,310.07474405997,328.14198392915,349.6228209638,368.32692341742,391.5530240856,413.90012676351,438.51190905657,465.63764214343,491.10256480205,523.2511306012],"description":"Lindley (1988) suggestion nr. 2 for Stanford Fisk organ"},"ling-lun":{"frequencies":[261.6255653006,279.38237857051,294.32876096318,314.30517589183,331.11985608357,353.59332287831,372.50983809402,392.4383479509,419.07356785577,441.49314144476,471.45776383774,496.67978412536,523.2511306012],"description":"Scale of Ling Lun from C"},"liu_major":{"frequencies":[261.6255653006,290.69507255622,322.99452506247,348.83408706747,392.4383479509,436.04260883433,484.4917875937,523.2511306012],"description":"Linus Liu's Major Scale, see his 1978 book, \"Intonation Theory\""},"liu_mel":{"frequencies":[261.6255653006,290.69507255622,313.95067836072,348.83408706747,392.4383479509,423.83341578697,436.04260883433,470.92601754108,484.4917875937,523.2511306012],"description":"Linus Liu's Melodic Minor, use 5 and 7 descending and 6 and 8 ascending"},"liu_minor":{"frequencies":[261.6255653006,290.69507255622,313.95067836072,348.83408706747,387.59343007496,418.60090448096,484.4917875937,523.2511306012],"description":"Linus Liu's Harmonic Minor"},"liu_pent":{"frequencies":[261.6255653006,294.32876096318,331.11985608357,353.19451315581,392.4383479509,441.49314144476,496.67978412536,529.79176973372],"description":"Linus Liu's \"pentatonic scale\""},"lorina":{"frequencies":[261.6255653006,271.31540105247,293.02063313667,305.22982618403,313.95067836072,348.83408706747,348.83408706747,385.55346465352,406.97310157871,457.84473927605,457.84473927605,465.11211608996,523.2511306012],"description":"Lorina"},"lt46a":{"frequencies":[261.6255653006,265.62583852249,273.73233506765,277.91772325275,286.39934942254,290.77841553921,299.65253047503,308.79746990018,313.51900484808,323.08712797864,328.02715279963,338.03804253716,348.35444940179,353.68081538041,364.47461587782,370.04745828823,381.3407438317,387.1714705201,398.98735486934,411.16384203565,417.45056598488,430.19052226982,436.76816801564,450.09766813034,463.83396431287,470.92601754108,485.29796386361,492.71820372913,507.75521382755,523.2511306012],"description":"13-limit temperament, minimax g=495.66296 cents"},"lucy_19":{"frequencies":[261.6255653006,272.17716319349,280.81422591737,292.13972001074,301.4102593031,313.56641022552,326.2128298123,336.56461921066,350.13857756143,364.25998604447,375.81913491042,390.97626371576,406.74469336313,419.65201956185,436.57696862128,450.43096951372,468.59726172356,487.49621708267,502.96605061019,523.2511306012],"description":"Lucy's 19-tone scale"},"lucy_24":{"frequencies":[261.6255653006,269.92785558198,272.17712546173,280.81425349217,292.13970819848,301.41031849758,303.92192719902,313.56642833783,326.21280343239,336.56467170065,339.36921655583,350.13858362887,364.25994396351,375.81917832675,390.97625694066,403.38329512334,406.744629928,419.65205349792,436.57694340361,450.43105016925,454.18442712942,468.59728067062,487.49616921257,502.96612033609,523.2511306012],"description":"Lucy/Harrison, meantone tuning from Bbb to Cx, third=1200.0/pi, 1/1=A"},"lucy_31":{"frequencies":[261.6255653006,269.92785558198,272.17712546173,280.81425349217,283.15423815518,292.13970819848,301.41031849758,303.92192719902,313.56642833783,323.51698308414,326.21280343239,336.56467170065,339.36921655583,350.13858362887,361.24970022276,364.25994396351,375.81917832675,378.95082751155,390.97625694066,403.38329512334,406.744629928,419.65205349792,432.96907456701,436.57694340361,450.43105016925,454.18442712942,468.59728067062,483.46750424654,487.49616921257,502.96612033609,507.15726445705,523.2511306012],"description":"Lucy/Harrison's meantone tuning, 1/1=A"},"lucy_7":{"frequencies":[261.6255653006,292.13972001074,326.2128298123,350.13857756143,390.97626371576,436.57696862128,487.49621708267,523.2511306012],"description":"Diatonic Lucy's scale"},"lumma5":{"frequencies":[261.6255653006,279.06726965397,294.32876096318,306.59245933664,327.03195662575,348.83408706747,367.91095120397,392.4383479509,418.60090448096,436.04260883433,459.88868900496,490.54793493862,523.2511306012],"description":"Carl Lumma's 5-limit version of lumma7, also Fokker 12-tone just."},"lumma7":{"frequencies":[261.6255653006,279.06726965397,293.02063313667,305.22982618403,327.03195662575,348.83408706747,366.27579142084,390.69417751556,418.60090448096,436.04260883433,457.84473927605,488.36772189445,523.2511306012],"description":"Carl Lumma's 7-limit 12-tone scale, a.k.a GW Smith's Prism. TL 21-11-98"},"lumma7t":{"frequencies":[261.6255653006,279.68948643792,293.67396186758,305.56991806333,326.66797434652,349.22276480589,366.68390442934,392.00157215927,419.06732091375,436.04260883433,457.84473927605,489.45662770953,523.2511306012],"description":"Tempered lumma7, 6 tetrads + 4 triads within 2c of Just, TL 19-2-99"},"lumma7t72":{"frequencies":[261.6255653006,279.86396690685,293.66476791741,305.19382000629,326.46944327063,349.22823143301,366.44956000397,391.99543598175,419.32216217931,435.78442404634,457.27406033445,489.15147723638,523.2511306012],"description":"72-tET version of lumma7t"},"lumma7t_keen":{"frequencies":[261.6255653006,279.95098841649,293.39965821869,305.14186035122,326.51537799354,349.38597341375,366.17023517096,391.81845653432,419.26317124465,436.04260556019,456.98979229899,488.99939844699,523.2511306012],"description":"Dave Keenan's adaptation of lumma7t to include 6:8:11, TL 17-04-9"},"lumma_10":{"frequencies":[261.6255653006,281.2143451833,302.26980244078,324.90175210669,349.22823143301,375.37611551499,391.99543598175,421.34544350737,452.89298412314,486.80259447109,523.2511306012],"description":"Carl Lumma's 10-tone 125 cent Pyth. scale, TL 29-12-1999"},"lumma_12_fun":{"frequencies":[261.6255653006,276.16031892841,293.246794009,310.68035879446,327.94037872749,348.23056788569,368.93292606842,390.99572534534,413.52379936426,439.8701910135,464.30742384759,491.05951174505,522.34585182853],"description":"Rational well temperament based on 577/289, 3/2, and 19/16."},"lumma_12_moh-ha-ha":{"frequencies":[261.6255653006,276.16031892841,293.42033886144,310.68035879446,330.09788121912,349.51540364377,368.93292606842,391.72740891476,414.24047839262,440.13050829216,466.02053819169,493.4335110265,523.2511306012],"description":"Rational well temperament."},"lumma_12_strangeion":{"frequencies":[261.6255653006,277.97716313189,292.40504357126,310.68035879446,330.09788121912,349.23197505989,368.93292606842,391.9912339477,414.71297038361,440.63253103259,468.17206422213,492.47165233054,523.2511306012],"description":"19-limit \"dodekaphonic\" scale."},"lumma_22":{"frequencies":[261.6255653006,263.29318697558,262.98919438538,262.83732973433,262.68555277841,262.53386346698,263.29318697558,262.38226174944,262.98919438538,262.23074757519,263.29318697558,262.68555277841,262.07932089369,263.29318697558,262.83732973433,263.59753095473,262.38226174944,263.44531501617,262.68555277841,262.98919438538,263.29318697558,263.902226729,261.92798165442],"description":"Carl Lumma, intervals of attraction by trial and error, 1999."},"lumma_5151":{"frequencies":[261.6255653006,276.7826524273,292.81785438923,309.78204413166,327.729041887,346.71578592374,369.67398581173,391.09077971329,413.74834001613,437.71854962063,463.0774559108,489.90551202062,522.3451906503],"description":"Carl Lumma's 5151 temperament III (1197/709.5/696). June 2003"},"lumma_al1":{"frequencies":[261.6255653006,274.63272075836,292.81785438923,309.78204413166,327.729041887,346.71578592374,366.8025131876,391.09077971329,413.74834001613,437.71854962063,463.0774559108,489.90551202062,522.3451906503],"description":"Alaska I (1197/709.5/696), Carl Lumma, 6 June 2003."},"lumma_al2":{"frequencies":[261.6255653006,275.18850165466,292.98704147282,310.05056613125,328.10786809908,347.216824829,367.43868454848,391.20374747207,413.98739946535,438.09796819065,463.6127330944,490.61347436729,522.3451906503],"description":"Alaska II (1197/707/696.5), Carl Lumma, 6 June 2003."},"lumma_al3":{"frequencies":[261.6255653006,275.18850165466,292.98704147282,310.05056613125,328.10786809908,349.32910706765,367.43868454848,391.20374747207,413.98739946535,438.09796819065,463.6127330944,490.61347436729,522.3451906503],"description":"Alaska III (1197/707/696.5), Carl Lumma, 6 June 2003."},"lumma_al4":{"frequencies":[261.6255653006,276.38325105256,293.32570896007,309.87152561537,328.86683469969,349.02656754477,368.7143392539,391.31674786192,413.39000965417,438.73106346722,464.55095742407,491.89038573682,522.04355935974],"description":"Alaska IV (1196/701/697), Carl Lumma, 6 June 2003."},"lumma_al5":{"frequencies":[261.6255653006,276.84261239447,293.89809826895,310.99222741882,329.08061019985,349.35433052883,369.67398581173,391.17550247358,415.27471248744,439.42852501549,464.98720675925,493.63374591774,522.3451906503],"description":"Alaska V (1197/702/696.375), Carl Lumma, 6 June 2003."},"lumma_al6":{"frequencies":[261.6255653006,276.86260193655,293.83444433876,310.94732162256,329.05685050583,349.22823143301,369.56723519412,391.09077971329,415.06487744922,439.23819834286,464.81937009253,493.31307433255,522.04355935974],"description":"Alaska VI (1196/701/696), Carl Lumma, 6 June 2003."},"lumma_al7":{"frequencies":[261.6255653006,276.11677207256,293.26810788146,310.16878953668,328.73958549954,348.42227432308,368.499294457,391.39134599911,413.94674961638,438.72852926454,464.99660740427,491.79379203259,522.3451906503],"description":"Alaska VII, Carl Lumma, 27 Jan 2004"},"lumma_dec1":{"frequencies":[261.6255653006,286.10322937235,299.18791603519,327.17991022208,342.14320575162,374.15409293384,391.26571058456,427.87249484695,457.55816161244,489.30340830564,523.2511306012],"description":"Carl Lumma, two 5-tone 7/4-chains, 5/4 apart in 31-tET, TL 9-2-2000"},"lumma_dec2":{"frequencies":[261.6255653006,286.10322937235,292.57243455474,327.17991022208,342.14320575162,382.6142546815,391.26571058456,437.54730686196,457.55816161244,511.68128147674,523.2511306012],"description":"Carl Lumma, two 5-tone 3/2-chains, 7/4 apart in 31-tET, TL 9-2-2000"},"lumma_magic":{"frequencies":[261.6255653006,293.02063313667,299.00064605783,313.95067836072,327.03195662575,348.83408706747,366.27579142084,373.75080757229,418.60090448096,436.04260883433,457.84473927605,467.18850946536,523.2511306012],"description":"Magic chord test, Carl Lumma, TL 24-06-99"},"lumma_synchtrines+2":{"frequencies":[261.6255653006,277.1478691313,293.59111644706,311.009943641,329.46223568632,349.00930447981,369.71610741159,391.65144749868,414.88821865981,439.50363030131,465.57948255979,493.20241832805,522.46423212702],"description":"The 12-tone equal temperament with 2:3:4 brats of +2"},"lumma_synchtrines-2":{"frequencies":[261.6255653006,277.19623399848,293.69359242342,311.17279259662,329.69226891672,349.31393351076,370.10338321153,392.13011885309,415.46777761785,440.19437666896,466.39258399594,494.14997995304,523.55935978973],"description":"The 12-tone equal temperament with 2:3:4 brats of -2"},"lydian_chrom":{"frequencies":[261.6255653006,275.39533189537,290.69507255622,307.79478270659,317.12189733406,327.03195662575,373.75080757229,402.50086969323,418.60090448096,427.14378008261,436.04260883433,475.68284600109,523.2511306012,550.79066379074,581.39014511244,615.58956541318,634.24379466812,654.0639132515,747.50161514457,805.00173938646,837.20180896192,854.28756016522,872.08521766867,951.36569200218,1046.5022612024],"description":"Lydian Chromatic Tonos"},"lydian_chrom2":{"frequencies":[261.6255653006,272.09058791262,283.42769574232,340.11323489078,377.90359432309,400.13321751856,425.14154361347,523.2511306012],"description":"Schlesinger's Lydian Harmonia in the chromatic genus"},"lydian_chrominv":{"frequencies":[261.6255653006,271.68808704293,281.75060878526,362.25078272391,402.50086969323,422.62591317789,442.75095666255,523.2511306012],"description":"A harmonic form of Schlesinger's Chromatic Lydian inverted"},"lydian_diat":{"frequencies":[261.6255653006,275.39533189537,290.69507255622,327.03195662575,348.83408706747,373.75080757229,387.59343007496,402.50086969323,436.04260883433,455.00098313148,475.68284600109,498.33441009638,523.2511306012,550.79066379074,581.39014511244,654.0639132515,697.66817413493,747.50161514457,852.70554616492,805.00173938646,872.08521766867,910.00196626296,951.36569200218,996.66882019276,1046.5022612024],"description":"Lydian Diatonic Tonos"},"lydian_diat2":{"frequencies":[261.6255653006,283.42769574232,309.19384990071,340.11323489078,358.01393146398,377.90359432309,425.14154361347,485.87604984397,523.2511306012],"description":"Schlesinger's Lydian Harmonia, a subharmonic series through 13 from 26"},"lydian_diat2inv":{"frequencies":[261.6255653006,281.75060878526,322.00069575458,362.25078272391,382.37582620857,402.50086969323,442.75095666255,483.00104363188,523.2511306012],"description":"Inverted Schlesinger's Lydian Harmonia, a harmonic series from 13 from 26"},"lydian_diatcon":{"frequencies":[261.6255653006,283.42769574232,309.19384990071,340.11323489078,358.01393146398,425.14154361347,485.87604984397,523.2511306012],"description":"A Lydian Diatonic with its own trite synemmenon replacing paramese"},"lydian_enh":{"frequencies":[261.6255653006,275.39533189537,290.69507255622,299.00064605783,303.33398875432,307.79478270659,373.75080757229,402.50086969323,410.39304360878,414.45634107026,418.60090448096,475.68284600109,523.2511306012,550.79066379074,581.39014511244,598.00129211566,606.66797750864,615.58956541318,747.50161514457,805.00173938646,820.78608721757,828.91268214051,837.20180896192,951.36569200218,1046.5022612024],"description":"Lydian Enharmonic Tonos"},"lydian_enh2":{"frequencies":[261.6255653006,266.75547834571,272.09058791262,340.11323489078,377.90359432309,388.70083987518,400.13321751856,523.2511306012],"description":"Schlesinger's Lydian Harmonia in the enharmonic genus"},"lydian_enhinv":{"frequencies":[261.6255653006,266.65682617177,271.68808704293,362.25078272391,402.50086969323,412.56339143556,422.62591317789,523.2511306012],"description":"A harmonic form of Schlesinger's Enharmonic Lydian inverted"},"lydian_pent":{"frequencies":[261.6255653006,269.93113880221,283.42769574232,340.11323489078,377.90359432309,395.48050568695,425.14154361347,523.2511306012],"description":"Schlesinger's Lydian Harmonia in the pentachromatic genus"},"lydian_pis":{"frequencies":[261.6255653006,290.69507255622,327.03195662575,373.75080757229,402.50086969323,436.04260883433,475.68284600109,523.2511306012,550.79066379074,581.39014511244,654.0639132515,747.50161514457,805.00173938646,872.08521766867,951.36569200218,1046.5022612024],"description":"The Diatonic Perfect Immutable System in the Lydian Tonos"},"lydian_tri":{"frequencies":[261.6255653006,268.51044859798,275.76748774928,340.11323489078,377.90359432309,392.4383479509,408.13588186894,523.2511306012],"description":"Schlesinger's Lydian Harmonia in the first trichromatic genus"},"lydian_tri2":{"frequencies":[261.6255653006,268.51044859798,283.42769574232,340.11323489078,377.90359432309,392.4383479509,425.14154361347,523.2511306012],"description":"Schlesinger's Lydian Harmonia in the second trichromatic genus"},"nachbaur_6":{"frequencies":[261.6255653006,294.32876096318,327.03195662575,359.73515228832,392.4383479509,457.84473927605,523.2511306012],"description":"Fred Nachbaur's harmonic hexatonic, as used in \"Void of Sensation\""},"nassarre":{"frequencies":[261.6255653006,277.66336828161,294.34406205295,311.66659310186,331.15428443044,350.6431449633,372.56793743951,394.49404533893,419.16071913933,443.82887286778,471.58032351597,495.88429116026,523.2511306012],"description":"Nassarre's Equal Semitones"},"negri5_19":{"frequencies":[261.6255653006,271.22480440713,281.41555648081,291.74090527404,302.70251050738,313.80889368201,325.59966315504,337.54616011163,350.22880998446,363.07896889448,376.72096510961,390.54314115106,405.21705098851,420.08476989056,435.86864979507,451.86099895106,468.83881245397,486.04086171852,504.30291533224,523.2511306012],"description":"Negri temperament, g=126.238272, 5-limit"},"negri_19":{"frequencies":[261.6255653006,269.02825605326,281.18681366715,289.14299126725,302.21061955257,310.76166549402,324.80633749066,333.99672707734,349.09149261831,358.96903024071,375.19240283292,392.14898023137,403.24482870584,421.46921730446,433.39468387282,452.98167562873,465.79878414581,486.85025820508,500.62567766841,523.2511306012],"description":"Negri temperament, 13-limit, g=124.831"},"negri_29":{"frequencies":[261.6255653006,269.02825605326,276.64040740805,281.18681366715,289.14299126725,297.32428710198,302.21061955257,310.76166549402,319.55466133443,324.80633749066,333.99672707734,343.44715857517,349.09149261831,358.96903024071,369.1260526158,375.19240283292,385.80846524917,392.14898023137,403.24482870584,414.65463641221,421.46921730446,433.39468387282,445.65757880387,452.98167562873,465.79878414581,478.97855252217,486.85025820508,500.62567766841,514.79087238232,523.2511306012],"description":"Negri temperament, 13-limit, g=124.831"},"neid-mar-morg":{"frequencies":[261.6255653006,277.49581689502,293.99657683935,311.12698372208,329.99999983505,349.6228209638,369.99442271164,392.4383479509,415.77394625748,440,466.69047534984,494.44133512215,523.2511306012],"description":"Neidhardt-Marpurg-de Morgan temperament (1858)"},"neidhardt1":{"frequencies":[261.6255653006,276.24519242498,293.00227310437,310.42509491746,328.14198392915,348.83408706747,368.32692341742,391.5530240856,414.36778843034,438.51190905657,465.11211608996,491.65745674141,523.2511306012],"description":"Neidhardt I temperament (1724)"},"neidhardt2":{"frequencies":[261.6255653006,276.55731914056,293.00227310437,310.77584116741,328.51274831708,349.22823143301,369.15973155124,391.5530240856,414.36778843034,438.51190905657,466.16376151809,492.7691222293,523.2511306012],"description":"Neidhardt II temperament (1724)"},"neidhardt3":{"frequencies":[261.6255653006,276.55731914056,293.00227310437,310.77584116741,328.51274831708,348.83408706747,369.15973155124,391.5530240856,414.36778843034,438.51190905657,465.63764214343,492.7691222293,523.2511306012],"description":"Neidhardt III temperament (1724) 'Grosse Stadt'"},"neidhardt4":{"frequencies":[261.6255653006,277.18263097687,293.66476791741,311.12698372208,329.62755691287,349.22823143301,369.99442271164,391.99543598175,415.30469757995,440,466.16376151809,493.88330125613,523.2511306012],"description":"Neidhardt IV temperament (1724), equal temperament"},"neidhardtn":{"frequencies":[261.6255653006,276.86979852503,293.66476791741,310.77584116741,329.62755691287,348.83408706747,369.99442271164,391.5530240856,415.30469757995,439.50340943686,466.16376151809,493.32589719545,523.2511306012],"description":"Johann Georg Neidhardt's temperament (1732), alt. 1/6 & 0 P, also Marpurg nr.10"},"neogeb24":{"frequencies":[261.6255653006,270.11478301563,282.39420473706,291.55732426372,295.23185084282,304.81152420286,308.65309481038,318.66826025208,333.15492371116,343.96512368902,348.30015108876,359.6017829051,375.94928703407,388.14807710176,393.03994675222,405.79329398283,424.24066266408,438.00640969567,443.52664897728,457.91818970179,463.68937649142,478.73515685363,500.49846361623,516.73862125829,523.2511306012],"description":"Neo-Gothic e-based lineotuning (T/S or Blackwood's R=e, ~2.71828), 24 notes"},"neogji12":{"frequencies":[261.6255653006,282.52678126125,294.32876096318,317.84262891891,332.97799220076,348.83408706747,374.60024122586,392.4383479509,423.79017189188,441.49314144476,443.97065626768,499.46698830115,523.2511306012],"description":"M. Schulter, neo-Gothic 12-note JI (prim. 2/3/7/11) 1/1=F with Eb key as D+1"},"neogp16a":{"frequencies":[261.6255653006,274.38778799819,281.28352228595,295.02457363685,309.19384990071,317.19205704586,332.33517754401,348.83408706747,366.27579142084,374.86334014511,392.4383479509,411.12588832951,422.62591317789,442.75095666255,464.34856430463,498.91386871277,523.2511306012],"description":"M. Schulter, scale from mainly prime-to-prime ratios and octave complements (Gb-D#)"},"neutr_diat":{"frequencies":[261.6255653006,294.32876096318,320.24370022528,348.83408706747,392.4383479509,427.47405410759,479.82340237272,523.2511306012],"description":"Neutral Diatonic, 9 + 9 + 12 parts, geometric mean of major and minor"},"neutr_pent1":{"frequencies":[261.6255653006,302.32287545847,348.83408706747,392.4383479509,453.48431318771,523.2511306012],"description":"Quasi-Neutral Pentatonic 1, 15/13 x 52/45 in each trichord, after Dudon"},"neutr_pent2":{"frequencies":[261.6255653006,301.87565226992,348.83408706747,392.4383479509,452.81347840488,523.2511306012],"description":"Quasi-Neutral Pentatonic 2, 15/13 x 52/45 in each trichord, after Dudon"},"new_enh":{"frequencies":[261.6255653006,264.89588486686,279.06726965397,348.83408706747,392.4383479509,397.34382730029,418.60090448096,523.2511306012],"description":"New Enharmonic"},"new_enh2":{"frequencies":[261.6255653006,327.03195662575,331.11985608357,348.83408706747,392.4383479509,490.54793493862,496.67978412536,523.2511306012],"description":"New Enharmonic permuted"},"newcastle":{"frequencies":[261.6255653006,273.65745935891,291.9012907804,312.65334602246,327.03195662575,350.28154752005,366.3906401674,390.81668391305,410.48618883318,436.04260883433,467.04206359353,490.54793493862,523.2511306012],"description":"Newcastle modified 1/3-comma meantone"},"norden":{"frequencies":[261.6255653006,274.87601291722,292.73769384471,310.07474405997,327.54963108844,349.78078158391,366.5013507395,391.37619916626,412.31401916973,437.91808280662,466.37437567834,489.99465727995,523.2511306012],"description":"Reconstructed Schnitger temperament, organ in Norden. Ortgies, 2002"},"novaro":{"frequencies":[261.6255653006,274.70684356563,279.06726965397,290.69507255622,294.32876096318,299.00064605783,305.22982618403,313.95067836072,327.03195662575,336.37572681506,348.83408706747,366.27579142084,373.75080757229,392.4383479509,406.97310157871,418.60090448096,436.04260883433,448.50096908674,457.84473927605,465.11211608996,470.92601754108,490.54793493862,498.33441009638,523.2511306012],"description":"9-limit diamond with 21/20, 16/15, 15/8 and 40/21 added for evenness"},"novaro15":{"frequencies":[261.6255653006,279.06726965397,280.31310567921,281.75060878526,283.42769574232,285.40970760065,287.78812183066,290.69507255622,294.32876096318,299.00064605783,301.87565226992,305.22982618403,309.19384990071,313.95067836072,319.76457981184,322.00069575458,327.03195662575,332.97799220076,336.37572681506,340.11323489078,348.83408706747,356.76213450082,359.73515228832,362.25078272391,366.27579142084,373.75080757229,377.90359432309,380.54627680087,383.71749577421,392.4383479509,402.50086969323,406.97310157871,411.12588832951,418.60090448096,425.14154361347,428.11456140098,436.04260883433,442.75095666255,448.50096908674,453.48431318771,457.84473927605,465.11211608996,470.92601754108,475.68284600109,479.64686971777,483.00104363188,485.87604984397,488.36772189445,490.54793493862,523.2511306012],"description":"1-15 diamond, see Novaro, 1927, Sistema Natural base del Natural-Aproximado, p"},"novaro_eb":{"frequencies":[261.6255653006,277.27733921611,293.70273468471,311.34510173929,329.85947563084,349.74559786079,370.61463194963,392.51515715445,416.03831243363,440.72414616847,467.23897542105,495.06435356607,524.26505360912],"description":"Novaro (?) equal beating 4/3 with strectched octave, almost pure 3/2"},"janke1":{"frequencies":[261.6255653006,276.38325105256,293.32570896007,310.58830860439,328.86683469969,349.02656754477,368.7143392539,391.76907592069,414.34624765043,439.23819834286,465.62553897253,492.45896815637,523.2511306012],"description":"Rainer Janke, Temperatur I"},"janke2":{"frequencies":[261.6255653006,276.38325105256,292.98704147282,310.58830860439,328.48713220126,349.02656754477,368.7143392539,391.54284657258,414.34624765043,438.73106346722,465.62553897253,491.89038573682,523.2511306012],"description":"Rainer Janke, Temperatur II"},"janke3":{"frequencies":[261.6255653006,276.22365192501,292.98704147282,310.40895756597,328.29744538229,349.02656754477,368.50142299854,391.54284657258,414.10698098223,438.47771564426,465.62553897253,491.60634075178,523.2511306012],"description":"Rainer Janke, Temperatur III"},"janke4":{"frequencies":[261.6255653006,275.90473010106,292.98704147282,310.76776326996,328.10786809908,349.22823143301,368.07595926604,391.54284657258,413.86785247997,438.47771564426,465.89457252293,491.32245979018,523.2511306012],"description":"Rainer Janke, Temperatur IV"},"janke5":{"frequencies":[261.6255653006,275.58617649731,292.98704147282,310.05056613125,328.10786809908,348.82502010853,367.43868454848,391.54284657258,413.39000965417,438.47771564426,465.08793784701,491.0387427573,523.2511306012],"description":"Rainer Janke, Temperatur V"},"janke6":{"frequencies":[261.6255653006,275.74540729824,292.98704147282,310.58830860439,328.10786809908,349.43001184052,367.65098676472,391.54284657258,413.86785247997,438.47771564426,465.89457252293,491.0387427573,523.2511306012],"description":"Rainer Janke, Temperatur VI"},"janke7":{"frequencies":[261.6255653006,275.42703764514,292.81785438923,311.12698372208,327.91840028839,349.63190883464,367.0144478307,391.54284657258,413.62886206386,438.22451411849,467.24207374344,490.75518955849,523.2511306012],"description":"Rainer Janke, Temperatur VII"},"jemblung1":{"frequencies":[261.6255653006,298.87388797409,337.89601991959,388.44742741354,452.30188977628,523.2511306012],"description":"Scale of bamboo gamelan jemblung from Kalijering, slendro-like. 1/1=590 Hz."},"jemblung2":{"frequencies":[261.6255653006,300.03885820455,355.06324470257,391.40016308218,451.61555914985,523.2511306012],"description":"Bamboo gamelan jemblung at Royal Batavia Society. 1/1=504 Hz."},"ji_10coh":{"frequencies":[261.6255653006,283.42769574232,299.7792935736,327.03195662575,348.83408706747,370.63621750918,392.4383479509,436.04260883433,457.84473927605,485.0974023282,523.2511306012],"description":"Differentially coherent 10-tone scale"},"ji_10coh2":{"frequencies":[261.6255653006,305.22982618403,313.95067836072,348.83408706747,366.27579142084,392.4383479509,418.60090448096,436.04260883433,470.92601754108,479.64686971777,523.2511306012],"description":"Other diff. coherent 10-tone scale"},"ji_11":{"frequencies":[261.6255653006,276.96780524107,294.32876096318,316.53463456122,336.37572681506,356.10146388137,384.42940207435,406.97310157871,432.48307733364,465.11211608996,494.26637409559,523.2511306012],"description":"3 and 7 prime rational interpretation of 11-tET. OdC 2000"},"ji_12":{"frequencies":[261.6255653006,279.06726965397,294.32876096318,313.95067836072,327.03195662575,348.83408706747,366.27579142084,392.4383479509,418.60090448096,436.04260883433,470.92601754108,490.54793493862,523.2511306012],"description":"Basic JI with 7-limit tritone"},"ji_12a":{"frequencies":[261.6255653006,279.06726965397,294.32876096318,305.22982618403,327.03195662575,348.83408706747,366.27579142084,392.4383479509,418.60090448096,448.50096908674,457.84473927605,490.54793493862,523.2511306012],"description":"7-limit 12-tone scale"},"ji_12b":{"frequencies":[261.6255653006,272.52663052146,290.69507255622,305.22982618403,327.03195662575,343.38355445704,366.27579142084,392.4383479509,418.60090448096,448.50096908674,457.84473927605,490.54793493862,523.2511306012],"description":"alternate 7-limit 12-tone scale"},"ji_12c":{"frequencies":[261.6255653006,272.52663052146,294.32876096318,313.95067836072,327.03195662575,348.83408706747,367.91095120397,392.4383479509,418.60090448096,436.04260883433,457.84473927605,490.54793493862,523.2511306012],"description":"Kurzweil \"Just with natural b7th\", is Sauveur Just with 7/4"},"ji_13":{"frequencies":[261.6255653006,279.06726965397,294.32876096318,310.07474405997,327.03195662575,348.83408706747,367.91095120397,372.08969287196,392.4383479509,418.60090448096,441.49314144476,465.11211608996,490.54793493862,523.2511306012],"description":"5-limit 12-tone symmetrical scale with two tritones"},"ji_17":{"frequencies":[261.6255653006,271.31540105247,283.8170195002,294.32876096318,310.07474405997,321.55899383997,336.37572681506,348.83408706747,361.75386806997,378.42269266694,392.4383479509,406.97310157871,425.72552925031,441.49314144476,465.11211608996,482.33849075995,504.56359022259,523.2511306012],"description":"3 and 7 prime rational interpretation of 17-tET. OdC"},"ji_17a":{"frequencies":[261.6255653006,272.52663052146,282.55561052465,294.32876096318,310.07474405997,321.08592105074,334.88072358477,348.83408706747,363.36884069528,376.74081403286,392.4383479509,408.78994578219,426.35277308246,441.49314144476,465.11211608996,484.4917875937,502.32108537715,523.2511306012],"description":"3, 5 and 11 prime rational interpretation of 17-tET, OdC"},"ji_17b":{"frequencies":[261.6255653006,272.52663052146,285.40970760065,294.32876096318,310.07474405997,319.76457981184,334.88072358477,348.83408706747,359.73515228832,380.54627680087,392.4383479509,408.78994578219,428.11456140098,441.49314144476,465.11211608996,479.64686971777,502.32108537715,523.2511306012],"description":"Alt. 3, 5 and 11 prime rational interpretation of 17-tET, OdC"},"ji_19":{"frequencies":[261.6255653006,272.52663052146,275.93321340298,279.06726965397,294.32876096318,306.59245933664,313.95067836072,327.03195662575,348.83408706747,353.19451315581,367.91095120397,392.4383479509,408.78994578219,418.60090448096,436.04260883433,441.49314144476,459.88868900496,470.92601754108,490.54793493862,523.2511306012],"description":"5-limit 19-tone scale"},"ji_20":{"frequencies":[261.6255653006,271.31540105247,279.38237857051,288.32205155576,299.00064605783,310.07474405997,321.55899383997,331.11985608357,348.83408706747,356.10146388137,372.50983809402,384.42940207435,392.4383479509,413.43299207996,425.72552925031,441.49314144476,457.84473927605,474.80195184183,489.99465727995,504.56359022259,523.2511306012],"description":"3 and 7 prime rational interpretation of 20-tET. OdC"},"ji_21":{"frequencies":[261.6255653006,271.31540105247,279.06726965397,290.69507255622,299.00064605783,305.22982618403,313.95067836072,327.03195662575,336.37572681506,348.83408706747,366.27579142084,373.75080757229,392.4383479509,406.97310157871,418.60090448096,436.04260883433,448.50096908674,457.84473927605,470.92601754108,490.54793493862,504.56359022259,523.2511306012],"description":"7-limit 21-tone just scale, Op de Coul, 2001"},"ji_22":{"frequencies":[261.6255653006,272.52663052146,279.06726965397,282.55561052465,294.32876096318,306.59245933664,313.95067836072,327.03195662575,334.88072358477,340.65828815182,348.83408706747,363.36884069528,376.74081403286,392.4383479509,408.78994578219,418.60090448096,436.04260883433,454.2110508691,470.92601754108,490.54793493862,502.32108537715,510.98743222773,523.2511306012],"description":"5-limit 22-tone scale (Zarlino?)"},"ji_27":{"frequencies":[261.6255653006,267.90457886781,275.62199471997,282.55561052465,290.69507255622,299.00064605783,305.22982618403,313.95067836072,320.49131749323,331.11985608357,336.37572681506,348.83408706747,356.10146388137,366.27579142084,373.75080757229,384.42940207435,392.4383479509,406.97310157871,413.43299207996,427.14378008261,436.04260883433,448.50096908674,457.84473927605,470.92601754108,484.4917875937,496.67978412536,510.98743222773,523.2511306012],"description":"7-limit rational interpretation of 27-tET, OdC"},"ji_29":{"frequencies":[261.6255653006,267.90457886781,275.62199471997,282.55561052465,287.78812183066,294.32876096318,301.39265122629,310.07474405997,317.12189733406,323.76163705949,331.11985608357,340.65828815182,348.83408706747,356.76213450082,367.91095120397,372.08969287196,383.71749577421,392.4383479509,401.85686830172,413.43299207996,422.82919644541,431.68218274599,441.49314144476,454.2110508691,465.11211608996,475.68284600109,484.4917875937,496.67978412536,510.98743222773,523.2511306012],"description":"3,5,11-prime rational interpretation of 29-tET, OdC"},"ji_30":{"frequencies":[261.6255653006,267.57160087561,274.70684356563,280.31310567921,286.15296204753,294.32876096318,299.7792935736,308.34441624714,313.95067836072,321.92208230347,329.64821227876,336.37572681506,344.91651675372,353.19451315581,360.81424763342,370.01329949656,379.40816842909,387.59343007496,396.89567239676,406.97310157871,415.27867508032,425.24536328225,436.04260883433,443.97065626768,456.65553216105,465.11211608996,478.40103369253,488.36772189445,498.33441009638,511.62332769895,523.2511306012],"description":"11-limit rational interpretation of 30-tET"},"ji_31":{"frequencies":[261.6255653006,267.57160087561,274.08392555301,280.31310567921,285.40970760065,293.02063313667,299.00064605783,305.22982618403,313.95067836072,319.76457981184,327.03195662575,334.88072358477,343.38355445704,348.83408706747,356.76213450082,366.27579142084,373.75080757229,383.71749577421,392.4383479509,398.6675280771,408.78994578219,418.60090448096,428.11456140098,436.04260883433,448.50096908674,457.84473927605,467.18850946536,479.64686971777,490.54793493862,499.46698830115,512.78610798918,523.2511306012],"description":"A just 11-limit 31-tone scale, optimized for Mann complexity"},"ji_31a":{"frequencies":[261.6255653006,267.90457886781,272.52663052146,279.06726965397,286.15296204753,294.32876096318,299.00064605783,305.22982618403,313.95067836072,318.93402246168,327.03195662575,334.88072358477,343.38355445704,348.83408706747,358.80077526939,366.27579142084,373.75080757229,381.53728273004,392.4383479509,398.6675280771,408.78994578219,418.60090448096,429.2294430713,436.04260883433,448.50096908674,457.84473927605,465.11211608996,478.40103369253,490.54793493862,502.32108537715,510.98743222773,523.2511306012],"description":"A just 7-limit 31-tone scale"},"ji_31b":{"frequencies":[261.6255653006,267.90457886781,275.93321340298,282.55561052465,287.4304306281,294.32876096318,301.39265122629,306.59245933664,313.95067836072,319.36714514233,327.03195662575,334.88072358477,344.91651675372,353.19451315581,359.28803828513,367.91095120397,376.74081403286,383.2405741708,392.4383479509,401.85686830172,408.78994578219,418.60090448096,431.14564594215,441.49314144476,452.08897683944,459.88868900496,470.92601754108,479.0507177135,490.54793493862,502.32108537715,510.98743222773,523.2511306012],"description":"A just 5-limit 31-tone scale, corner clipped genus"},"ji_31c":{"frequencies":[261.6255653006,267.57160087561,272.52663052146,279.06726965397,285.40970760065,294.32876096318,299.00064605783,305.22982618403,313.95067836072,319.76457981184,327.03195662575,334.88072358477,343.38355445704,348.83408706747,359.73515228832,366.27579142084,373.75080757229,380.54627680087,392.4383479509,398.6675280771,408.78994578219,418.60090448096,428.11456140098,436.04260883433,448.50096908674,457.84473927605,465.11211608996,479.64686971777,490.54793493862,502.32108537715,511.62332769895,523.2511306012],"description":"A just 11-limit 31-tone scale"},"ji_5coh":{"frequencies":[261.6255653006,305.22982618403,348.83408706747,381.53728273004,446.94367405519,523.2511306012],"description":"Differential fully coherent pentatonic scale"},"ji_6coh":{"frequencies":[261.6255653006,294.32876096318,330.74639366397,372.08969287196,418.60090448096,465.11211608996,523.2511306012],"description":"Differential coherent 6-tone scale, OdC 2003"},"ji_7":{"frequencies":[261.6255653006,290.69507255622,318.93402246168,348.83408706747,392.4383479509,429.2294430713,470.92601754108,523.2511306012],"description":"7-limit rational interpretation of 7-tET. OdC"},"ji_7a":{"frequencies":[261.6255653006,287.78812183066,319.76457981184,348.83408706747,392.4383479509,428.11456140098,470.92601754108,523.2511306012],"description":"Superparticular approximation to 7-tET. Op de Coul, 1998"},"ji_8coh":{"frequencies":[261.6255653006,286.99041781007,312.35527031954,339.96223546814,370.00947616612,405.83764015148,441.71144237774,480.75585116768,523.2511306012],"description":"Differential coherent 8-tone scale, OdC, 2003"},"ji_8coh3":{"frequencies":[261.6255653006,277.97716313189,302.50455987882,327.03195662575,359.73515228832,392.4383479509,425.14154361347,466.02053819169,523.2511306012],"description":"Differential fully coherent 8-tone scale, OdC, 2003"},"ji_9coh":{"frequencies":[261.6255653006,287.78812183066,313.95067836072,327.03195662575,366.27579142084,392.4383479509,418.60090448096,470.92601754108,497.08857407114,523.2511306012],"description":"Differentially coherent 9-tone scale"},"ji_ri24a":{"frequencies":[261.6255653006,269.10058145205,277.01530443593,285.40970760065,294.32876096318,301.87565226992,310.68035879446,319.76457981184,329.87571277032,340.11323489078,348.83408706747,359.73515228832,370.63621750918,380.54627680087,392.4383479509,402.50086969323,414.99227599406,428.11456140098,440.63253103259,453.48431318771,465.11211608996,479.64686971777,494.18162334558,508.71637697339,523.2511306012],"description":"M. Schulter, just/rational intonation system - with circulating 24-note set"},"jioct12":{"frequencies":[261.6255653006,272.52663052146,282.55561052465,302.80736724606,313.95067836072,327.03195662575,363.36884069528,376.74081403286,392.4383479509,436.04260883433,454.2110508691,470.92601754108,523.2511306012],"description":"12-tone JI version of Messiaen's octatonic scale, Erlich & Par�zek"},"jobin-bach":{"frequencies":[261.6255653006,275.07759559501,292.50627485027,309.76836826904,327.03195662575,348.83408706747,366.77012764335,391.22147055517,412.61639318626,437.39890198442,464.6525521713,489.02683710225,523.2511306012],"description":"Emile Jobin, WTC temperament after Bach's signet"},"johnson-secor_rwt":{"frequencies":[261.6255653006,276.16031892841,293.03678286293,310.07474405997,327.94037872749,348.83408706747,368.21375857121,391.52992584916,414.24047839262,438.40450629885,465.11211608996,490.95167809495,523.2511306012],"description":"Johnson/Secor proportional-beating well-temperament with five 24/19s."},"johnson_44":{"frequencies":[261.6255653006,265.7783520514,269.99705605222,274.2827236086,278.63641763414,283.05921791404,287.55222124002,292.11654190835,296.75331210627,301.46368356757,306.24882108355,311.17820103386,316.11753722951,321.13527558179,326.23266245367,331.4109583385,336.67144939063,342.01544029518,347.44425644654,352.9592442771,358.56177366235,364.2532300084,370.03502692537,375.90859839047,381.87540114246,387.93691728375,394.09464571975,400.35011587045,406.70487919155,413.16051176499,419.71861468993,426.38081694263,433.14876596753,440.02414274758,447.00865248514,454.10402744924,461.31203006992,468.63444275836,476.07308421189,483.62979961065,491.30646309654,499.10497838378,507.02727962797,515.07533168556,523.2511306012],"description":"Aaron Johnson, 44-tET approximation"},"johnson_7":{"frequencies":[261.6255653006,288.83389952765,318.87182567809,352.10227751942,388.71994014354,429.2294430713,473.86811641255,523.2511306012],"description":"Aaron Johnson, 7-tET approximation"},"johnson_eb":{"frequencies":[261.6255653006,273.1678696521,292.40504357126,312.71949922989,327.03195662575,349.65487315468,365.50630446407,390.89937403737,408.78994578219,437.06859144336,467.84806971401,488.62421754671,523.2511306012],"description":"Aaron Johnson, \"1/4-comma tempered\" equal beating C-G-D-A-E plus just thirds"},"johnson_ratwell":{"frequencies":[261.6255653006,276.16031892841,292.90688289089,310.07474405997,327.94037872749,348.83408706747,368.21375857121,391.49724879514,414.24047839262,438.30776524386,465.11211608996,490.95167809495,523.2511306012],"description":"Aaron Johnson, rational well-temperament with five 24/19's"},"johnson_temp":{"frequencies":[261.6255653006,275.52965735686,292.50638298357,309.88336774144,327.03195662575,348.76230617841,367.55223824197,391.22154286826,413.09299784305,437.39914452994,464.92072007996,490.30891677011,523.2511306012],"description":"Aaron Johnson, temperament with just 5/4, 24/19 and 19/15"},"johnston":{"frequencies":[261.6255653006,275.93321340298,294.32876096318,315.35224388912,327.03195662575,359.73515228832,367.91095120397,392.4383479509,401.35740131342,441.49314144476,457.84473927605,490.54793493862,523.2511306012],"description":"Ben Johnston's combined otonal-utonal scale"},"johnston_21":{"frequencies":[261.6255653006,272.52663052146,282.55561052465,294.32876096318,306.59245933664,313.95067836072,327.03195662575,334.88072358477,340.65828815182,348.83408706747,363.36884069528,376.74081403286,392.4383479509,408.78994578219,418.60090448096,436.04260883433,454.2110508691,470.92601754108,490.54793493862,502.32108537715,510.98743222773,523.2511306012],"description":"Johnston 21-note just enharmonic scale"},"johnston_22":{"frequencies":[261.6255653006,271.31540105247,279.06726965397,290.69507255622,299.00064605783,305.22982618403,313.95067836072,327.03195662575,336.37572681506,343.38355445704,353.19451315581,367.91095120397,378.42269266694,392.4383479509,406.97310157871,418.60090448096,436.04260883433,448.50096908674,457.84473927605,470.92601754108,490.54793493862,504.56359022259,523.2511306012],"description":"Johnston 22-note scale from end of string quartet nr. 4"},"johnston_25":{"frequencies":[261.6255653006,272.52663052146,275.93321340298,279.06726965397,290.69507255622,294.32876096318,306.59245933664,313.95067836072,327.03195662575,331.11985608357,334.88072358477,348.83408706747,353.19451315581,367.91095120397,376.74081403286,392.4383479509,408.78994578219,418.60090448096,436.04260883433,441.49314144476,459.88868900496,465.11211608996,470.92601754108,490.54793493862,502.32108537715,523.2511306012],"description":"Johnston 25-note just enharmonic scale"},"johnston_6-qt":{"frequencies":[261.6255653006,262.79353657426,266.47048317654,267.57160087561,271.31540105247,272.52663052146,277.4816601673,280.31310567921,284.23518205497,290.69507255622,294.32876096318,297.30177875068,299.7792935736,300.33547037059,305.22982618403,306.59245933664,310.07474405997,311.45900631024,316.53463456122,317.12189733406,319.76457981184,322.99452506247,327.03195662575,334.46450109452,339.14425131559,342.60490694126,348.83408706747,350.39138209902,355.29397756872,356.76213450082,361.75386806997,363.36884069528,367.91095120397,373.75080757229,381.53728273004,382.24514410802,387.59343007496,390.82337532559,392.4383479509,396.40237166758,399.70572476481,406.97310157871,408.78994578219,413.43299207996,420.46965851882,426.35277308246,436.04260883433,445.95266812602,452.19233508746,459.88868900496,465.11211608996,467.18850946536,475.68284600109,479.64686971777,484.4917875937,486.49381977384,490.54793493862,248.7057842981,498.33441009638,508.71637697339,516.79124009995,523.2511306012],"description":"11-limit complete system from Ben Johnston's _6th Quartet_"},"johnston_6-qt_row":{"frequencies":[261.6255653006,272.52663052146,290.69507255622,306.59245933664,327.03195662575,350.39138209902,363.36884069528,399.70572476481,408.78994578219,436.04260883433,445.95266812602,490.54793493862,508.71637697339],"description":"11-limit 'prime row' from Ben Johnston's \"6th Quartet\""},"johnston_81":{"frequencies":[116.54094037952,117.99770213426,119.33792294863,119.89808681021,120.82964698549,121.39681289533,122.77564089365,122.91427305652,124.31033640482,124.45070146973,125.86421560988,127.43751830501,127.89129259755,128.03570110055,129.48993375502,131.10855792696,132.74741490105,134.25516331721,134.88534766148,135.93335285867,136.57141450725,138.12259600536,138.27855718859,139.84912845542,141.59724256112,142.26189011172,143.87770417225,145.6761754744,147.49712766783,149.17240368579,151.03705873186,151.74601611917,153.46955111706,155.38792050603,157.33026951235,159.11723059817,159.29689788126,161.10619598065,161.86241719378,163.70085452487,163.8856974087,165.74711520643,165.93426862631,167.81895414651,169.91669107334,170.71426813406,172.6532450067,174.81141056928,176.9965532014,179.00688442294,179.84713021531,181.24447047823,182.095219343,184.16346134048,184.37140958479,186.46550460723,188.79632341482,189.68252014896,191.15627745751,191.83693889633,194.23490063253,196.66283689044,198.89653824771,199.12112235157,199.83014468368,201.38274497581,202.32802149222,204.62606815608,204.85712176088,207.18389400804,207.41783578289,209.77369268314,212.39586384168,213.39283516758,215.81655625837,218.5142632116,221.24569150175,223.75860552868,226.55558809779,227.61902417875,230.2043266756,233.08188075904],"description":"Johnston 81-note 5-limit scale of Sonata for Microtonal Piano"},"jorgensen":{"frequencies":[261.6255653006,269.51415085551,288.85811466493,309.59046173614,318.92511007349,352.12195684808,355.62605411908,388.77403176757,408.50706336067,429.24143792307,469.25139168707,473.92081401802,523.2511306012],"description":"Jorgensen's 5&7 temperament"},"jousse":{"frequencies":[261.6255653006,276.90198715646,293.15566421679,311.51473523959,328.62702621286,349.28097970329,369.20264759391,391.76800554826,415.35298052707,439.0631553946,466.60176257857,492.27019703794,523.2511306012],"description":"Temperament of Jean Jousse (1832)"},"jousse2":{"frequencies":[261.6255653006,277.21176919085,293.63180098233,311.16627887077,329.63881547742,349.36510452864,370.14670828388,392.04008509316,415.41939014292,440.0494382652,466.3511549761,494.0599599767,523.2511306012],"description":"Jean Jousse's quasi-equal temperament"},"quasi_5":{"frequencies":[261.6255653006,302.26980244078,349.22823143301,391.99543598175,452.89298412314,523.2511306012],"description":"Quasi-Equal 5-Tone in 24-tET, 5 5 4 5 5 steps"},"quasi_9":{"frequencies":[261.6255653006,281.2143451833,302.26980244078,324.90175210669,349.22823143301,391.99543598175,421.34544350737,452.89298412314,486.80259447109,523.2511306012],"description":"Quasi-Equal Enneatonic, Each \"tetrachord\" has 125 + 125 + 125 + 125 cents"},"quint_chrom":{"frequencies":[261.6255653006,277.01530443593,294.32876096318,348.83408706747,392.4383479509,415.52295665389,441.49314144476,523.2511306012],"description":"Aristides Quintilianus' Chromatic genus"},"oconnell":{"frequencies":[261.6255653006,267.57429119961,272.27874977392,278.46970304972,283.3657217904,288.34782337261,294.90414810658,300.08911516052,305.36524364276,312.30850472426,317.79947295261,323.38698268281,330.74001416845,336.55504284097,344.20748191927,350.25929591231,356.41751010259,364.52157313929,370.93054700815,377.45220049416,386.03454097812,392.82175095637,399.72829510222,408.81713953112,416.00491024634,423.31905787312],"description":"Walter O'Connell, Pythagorean scale of 25 octaves reduced by Phi. XH 15 (1993)"},"oconnell_11":{"frequencies":[261.6255653006,272.27874977392,288.34782337261,300.08911516052,312.30850472426,323.38698268281,344.20748191927,356.41751010259,370.93054700815,386.03454097812,408.81713953112,423.31905787312],"description":"Walter O'Connell, 11-note mode of 25-tone scale"},"oconnell_14":{"frequencies":[261.6255653006,272.27874977392,283.3657217904,288.34782337261,300.08911516052,312.30850472426,323.38698268281,336.55504284097,344.20748191927,356.41751010259,370.93054700815,386.03454097812,399.72829510222,408.81713953112,423.31905787312],"description":"Walter O'Connell, 14-note mode of 25-tone scale"},"oconnell_7":{"frequencies":[261.6255653006,283.3657217904,300.08911516052,323.38698268281,344.20748191927,370.93054700815,392.82175095637,423.31905787312],"description":"Walter O'Connell, 7-note mode of 25-tone scale"},"oconnell_9":{"frequencies":[261.6255653006,278.46970304972,294.90414810658,305.36524364276,323.38698268281,344.20748191927,364.52157313929,377.45220049416,399.72829510222,423.31905787312],"description":"Walter O'Connell, 9-tone mode of 25-tone scale"},"oconnell_9a":{"frequencies":[261.6255653006,272.27874977392,288.34782337261,305.36524364276,323.38698268281,344.20748191927,356.41751010259,377.45220049416,399.72829510222,423.31905787312],"description":"Walter O'Connell, 7+2 major mode analogy for 25-tone scale"},"octony_min":{"frequencies":[261.6255653006,294.32876096318,313.95067836072,327.03195662575,348.83408706747,392.4383479509,418.60090448096,490.54793493862,523.2511306012],"description":"Octony on Harmonic Minor, from Palmer on an album of Turkish music"},"octony_rot":{"frequencies":[261.6255653006,327.03195662575,348.83408706747,392.4383479509,408.78994578219,418.60090448096,436.04260883433,490.54793493862,523.2511306012],"description":"Rotated Octony on Harmonic Minor"},"octony_trans":{"frequencies":[261.6255653006,271.31540105247,279.06726965397,327.03195662575,348.83408706747,408.78994578219,420.46965851882,436.04260883433,523.2511306012],"description":"Complex 10 of p. 115, an Octony based on Archytas's Enharmonic,"},"octony_trans2":{"frequencies":[261.6255653006,271.31540105247,279.06726965397,315.35224388912,324.36230800023,336.37572681506,348.83408706747,504.56359022259,523.2511306012],"description":"Complex 6 of p. 115 based on Archytas's Enharmonic, an Octony"},"octony_trans3":{"frequencies":[261.6255653006,271.31540105247,279.06726965397,306.59245933664,315.35224388912,327.03195662575,348.83408706747,490.54793493862,523.2511306012],"description":"Complex 5 of p. 115 based on Archytas's Enharmonic, an Octony"},"octony_trans4":{"frequencies":[261.6255653006,271.31540105247,279.06726965397,336.37572681506,348.83408706747,420.46965851882,432.48307733364,448.50096908674,523.2511306012],"description":"Complex 11 of p. 115, an Octony based on Archytas's Enharmonic, 8 tones"},"octony_trans5":{"frequencies":[261.6255653006,271.31540105247,279.06726965397,317.94773560837,327.03195662575,339.14425131559,348.83408706747,508.71637697339,523.2511306012],"description":"Complex 15 of p. 115, an Octony based on Archytas's Enharmonic, 8 tones"},"octony_trans6":{"frequencies":[261.6255653006,269.10058145205,271.31540105247,279.06726965397,336.37572681506,345.98646186692,348.83408706747,358.80077526939,523.2511306012],"description":"Complex 14 of p. 115, an Octony based on Archytas's Enharmonic, 8 tones"},"octony_u":{"frequencies":[261.6255653006,280.31310567921,301.87565226992,327.03195662575,356.76213450082,392.4383479509,436.04260883433,490.54793493862,523.2511306012],"description":"7)8 octony from 1.3.5.7.9.11.13.15, 1.3.5.7.9.11.13 tonic (subharmonics 8-16)"},"odd1":{"frequencies":[261.6255653006,272.52663052146,313.95067836072,327.03195662575,376.74081403286,392.4383479509,408.78994578219,418.60090448096,436.04260883433,470.92601754108,490.54793493862,502.32108537715,523.2511306012],"description":"ODD-1"},"odd2":{"frequencies":[261.6255653006,290.69507255622,294.32876096318,306.59245933664,313.95067836072,327.03195662575,348.83408706747,363.36884069528,392.4383479509,436.04260883433,470.92601754108,490.54793493862,523.2511306012],"description":"ODD-2"},"oettingen":{"frequencies":[261.6255653006,264.89588486686,267.90457886781,272.52663052146,275.93321340298,279.06726965397,282.55561052465,287.4304306281,290.69507255622,294.32876096318,298.00787047521,301.39265122629,306.59245933664,310.42486507835,313.95067836072,317.87506184023,323.35923445661,327.03195662575,331.11985608357,334.88072358477,339.06673262958,344.91651675372,348.83408706747,353.19451315581,357.20610515709,363.36884069528,367.91095120397,372.50983809402,376.74081403286,383.2405741708,388.03108134794,392.4383479509,397.34382730029,401.85686830172,408.78994578219,413.89982010446,418.60090448096,423.83341578697,431.14564594215,436.04260883433,441.49314144476,446.50763144636,452.08897683944,459.88868900496,465.11211608996,470.92601754108,476.81259276034,485.03885168492,490.54793493862,496.67978412536,502.32108537715,510.98743222773,517.37477513058,523.2511306012],"description":"von Oettingen's Orthotonophonium tuning"},"oettingen2":{"frequencies":[261.6255653006,264.89588486686,267.90457886781,272.52663052146,275.93321340298,279.06726965397,282.55561052465,287.4304306281,290.69507255622,294.32876096318,297.67175429757,301.39265122629,306.59245933664,310.07474405997,313.95067836072,317.51653791741,322.99452506247,327.03195662575,331.11985608357,334.88072358477,340.65828815182,344.91651675372,348.83408706747,353.19451315581,357.20610515709,363.36884069528,367.91095120397,372.08969287196,376.74081403286,383.2405741708,387.59343007496,392.4383479509,396.89567239676,401.85686830172,408.78994578219,413.43299207996,418.60090448096,423.83341578697,431.14564594215,436.04260883433,441.49314144476,446.50763144636,454.2110508691,459.88868900496,465.11211608996,470.92601754108,476.27480687611,484.4917875937,490.54793493862,496.11959049595,502.32108537715,510.98743222773,516.79124009995,523.2511306012],"description":"von Oettingen's Orthotonophonium tuning with central 1/1"},"ogr10":{"frequencies":[261.6255653006,264.15640940857,271.89678302796,296.5055443788,342.56848033562,359.46139971304,411.32572372413,440,484.46499093218,513.27277840175,523.2511306012],"description":"Optimal Golomb Ruler of 10 segments, length 72"},"ogr10a":{"frequencies":[261.6255653006,264.15640940857,285.30470202322,314.13668154225,329.62755691287,352.60650301302,431.60923940535,448.5538823653,457.27406033445,508.3551866238,523.2511306012],"description":"2nd Optimal Golomb Ruler of 10 segments, length 72"},"ogr11":{"frequencies":[261.6255653006,265.92749183559,274.74472021414,318.1829357186,331.4244391468,362.52783176564,371.50609336774,409.69842558521,455.51656649021,482.27514684959,486.22402266421,523.2511306012],"description":"Optimal Golomb Ruler of 11 segments, length 85"},"ogr12":{"frequencies":[261.6255653006,265.06964174786,270.3209511875,308.09015504092,333.2396629384,346.57411320722,384.79959982017,413.49815209867,456.11269186454,468.20039948765,496.58195036371,499.83980314828,523.2511306012],"description":"Optimal Golomb Ruler of 12 segments, length 106"},"ogr2":{"frequencies":[261.6255653006,329.62755691287,523.2511306012],"description":"Optimal Golomb Ruler of 2 segments, length 3"},"ogr3":{"frequencies":[261.6255653006,293.66476791741,415.30469757995,523.2511306012],"description":"Optimal Golomb Ruler of 3 segments, length 6"},"ogr4":{"frequencies":[261.6255653006,278.64197723942,336.62443200122,461.29362042034,523.2511306012],"description":"Optimal Golomb Ruler of 4 segments, length 11"},"ogr4a":{"frequencies":[261.6255653006,296.76515515861,406.67242132093,433.12283887627,523.2511306012],"description":"2nd Optimal Golomb Ruler of 4 segments, length 11"},"ogr5":{"frequencies":[261.6255653006,272.51337835337,307.97166902637,393.32961502355,426.7484383229,523.2511306012],"description":"Optimal Golomb Ruler of 5 segments, length 17"},"ogr5a":{"frequencies":[261.6255653006,272.51337835337,307.97166902637,393.32961502355,482.27514684959,523.2511306012],"description":"2nd Optimal Golomb Ruler of 5 segments, length 17"},"ogr5b":{"frequencies":[261.6255653006,272.51337835337,362.52783176564,426.7484383229,463.0066556268,523.2511306012],"description":"3rd Optimal Golomb Ruler of 5 segments, length 17"},"ogr5c":{"frequencies":[261.6255653006,272.51337835337,362.52783176564,409.69842558521,444.50800708553,523.2511306012],"description":"4th Optimal Golomb Ruler of 5 segments, length 17"},"ogr6":{"frequencies":[261.6255653006,268.98086109226,292.31087910123,345.21700307457,430.94493093825,495.02573326308,523.2511306012],"description":"Optimal Golomb Ruler of 6 segments, length 25"},"ogr6a":{"frequencies":[261.6255653006,276.5429423948,284.31762274025,345.21700307457,407.69874723177,468.32288027948,523.2511306012],"description":"2nd Optimal Golomb Ruler of 6 segments, length 25"},"ogr6b":{"frequencies":[261.6255653006,268.98086109226,354.92237405774,407.69874723177,443.06044202496,495.02573326308,523.2511306012],"description":"3rd Optimal Golomb Ruler of 6 segments, length 25"},"ogr6c":{"frequencies":[261.6255653006,268.98086109226,317.66442301495,354.92237405774,455.51656649021,495.02573326308,523.2511306012],"description":"4th Optimal Golomb Ruler of 6 segments, length 25"},"ogr6d":{"frequencies":[261.6255653006,276.5429423948,317.66442301495,375.1593523779,468.32288027948,481.48922855473,523.2511306012],"description":"5th Optimal Golomb Ruler of 6 segments, length 25"},"ogr7":{"frequencies":[261.6255653006,267.01398215014,283.85429714132,314.3146261019,355.21191871351,409.69842558521,502.34551296122,523.2511306012],"description":"Optimal Golomb Ruler of 7 segments, length 34"},"ogr8":{"frequencies":[261.6255653006,265.77967818767,283.06627815664,316.06708432391,387.90015179087,400.3161696196,454.08364189083,499.09751029017,523.2511306012],"description":"Optimal Golomb Ruler of 8 segments, length 44"},"ogr9":{"frequencies":[261.6255653006,264.94361147373,282.17583275232,296.76515515861,349.59519124833,363.06573983159,401.57942110183,438.61588607285,510.2272282764,523.2511306012],"description":"Optimal Golomb Ruler of 9 segments, length 55"},"oldani":{"frequencies":[261.6255653006,272.52663052146,294.32876096318,310.07474405997,327.03195662575,348.83408706747,367.91095120397,392.4383479509,408.78994578219,436.04260883433,465.11211608996,490.54793493862,523.2511306012],"description":"This scale by Norbert L. Oldani appeared in Interval 5(3), p.10-11"},"oljare":{"frequencies":[261.6255653006,286.15296204753,305.22982618403,327.03195662575,348.83408706747,381.53728273004,392.4383479509,406.97310157871,436.04260883433,457.84473927605,490.54793493862,508.71637697339,523.2511306012],"description":"Mats �ljare, scale for \"Tampere\" (2001)"},"oljare17":{"frequencies":[261.6255653006,272.51337835337,320.78822215662,334.13814720468,393.32961502355,409.69842558521,426.7484383229,502.34551296122,523.2511306012],"description":"Mats �ljare, scale for \"Fafner\" (2001), MOS in 17-tET"},"olympos":{"frequencies":[261.6255653006,279.06726965397,348.83408706747,372.08969287196,465.11211608996,523.2511306012],"description":"Scale of ancient Greek flutist Olympos, 6th century BC as reported by Partch"},"opelt":{"frequencies":[261.6255653006,272.52663052146,282.55561052465,294.32876096318,306.59245933664,313.95067836072,327.03195662575,334.88072358477,348.83408706747,363.36884069528,376.74081403286,392.4383479509,408.78994578219,418.60090448096,436.04260883433,454.2110508691,470.92601754108,490.54793493862,502.32108537715,523.2511306012],"description":"Friederich Wilhelm Opelt 19-tone"},"organ1373a":{"frequencies":[261.6255653006,277.01530443593,294.32876096318,311.64221749042,331.11985608357,348.83408706747,369.35373924791,392.4383479509,415.52295665389,441.49314144476,465.11211608996,496.67978412536,523.2511306012],"description":"English organ tuning (1373) with 18:17:16 ficta semitones (Eb-G#)"},"organ1373b":{"frequencies":[261.6255653006,277.01530443593,294.32876096318,311.64221749042,331.11985608357,348.83408706747,369.35373924791,392.4383479509,415.52295665389,441.49314144476,467.46332623563,496.67978412536,523.2511306012],"description":"English organ tuning (1373) with 18:17:16 accidental semitones (Eb-G#)"},"ragib":{"frequencies":[261.6255653006,269.99542342683,281.01564479119,288.12007609225,294.32876096318,303.49446183192,311.45900631024,323.77767743764,335.77702597132,341.99420300732,348.83408706747,360.36579242507,371.06455309218,381.37837507376,392.4383479509,407.46331920162,417.22825371678,432.79663407874,450.28451247858,458.15534711532,465.11211608996,476.50902003141,487.19844562495,503.12608711654,523.2511306012],"description":"Idris Ragib Bey, vol.5 d'Erlanger, p 40. Idris Rag'ib Bey"},"ragib7":{"frequencies":[261.6255653006,270.30192333353,281.29980781121,288.32205155576,294.32876096318,303.74668805875,311.45900631024,324.36230800023,336.37572681506,341.71502406609,348.83408706747,360.4025644447,370.6997805717,381.53728273004,392.4383479509,406.97310157871,417.13259773693,432.48307733364,450.69091522486,457.84473927605,465.11211608996,476.92160341255,486.65469735975,502.32108537715,523.2511306012],"description":"7-limit version of Idris Rag'ib Bey scale"},"rameau-flat":{"frequencies":[261.6255653006,276.01120901503,292.50629850443,312.00666699279,327.03195662575,349.91920725962,366.20974703841,391.22137338448,415.30469757995,437.39882871549,468.01000025525,489.02679755603,523.2511306012],"description":"Rameau bemols, see Pierre-Yves Asselin in \"Musique et temperament\""},"rameau-gall":{"frequencies":[261.6255653006,274.65078342868,292.50627485027,310.49874388777,327.03195662575,349.91912034749,366.20104475463,391.22147055517,412.61639318626,437.39890198442,468.01003810189,489.02683710225,523.2511306012],"description":"Rameau's temperament, after Gallimard (1st solution)"},"rameau-merc":{"frequencies":[261.6255653006,273.37431312998,292.50627485027,308.72950296259,327.03195662575,348.83408706747,365.63284274659,391.22147055517,409.55238583376,437.39890198442,464.53468854848,489.02683710225,523.2511306012],"description":"Rameau's temperament, after Mercadier"},"rameau-minor":{"frequencies":[261.6255653006,294.32876096318,313.95067836072,353.19451315581,392.4383479509,418.60090448096,441.49314144476,470.92601754108,490.54793493862,523.2511306012],"description":"Rameau's systeme diatonique mineur on E. Asc. 4-6-8-9, desc. 9-7-5-4"},"rameau-nouv":{"frequencies":[261.6255653006,275.98004852257,292.50627485027,311.49614460359,327.03195662575,349.91912034749,367.37127028704,391.22147055517,414.64857675456,437.39890198442,468.01003810189,489.02683710225,523.2511306012],"description":"Temperament by Rameau in Nouveau Systeme (1726)"},"rameau-sharp":{"frequencies":[261.6255653006,273.37431312998,292.50629850443,308.54983514133,327.03195662575,348.83408706747,365.63293356166,391.22137338448,409.42528169498,437.39882871549,464.33633889105,489.02679755603,523.2511306012],"description":"Rameau dieses, see Pierre-Yves Asselin in \"Musique et temperament\""},"rameau":{"frequencies":[261.6255653006,275.07757335026,292.50629850443,310.73186404381,327.03195662575,349.91920725962,366.77009798369,391.22137338448,412.61635981914,437.39882871549,468.01000025525,489.02679755603,523.2511306012],"description":"Rameau's modified meantone temperament (1725)"},"ramis":{"frequencies":[261.6255653006,275.93321340298,290.69507255622,310.07474405997,327.03195662575,348.83408706747,367.91095120397,392.4383479509,413.43299207996,436.04260883433,465.11211608996,490.54793493862,523.2511306012],"description":"Monochord of Ramos de Pareja (Ramis de Pareia), Musica practica (1482). Carlos: Switched on Bach"},"rapoport_8":{"frequencies":[261.6255653006,297.86386736488,316.53463456122,336.37572681506,382.96782946913,406.97310157871,432.48307733364,492.38720931745,523.2511306012],"description":"Paul Rapoport, cycle of 14/9 close to 8 out of 11-tET, XH 13, 1991"},"rast_moha":{"frequencies":[261.6255653006,293.66476791741,320.24370022528,349.22823143301,391.99543598175,427.47405410759,479.82340237272,523.2511306012],"description":"Rast + Mohajira (Dudon) 4 + 3 + 3 Rast and 3 + 4 + 3 Mohajira tetrachords"},"rat_dorenh":{"frequencies":[261.6255653006,267.70988077271,274.08392555301,359.73515228832,411.12588832951,418.60090448096,426.35277308246,523.2511306012],"description":"Rationalized Schlesinger's Dorian Harmonia in the enharmonic genus"},"rat_hypodenh":{"frequencies":[261.6255653006,270.06509966514,279.06726965397,348.83408706747,380.54627680087,389.39619021485,398.6675280771,523.2511306012],"description":"1+1 rationalized enharmonic genus derived from K.S.'s 'Bastard' Hypodorian"},"rat_hypodenh2":{"frequencies":[261.6255653006,270.06509966514,288.69027895239,348.83408706747,380.54627680087,389.39619021485,408.39112632289,523.2511306012],"description":"1+2 rationalized enharmonic genus derived from K.S.'s 'Bastard' Hypodorian"},"rat_hypodenh3":{"frequencies":[261.6255653006,270.06509966514,299.00064605783,348.83408706747,380.54627680087,389.39619021485,418.60090448096,523.2511306012],"description":"1+3 rationalized enharmonic genus derived from K.S.'s 'Bastard' Hypodorian"},"rat_hypodhex":{"frequencies":[261.6255653006,267.19206668997,273.00058987889,348.83408706747,380.54627680087,386.4008349055,392.4383479509,523.2511306012],"description":"1+1 rationalized hexachromatic/hexenharmonic genus derived from K.S.'Bastard'"},"rat_hypodhex2":{"frequencies":[261.6255653006,267.19206668997,279.06726965397,348.83408706747,380.54627680087,386.4008349055,398.6675280771,523.2511306012],"description":"1+2 rat. hexachromatic/hexenharmonic genus derived from K.S.'s 'Bastard' Hypodo"},"rat_hypodhex3":{"frequencies":[261.6255653006,267.19206668997,285.40970760065,348.83408706747,380.54627680087,386.4008349055,405.0976494977,523.2511306012],"description":"1+3 rat. hexachromatic/hexenharmonic genus from K.S.'s 'Bastard' Hypodorian"},"rat_hypodhex4":{"frequencies":[261.6255653006,267.19206668997,292.04714266113,348.83408706747,380.54627680087,386.4008349055,411.73859457144,523.2511306012],"description":"1+4 rat. hexachromatic/hexenharmonic genus from K.S.'s 'Bastard' Hypodorian"},"rat_hypodhex5":{"frequencies":[261.6255653006,267.19206668997,299.00064605783,348.83408706747,380.54627680087,386.4008349055,418.60090448096,523.2511306012],"description":"1+5 rat. hexachromatic/hexenharmonic genus from K.S.'s 'Bastard' Hypodorian"},"rat_hypodhex6":{"frequencies":[261.6255653006,273.00058987889,292.04714266113,348.83408706747,380.54627680087,392.4383479509,411.73859457144,523.2511306012],"description":"2+3 rationalized hexachromatic/hexenharmonic 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Sari). 1/1=330 Hz"},"renteng2":{"frequencies":[261.6255653006,294.32876096318,311.77048523333,396.07199334683,425.86840190162,523.2511306012],"description":"Gamelan Renteng from Chikebo (Tg. 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Mersenne/Ban without D#"},"major_clus":{"frequencies":[261.6255653006,275.93321340298,290.69507255622,294.32876096318,327.03195662575,348.83408706747,367.91095120397,392.4383479509,436.04260883433,441.49314144476,465.11211608996,490.54793493862,523.2511306012],"description":"Chalmers' Major Mode Cluster"},"major_wing":{"frequencies":[261.6255653006,272.52663052146,294.32876096318,313.95067836072,327.03195662575,348.83408706747,392.4383479509,408.78994578219,418.60090448096,436.04260883433,470.92601754108,490.54793493862,523.2511306012],"description":"Chalmers' Major Wing with 7 major and 6 minor triads"},"malcolm":{"frequencies":[261.6255653006,279.06726965397,294.32876096318,313.95067836072,327.03195662575,348.83408706747,367.91095120397,392.4383479509,418.60090448096,436.04260883433,465.11211608996,490.54793493862,523.2511306012],"description":"Malcolm's Monochord (1721), and C major in Yamaha synths, Wilkinson: Tuning In"},"malcolm2":{"frequencies":[261.6255653006,277.97716313189,294.32876096318,310.68035879446,327.03195662575,348.83408706747,370.63621750918,392.4383479509,414.24047839262,436.04260883433,463.29527188648,490.54793493862,523.2511306012],"description":"Malcolm 2"},"malcolm_ap":{"frequencies":[261.6255653006,279.47938236087,293.66476791741,313.97746652079,326.1838132033,349.22823143301,369.99442271164,391.99543598175,419.68935090103,436.0054062308,466.16376151809,489.82458627646,523.2511306012],"description":"Best approximations in mix of all ETs from 12-23 to Malcolm's Monochord"},"malcolm_me":{"frequencies":[261.6255653006,294.32876096318,327.03195662575,359.73515228832,392.4383479509,457.84473927605,490.54793493862,523.2511306012],"description":"Malcolm's Mid-East"},"malcolme":{"frequencies":[261.6255653006,279.06726965397,294.32876096318,313.95067836072,327.03195662575,348.83408706747,372.08969287196,392.4383479509,418.60090448096,436.04260883433,465.11211608996,496.11959049595,523.2511306012],"description":"Most equal interval permutation of Malcolm's Monochord"},"malcolme2":{"frequencies":[261.6255653006,275.93321340298,294.32876096318,313.95067836072,327.03195662575,348.83408706747,367.91095120397,392.4383479509,418.60090448096,436.04260883433,465.11211608996,490.54793493862,523.2511306012],"description":"Inverse most equal interval permutation of Malcolm's Monochord"},"malcolms":{"frequencies":[261.6255653006,279.06726965397,294.32876096318,313.95067836072,327.03195662575,348.83408706747,369.99442271164,392.4383479509,418.60090448096,436.04260883433,465.11211608996,490.54793493862,523.2511306012],"description":"Symmetrical version of Malcolm's Monochord and Albion scale"},"malerbi":{"frequencies":[261.6255653006,275.62199471997,292.73769384471,310.07474405997,327.54963108844,348.83408706747,367.49599295996,391.37619916626,413.43299207996,437.91808280662,465.11211608996,489.99465727995,523.2511306012],"description":"Luigi Malerbi's well-temperament nr.1 (1794) (nr.2 = Young)"},"malgache":{"frequencies":[261.6255653006,275.93321340298,294.32876096318,306.59245933664,327.03195662575,353.19451315581,367.91095120397,392.4383479509,413.89982010446,441.49314144476,459.88868900496,490.54793493862,523.2511306012],"description":"tuning from Madagascar"},"malgache1":{"frequencies":[261.6255653006,279.06726965397,294.32876096318,310.07474405997,327.03195662575,353.19451315581,376.74081403286,392.4383479509,418.60090448096,441.49314144476,465.11211608996,490.54793493862,523.2511306012],"description":"tuning from Madagascar"},"malgache2":{"frequencies":[261.6255653006,275.93321340298,294.32876096318,313.95067836072,327.03195662575,353.19451315581,367.91095120397,392.4383479509,408.78994578219,441.49314144476,470.92601754108,490.54793493862,523.2511306012],"description":"tuning from Madagascar"},"malkauns":{"frequencies":[261.6255653006,313.95067836072,348.83408706747,418.60090448096,465.11211608996,523.2511306012],"description":"Raga Malkauns, inverse of prime_5"},"mambuti":{"frequencies":[261.6255653006,294.34406205295,331.72862856444,394.26624244126,466.16376151809,525.06772693396,590.39077962608,792.18471060794,999.82182774046],"description":"African Mambuti Flutes (aerophone; vertical wooden; one note each)"},"mandelbaum5":{"frequencies":[261.6255653006,272.52663052146,282.55561052465,290.69507255622,302.80736724606,313.95067836072,327.03195662575,340.65828815182,348.83408706747,363.36884069528,376.74081403286,392.4383479509,403.74315632809,418.60090448096,436.04260883433,454.2110508691,470.92601754108,484.4917875937,502.32108537715,523.2511306012],"description":"Mandelbaum's 5-limit 19-tone scale, kleismic detempered circle of minor thirds"},"mandelbaum7":{"frequencies":[261.6255653006,272.52663052146,280.31310567921,294.32876096318,305.22982618403,313.95067836072,327.03195662575,336.37572681506,348.83408706747,366.27579142084,376.74081403286,392.4383479509,406.97310157871,418.60090448096,436.04260883433,457.84473927605,470.92601754108,490.54793493862,504.56359022259,523.2511306012],"description":"Mandelbaum's 7-limit 19-tone scale"},"marimba1":{"frequencies":[261.6255653006,284.4818984792,319.50463429683,342.83241505062,371.92288545737,411.72190027758,457.09800545097,500.48847822777,547.68138927822,612.97866327818,651.68292300609,728.11694797601,807.8963375694,903.69557412727,1013.19282257599,1069.7265813247,1225.95732655636,1303.36584601218],"description":"Marimba of the Bakwese, SW Belgian Congo (Zaire). 1/1=140.5 Hz"},"marimba2":{"frequencies":[261.6255653006,279.11058864149,318.03161540472,343.03050002254,379.95718438213,421.58889248327,458.6849347701,519.33670373121,571.2689787911,613.68721319418,694.83488613378,761.23234162637,846.59395682498,953.56868388592,1049.52904699774,1145.8425062572,1271.3918647407,1389.66977226756],"description":"Marimba of the Bakubu, S. Belgian Congo (Zaire). 1/1=141.5 Hz"},"marimba3":{"frequencies":[261.6255653006,296.73398952435,348.2210758395,420.13030572059,476.50902003141,518.73708886244,603.49292471609,696.44215167899,840.26061144117,953.01804006282,1037.47417772488],"description":"Marimba from the Yakoma tribe, Zaire. 1/1=185.5 Hz"},"marion":{"frequencies":[261.6255653006,269.91407136119,278.46532473603,287.28749371714,296.38899008685,305.77900572762,315.46632790985,325.46074015958,335.7715953476,346.4093067252,357.3838291689,368.70624618807,380.38737313392,392.4383479509,411.71310103548,431.93429139282,453.14890242083,475.40520223986,498.75490298644,523.2511306012],"description":"scale with two different ET step sizes"},"marion1":{"frequencies":[261.6255653006,262.79353657426,272.52663052146,280.31310567921,286.15296204753,294.32876096318,305.22982618403,311.45900631024,327.03195662575,336.37572681506,343.38355445704,350.39138209902,367.91095120397,373.75080757229,381.53728273004,392.4383479509,408.78994578219,420.46965851882,436.04260883433,457.84473927605,467.18850946536,476.92160341255,490.54793493862,515.07533168556,523.2511306012],"description":"Marion's 7-limit Scale # 1"},"marion10":{"frequencies":[261.6255653006,267.07609791103,272.52663052146,286.15296204753,290.69507255622,296.75121990114,305.22982618403,317.94773560837,327.03195662575,339.14425131559,356.10146388137,363.36884069528,370.93902487643,381.53728273004,400.61414686654,406.97310157871,408.78994578219,423.93031414449,436.04260883433,445.12682985172,457.84473927605,474.80195184183,476.92160341255,484.4917875937,508.71637697339,523.2511306012],"description":"Marion's 7-limit Scale # 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19"},"marion26":{"frequencies":[261.6255653006,271.31540105247,279.06726965397,284.8811711051,293.02063313667,303.87324917877,305.22982618403,310.07474405997,325.57848126297,334.88072358477,341.85740532612,348.83408706747,366.27579142084,379.84156147346,390.69417751556,406.97310157871,418.60090448096,427.32175665765,434.10464168396,455.80987376816,465.11211608996,474.80195184183,488.36772189445,512.78610798918,523.2511306012],"description":"Marion's 7-limit Scale # 26"},"marissing":{"frequencies":[261.6255653006,290.69507255622,294.32876096318,313.95067836072,327.03195662575,348.83408706747,367.91095120397,392.4383479509,436.04260883433,441.49314144476,465.11211608996,490.54793493862,523.2511306012],"description":"Peter van Marissing, just scale, Mens en Melodie, 1979"},"marpurg-1":{"frequencies":[261.6255653006,276.86979852503,294.32876096318,311.47852302926,329.62755691287,348.83408706747,370.83100115625,392.4383479509,415.30469757995,439.50340943686,467.21778431035,494.44133512215,523.2511306012],"description":"Other temperament by Marpurg, 3 fifths 1/3 Pyth. comma flat"},"marpurg-t1":{"frequencies":[261.6255653006,275.62199471997,294.32876096318,310.07474405997,327.03195662575,348.83408706747,367.91095120397,392.4383479509,413.43299207996,436.04260883433,465.11211608996,490.54793493862,523.2511306012],"description":"Marpurg's temperament nr.1, Kirnbergersche Temperatur (1766)"},"marpurg-t11":{"frequencies":[261.6255653006,278.12325072816,294.32876096318,311.47852302926,331.11985608357,348.83408706747,371.66947115233,392.4383479509,416.24372513446,441.49314144476,466.16376151809,496.67978412536,523.2511306012],"description":"Marpurg's temperament nr.11, 6 tempered fifths"},"marpurg-t12":{"frequencies":[261.6255653006,279.06706247425,294.66131982972,310.42509491746,330.74614861362,349.22823143301,372.08941681833,392.88175996935,418.60059350213,441.99197952365,465.63764214343,496.11922267243,523.2511306012],"description":"Marpurg's temperament nr.12, 4 tempered fifths"},"marpurg-t2":{"frequencies":[261.6255653006,278.75210322491,294.32876096318,313.59611581451,331.11985608357,348.83408706747,371.66947115233,392.4383479509,418.12815462835,441.49314144476,470.39417348663,495.55929511749,523.2511306012],"description":"Marpurg's temperament nr.2, 2 tempered fifths, Neue Methode (1790)"},"marpurg-t3":{"frequencies":[261.6255653006,276.55731914056,294.32876096318,311.12698372208,331.11985608357,348.83408706747,368.74309237173,392.4383479509,414.83597850347,441.49314144476,465.11211608996,491.65745674141,523.2511306012],"description":"Marpurg's temperament nr.3, 2 tempered fifths"},"marpurg-t4":{"frequencies":[261.6255653006,276.86979852503,294.32876096318,310.07474405997,331.11985608357,348.83408706747,369.15973155124,392.4383479509,415.30469757995,441.49314144476,465.11211608996,492.21297564769,523.2511306012],"description":"Marpurg's temperament nr.4, 2 tempered fifths"},"marpurg-t5":{"frequencies":[261.6255653006,277.80935667884,294.32876096318,312.53552595124,331.11985608357,348.83408706747,370.41247575694,392.4383479509,416.71403480995,441.49314144476,468.80328869252,493.88330125613,523.2511306012],"description":"Marpurg's temperament nr.5, 2 tempered fifths"},"marpurg-t7":{"frequencies":[261.6255653006,276.86979852503,293.00227310437,310.07474405997,329.62755691287,348.83408706747,369.15973155124,390.66969766777,415.30469757995,439.50340943686,465.11211608996,492.21297564769,523.2511306012],"description":"Marpurg's temperament nr.7, 3 tempered fifths"},"marpurg-t8":{"frequencies":[261.6255653006,277.49581689502,293.33333347996,311.12698372208,329.99999983505,348.83408706747,369.99442271164,391.11111150212,414.83597850347,440,466.69047534984,493.32589719545,523.2511306012],"description":"Marpurg's temperament nr.8, 4 tempered fifths"},"marpurg-t9":{"frequencies":[261.6255653006,277.49581689502,294.32876096318,312.18279369479,331.11985608357,350.01785633742,371.24999944327,392.4383479509,416.24372513446,441.49314144476,468.27419030811,496.67978412536,523.2511306012],"description":"Marpurg's temperament nr.9, 4 tempered fifths"},"marpurg":{"frequencies":[261.6255653006,277.49581689502,293.83071040301,311.12698372208,329.99999983505,349.42557141756,369.99442271164,392.4383479509,415.53937569366,440,466.69047534984,494.16238213869,523.2511306012],"description":"Marpurg, Versuch ueber die musikalische Temperatur (1776), p. 153"},"marpurg1":{"frequencies":[261.6255653006,272.52663052146,294.32876096318,313.95067836072,327.03195662575,348.83408706747,367.91095120397,392.4383479509,408.78994578219,436.04260883433,470.92601754108,490.54793493862,523.2511306012],"description":"Marpurg's Monochord no.1 (1776)"},"marpurg3":{"frequencies":[261.6255653006,272.52663052146,294.32876096318,313.95067836072,327.03195662575,348.83408706747,367.91095120397,392.4383479509,408.78994578219,441.49314144476,465.11211608996,490.54793493862,523.2511306012],"description":"Marpurg 3"},"marpurg4":{"frequencies":[261.6255653006,272.52663052146,290.69507255622,313.95067836072,327.03195662575,348.83408706747,363.36884069528,392.4383479509,408.78994578219,436.04260883433,470.92601754108,490.54793493862,523.2511306012],"description":"Marpurg 4, also Yamaha Pure Minor"},"marsh":{"frequencies":[261.6255653006,275.50659558095,293.15632631094,311.93674864629,328.48713220126,349.53094576004,368.07595926604,391.65594491223,412.43597848639,438.85779226656,466.97226207056,491.74834273545,523.2511306012],"description":"John Marsh's meantone temperament (1809)"},"marsh2":{"frequencies":[261.6255653006,277.22760066578,293.66431501254,311.21660561883,329.70790803338,349.18845812715,369.99117208793,391.90679138833,415.30984563838,439.96491544382,466.29335337935,494.03030700757,523.2511306012],"description":"John Marsh's quasi-equal temperament (1840)"},"mavila12":{"frequencies":[261.6255653006,256.98292999787,287.53945699376,321.72930260925,316.02010771872,353.59644178868,347.32175377489,388.62000642034,381.72381344999,427.11263899087,477.89842030218,469.41794908116,525.2340355968],"description":"A 12-note mavila scale (for warping meantone-based music)"},"mavila9":{"frequencies":[261.6255653006,287.53945699376,316.02010771872,321.72930260925,353.59644178868,388.62000642034,427.11263899087,434.82882549415,477.89842030218,525.2340355968],"description":"9-note scale of mavila temperament (TOP tuning)"},"mavlim1":{"frequencies":[261.6255653006,294.32876096318,313.95067836072,327.03195662575,348.83408706747,392.4383479509,418.60090448096,436.04260883433,465.11211608996,523.2511306012],"description":"First 27/25&135/128 scale"},"mbira_banda":{"frequencies":[261.6255653006,291.13134764929,327.53979283172,368.50142299854,404.88256627495,443.57258128492,480.10063929961,555.00605988575],"description":"Mubayiwa Bandambira's tuning of keys R2-R9 from Berliner: The soul of mbira."},"mbira_banda2":{"frequencies":[261.6255653006,321.16993719469,360.29289210659,380.8360868427,422.32008370967,461.34206956593,587.32953583482,513.96502576833,761.67217368541,711.48673390068,849.04255025658,936.10488897708,1046.50286568598,633.49659152295,1055.60951665979,1174.65975017952,1321.5609185619,1486.83332446121,1633.62433483289,1789.73120457747,1937.11498804338,2239.34414798534],"description":"Mubayiwa Bandambira's Mbira DzaVadzimu tuning B1=114 Hz"},"mbira_gondo":{"frequencies":[261.6255653006,315.28798447451,345.21700307457,379.51849407657,422.56409582244,461.07566488503,564.05539604512,516.94239487354,778.57545143809,697.24717811406,842.69088701475,926.42243447898,1029.11884353824,628.3943418294,1040.47545270591,1153.813137635,1308.64724593201,1415.59600512246,1572.51770682594,1715.83353717518,1883.05646656025,2103.91477035149],"description":"John Gondo's Mbira DzaVadzimu tuning B1=122 Hz"},"mbira_kunaka":{"frequencies":[261.6255653006,292.98704147282,325.27731021818,350.44066402496,386.59871897734,434.19311733646,479.82340237272,507.76825077597],"description":"John Kunaka's mbira tuning of keys R2-R9"},"mbira_kunaka2":{"frequencies":[261.6255653006,340.26769547546,358.83903996308,405.11650317313,448.98591596033,490.75518955849,622.61349925697,541.70354187177,817.28364083393,724.3415782324,907.35693646861,997.5144154576,1094.73088724383,673.88551872153,1085.91380691742,1216.08403680913,1350.10935126711,1454.55340013417,1604.63250673428,1802.17976955899,1991.5747030301,2107.56373750553],"description":"John Kunaka's Mbira DzaVadzimu tuning B1=113 Hz"},"mbira_mude":{"frequencies":[261.6255653006,289.28740724512,309.15639683494,364.68988616898,372.56793743951,408.17001145418,507.1819925915,459.74594725879,689.63684605432,610.50517472746,760.79276355093,824.39562982862,887.65774573556,562.75365576207,888.68380073365,1015.53708814899,1126.80895076279,1206.28956516212,1365.00817887311,1507.58874420517,1666.02447560859,1935.99638964471],"description":"Hakurotwi Mude's Mbira DzaVadzimu tuning B1=132 Hz"},"mbira_mujuru":{"frequencies":[261.6255653006,281.37682788104,301.05008478933,329.43721154897,394.9500460767,419.64523240241,533.01280425363,488.77489658044,700.88132804992,602.10016957865,765.19999119503,809.29752893,942.6160133907,577.57308891646,937.72844143307,1046.50286568598,1145.18149427149,1243.7900049313,1411.51350174391,1540.15576038017,1658.34356815416,1904.9365287586],"description":"Ephat Mujuru's Mbira DzaVadzimu tuning, B1=106 Hz"},"mbira_zimb":{"frequencies":[261.6255653006,276.86260193655,305.95868600104,343.62544191138,379.08031027329,408.40584780369,453.41648894489,507.76825077597],"description":"Shona mbira scale"},"mboko_bow":{"frequencies":[261.6255653006,347.61817721989,375.37611551499],"description":"African Mboko Mouth Bow (chordophone, single string, plucked)"},"mboko_zither":{"frequencies":[261.6255653006,294.68429813772,319.3201344739,354.92237405774,396.55020354877,418.67676528474,472.67116512585,513.07516347663],"description":"African Mboko Zither (chordophone; idiochordic palm fibre, plucked)"},"mcclain":{"frequencies":[261.6255653006,275.93321340298,294.32876096318,306.59245933664,327.03195662575,331.11985608357,367.91095120397,392.4383479509,408.78994578219,441.49314144476,490.54793493862,510.98743222773,523.2511306012],"description":"McClain's 12-tone scale, see page 119 of The Myth of Invariance"},"mcclain_18":{"frequencies":[261.6255653006,275.93321340298,294.32876096318,306.59245933664,319.36714514233,327.03195662575,331.11985608357,344.91651675372,367.91095120397,383.2405741708,392.4383479509,408.78994578219,413.89982010446,441.49314144476,459.88868900496,490.54793493862,496.67978412536,510.98743222773,523.2511306012],"description":"McClain's 18-tone scale, see page 143 of The Myth of Invariance"},"mcclain_8":{"frequencies":[261.6255653006,294.32876096318,327.03195662575,367.91095120397,392.4383479509,408.78994578219,441.49314144476,490.54793493862,523.2511306012],"description":"McClain's 8-tone scale, see page 51 of The Myth of Invariance"},"mccoskey_22":{"frequencies":[261.6255653006,270.06509966514,279.06726965397,287.78812183066,299.00064605783,305.22982618403,313.95067836072,327.03195662575,336.37572681506,348.83408706747,359.73515228832,366.27579142084,382.37582620857,392.4383479509,406.97310157871,418.60090448096,436.04260883433,448.50096908674,457.84473927605,470.92601754108,490.54793493862,506.89953276991,523.2511306012],"description":"31-limit rational interpretation of 22-tET, Marion McCoskey"},"mclaren_bar":{"frequencies":[261.6255653006,281.77400528964,292.14326370913,304.76756192248,325.50548568708,328.66136118639,353.45752508165,360.67039921732,379.1552038283,397.63971531932,405.75513620619,436.411067852,476.98680497297,521.16951219839],"description":"Metal bar scale. see McLaren, Xenharmonicon 15, pp.31-33"},"mclaren_cps":{"frequencies":[261.6255653006,275.93321340298,286.15296204753,294.32876096318,306.59245933664,327.03195662575,343.38355445704,367.91095120397,392.4383479509,408.78994578219,429.2294430713,441.49314144476,457.84473927605,490.54793493862,515.07533168556,523.2511306012],"description":"2)12 [1,2,3,4,5,6,8,9,10,12,14,15] a degenerate CPS"},"mclaren_harm":{"frequencies":[261.6255653006,279.06726965397,299.00064605783,304.4370214407,307.2300216374,348.83408706747,380.54627680087,389.39619021485,393.97732186443,398.6675280771,465.11211608996,523.2511306012],"description":"from \"Wilson part 9\", claimed to be Schlesingers Dorian Enharmonic, prov. unkn"},"mclaren_rath1":{"frequencies":[261.6255653006,279.06726965397,299.00064605783,334.88072358477,341.71502406609,348.83408706747,372.08969287196,380.54627680087,389.39619021485,398.6675280771,492.47165233054,507.3950357345,523.2511306012],"description":"McLaren Rat H1"},"mclaren_rath2":{"frequencies":[261.6255653006,279.06726965397,299.00064605783,334.88072358477,341.71502406609,348.83408706747,380.54627680087,389.39619021485,398.6675280771,440.63253103259,452.54151835779,465.11211608996,523.2511306012],"description":"McLaren Rat H2"},"mean10":{"frequencies":[261.6255653006,272.18829429226,292.14313377277,313.56091500001,326.220453695,350.13653284039,364.27275363262,390.97854693193,406.76370320307,436.58461973079,468.59178605305,487.51045723915,523.2511306012],"description":"3/10-comma meantone scale"},"mean11":{"frequencies":[261.6255653006,272.83457350033,292.34115464648,313.24237654315,326.6628419965,350.01792709981,365.01399145768,391.11103243201,407.86767761879,437.02858581415,468.2743796482,488.33699124025,523.2511306012],"description":"3/11-comma meantone scale. A.J. Ellis no. 10"},"mean11ls_19":{"frequencies":[261.6255653006,272.93479580544,280.25721516838,292.37183188538,305.01012622427,313.1930753928,326.73140514978,340.85495140859,349.99956372811,365.12891753666,374.92476290643,391.13155279262,408.03891236124,418.98596425085,437.09738047696,455.99169236578,468.2252457596,488.46511500326,509.57988860269,523.2511306012],"description":"Least squares appr. to 3/2, 5/4, 7/6, 15/14 and 11/8, Petr Par�zek"},"mean13":{"frequencies":[261.6255653006,273.83184954717,292.64606374809,312.75295135888,327.34460995374,349.8355370417,366.15730590163,391.31494185909,409.57195510156,437.7124891801,467.78648270341,489.61131479929,523.2511306012],"description":"3/13-comma meantone scale"},"mean14":{"frequencies":[261.6255653006,274.22463192287,292.76593693997,312.56088569186,327.61283758281,349.76390952171,366.60744235102,391.39507854003,410.24343789088,437.98145930734,467.59494724206,490.11285326462,523.2511306012],"description":"3/14-comma meantone scale (Giordano Riccati, 1762)"},"mean14_15":{"frequencies":[261.6255653006,274.22463192287,279.31500250577,292.76593693997,306.86462618694,312.56088569186,327.61283758281,349.76390952171,366.60744235102,391.39507854003,410.24343789088,417.8586951835,437.98145930734,467.59494724206,490.11285326462,523.2511306012],"description":"15 of 3/14-comma meantone scale"},"mean14_19":{"frequencies":[261.6255653006,274.22463192287,279.31500250577,292.76593693997,306.86462618694,312.56088569186,327.61283758281,343.38964426558,349.76390952171,366.60744235102,373.41269440635,391.39507854003,410.24343789088,417.8586951835,437.98145930734,459.07327263526,467.59494724206,490.11285326462,513.71515101261,523.2511306012],"description":"19 of 3/14-comma meantone scale"},"mean14_7":{"frequencies":[261.6255653006,292.76593693997,327.61283758281,349.76390952171,391.39507854003,437.98145930734,490.11285326462,523.2511306012],"description":"Least squares appr. of 5L+2S to Ptolemy's Intense Diatonic scale"},"mean14a":{"frequencies":[261.6255653006,274.24690838881,292.77273178776,312.55000460003,327.62804498858,349.75985073129,366.63296888199,391.39962048672,410.28152481852,437.9967071602,467.58409501387,490.1412915133,523.2511306012],"description":"fifth of sqrt(5/2)-1 octave \"recursive\" meantone, Paul Hahn"},"mean16":{"frequencies":[261.6255653006,274.864106667,292.9608347655,312.24903186879,328.04917632434,349.64754658398,367.34009701877,391.52533508436,411.33694767869,438.41888642025,467.28387071703,490.92894854125,523.2511306012],"description":"3/16-comma meantone scale"},"mean17":{"frequencies":[261.6255653006,273.72412433093,292.61316553779,312.80569569783,327.2710181906,349.85520131118,366.03383354947,391.29294726693,409.38781813791,437.63868343995,467.83907547741,489.47372981579,523.2511306012],"description":"4/17-comma meantone scale, least squares error of 5/4 and 3/2"},"mean17_17":{"frequencies":[261.6255653006,273.72412433093,279.67971414776,292.61316553779,306.14471057197,312.80569569783,327.2710181906,349.85520131118,366.03383354947,373.99786656393,391.29294726693,409.38781813791,418.29512920081,437.63868343995,457.8767570375,467.83907547741,489.47372981579,523.2511306012],"description":"4/17-comma meantone scale with split C#/Db, D#/Eb, F#/Gb, G#/Ab and A#/Bb"},"mean17_19":{"frequencies":[261.6255653006,273.72412433093,279.67971414776,292.61316553779,306.14471057197,312.80569569783,327.2710181906,342.40527209253,349.85520131118,366.03383354947,373.99786656393,391.29294726693,409.38781813791,418.29512920081,437.63868343995,457.8767570375,467.83907547741,489.47372981579,512.10885267608,523.2511306012],"description":"4/17-comma meantone scale, least squares error of 5/4 and 3/2"},"mean18":{"frequencies":[261.6255653006,272.71477685134,292.30447317753,313.30134186202,326.58087306932,350.03988839382,364.87661266094,391.0864943589,407.66301227525,436.94633423564,468.33314368944,488.18382342185,523.2511306012],"description":"5/18-comma meantone scale (Smith). 3/2 and 5/3 eq. beat. A.J. Ellis no. 9"},"mean19":{"frequencies":[261.6255653006,273.06170311607,292.41066686775,313.13068664042,326.81820677503,349.97632128221,365.27443420834,391.15752841841,408.25574814862,437.18446858874,468.16306089008,488.62733218513,523.2511306012],"description":"5/19-comma meantone scale, fifths beats three times third. A.J. Ellis no. 11"},"mean19r":{"frequencies":[261.6255653006,273.04332227389,292.40504357126,313.13971948727,326.80563693258,349.97968716666,365.25335892465,391.15376651139,408.22434232755,437.17185753972,468.17206422213,488.60384173026,523.2511306012],"description":"Approximate 5/19-comma meantone with 19/17 tone, Petr Parizek, 2002"},"mean23":{"frequencies":[261.6255653006,274.15058593695,292.74334833321,312.59706303545,327.56228503462,349.77740346966,366.52259116395,391.37997903742,410.11684180717,437.93077103284,467.63102771476,490.01832104213,523.2511306012],"description":"5/23-comma meantone scale, A.J. Ellis no. 4"},"mean23six":{"frequencies":[261.6255653006,273.11604376732,292.42729246507,313.10398392891,326.85537164611,349.96637341293,365.33674088125,391.16864715511,408.34860251967,437.22175336101,468.13644404983,488.69678846289,523.2511306012],"description":"6/23-comma meantone scale"},"mean25":{"frequencies":[261.6255653006,272.66208311698,292.28833573479,313.32728859832,326.54481265413,350.04955123355,364.81618195011,391.07569872695,407.57299290994,436.91015056532,468.35900068872,488.11644468937,523.2511306012],"description":"7/25-comma meantone scale, least square weights 3/2:0 5/4:1 6/5:1"},"mean26":{"frequencies":[261.6255653006,272.91754119498,292.36655103694,313.20156187458,326.7196004604,350.00272362315,365.10913291207,391.12802157824,408.00943064927,437.08553692506,468.23370304224,488.44305713046,523.2511306012],"description":"7/26-comma meantone scale (Woolhouse 1835). Almost equal to meaneb742"},"mean26_21":{"frequencies":[261.6255653006,272.91754592428,280.26986822267,292.36655272572,304.98534036063,313.20156006546,326.71960423481,335.52133892506,340.8210986211,350.00272362315,365.10913712997,374.9450750913,391.12802157824,408.00943771953,419.00109777107,437.08553944976,455.95052092314,468.23370033762,488.44306277317,501.60158217053,509.52467838008,523.2511306012],"description":"21 of 7/26-comma meantone scale (Woolhouse 1835)"},"mean27":{"frequencies":[261.6255653006,273.15429014256,292.43899158768,313.08519355925,326.88152513903,349.9593710588,365.38059276675,391.17647406766,408.41395592075,437.24799400905,468.11771609009,488.74567091648,523.2511306012],"description":"7/27-comma meantone scale, least square weights 3/2:2 5/4:1 6/5:1"},"mean29":{"frequencies":[261.6255653006,273.57932033947,292.56893127899,312.87664195194,327.1720749345,349.88164908166,365.86785468743,391.26336919078,409.14031659695,437.53944680455,467.90980928584,489.28875967044,523.2511306012],"description":"7/29-comma meantone scale, least square weights 3/2:4 5/4:1 6/5:1"},"mean2sev":{"frequencies":[261.6255653006,272.52663052146,292.24684137387,313.39402123097,326.45210604021,350.07440004945,364.66083404534,391.04793957621,407.34160211012,436.81711699543,468.42550014967,487.94322738789,523.2511306012],"description":"2/7-comma meantone scale. Zarlino's temperament (1558). See also meaneb371"},"mean2sev_15":{"frequencies":[261.6255653006,272.52663052146,280.55692507618,292.24689370448,304.42377254813,313.39402847191,326.45203249943,350.07447082328,364.66081719444,391.04786051887,407.34165622677,419.34452602299,436.81710690282,468.42541627199,487.94330348661,523.2511306012],"description":"15 of 2/7-comma meantone scale"},"mean2sev_19":{"frequencies":[261.6255653006,272.52663052146,280.55692507618,292.24689370448,304.42377254813,313.39402847191,326.45203249943,340.0543130973,350.07447082328,364.66081719444,375.40603866065,391.04786051887,407.34165622677,419.34452602299,436.81710690282,455.01770749831,468.42541627199,487.94330348661,508.27414914183,523.2511306012],"description":"19 of 2/7-comma meantone scale"},"mean2sev_31":{"frequencies":[261.6255653006,264.72620698393,272.52663052146,280.55692507618,283.88190679319,292.24689370448,300.8583415146,304.42377254813,313.39402847191,317.10820138491,326.45203249943,336.07138073182,340.0543130973,350.07447082328,354.22315547012,364.66081719444,375.40603866065,379.85514366424,391.04786051887,395.6823437549,407.34165622677,419.34452602299,424.31412061457,436.81710690282,449.68851049921,455.01770749831,468.42541627199,473.97693555703,487.94330348661,502.32108537715,508.27414914183,523.2511306012],"description":"31 of 2/7-comma meantone scale"},"mean2seveb":{"frequencies":[261.6255653006,274.26749945295,292.59076110537,312.44357330613,327.42660602987,349.76102048238,366.6169314736,391.04794861134,410.01084835752,437.49574139527,467.27496094916,489.74950989452,523.2511306012],"description":"\"2/7-comma\" meantone with equal beating fifths. A.J. Ellis no. 8"},"mean2sevr":{"frequencies":[261.6255653006,272.52663052146,292.24289114742,313.39346366789,326.45152465405,350.07234194042,364.65868952128,391.04531121882,407.33886585294,436.81651812993,468.41855142334,487.93599106598,523.2511306012],"description":"Rational approximation to 2/7-comma meantone, 1/1 = 262.9333"},"mean9":{"frequencies":[261.6255653006,274.03547926168,292.70827332867,306.59245933664,327.48360691354,349.79835961887,366.39065074918,391.35653176554,409.92008797511,437.85206746661,467.68706357679,489.87127257422,523.2511306012],"description":"2/9-comma meantone scale, Lemme Rossi, Sistema musico (1666)"},"mean94":{"frequencies":[261.6255653006,268.79084150406,291.09659021292,315.25339315665,323.88740273232,350.76536842075,360.37196303797,390.27761906502,400.96635635801,434.24075936811,470.27645613296,483.15616342113,523.2511306012],"description":"4/9-comma meantone scale"},"mean9_15":{"frequencies":[261.6255653006,274.03547926168,279.45274708261,292.70827332867,306.59245933664,312.65343270838,327.48360691354,349.79835961887,366.39065074918,391.35653176554,409.92008797511,418.0235894185,437.85206746661,467.68706357679,489.87127257422,523.2511306012],"description":"15 of 2/9-comma meantone scale"},"mean9_19":{"frequencies":[261.6255653006,274.03547926168,279.45274708261,292.70827332867,306.59245933664,312.65343270838,327.48360691354,343.0174228875,349.79835961887,366.39065074918,373.63364091796,391.35653176554,409.92008797511,418.0235894185,437.85206746661,458.62082212371,467.68706357679,489.87127257422,513.10776453427,523.2511306012],"description":"19 of 2/9-comma meantone scale"},"mean9_31":{"frequencies":[261.6255653006,268.72322665693,274.03547926168,279.45274708261,287.03404351137,292.70827332867,298.49467410529,306.59245933664,312.65343270838,321.13524775754,327.48360691354,333.95746354843,343.0174228875,349.79835961887,359.28803828513,366.39065074918,373.63364091796,383.76997851754,391.35653176554,401.97367512027,409.92008797511,418.0235894185,429.36393755067,437.85181455341,446.50763144636,458.62082212371,467.68706357679,480.3749841712,489.87127257422,499.55528826613,513.10776453427,523.2511306012],"description":"31 of 2/9-comma meantone scale"},"meaneb1071":{"frequencies":[261.6255653006,273.45959631537,292.5323192343,305.76452283047,327.09038632535,349.9034421565,365.73073124967,391.23900009103,408.93579686983,437.45744778434,457.24482979639,489.13584427285,523.2511306012],"description":"Equal beating 7/4 = 3/2 same."},"meaneb1071a":{"frequencies":[261.6255653006,273.94115519525,292.67936294368,306.45675889694,327.41929816594,349.81553441422,366.28252094772,391.33731744348,409.75863641311,437.78732645584,458.39517452459,489.75074612717,523.2511306012],"description":"Equal beating 7/4 = 3/2 opposite."},"meaneb341":{"frequencies":[261.6255653006,272.43747957464,292.21954801903,313.43802026715,326.39113133433,350.09085029289,364.55867287416,391.02956482064,407.18921698842,436.75579855003,468.46925117002,487.82916876009,523.2511306012],"description":"Equal beating 6/5 = 5/4 same. Almost 4/15 Pyth. comma"},"meaneb371":{"frequencies":[261.6255653006,272.52577151658,292.24657972098,313.39444482621,326.45151771442,350.07455777399,364.65985037488,391.0477633913,407.34013625771,436.81652657765,468.42591953828,487.94213100406,523.2511306012],"description":"Equal beating 6/5 = 3/2 same. Practically 2/7-comma (Zarlino)"},"meaneb371a":{"frequencies":[261.6255653006,269.83862220337,291.42039690163,314.72828847419,324.6081803116,350.57044084899,361.57569171511,390.49462500658,421.72650333798,434.96526321606,469.75391665508,484.50062400899,523.2511306012],"description":"Equal beating 6/5 = 3/2 opposite. Almost 2/5-comma"},"meaneb381":{"frequencies":[261.6255653006,275.92799893014,293.28437056932,311.73248946737,328.77414682856,349.45463702831,368.55847249214,391.74146894101,416.38271791821,439.14534885862,466.76838786866,492.28548089506,523.2511306012],"description":"Equal beating 6/5 = 8/5 same. Almost 1/7-comma"},"meaneb451":{"frequencies":[261.6255653006,274.36682021224,292.8092284668,312.49148032108,327.70992276921,349.73795145032,366.77030983847,391.42412846541,410.48661799548,438.07873640926,467.5258138363,490.29448158868,523.2511306012],"description":"Equal beating 5/4 = 4/3 same, 5/24 comma meantone. A.J. Ellis no. 6"},"meaneb471":{"frequencies":[261.6255653006,272.3284467197,292.18612898941,313.49179640307,326.31648163178,350.11087068539,364.43361138613,391.00720457415,407.00321492741,436.68087780422,468.52283272721,487.68970701588,523.2511306012],"description":"Equal beating 5/4 = 3/2 same. Almost 5/17-comma"},"meaneb471a":{"frequencies":[261.6255653006,274.14912748586,292.7429036132,312.59777626068,327.56128980523,349.7776701617,366.52092076205,391.37968062521,410.11434970273,437.92977184699,467.63173811584,490.01645860508,523.2511306012],"description":"Equal beating 5/4 = 3/2 opposite. Almost 1/5 Pyth. Gottfried Keller (1707)"},"meaneb471b":{"frequencies":[261.6255653006,272.31089540773,292.18072491748,313.50040506268,326.30440921209,350.11400731728,364.41338872146,391.00370158472,406.97310157871,436.668886633,468.53149836075,487.66729542944,523.2511306012],"description":"21/109-comma meantone with 9/7 major thirds, almost equal beating 5/4 and 3/2"},"meaneb472":{"frequencies":[261.6255653006,270.83769079127,291.72826852127,314.23020335825,325.29440843388,350.38540704884,362.72286472858,390.7008399429,404.45761497645,435.65472502222,469.25816799182,485.78126704788,523.2511306012],"description":"Beating of 5/4 = twice 3/2 same. Almost 5/14-comma"},"meaneb472_19":{"frequencies":[261.6255653006,270.8378472333,281.80541953687,291.72826852127,302.00051792575,314.23002185182,325.29459633135,336.74877333101,350.38540704884,362.72307424558,377.41153667283,390.7008399429,404.45808222448,420.83660282593,435.65497666633,450.99513069838,469.25816799182,485.78154764623,502.88674365212,523.2511306012],"description":"Beating of 5/4 = twice 3/2 same, 19 tones"},"meaneb472a":{"frequencies":[261.6255653006,274.74648495017,292.92493846141,312.30633997417,327.96897748493,349.66886860972,367.20529370531,391.50146074488,411.13561642091,438.33843670622,467.34113372786,490.7787182415,523.2511306012],"description":"Beating of 5/4 = twice 3/2 opposite. Almost 3/17-comma"},"meaneb591":{"frequencies":[261.6255653006,273.06215106005,292.41085266114,313.13038820279,326.81843330822,349.97621009739,365.27491737756,391.15765268623,418.87439289145,437.18488525956,468.16276342643,488.62782610925,523.2511306012],"description":"Equal beating 4/3 = 5/3 same."},"meaneb732":{"frequencies":[261.6255653006,272.00548436883,292.08705896894,313.65121264041,326.09523618955,350.1701397801,364.06303937825,390.94102347986,406.4514961644,436.45893055948,468.68174619223,487.27655969467,523.2511306012],"description":"Beating of 3/2 = twice 6/5 same. Almost 4/13-comma"},"meaneb732_19":{"frequencies":[261.6255653006,272.00553778846,280.94077405591,292.08707584055,303.67560621907,313.65118727632,326.09527197795,339.03307470248,350.17012966679,364.06310036266,376.02237826726,390.94103477068,406.45158772689,419.80330474394,436.45896585468,453.77543893118,468.68171912011,487.27662724555,506.60928680033,523.2511306012],"description":"Beating of 3/2 = twice 6/5 same, 19 tones"},"meaneb732a":{"frequencies":[261.6255653006,270.68848625127,291.6822692306,314.3042667302,325.1920204578,350.41293324447,362.5515203525,390.67014898736,404.20304509584,435.55206635241,469.33217160858,485.59021720901,523.2511306012],"description":"Beating of 3/2 = twice 6/5 opposite. Almost 1/3 Pyth. comma"},"meaneb742":{"frequencies":[261.6255653006,272.89343543801,292.35917287023,313.21341909223,326.70311046689,350.00714105462,365.08148980199,391.12308516115,407.96824372307,437.06899032128,468.24551969328,488.41224041213,523.2511306012],"description":"Beating of 3/2 = twice 5/4 same."},"meaneb742a":{"frequencies":[261.6255653006,273.78850133971,292.63287562287,312.77409391616,327.31510698093,349.84341999552,366.10759179471,391.30612443552,409.49789158088,437.68290117536,467.80756449982,489.55615570194,523.2511306012],"description":"Beating of 3/2 = twice 5/4 opposite. Almost 3/13-comma, 3/14 Pyth. comma"},"meaneb781":{"frequencies":[261.6255653006,273.88372205101,292.66195046404,312.72748571568,327.38015167213,349.82604176358,366.21672762941,391.32556326448,418.15568884829,437.74813244966,467.76108961433,489.67748280644,523.2511306012],"description":"Equal beating 3/2 = 8/5 same."},"meaneb891":{"frequencies":[261.6255653006,272.7426257605,292.31307409948,313.28760473417,326.59990179186,350.03483972175,364.90860969063,391.092135133,419.1546662649,436.96549358815,468.31936361194,488.21959184068,523.2511306012],"description":"Equal beating 8/5 = 5/3 same. Almost 5/18-comma"},"meaneight":{"frequencies":[261.6255653006,276.08926119362,293.33333347996,311.65444160511,328.88393162803,349.42547049952,368.74309237173,391.77416758435,413.43299207996,439.25532436715,466.69047534984,492.49097043477,523.2511306012],"description":"1/8 Pyth. comma meantone scale"},"meanfifth":{"frequencies":[261.6255653006,274.56546814423,292.86978442859,312.39456569414,327.84548435462,349.70179235499,366.99791252626,391.46460164194,410.82629477826,438.21464222188,467.42914467878,490.54793493862,523.2511306012],"description":"1/5-comma meantone scale (Verheijen)"},"meanfifth2":{"frequencies":[261.6255653006,279.06726965397,292.86986732103,312.39452419152,327.84547867349,349.70184487387,366.99801003998,391.46454285105,417.56218018201,438.2147004401,467.42901237995,490.54793493862,523.2511306012],"description":"1/5-comma meantone by John Holden (1770)"},"meanfifth_19":{"frequencies":[261.6255653006,274.56546814423,279.06726965397,292.86978442859,307.35519222791,312.39456569414,327.84548435462,344.06059968708,349.70179235499,366.99791252626,373.01539917593,391.46460164194,410.82629477826,417.56217294621,438.21464222188,459.88868900496,467.42914467878,490.54793493862,514.81033759999,523.2511306012],"description":"19 of 1/5-comma meantone scale"},"meanfifth_43":{"frequencies":[261.6255653006,265.91515911649,270.13633240739,274.56546814423,279.06726965397,283.49717461664,288.14537375445,292.86978442859,297.67175429757,302.39711110066,307.35519222791,312.39456569414,317.35355938713,322.556865357,327.84548435462,333.22081516619,338.51040756711,344.06059968708,349.70179235499,355.43547760922,361.07770857381,366.99791252626,373.01539917593,378.93660287884,385.14971481892,391.46460164194,397.88302689184,404.19904307077,410.82629477826,417.56217294621,424.19061149626,431.14564594215,438.21464222188,445.39957775044,452.46991103879,459.88868900496,467.42914467878,475.09307907327,482.63477102771,490.54793493862,498.59100550039,506.50570672499,514.81033759999,523.2511306012],"description":"Complete 1/5-comma meantone scale"},"meanfiftheb":{"frequencies":[261.6255653006,275.80023422757,293.11157312801,311.73372470712,328.53333183909,349.48325286892,368.3828117434,391.46459711956,412.7266004334,438.69360944226,466.62683936965,491.82624824197,523.2511306012],"description":"\"1/5-comma\" meantone with equal beating fifths"},"meangold":{"frequencies":[261.6255653006,272.97231199113,292.38331430233,313.17462880702,326.75706743029,349.99269211627,365.17193449866,391.13923210785,408.10300926149,437.12312635029,468.20685771475,488.51307131873,523.2511306012],"description":"Meantone scale with Blackwood's R = phi, and diat./chrom. 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Pietro Aaron's temp. (1523). 6/5 beats twice 3/2"},"meanquar_14":{"frequencies":[261.6255653006,273.37431312998,292.50627485027,305.64177427204,312.977175335,327.03195662575,349.91912034749,365.63284274659,391.22147055517,408.78994578219,418.60090448096,437.39890198442,468.01003810189,489.02683710225,523.2511306012],"description":"1/4-comma meantone scale with split D#/Eb and G#/Ab, Otto Gibelius (1666)"},"meanquar_15":{"frequencies":[261.6255653006,273.37431312998,279.93529690293,292.50627485027,305.64177427204,312.977175335,327.03195662575,349.91912034749,365.63284274659,391.22147055517,408.78994578219,418.60090448096,437.39890198442,468.01003810189,489.02683710225,523.2511306012],"description":"1/4-comma meantone scale with split C#/Db, D#/Eb and 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fourth"},"meansev":{"frequencies":[261.6255653006,275.93321340298,293.28595453555,311.72996498387,328.77769811601,349.45369437647,368.5644419122,391.74252566418,413.16594588103,439.14890519043,466.76586696593,492.29212632197,523.2511306012],"description":"1/7-comma meantone scale, Jean-Baptiste Romieu (1755)"},"meansev2":{"frequencies":[261.6255653006,273.98141462199,292.76593693997,312.83835055233,327.61283758281,350.07440004945,366.60744235102,391.74252566418,410.24343789088,438.37026184168,468.42550014967,490.54793493862,524.18054130269],"description":"Meantone scale with 1/7-comma stretched octave (stretched meansept)"},"meansev_19":{"frequencies":[261.6255653006,275.93321340298,278.07859353335,293.28589524255,309.32501829942,311.72996858511,328.77775508885,346.75764506664,349.4536277652,368.56443339655,371.42996022741,391.74260033637,413.16585280598,416.37814821359,439.14890011719,463.16493144882,466.76596133102,492.29202110912,496.11959049595,523.2511306012],"description":"19 of 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spread over 2 fifths"},"meansixthm2":{"frequencies":[261.6255653006,276.14113065853,293.11251278827,310.24975557428,328.38895179964,349.55706816887,367.91095120397,391.62667645325,414.52380581681,438.75941205608,465.72523006308,491.56462836305,523.2511306012],"description":"modified 1/6-comma meantone scale, wolf spread over 4 fifths"},"meansixthpm":{"frequencies":[261.6255653006,275.00020270933,293.00227310437,309.72478954314,328.14198392915,348.83408706747,367.49599295996,391.5530240856,412.50030385781,438.51190905657,465.11211608996,491.10256480205,523.2511306012],"description":"modified 1/6P-comma temperament, French 18th century"},"meansixthso":{"frequencies":[261.6255653006,273.09145986506,292.50627485027,313.30134186202,327.03195662575,350.28154752005,365.63284274659,391.62667645325,408.78994578219,437.85193595173,468.98001879925,489.53334447372,524.3356019912],"description":"1/6-comma meantone scale with 1/6-comma stretched oct, Dave Keenan TL 13-12-99"},"meanstr":{"frequencies":[261.6255653006,272.52663052146,292.30447317753,313.51763757869,326.58087306932,350.28154752005,364.87661266094,391.35649333595,407.66301227525,437.24799400905,468.98001879925,488.52085380073,523.97386302914],"description":"Meantone with 1/9-comma stretched octave, Petr Parizek (2006)"},"meanten":{"frequencies":[261.6255653006,276.96346718799,293.59840699152,311.2324721493,329.47860040677,349.26769656434,369.74365294187,391.95114287501,414.92943551322,439.85086739936,466.26912673157,493.60433806962,523.2511306012],"description":"1/10-comma meantone scale"},"meanthird":{"frequencies":[261.6255653006,271.40047399919,291.9012907804,313.95067836072,325.68056936328,350.28154752005,363.36884069528,390.81668391305,405.4184580124,436.04260883433,468.98001879925,486.50215045777,523.2511306012],"description":"1/3-comma meantone scale (Salinas)"},"meanthird_19":{"frequencies":[261.6255653006,271.40047399919,281.38801176707,291.9012907804,302.80736724606,313.95067836072,325.68056936328,337.848714425,350.28154752005,363.36884069528,376.74081403286,390.81668391305,405.4184580124,420.33785775232,436.04260883433,452.33412516107,468.98001879925,486.50215045777,504.40543017669,523.2511306012],"description":"Complete 1/3-comma meantone scale"},"meanthirdeb":{"frequencies":[261.6255653006,273.41679662438,292.30169912182,312.83755546226,326.81234905863,349.91518709086,365.63683018302,390.81669745772,408.5035451685,436.83089868331,467.63468237516,488.59687355467,523.2511306012],"description":"\"1/3-comma\" meantone with equal beating fifths"},"meanvar1":{"frequencies":[261.6255653006,274.22463192287,292.50627485027,312.00669222389,327.03195662575,349.55706816887,366.3906401674,391.22147055517,410.48618883318,437.39890198442,467.04206359353,489.53334447372,523.2511306012],"description":"Variable meantone 1: C-G-D-A-E 1/4, others 1/6"},"meanvar2":{"frequencies":[261.6255653006,274.19219069011,292.50627485027,312.04360750473,327.03195662575,349.70184487387,366.23895640989,391.22147055517,410.65012590831,437.39890198442,467.23549927892,489.3306802979,523.2511306012],"description":"Variable meantone 2: C..E 1/4, 1/5-1/6-1/7-1/8 outward both directions"},"meanvar3":{"frequencies":[261.6255653006,275.36250599118,292.50627485027,310.71739423852,327.03195662575,349.55706816887,367.15000817177,391.22147055517,413.04376116614,437.39890198442,466.0760911248,489.53334447372,523.2511306012],"description":"Variable meantone 3: C..E 1/4, 1/6 next, then Pyth."},"meanvar4":{"frequencies":[261.6255653006,275.07759559501,292.50627485027,311.03921839762,327.03195662575,349.91912034749,366.77012764335,391.22147055517,412.61639318626,437.39890198442,466.55882736321,489.02683710225,523.2511306012],"description":"Variable meantone 4: naturals 1/4-comma, accidentals 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Merrick's melodically tuned equal temperament (1811)"},"mersen_l1":{"frequencies":[261.6255653006,279.06726965397,290.69507255622,313.95067836072,327.03195662575,348.83408706747,372.08969287196,392.4383479509,418.60090448096,436.04260883433,470.92601754108,490.54793493862,523.2511306012],"description":"Mersenne lute 1"},"mersen_l2":{"frequencies":[261.6255653006,279.06726965397,294.32876096318,313.95067836072,327.03195662575,348.83408706747,372.08969287196,392.4383479509,418.60090448096,436.04260883433,470.92601754108,490.54793493862,523.2511306012],"description":"Mersenne lute 2"},"mersen_s1":{"frequencies":[261.6255653006,279.06726965397,290.69507255622,313.95067836072,327.03195662575,348.83408706747,372.08969287196,392.4383479509,418.60090448096,436.04260883433,465.11211608996,490.54793493862,523.2511306012],"description":"Mersenne spinet 1"},"mersen_s2":{"frequencies":[261.6255653006,272.52663052146,294.32876096318,306.59245933664,327.03195662575,348.83408706747,363.36884069528,392.4383479509,408.78994578219,436.04260883433,465.11211608996,490.54793493862,523.2511306012],"description":"Mersenne spinet 2"},"mersenmt1":{"frequencies":[261.6255653006,273.37431312998,292.50627485027,311.03921839762,327.03195662575,349.91912034749,365.63284274659,391.22147055517,408.78994578219,437.39890198442,466.55882736321,489.02683710225,523.2511306012],"description":"Mersenne's Improved Meantone 1"},"mersenmt2":{"frequencies":[261.6255653006,273.37431312998,292.50627485027,309.11326130363,327.03195662575,349.91912034749,365.63284274659,391.22147055517,408.78994578219,437.39890198442,465.11211608996,489.02683710225,523.2511306012],"description":"Mersenne's Improved Meantone 2"},"mersenne":{"frequencies":[261.6255653006,272.52663052146,279.06726965397,290.69507255622,294.32876096318,306.59245933664,310.07474405997,313.95067836072,322.99452506247,327.03195662575,340.65828815182,344.52749339997,348.83408706747,363.36884069528,367.91095120397,372.08969287196,376.74081403286,387.59343007496,392.4383479509,408.78994578219,413.43299207996,418.60090448096,430.65936674996,436.04260883433,454.2110508691,459.88868900496,465.11211608996,470.92601754108,484.4917875937,490.54793493862,510.98743222773,523.2511306012],"description":"31-note choice system of Mersenne, Harmonie universelle (1636)"},"meyer":{"frequencies":[261.6255653006,279.06726965397,290.69507255622,294.32876096318,299.00064605783,305.22982618403,313.95067836072,327.03195662575,348.83408706747,366.27579142084,373.75080757229,392.4383479509,418.60090448096,436.04260883433,448.50096908674,457.84473927605,465.11211608996,470.92601754108,490.54793493862,523.2511306012],"description":"Max Meyer, see Doty, David, 1/1 August 1992 (7:4) p.1 and 10-14"},"meyer_29":{"frequencies":[261.6255653006,268.26840191956,275.93321340298,286.15296204753,289.72987407313,294.32876096318,306.59245933664,321.92208230347,327.03195662575,331.11985608357,343.38355445704,344.91651675372,357.69120255941,367.91095120397,372.50983809402,383.2405741708,386.30649876417,392.4383479509,408.78994578219,413.89982010446,429.2294430713,441.49314144476,457.84473927605,459.88868900496,482.88312345521,490.54793493862,496.67978412536,510.98743222773,515.07533168556,523.2511306012],"description":"Max Meyer, see Doty, David, 1/1 August 1992 (7:4) p.1 and 10-14"},"mid_enh1":{"frequencies":[261.6255653006,269.10058145205,336.37572681506,348.83408706747,392.4383479509,403.65087217807,504.56359022259,523.2511306012],"description":"Mid-Mode1 Enharmonic, permutation of Archytas's with the 5/4 lying medially"},"mid_enh2":{"frequencies":[261.6255653006,271.31540105247,339.14425131559,348.83408706747,392.4383479509,406.97310157871,508.71637697339,523.2511306012],"description":"Permutation of Archytas' Enharmonic with the 5/4 medially and 28/27 first"},"miller19":{"frequencies":[261.6255653006,271.16557874802,283.07475767856,293.39690257971,304.09543631541,315.18408718336,326.67707691855,338.58915326012,350.93559605343,363.73224209988,376.99551198295,390.74241649248,407.9032302438,422.77716528297,438.1934715504,454.17192383337,470.73301771751,487.89800430439,505.68889852562,524.12852955557],"description":"TOP tempered nr. 64 [1202.9, 570.4479508], 7-limit {225/224, 1029/1000}"},"miller7":{"frequencies":[261.6255653006,274.70684356563,294.32876096318,313.95067836072,329.64821227876,353.19451315581,366.27579142084,392.4383479509,412.06026534844,439.53094970501,470.92601754108,494.47231841813,523.2511306012],"description":"Herman Miller, 7-limit JI. mode of parizek_ji1"},"miller_12":{"frequencies":[261.6255653006,273.36657578691,291.63627719304,313.29104303136,327.35065305942,349.22823143301,364.90060015836,391.99543598175,418.19337019276,436.9606979923,456.57025003029,487.08386390194,523.2511306012],"description":"Herman Miller, scale with appr. to three 7/4 and one 11/8. 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Tuning List 22-1-99"},"miller_sp":{"frequencies":[261.6255653006,276.74268633071,292.73329748773,304.15432597486,321.72882314722,340.31880135827,353.5963846,374.02771873076,395.63960626236,411.07553805605,434.82810464551,459.95313047266,477.89826295658,505.51194770063,525.23456349057],"description":"Herman Miller, Superpelog temperament, TOP tuning"},"minor_5":{"frequencies":[261.6255653006,299.00064605783,348.83408706747,418.60090448096,465.11211608996,523.2511306012],"description":"A minor pentatonic"},"minor_clus":{"frequencies":[261.6255653006,279.06726965397,294.32876096318,313.95067836072,348.83408706747,353.19451315581,372.08969287196,392.4383479509,418.60090448096,441.49314144476,465.11211608996,470.92601754108,523.2511306012],"description":"Chalmers' Minor Mode Cluster, Genus [333335]"},"minor_wing":{"frequencies":[261.6255653006,294.32876096318,313.95067836072,327.03195662575,348.83408706747,376.74081403286,392.4383479509,418.60090448096,436.04260883433,470.92601754108,490.54793493862,502.32108537715,523.2511306012],"description":"Chalmers' Minor Wing with 7 minor and 6 major triads"},"minortone":{"frequencies":[261.6255653006,264.87670583656,269.18630372462,273.56601964703,276.96554054138,281.47182622933,286.05143175444,290.70554674078,294.31805527354,299.10666990622,303.97319627313,307.75057781118,312.75774231814,317.84637624619,323.01780144749,327.03184444407,332.35271908155,337.76016543181,341.95740725719,347.52112383796,353.17536321933,358.9216002989,363.3818066762,369.29410472703,375.30259493676,379.96636500161,386.14849505708,392.43120962619,398.81614754309,403.7721109712,410.34156772664,417.0179085097,422.20006196255,429.06934285921,436.05038835349,443.14501943782,448.65184388114,455.95150328441,463.36992699746,469.12808274602,476.76089208744,484.51788878959,492.4010934061,498.52001054206,506.63103252794,514.8740254656,523.2511306012],"description":"Minortone temperament, g=182.466089, 5-limit"},"miracle1":{"frequencies":[261.6255653006,266.71173418545,279.86396690685,285.30470202322,299.37379946195,305.19382000629,320.24370022528,326.46944327063,342.56848033562,349.22823143301,366.44956000397,373.57357677338,391.99543598175,399.61607881612,419.32216217931,427.47405410759,448.5538823653,457.27406033445,479.82340237272,489.15147723638,513.27277840175,523.2511306012],"description":"21 out of 72-tET Pyth. scale \"Miracle/Blackjack\", Keenan & Erlich, TL 2-5-2001"},"miracle1a":{"frequencies":[261.6255653006,266.57640943865,279.87817034289,285.17441410431,299.40418912991,305.0699313594,320.29246281951,326.35348199782,342.63803067389,349.1219037468,366.54256247747,373.47879032775,392.11482112276,399.53496279579,419.47115746916,427.40897376302,448.73603972606,457.22764679928,480.04261976898,489.12665346498,513.5333359992,523.2511306012],"description":"Version of Blackjack with just 11/8 intervals"},"miracle2":{"frequencies":[261.6255653006,266.71172956369,274.52699087907,279.86396690685,285.30469707927,293.66477470251,299.3738011912,305.19381471768,314.13668880034,320.24370207508,326.46943949911,336.03573785931,342.56848231438,349.22822739856,359.4614100947,366.44956423737,373.57357245769,380.83607584373,391.99544051026,399.61607650784,407.38486242506,419.32216702351,427.4740516384,435.78441397758,448.55389013814,457.27405769313,466.16375074742,479.82341068742,489.15147723638,498.66088722045,513.27278729609,523.2511306012],"description":"31 out of 72-tET Pythagorean scale \"Miracle/Canasta\", tempered Fokker-M, 36 7-limit tetrads"},"miracle24":{"frequencies":[261.6255653006,266.71173418545,274.52698453615,279.86396690685,285.30470202322,299.37379946195,305.19382000629,320.24370022528,326.46944327063,342.56848033562,349.22823143301,366.44956000397,373.57357677338,391.99543598175,399.61607881612,419.32216217931,427.47405410759,448.5538823653,457.27406033445,466.16376151809,479.82340237272,489.15147723638,498.66089874196,513.27277840175,523.2511306012],"description":"Miracle[24] in 72-tET tuning."},"miracle2a":{"frequencies":[261.6255653006,266.57640943865,274.68028654691,279.87817034289,285.17441410431,293.84366906071,299.40418912991,305.0699313594,314.34400674513,320.29246281951,326.35348199782,336.27457379784,342.63803067389,349.1219037468,359.73515228832,366.54256247747,373.47879032775,380.54627680087,392.11482112276,399.53496279579,407.09552105481,419.47115746916,427.40897376302,435.49700296564,448.73603972606,457.22764679928,465.87994655565,480.04261976898,489.12665346498,498.38259075187,513.5333359992,523.2511306012],"description":"Version of Canasta with just 11/8 intervals"},"miracle3":{"frequencies":[261.6255653006,266.71172956369,271.8967720342,274.52699087907,279.86396690685,285.30469707927,290.85119844166,293.66477470251,299.3738011912,305.19381471768,311.12697293924,314.13668880034,320.24370207508,326.46943949911,332.81620914398,336.03573785931,342.56848231438,349.22822739856,356.01744208336,359.4614100947,366.44956423737,373.57357245769,380.83607584373,384.52012922913,391.99544051026,399.61607650784,407.38486242506,411.32573797959,419.32216702351,427.4740516384,435.78441397758,440.00001524924,448.55389013814,457.27405769313,466.16375074742,470.67322937359,479.82341068742,489.15147723638,498.66088722045,503.48472993456,513.27278729609,523.2511306012],"description":"41 out of 72-tET Pythagorean scale \"Miracle/Studloco\", Erlich/Keenan 2001"},"miracle31s":{"frequencies":[261.6255653006,266.63636836248,274.61234258734,279.87187586531,285.23214274484,293.7643779857,299.39072204343,305.12482507342,314.2521161294,320.27085311289,326.40486440328,336.1687117034,342.60720791066,349.16901789451,359.61381619398,366.50134650551,373.52079096839,380.6746756467,392.06191220286,399.57090708206,407.22371854314,419.40512463865,427.43781242392,435.62434685833,448.6553095271,457.24821364991,466.00569400686,479.94546308962,489.13765420145,498.50589943595,513.41785698047,523.2511306012],"description":"Canasta with Secor's minimax generator of 116.7155941 cents (5:9 exact). XH5, 1976"},"miracle3a":{"frequencies":[261.6255653006,266.57640943865,271.6209387912,274.68028654691,279.87817034289,285.17441410431,290.57088243021,293.84366906071,299.40418912991,305.0699313594,310.84289043406,314.34400674513,320.29246281951,326.35348199782,332.52919812642,336.27457379784,342.63803067389,349.1219037468,355.72847573316,359.73515228832,366.54256247747,373.47879032775,380.54627680087,384.83248369581,392.11482112276,399.53496279579,407.09552105481,411.6807594913,419.47115746916,427.40897376302,435.49700296564,440.40213577526,448.73603972606,457.22764679928,465.87994655565,471.12729153307,480.04261976898,489.12665346498,498.38259075187,503.99602271809,513.5333359992,523.2511306012],"description":"Version of Studloco with just 11/8 intervals"},"miracle3ls":{"frequencies":[261.6255653006,266.8561524992,272.19132869617,274.36355553357,279.84880885615,285.44374339214,291.1505189834,293.47406686496,299.34138986722,305.32601617869,311.43030899178,313.91568307924,320.1916880693,326.59318586748,333.12264767748,335.78115718319,342.4943108472,349.34167821305,356.32594256772,359.16962765504,366.35037871957,373.67471357934,381.14545968569,384.18721873359,391.86813762951,399.70261841457,407.69373119716,410.94736065575,419.16328558448,427.54349328421,436.09121881038,439.57145109254,448.35967321435,457.32356924795,466.46667727785,470.18934850506,479.58967749961,489.177972196,498.95793401383,502.93987502638,512.99500332159,523.2511306012],"description":"Miracle-41 in a 7-limit least-squares tuning, Gene Ward Smith, 2001"},"miracle3p":{"frequencies":[261.6255653006,266.34679554672,270.06721067987,274.94077677072,279.90228841312,284.95333588433,290.09553330897,294.14767822015,299.45579274291,304.85969791727,310.36112062791,314.69634158508,320.37527393455,326.15668500873,332.04242788125,336.6805001021,342.75615313904,348.94144590806,355.2383548887,360.20043713509,366.70052302062,373.3179099666,380.0547104455,385.36343543368,392.31760641523,399.39727291251,406.60469732047,412.28427858225,419.7242587073,427.29849640545,435.00941939202,441.0857666732,449.04549132915,457.14885520764,465.39844769831,471.89927840742,480.41505607532,489.08450736089,497.91040254418,504.86537329764,513.97604599191,523.2511306012],"description":"Least squares Pythagorean approximation to partch_43"},"miracle41s":{"frequencies":[261.6255653006,266.63636836248,269.45164985995,274.61234258734,279.87187586531,285.23214274484,290.69507255622,293.7643779857,299.39072204343,305.12482507342,310.96875093738,314.2521161294,320.27085311289,326.40486440328,332.65635780028,336.1687117034,342.60720791066,349.16901789451,355.85650343121,359.61381619398,366.50134650551,373.52079096839,380.6746756467,384.69403121132,392.06191220286,399.57090708206,407.22371854314,411.52339231679,419.40512463865,427.43781242392,435.62434685833,440.22388881539,448.6553095271,457.24821364991,466.00569400686,470.92601754108,479.94546308962,489.13765420145,498.50589943595,503.76937659657,513.41785698047,523.2511306012],"description":"StudLoco with Secor's minimax generator of 116.7155941 cents (5:9 exact). XH5, 1976"},"miracle_12":{"frequencies":[261.6255653006,279.86396690685,299.37379946195,320.24370022528,336.03572815422,342.56848033562,359.46139971304,366.44956000397,384.52011812375,411.32572372413,440,470.6732130613,523.2511306012],"description":"A 12-tone subset of Blackjack with six 4-7-9-11 tetrads"},"miracle_12a":{"frequencies":[261.6255653006,279.86396690685,299.37379946195,320.24370022528,342.56848033562,366.44956000397,391.99543598175,419.32216217931,448.5538823653,479.82339960115,489.15147723638,513.27277840175,523.2511306012],"description":"A 12-tone chain of Miracle generators and subset of Blackjack"},"24erlich-keenan":{"frequencies":[261.6255653006,266.71173469898,279.86396636799,285.30470202322,290.8512090818,299.37380003836,305.19381941867,320.24370022528,326.46944389922,342.56847967604,349.22823143301,356.01745305102,366.44956070954,373.5735760541,391.99543598175,399.61607958554,407.38487340641,419.32216137194,427.47405410759,448.55388322895,457.27405945401,479.82340237272,489.15147817819,498.66089778183,523.2511306012],"description":"24 note mapping for Erlich/Keenan Miracle scale low version, tuned to 72-equal"},"miracle_8":{"frequencies":[261.6255653006,279.86396690685,314.13668154225,336.03572815422,366.44956000397,391.99543598175,419.32216217931,448.5538823653,523.2511306012],"description":"tet3a in 72-et"},"miring1":{"frequencies":[261.6255653006,285.29448470177,307.6953604706,387.15515639797,420.96788906714,523.2511306012],"description":"Gamelan Miring from Serdang wetan, Tangerang. 1/1=309.5 Hz"},"miring2":{"frequencies":[261.6255653006,279.34865171253,304.66723527068,384.42070010042,412.69311132744,523.2511306012],"description":"Gamelan Miring (Melog gender) from Serdang wetan"},"misca":{"frequencies":[261.6255653006,274.70684356563,289.16509849014,305.22982618403,348.83408706747,392.4383479509,412.06026534844,433.74764773521,457.84473927605,523.2511306012],"description":"21/20 x 20/19 x 19/18=7/6 7/6 x 8/7=4/3"},"miscb":{"frequencies":[261.6255653006,269.80136421624,278.50463402967,319.76457981184,348.83408706747,392.4383479509,404.70204632437,417.75695104451,479.64686971777,523.2511306012],"description":"33/32 x 32/31x 31/27=11/9 11/9 x 12/11=4/3"},"miscc":{"frequencies":[261.6255653006,276.00059636107,292.04714266113,310.07474405997,348.83408706747,392.4383479509,414.00089454161,438.0707139917,465.11211608996,523.2511306012],"description":"96/91 x 91/86 x 86/54=32/27. 32/27 x 9/8=4/3."},"miscd":{"frequencies":[261.6255653006,271.68808704293,282.55561052465,294.32876096318,348.83408706747,392.4383479509,407.5321305644,423.83341578697,441.49314144476,523.2511306012],"description":"27/26 x 26/25 x 25/24=9/8. 9/8 x 32/27=4/3."},"misce":{"frequencies":[261.6255653006,280.31310567921,301.87565226992,327.03195662575,348.83408706747,392.4383479509,420.46965851882,452.81347840488,490.54793493862,523.2511306012],"description":"15/14 x 14/13 x 13/12=5/4. 5/4 x 16/15= 4/3."},"miscf":{"frequencies":[261.6255653006,271.31540105247,279.06726965397,348.83408706747,378.42269266694,392.4383479509,406.97310157871,418.60090448096,504.56359022259,523.2511306012],"description":"SupraEnh1"},"miscg":{"frequencies":[261.6255653006,271.31540105247,279.06726965397,336.37572681506,348.83408706747,392.4383479509,406.97310157871,418.60090448096,504.56359022259,523.2511306012],"description":"SupraEnh 2"},"misch":{"frequencies":[261.6255653006,271.31540105247,279.06726965397,336.37572681506,348.83408706747,392.4383479509,406.97310157871,490.54793493862,504.56359022259,523.2511306012],"description":"SupraEnh 3"},"misty":{"frequencies":[261.6255653006,268.57642185399,270.57706033988,272.59260010205,274.62315370363,276.66883458144,284.01936005382,286.13503371773,288.26646546986,290.41377434565,292.57708030445,300.35025535204,302.58757688062,304.84156607104,307.11234355974,309.40003795144,311.70477168653,319.9861304005,322.36972224007,324.77106769218,327.19030275625,329.62755691287,338.38508739928,340.90573394089,343.44515491415,346.00349213972,348.58088853904,357.84197030948,360.50755209334,363.19298782427,365.89842747751,368.62402219236,378.41760905933,381.23645754858,384.07630597582,386.93730633346,389.81962065329,392.72340320054,403.157261366,406.16039889903,409.18590458221,412.23394976407,415.30469757995,426.33849458487,429.51431022199,432.71378016074,435.93708308397,439.18439906139,450.85263092877,454.21105352848,457.59449053401,461.00313090234,464.43716505707,476.77631130474,480.3278378528,483.9058226648,487.51045723915,491.14194572312,494.80048247871,507.94632001299,511.73003620658,515.54193450341,519.38223078906,523.2511306012],"description":"Misty temperament, g=96.787939, p=400, 5-limit"},"mistyschism":{"frequencies":[261.6255653006,278.75251614148,294.32876096318,310.42486507835,330.74639366397,348.83408706747,372.08969287196,392.4383479509,418.12877421223,440.99519155196,465.63729761752,496.11959049595,523.2511306012],"description":"Mistyschism scale 32805/32768 and 67108864/66430125"},"mixed9_3":{"frequencies":[261.6255653006,273.20871865617,285.30470202322,311.12698372208,349.22823143301,391.99543598175,409.35055662695,427.47405410759,466.16376151809,523.2511306012],"description":"A mixture of the hemiolic chromatic and diatonic genera, 75 + 75 + 150 + 200 c"},"mixed9_4":{"frequencies":[261.6255653006,271.89678302796,282.57123920205,305.19382000629,349.22823143301,391.99543598175,407.38487419079,423.37848741825,457.27406033445,523.2511306012],"description":"Mixed enneatonic 4, each \"tetrachord\" contains 67 + 67 + 133 + 233 cents."},"mixed9_5":{"frequencies":[261.6255653006,277.18263097687,293.66476791741,329.62755691287,349.22823143301,391.99543598175,415.30469757995,440,493.88330125613,523.2511306012],"description":"A mixture of the intense chromatic genus and the permuted intense diatonic"},"mixed9_6":{"frequencies":[261.6255653006,277.18263097687,293.66476791741,311.12698372208,349.22823143301,391.99543598175,415.30469757995,440,466.16376151809,523.2511306012],"description":"Mixed 9-tonic 6, Mixture of Chromatic and Diatonic"},"mixed9_7":{"frequencies":[261.6255653006,277.18263097687,311.12698372208,329.62755691287,349.22823143301,391.99543598175,415.30469757995,466.16376151809,493.88330125613,523.2511306012],"description":"Mixed 9-tonic 7, Mixture of Chromatic and Diatonic"},"mixed9_8":{"frequencies":[261.6255653006,293.66476791741,311.12698372208,329.62755691287,349.22823143301,391.99543598175,440,466.16376151809,493.88330125613,523.2511306012],"description":"Mixed 9-tonic 8, Mixture of Chromatic and Diatonic"},"mixol_chrom":{"frequencies":[261.6255653006,274.08392555301,287.78812183066,302.93486508491,311.12229387098,319.76457981184,359.73515228832,411.12588832951,426.35277308246,434.39716502741,442.75095666255,479.64686971777,523.2511306012,548.16785110602,575.57624366132,605.86973016981,622.24458774197,639.52915962369,719.47030457665,822.25177665903,852.70554616492,868.79433005482,885.50191332511,959.29373943553,1046.5022612024],"description":"Mixolydian chromatic tonos"},"mixol_chrom2":{"frequencies":[261.6255653006,271.31540105247,281.75060878526,332.97799220076,366.27579142084,385.55346465352,406.97310157871,523.2511306012],"description":"Schlesinger's Mixolydian Harmonia in the chromatic genus"},"mixol_chrominv":{"frequencies":[261.6255653006,279.06726965397,299.00064605783,373.75080757229,411.12588832951,429.81342870813,448.50096908674,523.2511306012],"description":"A harmonic form of Schlesinger's Chromatic Mixolydian inverted"},"mixol_diat":{"frequencies":[261.6255653006,274.08392555301,287.78812183066,319.76457981184,338.57426097725,359.73515228832,383.71749577421,411.12588832951,442.75095666255,460.46099492906,479.64686971777,500.50108144463,523.2511306012,548.16785110602,575.57624366132,639.52915962369,677.14852195449,719.47030457665,767.43499154843,822.25177665903,885.50191332511,920.92198985811,959.29373943553,1001.00216288925,1046.5022612024],"description":"Mixolydian diatonic tonos"},"mixol_diat2":{"frequencies":[261.6255653006,281.75060878526,305.22982618403,332.97799220076,348.83408706747,366.27579142084,406.97310157871,457.84473927605,523.2511306012],"description":"Schlesinger's Mixolydian Harmonia, a subharmonic series though 13 from 28"},"mixol_diatcon":{"frequencies":[261.6255653006,281.75060878526,305.22982618403,332.97799220076,392.4383479509,406.97310157871,457.84473927605,523.2511306012],"description":"A Mixolydian Diatonic with its own trite synemmenon replacing paramese"},"mixol_diatinv":{"frequencies":[261.6255653006,299.00064605783,336.37572681506,348.83408706747,411.12588832951,448.50096908674,485.87604984397,523.2511306012],"description":"A Mixolydian Diatonic with its own trite synemmenon replacing paramese"},"mixol_diatinv2":{"frequencies":[261.6255653006,299.00064605783,336.37572681506,348.83408706747,373.75080757229,411.12588832951,448.50096908674,485.87604984397,523.2511306012],"description":"Inverted Schlesinger's Mixolydian Harmonia, a harmonic series from 14 from 28"},"mixol_enh":{"frequencies":[261.6255653006,274.08392555301,287.78812183066,295.1673044417,299.00064605783,302.93486508491,348.83408706747,411.12588832951,418.60090448096,422.44127975143,426.35277308246,469.85815809087,523.2511306012,548.16785110602,575.57624366132,590.33460888341,598.00129211566,605.86973016981,697.66817413493,822.25177665903,837.20180896192,844.88255950285,852.70554616492,939.71631618175,1046.5022612024],"description":"Mixolydian Enharmonic 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Also Secor, 1964"},"wilson_hypenh":{"frequencies":[261.6255653006,266.38239376061,271.31540105247,348.83408706747,392.4383479509,399.57359064092,406.97310157871,523.2511306012],"description":"Wilson's Hyperenharmonic, this genus has a CI of 9/7"},"wilson_l1":{"frequencies":[261.6255653006,269.80136421624,274.70684356563,286.15296204753,294.32876096318,305.22982618403,314.76825825228,327.03195662575,337.2517052703,343.38355445704,359.73515228832,366.27579142084,377.72190990274,392.4383479509,404.70204632437,419.69101100305,431.68218274599,449.66894036041,457.84473927605,472.15238737843,490.54793493862,503.62921320365,523.2511306012],"description":"Wilson 11-limit scale"},"wilson_l2":{"frequencies":[261.6255653006,267.07609791103,279.79400733536,287.78812183066,294.32876096318,305.22982618403,314.76825825228,327.03195662575,335.75280880244,348.83408706747,359.73515228832,373.05867644715,381.53728273004,392.4383479509,411.12588832951,419.69101100305,436.04260883433,447.67041173658,457.84473927605,479.64686971777,490.54793493862,503.62921320365,523.2511306012],"description":"Wilson 11-limit scale"},"wilson_l3":{"frequencies":[261.6255653006,269.80136421624,274.70684356563,286.15296204753,294.32876096318,305.22982618403,313.95067836072,327.03195662575,332.97799220076,343.38355445704,359.73515228832,366.27579142084,381.53728273004,392.4383479509,406.97310157871,418.60090448096,429.2294430713,441.49314144476,457.84473927605,470.92601754108,490.54793493862,499.46698830115,523.2511306012],"description":"Wilson 11-limit scale"},"wilson_l4":{"frequencies":[261.6255653006,267.07609791103,274.70684356563,290.69507255622,299.00064605783,305.22982618403,313.95067836072,327.03195662575,339.14425131559,348.83408706747,356.10146388137,366.27579142084,381.53728273004,392.4383479509,406.97310157871,418.60090448096,436.04260883433,448.50096908674,457.84473927605,470.92601754108,488.36772189445,508.71637697339,523.2511306012],"description":"Wilson 11-limit scale"},"wilson_l5":{"frequencies":[261.6255653006,267.07609791103,279.79400733536,285.40970760065,299.00064605783,305.22982618403,313.95067836072,327.03195662575,332.97799220076,348.83408706747,356.10146388137,366.27579142084,381.53728273004,392.4383479509,406.97310157871,418.60090448096,436.04260883433,448.50096908674,457.84473927605,479.64686971777,488.36772189445,508.71637697339,523.2511306012],"description":"Wilson 11-limit scale"},"wilson_l6":{"frequencies":[261.6255653006,267.57160087561,277.4816601673,285.40970760065,294.32876096318,305.22982618403,312.16686768822,327.03195662575,332.97799220076,348.83408706747,356.76213450082,369.97554688974,381.53728273004,392.4383479509,406.97310157871,416.22249025095,436.04260883433,443.97065626768,457.84473927605,475.68284600109,490.54793493862,499.46698830115,523.2511306012],"description":"Wilson 1 3 7 9 11 15 eikosany plus 9/8 and tritone. Used Stearns: Jewel"},"window":{"frequencies":[261.6255653006,272.52663052146,290.69507255622,294.32876096318,297.67175429757,306.59245933664,327.03195662575,334.88072358477,348.83408706747,363.36884069528,367.91095120397,372.08969287196,376.74081403286,392.4383479509,408.78994578219,418.60090448096,446.50763144636,459.88868900496,465.11211608996,470.92601754108,502.32108537715,523.2511306012],"description":"Window lattice"},"wonder1":{"frequencies":[261.6255653006,272.72256190885,277.86237426839,283.09905309511,288.43442562998,293.8703485525,299.4087202614,312.10830899518,317.99039712482,323.98334274799,330.08923137594,336.31019538088,342.64839962317,357.18202566262,363.91358676728,370.77201292014,377.75969724053,384.87907140314,392.13262172187,408.76514672187,416.46885901676,424.31776026786,432.3145818485,440.46211650535,448.76319953449,467.79774494453,476.61400354229,485.59641603135,494.74811665626,504.07229015717,513.57219283465,523.2511306012],"description":"Wonder Scale, gen=~233.54 cents, 8/7+1029/1024^7/25, LS 12:14:18:21, M.Schulter"},"wonder36":{"frequencies":[261.6255653006,271.89678302796,277.18263097687,282.57123920205,288.06460709314,293.66476791741,299.37379946195,311.12698372208,317.17549194805,323.3415889232,329.62755691287,336.03572815422,342.56848033562,356.01745236555,362.93866220634,369.99442271164,377.18735172911,384.52011812375,391.99543598175,407.38487419079,415.30469757995,423.37848741825,431.60923940535,440,448.5538823653,466.16376151809,475.22628419761,484.46499093218,493.88330125613,503.48470957687,513.27277840175,523.2511306012],"description":"Wonder Scale, 36-tET version"},"wronski":{"frequencies":[261.6255653006,277.97716313189,294.32876096318,308.86351459099,327.03195662575,348.83408706747,370.63621750918,392.4383479509,416.96574469783,441.49314144476,463.29527188648,494.18162334558,523.2511306012],"description":"Wronski's scale, from Jocelyn Godwin, \"Music and the Occult\", p. 105."},"wurschmidt":{"frequencies":[261.6255653006,275.93321340298,294.32876096318,313.95067836072,331.11985608357,353.19451315581,367.91095120397,392.4383479509,413.89982010446,441.49314144476,470.92601754108,490.54793493862,523.2511306012],"description":"W�rschmidt's normalised 12-tone system"},"wurschmidt1":{"frequencies":[261.6255653006,272.52663052146,279.06726965397,294.32876096318,306.59245933664,313.95067836072,327.03195662575,334.88072358477,348.83408706747,363.36884069528,376.74081403286,392.4383479509,408.78994578219,418.60090448096,436.04260883433,446.50763144636,465.11211608996,490.54793493862,502.32108537715,523.2511306012],"description":"W�rschmidt-1 19-tone scale"},"wurschmidt2":{"frequencies":[261.6255653006,272.52663052146,282.55561052465,294.32876096318,306.59245933664,313.95067836072,327.03195662575,334.88072358477,348.83408706747,363.36884069528,376.74081403286,392.4383479509,408.78994578219,418.60090448096,436.04260883433,446.50763144636,465.11211608996,484.4917875937,502.32108537715,523.2511306012],"description":"W�rschmidt-2 19-tone scale"},"wurschmidt_31":{"frequencies":[261.6255653006,267.90457886781,272.52663052146,279.06726965397,287.4304306281,294.32876096318,301.39265122629,306.59245933664,313.95067836072,319.36714514233,327.03195662575,334.88072358477,340.65828815182,348.83408706747,357.20610515709,363.36884069528,376.74081403286,383.2405741708,392.4383479509,401.85686830172,408.78994578219,418.60090448096,428.6473261885,436.04260883433,446.50763144636,454.2110508691,465.11211608996,476.27480687611,490.54793493862,502.32108537715,510.98743222773,523.2511306012],"description":"W�rschmidt's 31-tone system"},"wurschmidt_31a":{"frequencies":[261.6255653006,267.90457886781,272.52663052146,279.06726965397,287.4304306281,294.32876096318,301.39265122629,306.59245933664,313.95067836072,319.36714514233,327.03195662575,334.88072358477,340.65828815182,348.83408706747,357.20610515709,363.36884069528,372.08969287196,383.2405741708,392.4383479509,401.85686830172,408.78994578219,418.60090448096,428.6473261885,436.04260883433,446.50763144636,454.2110508691,465.11211608996,476.27480687611,490.54793493862,502.32108537715,510.98743222773,523.2511306012],"description":"W�rschmidt's 31-tone system with alternative tritone"},"wurschmidt_53":{"frequencies":[261.6255653006,264.89588486686,267.90457886781,272.52663052146,275.93321340298,279.06726965397,282.55561052465,287.4304306281,290.69507255622,294.32876096318,297.67175429757,301.39265122629,306.59245933664,310.07474405997,313.95067836072,319.36714514233,321.48549464138,327.03195662575,331.11985608357,334.88072358477,340.65828815182,344.91651675372,348.83408706747,353.19451315581,357.20610515709,363.36884069528,367.91095120397,372.08969287196,376.74081403286,383.2405741708,387.59343007496,392.4383479509,396.89567239676,401.85686830172,408.78994578219,413.43299207996,418.60090448096,425.82286018978,428.6473261885,436.04260883433,441.49314144476,446.50763144636,454.2110508691,459.88868900496,465.11211608996,470.92601754108,476.27480687611,484.4917875937,490.54793493862,496.11959049595,502.32108537715,510.98743222773,516.79124009995,523.2511306012],"description":"W�rschmidt's 53-tone system"},"wurschmidt_temp":{"frequencies":[261.6255653006,270.6876810201,276.46178051834,282.35904862511,288.38211267756,294.53365605714,300.81641938515,307.23320174366,313.78686192261,320.48031969341,327.31655710978,338.6540596739,345.87796520471,353.25596548096,360.79134753214,368.48746850413,376.34775715481,384.37571538166,392.57491978195,400.94902556208,409.5017589506,423.68596790742,432.72370810117,441.95423435346,451.38165902684,461.01018486849,470.84409628664,480.88777706987,491.14570185547,501.62244073019,512.32266126632,523.2511306012],"description":"W�rschmidt temperament, 5-limit, g=387.744375, 5-limit"},"t-side":{"frequencies":[261.6255653006,272.52663052146,279.06726965397,294.32876096318,327.03195662575,348.83408706747,367.91095120397,392.4383479509,408.78994578219,418.60090448096,436.04260883433,490.54793493862,523.2511306012],"description":"Tau-on-Side"},"t-side2":{"frequencies":[261.6255653006,294.32876096318,306.59245933664,313.95067836072,327.03195662575,348.83408706747,367.91095120397,392.4383479509,436.04260883433,459.88868900496,470.92601754108,490.54793493862,523.2511306012],"description":"Tau-on-Side opposite"},"tagawa_55":{"frequencies":[261.6255653006,277.01530443593,277.97716313189,279.06726965397,280.31310567921,281.75060878526,283.42769574232,285.40970760065,287.78812183066,290.69507255622,294.32876096318,296.50897400735,299.00064605783,301.87565226992,305.22982618403,307.79478270659,309.19384990071,313.95067836072,319.76457981184,327.03195662575,332.97799220076,336.37572681506,348.83408706747,356.76213450082,359.73515228832,362.25078272391,366.27579142084,369.35373924791,370.63621750918,373.75080757229,377.90359432309,380.54627680087,383.71749577421,392.4383479509,406.97310157871,411.12588832951,418.60090448096,428.11456140098,436.04260883433,442.75095666255,444.76346101102,448.50096908674,453.48431318771,457.84473927605,461.69217405988,465.11211608996,470.92601754108,475.68284600109,479.64686971777,483.00104363188,485.87604984397,488.36772189445,490.54793493862,492.47165233054,494.18162334558,523.2511306012],"description":"Rick Tagawa, 17-limit diamond subset with good 72-tET approximation, 2003"},"tamil":{"frequencies":[261.6255653006,275.62199471997,279.06726965397,290.69507255622,294.32876096318,310.07474405997,313.95067836072,327.03195662575,331.11985608357,348.83408706747,353.19451315581,372.50983809402,387.59343007496,392.4383479509,413.43299207996,418.60090448096,436.04260883433,441.49314144476,465.11211608996,470.92601754108,490.54793493862,496.67978412536,523.2511306012],"description":"Possible Tamil sruti scale. Alternative 11th sruti is 45/32 or 64/45"},"tamil_vi":{"frequencies":[261.6255653006,275.62199471997,290.69507255622,310.07474405997,327.03195662575,348.83408706747,367.91095120397,387.59343007496,413.43299207996,436.04260883433,465.11211608996,490.54793493862,523.2511306012],"description":"Vilarippalai scale in Tamil music, Vidyasankar Sundaresan"},"tamil_vi2":{"frequencies":[261.6255653006,275.62199471997,290.69507255622,310.07474405997,327.03195662575,348.83408706747,367.49599295996,387.59343007496,413.43299207996,436.04260883433,465.11211608996,490.54793493862,523.2511306012],"description":"Vilarippalai scale with 1024/729 tritone"},"tanaka":{"frequencies":[261.6255653006,272.52663052146,275.93321340298,279.06726965397,290.69507255622,294.32876096318,306.59245933664,313.95067836072,327.03195662575,331.11985608357,344.91651675372,348.83408706747,353.19451315581,363.36884069528,367.91095120397,372.08969287196,387.59343007496,392.4383479509,408.78994578219,418.60090448096,436.04260883433,441.49314144476,459.88868900496,465.11211608996,470.92601754108,490.54793493862,523.2511306012],"description":"26-note choice system of Shoh� Tanaka, Studien i.G.d. reinen Stimmung (1890)"},"tanbur":{"frequencies":[261.6255653006,268.33391312882,275.39533189537,282.83844897362,290.69507255622,299.00064605783,306.66732929008,314.73752216614,323.24394168414,332.22294006425,341.71502406609,351.76546595039,523.2511306012],"description":"Sub-40 tanbur scale"},"tansur":{"frequencies":[261.6255653006,275.71279889585,293.19126194179,310.07474405997,328.21516866261,348.83408706747,367.61706537823,391.78834765065,413.56919813705,438.48689188122,465.11211608996,491.022754507,523.2511306012],"description":"William Tans'ur temperament from A New Musical Grammar (1746) p. 73"},"tartini_7":{"frequencies":[261.6255653006,294.32876096318,313.95067836072,367.91095120397,392.4383479509,418.60090448096,490.54793493862,523.2511306012],"description":"Tartini (1754) with 2 neochromatic tetrachords, 1/1=d, Minor Gipsy (Slovakia)"},"taylor_g":{"frequencies":[261.6255653006,274.70684356563,287.78812183066,294.32876096318,313.95067836072,353.19451315581,366.27579142084,392.4383479509,412.06026534844,418.60090448096,431.68218274599,470.92601754108,523.2511306012],"description":"Gregory Taylor's Dutch train ride scale based on pelog_schmidt"},"taylor_n":{"frequencies":[261.6255653006,275.93341798027,292.67158636845,310.42509491746,327.40170814054,348.83408706747,367.9112241576,391.33200541501,413.90012676351,437.76975193523,465.63764214343,491.10256480205,523.2511306012],"description":"Nigel Taylor's Circulating Balanced temperament (20th cent.)"},"telemann":{"frequencies":[261.6255653006,264.94361147373,271.70648167539,275.15237829755,278.64197723942,282.17583275232,289.3785657319,293.0485888979,296.76515515861,300.52885648597,304.34029066685,308.20006306951,312.10878854255,316.06708432391,324.13491490251,328.24573110938,332.40868242763,336.62443200122,345.21700307457,349.59519124833,354.02890545793,363.06573983159,367.67029324081,372.33324354561,377.05533136015,386.67993129161,391.58396987353,396.55020354877,406.67242132093,411.83001550364,417.05301810033,422.34226102699,433.12283887627,438.61588607285,444.17860098504,449.81186203693,461.29362042034,467.14394139401,473.06846134744,485.14386048744,491.29666030217,497.52749252881,503.83734680745,516.69814597997,523.2511306012],"description":"G.Ph. Telemann (1767). 55-tET interpretation of Klang- und Intervallen-Tafel"},"telemann_28":{"frequencies":[261.6255653006,264.94361147373,275.15237829755,278.64197723942,293.0485888979,296.76515515861,308.20006306951,312.10878854255,328.24573110938,332.40868242763,345.21700307457,349.59519124833,354.02890545793,367.67029324081,372.33324354561,386.67993129161,391.58396987353,396.55020354877,406.67242132093,411.83001550364,438.61588607285,444.17860098504,461.29362042034,467.14394139401,473.06846134744,491.29666030217,497.52749252881,516.69814597997,523.2511306012],"description":"Telemann's tuning as described on Sorge's monochord, 1746, 1748, 1749"},"temes-mix":{"frequencies":[261.6255653006,306.31659399917,323.38698268281,342.47239171077,361.55773069062,378.62819763364,399.72843132859,423.31905787312,446.91000942727,523.2511306012],"description":"Temes' 5-tone Phi scale mixed with its octave inverse"},"temes-ur":{"frequencies":[261.6255653006,306.31659399917,323.38703872151,342.47239171077,361.55773069062,423.31905787312],"description":"Temes' Ur 5-tone phi scale"},"temes":{"frequencies":[261.6255653006,306.31659399917,323.38703872151,342.47239171077,361.55773069062,423.31905787312,495.63057556553,523.2511306012,554.13187513888,585.01259700885,684.94462120932],"description":"Temes' 5-tone Phi scale / 2 cycle"},"temes2-mix":{"frequencies":[261.6255653006,306.31659399917,323.38698268281,342.47239171077,361.55773069062,399.72843132859,423.31905787312,468.0102705885,495.63057556553,523.2511306012,552.41124604023,585.01259700885,646.77396536561,684.94438778203,757.25639526728,799.45686265718,846.63811574624,893.82001885454,1046.5022612024],"description":"Temes' 2 cycle Phi scale mixed with its 4/1 inverse"},"temp10coh":{"frequencies":[261.6255653006,279.06726965397,299.10339764541,320.57805584394,343.5945271479,368.2635494613,394.70435354475,423.05284121745,453.57582505819,488.36772189445,523.2511306012],"description":"Differential coherent 10-tone scale, OdC, 2003"},"temp10ebss":{"frequencies":[261.6255653006,280.43397904206,300.58585223371,322.17714382919,345.31067040124,370.09659148016,396.65293718743,425.1061627261,455.59176355181,488.25490599611,523.2511306012],"description":"Cycle of 10 equal \"beating\" 15/14's"},"temp11ebst":{"frequencies":[261.6255653006,278.68301283272,296.80966039395,316.07252488244,336.70993118161,358.64093492832,381.94662420398,406.71316497313,433.24697173408,461.44397806515,491.40843569917,523.2511306012],"description":"Cycle of 11 equal beating 9/7's"},"temp12coh3":{"frequencies":[261.6255653006,279.8393060116,294.68135606466,311.32770136359,332.21069717879,353.56473801237,370.2386298036,397.61708850394,418.97112933752,440.1984563065,471.2874275201,496.80305467842,523.2511306012],"description":"Differential coherent scale, interval=3, OdC, 2003"},"temp12ebf":{"frequencies":[261.6255653006,277.18807786937,293.58315284916,311.09098010692,329.5354160273,349.23174343306,369.98176018664,391.84186131702,415.18563115404,439.77824302677,466.03998256716,493.70667148145,523.2511306012],"description":"Equal beating temperament tuned by The Best Factory Tuners (1840)"},"temp12ebf4":{"frequencies":[261.6255653006,276.98801737971,293.51517393789,310.79793252689,329.39098365485,348.83408706747,369.75126958642,391.78747833067,414.83115644933,439.62189128662,465.54602917011,493.43560586205,523.2511306012],"description":"Eleven equal beating fifths and just fourth"},"temp12ebfo":{"frequencies":[261.6255653006,277.20265787963,293.64844512428,311.16011036869,329.64835309433,349.33484978517,370.11921182839,392.06266066657,415.42830219132,440.09698059047,466.36447845344,494.0968438935,523.62658899088],"description":"Equal beating fifths and fifth beats twice octave at C"},"temp12ebfp":{"frequencies":[261.6255653006,277.75307788644,293.77513637875,310.82931496301,329.94340332986,349.12935317325,370.63270249518,391.99544730302,416.18671544528,440.21980402758,465.80107112682,494.47220378931,523.2511306012],"description":"All fifths except G#-Eb beat same as 700 c. 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Tonos-29"},"tonos31_pis":{"frequencies":[261.6255653006,273.51763645063,300.86940009569,334.29933343966,388.21858076863,429.81342870813,462.87600014722,501.44900015948,523.2511306012,547.03527290125,601.73880019138,668.59866687931,776.43716153726,859.62685741626,925.75200029443,1046.5022612024],"description":"Diatonic Perfect Immutable System in the new Tonos-31"},"tonos31_pis2":{"frequencies":[261.6255653006,285.40970760065,313.95067836072,348.83408706747,405.0976494977,448.50096908674,483.00104363188,523.2511306012,546.00117975777,570.81941520131,627.90135672144,697.66817413493,810.19529899541,897.00193817349,966.00208726375,1046.5022612024],"description":"Diatonic Perfect Immutable System in the new 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Smith"},"trab19":{"frequencies":[261.6255653006,279.06726965397,294.32876096318,297.67175429757,306.59245933664,313.95067836072,327.03195662575,334.88072358477,348.83408706747,367.91095120397,372.08969287196,392.4383479509,408.78994578219,418.60090448096,436.04260883433,446.50763144636,459.88868900496,465.11211608996,490.54793493862,523.2511306012],"description":"Diamond {1,3,5,45,75,225}"},"trab19a":{"frequencies":[261.6255653006,279.06726965397,294.32876096318,297.67175429757,306.59245933664,313.95067836072,327.03195662575,344.91651675372,348.83408706747,367.91095120397,372.08969287196,392.4383479509,396.89567239676,418.60090448096,436.04260883433,446.50763144636,459.88868900496,465.11211608996,490.54793493862,523.2511306012],"description":"Diamond {1,3,9,15,675}"},"tranh":{"frequencies":[261.6255653006,290.69507255622,348.83408706747,392.4383479509,436.04260883433,523.2511306012],"description":"Bac Dan Tranh scale, Vietnam"},"tranh2":{"frequencies":[261.6255653006,290.69507255622,307.79478270659,392.4383479509,436.04260883433,523.2511306012],"description":"Dan Ca Dan Tranh Scale"},"tranh3":{"frequencies":[261.6255653006,317.68818643644,348.83408706747,392.4383479509,473.41768959156,476.53227965466,523.2511306012],"description":"Sa Mac Dan Tranh scale"},"tri12-1":{"frequencies":[261.6255653006,264.29521392612,275.21650375777,319.76457981184,323.02748368748,332.97799220076,336.37572681506,406.97310157871,411.12588832951,428.11456140098,432.48307733364,502.48719684718,523.2511306012],"description":"12-tone Tritriadic of 7:9:11"},"tri12-2":{"frequencies":[261.6255653006,294.32876096318,305.22982618403,336.37572681506,348.83408706747,356.10146388137,392.4383479509,406.97310157871,448.50096908674,457.84473927605,474.80195184183,504.56359022259,523.2511306012],"description":"12-tone Tritriadic of 6:7:9"},"tri19-1":{"frequencies":[261.6255653006,266.96486255163,269.10058145205,305.22982618403,311.45900631024,313.95067836072,320.35783506196,356.10146388137,363.36884069528,366.27579142084,373.75080757229,376.74081403286,384.42940207435,427.32175665765,436.04260883433,439.53094970501,448.50096908674,508.71637697339,512.78610798918,523.2511306012],"description":"3:5:7 Tritriadic 19-Tone Matrix"},"tri19-2":{"frequencies":[261.6255653006,282.55561052465,290.69507255622,294.32876096318,313.95067836072,322.99452506247,327.03195662575,348.83408706747,353.19451315581,363.36884069528,376.74081403286,387.59343007496,392.4383479509,418.60090448096,423.83341578697,436.04260883433,465.11211608996,470.92601754108,484.4917875937,523.2511306012],"description":"3:5:9 Tritriadic 19-Tone Matrix"},"tri19-3":{"frequencies":[261.6255653006,272.52663052146,279.06726965397,290.69507255622,294.32876096318,313.95067836072,327.03195662575,334.88072358477,348.83408706747,363.36884069528,376.74081403286,392.4383479509,408.78994578219,418.60090448096,436.04260883433,465.11211608996,470.92601754108,490.54793493862,502.32108537715,523.2511306012],"description":"4:5:6 Tritriadic 19-Tone Matrix"},"tri19-4":{"frequencies":[261.6255653006,264.89588486686,290.69507255622,294.32876096318,322.99452506247,327.03195662575,331.11985608357,334.88072358477,363.36884069528,367.91095120397,372.08969287196,376.74081403286,408.78994578219,413.43299207996,418.60090448096,423.83341578697,465.11211608996,470.92601754108,516.79124009995,523.2511306012],"description":"4:5:9 Tritriadic 19-Tone Matrix"},"tri19-5":{"frequencies":[261.6255653006,266.96486255163,284.8811711051,290.69507255622,302.73815413355,316.53463456122,322.99452506247,329.64821227876,336.37572681506,366.27579142084,373.75080757229,406.97310157871,415.27867508032,423.83341578697,432.48307733364,452.19233508746,470.92601754108,480.53675259294,512.78610798918,523.2511306012],"description":"5:7:9 Tritriadic 19-Tone Matrix"},"tri19-6":{"frequencies":[261.6255653006,267.07609791103,294.32876096318,299.00064605783,305.22982618403,336.37572681506,341.71502406609,343.38355445704,348.83408706747,356.10146388137,384.42940207435,392.4383479509,398.6675280771,400.61414686654,406.97310157871,448.50096908674,457.84473927605,465.11211608996,512.57253609913,523.2511306012],"description":"6:7:8 Tritriadic 19-Tone Matrix"},"tri19-7":{"frequencies":[261.6255653006,271.31540105247,288.32205155576,294.32876096318,299.00064605783,305.22982618403,316.53463456122,336.37572681506,348.83408706747,356.10146388137,384.42940207435,392.4383479509,406.97310157871,432.48307733364,448.50096908674,457.84473927605,465.11211608996,474.80195184183,504.56359022259,523.2511306012],"description":"6:7:9 Tritriadic 19-Tone Matrix"},"tri19-8":{"frequencies":[261.6255653006,264.29521392612,272.43653907335,275.21650375777,316.53463456122,319.76457981184,323.02748368748,332.97799220076,336.37572681506,350.27555023717,390.82337532559,406.97310157871,411.12588832951,423.79017189188,428.11456140098,432.48307733364,497.4115685962,502.48719684718,517.96576564563,523.2511306012],"description":"7:9:11 Tritriadic 19-Tone Matrix"},"tri19-9":{"frequencies":[261.6255653006,266.96486255163,286.15296204753,293.02063313667,299.00064605783,320.49131749323,327.03195662575,334.88072358477,341.71502406609,366.27579142084,373.75080757229,400.61414686654,408.78994578219,418.60090448096,427.14378008261,457.84473927605,467.18850946536,478.40103369253,512.78610798918,523.2511306012],"description":"4:5:7 Tritriadic 19-Tone Matrix"},"triang11":{"frequencies":[261.6255653006,294.32876096318,305.22982618403,313.95067836072,327.03195662575,348.83408706747,359.73515228832,366.27579142084,373.75080757229,380.54627680087,392.4383479509,418.60090448096,436.04260883433,448.50096908674,465.11211608996,523.2511306012],"description":"11-limit triangular diamond lattice with 64/63 intervals removed"},"triaphonic_12":{"frequencies":[261.6255653006,275.39533189537,290.69507255622,307.79478270659,327.03195662575,348.83408706747,367.19377586049,387.59343007496,410.39304360878,436.04260883433,461.69217405988,490.54793493862,523.2511306012],"description":"12-tone Triaphonic Cycle, conjunctive form on 4/3, 5/4 and 6/5"},"triaphonic_17":{"frequencies":[261.6255653006,271.31540105247,281.75060878526,293.02063313667,305.22982618403,318.50068819203,332.97799220076,348.83408706747,361.75386806997,375.66747838035,390.69417751556,406.97310157871,422.62591317789,439.53094970501,457.84473927605,477.75103228805,499.46698830115,523.2511306012],"description":"17-tone Triaphonic Cycle, conjunctive form on 4/3, 7/6 and 9/7"},"trichord7":{"frequencies":[261.6255653006,294.32876096318,305.22982618403,327.03195662575,343.38355445704,348.83408706747,392.4383479509,436.04260883433,441.49314144476,457.84473927605,490.54793493862,523.2511306012],"description":"Trichordal undecatonic, 7-limit"},"tricot":{"frequencies":[261.6255653006,264.94025538413,268.70564228797,272.11003565477,275.55755973666,279.4738436282,283.01466417842,286.6003471482,290.673570175,294.35628843049,298.08566525814,302.32211998602,306.15242072385,310.03124984507,314.43747949204,318.42127516569,322.45554578164,327.03835025925,331.18179578139,335.37773516927,339.62683737367,344.45368576554,348.81777463097,353.23715677741,358.25743790514,362.79641682209,367.39290067029,372.61436622199,377.33523951767,382.11592657559,387.54663888312,392.45669803325,397.4289679423,403.0773124301,408.18413893183,413.35566924724,419.23036738005,424.541846554,429.92062250389,436.03074525334,441.55507841911,447.14940523431,453.50438708518,459.25010687752,465.06861996272,470.9608512551,477.65424916833,483.70593529179,489.8342966599,496.79592520903,503.09012862502,509.46407999504,516.70469117363,523.2511306012],"description":"Tricot temperament, g=565.988015, 5-limit"},"tritriad":{"frequencies":[261.6255653006,294.32876096318,313.95067836072,348.83408706747,392.4383479509,418.60090448096,470.92601754108,523.2511306012],"description":"Tritriadic scale of the 10:12:15 triad, natural minor mode"},"tritriad10":{"frequencies":[261.6255653006,274.70684356563,294.32876096318,348.83408706747,366.27579142084,392.4383479509,488.36772189445,523.2511306012],"description":"Tritriadic scale of the 10:14:15 triad"},"tritriad11":{"frequencies":[261.6255653006,309.19384990071,356.76213450082,383.71749577421,421.62797713733,453.48431318771,486.49381977384,523.2511306012],"description":"Tritriadic scale of the 11:13:15 triad"},"tritriad13":{"frequencies":[261.6255653006,294.32876096318,340.11323489078,348.83408706747,392.4383479509,453.48431318771,510.16985233617,523.2511306012],"description":"Tritriadic scale of the 10:13:15 triad"},"tritriad14":{"frequencies":[261.6255653006,294.32876096318,336.37572681506,348.83408706747,392.4383479509,448.50096908674,504.56359022259,523.2511306012],"description":"Tritriadic scale of the 14:18:21 triad"},"tritriad18":{"frequencies":[261.6255653006,294.32876096318,319.76457981184,348.83408706747,392.4383479509,426.35277308246,479.64686971777,523.2511306012],"description":"Tritriadic scale of the 18:22:27 triad"},"tritriad22":{"frequencies":[261.6255653006,294.32876096318,321.08592105074,348.83408706747,392.4383479509,428.11456140098,481.6288815761,523.2511306012],"description":"Tritriadic scale of the 22:27:33 triad"},"tritriad26":{"frequencies":[261.6255653006,294.32876096318,301.87565226992,348.83408706747,392.4383479509,402.50086969323,452.81347840488,523.2511306012],"description":"Tritriadic scale of the 26:30:39 triad"},"tritriad3":{"frequencies":[261.6255653006,305.22982618403,356.10146388137,373.75080757229,436.04260883433,448.50096908674,508.71637697339,523.2511306012],"description":"Tritriadic scale of the 3:5:7 triad. Possibly Mathews's 3.5.7a"},"tritriad32":{"frequencies":[261.6255653006,294.32876096318,322.00069575458,348.83408706747,392.4383479509,429.33426100611,483.00104363188,523.2511306012],"description":"Tritriadic scale of the 26:32:39 triad"},"tritriad3c":{"frequencies":[261.6255653006,305.22982618403,366.27579142084,373.75080757229,427.32175665765,436.04260883433,512.78610798918,523.2511306012],"description":"From 1/1 7/6 7/5, a variant of the 3.5.7 triad"},"tritriad3d":{"frequencies":[261.6255653006,305.22982618403,313.95067836072,363.36884069528,366.27579142084,436.04260883433,508.71637697339,523.2511306012],"description":"From 1/1 7/6 5/3, a variant of the 3.5.7 triad"},"tritriad5":{"frequencies":[261.6255653006,290.69507255622,329.64821227876,366.27579142084,406.97310157871,423.83341578697,470.92601754108,523.2511306012],"description":"Tritriadic scale of the 5:7:9 triad. Possibly Mathews's 5.7.9a."},"tritriad68":{"frequencies":[261.6255653006,305.22982618403,348.83408706747,392.4383479509,406.97310157871,457.84473927605,465.11211608996,523.2511306012],"description":"Tritriadic scale of the 6:7:8 triad"},"tritriad68i":{"frequencies":[261.6255653006,299.00064605783,348.83408706747,392.4383479509,398.6675280771,448.50096908674,465.11211608996,523.2511306012],"description":"Tritriadic scale of the subharmonic 6:7:8 triad"},"tritriad69":{"frequencies":[261.6255653006,294.32876096318,305.22982618403,348.83408706747,392.4383479509,406.97310157871,457.84473927605,523.2511306012],"description":"Tritriadic scale of the 6:7:9 triad, septimal natural minor"},"tritriad7":{"frequencies":[261.6255653006,264.29521392612,323.02748368748,332.97799220076,336.37572681506,411.12588832951,428.11456140098,523.2511306012],"description":"Tritriadic scale of the 7:9:11 triad"},"tritriad9":{"frequencies":[261.6255653006,272.93037367779,319.76457981184,362.25078272391,377.90359432309,442.75095666255,461.88217083933,523.2511306012],"description":"Tritriadic scale of the 9:11:13 triad"},"tsjerepnin":{"frequencies":[261.6255653006,290.69507255622,313.95067836072,348.83408706747,367.91095120397,392.4383479509,418.60090448096,470.92601754108,490.54793493862,523.2511306012],"description":"Scale from Ivan Tsjerepnin's Santur Opera (1977) & suite from it Santur Live!"},"tsuda13":{"frequencies":[261.6255653006,281.75060878526,283.42769574232,322.00069575458,340.11323489078,362.25078272391,377.90359432309,402.50086969323,425.14154361347,442.75095666255,485.87604984397,518.26778650024,523.2511306012],"description":"Mayumi Tsuda's Harmonic-13 scale. 1/1=440 Hz."},"tuneable3":{"frequencies":[36.70809598968,41.95210970249,42.82611198796,43.59086398774,44.04971518762,44.86545065405,45.8851199871,46.71939489596,47.1961234153,47.72052478658,48.94412798624,49.55592958607,50.47363198581,51.39133438555,52.00313598538,52.44013712811,53.02280531843,53.39359416681,55.06214398452,57.10148265061,57.68415084093,58.73295358349,59.65065598323,61.1801599828,62.40376318246,62.92816455374,64.23916798194,66.07457278142,66.74199270851,67.29817598108,68.17217826655,68.82767998065,70.35718398022,73.41619197936,79.53420797764,80.7578111773,82.59321597678,85.65222397592,87.18172797549,88.09943037523,89.14823311779,89.73090130811,90.10169015649,91.7702399742,94.39224683061,95.44104957317,96.35875197291,97.88825597248,100.94726397162,102.7826687711,104.00627197076,104.88027425623,105.53577597033,110.12428796904,114.20296530123,114.71279996775,115.36830168185,116.24230396732,117.46590716698,119.30131196646,120.61231539466,122.3603199656,123.88982396517,124.80752636491,125.85632910747,128.47833596388,132.14914556285,134.59635196216,137.6553599613,139.49076476078,140.71436796044,141.58837024591,146.83238395872,152.950399957,154.17400315666,156.00940795614,159.06841595528,161.51562235459,165.18643195356,168.85724155253,171.30444795184,174.36345595098,176.19886075046,183.5404799484,190.88209914634,192.71750394582,195.77651194496,201.89452794324,205.56533754221,208.01254394152,211.07155194066,220.24857593808,229.4255999355,232.48460793464,238.60262393292,244.7206399312,247.77964793034,256.95667192776,269.19270392432,275.3107199226,281.42873592088,293.66476791744],"description":"Marc Sabat, 3 octaves of intervals tuneable by ear"},"tuners1":{"frequencies":[261.6255653006,276.50456653385,293.15590636358,311.0676370396,328.627540632,349.28088891463,369.11955599459,391.76814585061,414.75684959346,439.06365754828,466.60145532616,492.6062100846,523.2511306012],"description":"The Tuner's Guide well temperament no. 1 (1840)"},"tuners2":{"frequencies":[261.6255653006,276.9861853325,293.55936848273,311.27971878774,329.48489606404,349.42029142443,369.90111701824,391.99869425741,415.03962525779,439.89939957166,466.4799232208,493.78769382322,523.2511306012],"description":"The Tuner's Guide well temperament no. 2 (1840)"},"tuners3":{"frequencies":[261.6255653006,276.9180796764,293.64050032496,311.25753558078,329.38199580693,349.20116137147,369.59117881045,391.8877401954,415.37711930697,439.91014033466,466.33569310799,493.52238512763,523.2511306012],"description":"The Tuner's Guide well temperament no. 3 (1840)"},"turkish":{"frequencies":[261.6255653006,279.06726965397,327.03195662575,348.83408706747,392.4383479509,436.04260883433,465.11211608996,523.2511306012],"description":"Turkish, 5-limit from Palmer on a Turkish music record, harmonic minor inverse"},"turkish_24":{"frequencies":[261.6255653006,275.62199471997,279.38237857051,290.36720431405,294.32876096318,310.07474405997,314.30517589183,326.6631048533,331.11985608357,344.13890881665,348.83408706747,367.49599295996,372.50983809402,387.15627241873,392.4383479509,413.43299207996,419.07356785577,435.55080647107,441.49314144476,458.8518784222,465.11211608996,489.99465727995,496.67978412536,516.20836322497,523.2511306012],"description":"Ra'uf Yekta, 24-tone Pythagorean Turkish Theoretical Gamut, 1/1=D (perde yegah) at 294 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Ekrem Karadeniz theoretical Turkish gamut"},"turkish_41a":{"frequencies":[261.6255653006,268.5590565112,272.09440643071,275.67629620338,279.3053384865,286.70737164501,290.48162858661,294.30556868769,298.17984938441,306.08208692954,310.11139540064,314.19374626607,322.52037740267,326.76608188608,335.42589979828,339.84149442859,344.31521657963,348.8478314504,353.4401143131,362.80683626646,367.58287746967,377.32440283229,382.29155536296,387.32409620162,392.42288612931,402.82271318249,408.12552912594,413.49815209867,424.45650702809,430.04411333507,435.70527569249,441.44096240275,453.1398459935,459.10504388656,465.14876849982,477.47594368525,483.76150545705,490.12981126508,503.11902634639,509.74215733443,516.45247616827,523.2511306012],"description":"Karadeniz's theoretical Turkish gamut, quantized to subset of 53-tET"},"turkish_aeu":{"frequencies":[261.6255653006,275.62199471997,279.38237857051,290.36720431405,294.32876096318,310.07474405997,314.30517589183,326.6631048533,331.11985608357,348.83408706747,353.59332287831,367.49599295996,372.50983809402,387.15627241873,392.4383479509,413.43299207996,419.07356785577,435.55080647107,441.49314144476,465.11211608996,471.45776383774,489.99465727995,496.67978412536,516.20836322497,523.2511306012],"description":"Arel-Ezgi-Uzdilek (AEU) 24 tone theoretical system"},"turkish_bagl":{"frequencies":[261.6255653006,277.01530443593,285.40970760065,294.32876096318,311.64221749042,321.08592105074,331.11985608357,348.83408706747,369.35373924791,380.54627680087,392.4383479509,415.52295665389,428.11456140098,441.49314144476,465.11211608996,492.47165233054,507.3950357345,523.2511306012],"description":"Ratios of the 17 frets on the neck of \"Baglama\" (\"saz\") according to Yal��n Tura"},"two29":{"frequencies":[261.6255653006,265.43099677612,267.95417262175,271.85165581044,274.43586616969,278.42762776199,281.0743490329,285.16266958193,287.87341387594,292.06062910037,294.83694510625,299.12544722478,301.96892109338,306.36116019141,309.2734164419,313.77190187131,316.75460431924,321.36190613206,324.41675883995,329.13550925662,332.26425750751,337.09715242073,340.3015837153,345.25138423021,348.53332930799,353.60286331966,356.96419720496,362.15636101402,365.59900408717,370.91676405444,374.44268531179,379.88907958456,383.50028913155,389.07842928561,392.77699240278,398.49006531303,402.2780950448,408.12936467525,412.00902517967,418.00183444819,421.97534223334,428.1131149215,432.1827401118,438.46898282094,442.63705045414,449.07535460876,453.34424596425,459.9382898638,464.31044382305,471.06399474345,475.54190918343,482.45882552933,487.04505874954,494.12929225872,498.82646444278,506.0820624438,510.89285715645,518.32396488098,523.2511306012],"description":"Two 29-tET scales 25 cents shifted, many near just intervals"},"two29a":{"frequencies":[261.6255653006,264.02813680074,267.95417262175,270.41486126945,274.43586616969,276.95607779319,281.0743490329,283.65552346679,287.87341387594,290.51702578379,294.83694510625,297.54450482308,301.96892109338,304.74197548856,309.2734164419,312.11354980287,316.75460431924,319.66343925668,324.41675883995,327.39595721478,332.26425750751,335.31552138031,340.3015837153,343.42665631876,348.53332930799,351.73399604284,356.96419720496,360.24228665998,365.59900408717,368.95638908389,374.44268531179,377.88128181162,383.50028913155,387.02206376789,392.77699240278,396.38395721814,402.2780950448,405.97231075214,412.00902517967,415.79260233969,421.97534223334,425.85044246025,432.1827401118,436.15157730833,442.63705045414,446.70189207635,453.34424596425,457.50741431695,464.31044382305,468.5743173866,475.54190918343,479.90892674463,487.04505874954,491.51771254425,498.82646444278,503.40730976502,510.89285715645,515.58451111167,523.2511306012],"description":"Two 29-tET scales 15.826 cents shifted, 13-limit chords, Mystery temperament, Gene Ward Smith"},"xenakis_chrom":{"frequencies":[261.6255653006,274.52698453615,329.62755691287,349.22823143301,391.99543598175,411.32572372413,493.88330125613,523.2511306012],"description":"Xenakis's Byzantine Liturgical mode, 5 + 19 + 6 parts"},"xenakis_diat":{"frequencies":[261.6255653006,293.66476791741,326.46944327063,349.22823143301,391.99543598175,440,489.15147723638,523.2511306012],"description":"Xenakis's Byzantine Liturgical mode, 12 + 11 + 7 parts"},"xenakis_schrom":{"frequencies":[261.6255653006,279.86396690685,326.46944327063,349.22823143301,391.99543598175,419.32216217931,489.15147723638,523.2511306012],"description":"Xenakis's Byzantine Liturgical mode, 7 + 16 + 7 parts"},"xenoga24":{"frequencies":[261.6255653006,265.7783520514,279.38237857051,283.8170195002,294.32876096318,299.00064605783,310.07474405997,314.99656539426,331.11985608357,336.37572681506,348.83408706747,354.37113606854,372.50983809402,378.42269266694,392.4383479509,398.6675280771,419.07356785577,425.72552925031,441.49314144476,448.50096908674,465.11211608996,472.49484809138,496.67978412536,504.56359022259,523.2511306012],"description":"M. Schulter, 3+7 ratios Xeno-Gothic adaptive tuning (keyboards 64:63 apart)"},"xylophone2":{"frequencies":[261.6255653006,295.19538981304,332.68808325276,388.83826257328,446.65787257783,506.59641128799,527.19506190947,579.57827742703,633.13077520476,751.1860077911,842.69088701475],"description":"African Yaswa xylophones (idiophone; calbash resonators with membrane)"},"xylophone3":{"frequencies":[261.6255653006,292.47977325983,348.01999353916,392.4383479509,442.29334161825,523.2511306012],"description":"African Banyoro xylophone (idiophone; loose log)"},"xylophone4":{"frequencies":[261.6255653006,281.70207497315,314.1971709147,349.63190883464,391.76907592069,436.9606979923,505.71930677521,568.9637969584,597.94115990992,660.7800775993,716.43551549302],"description":"African Bapare xylophone (idiophone, loose-log)"},"zalzal":{"frequencies":[261.6255653006,294.32876096318,321.08592105074,348.83408706747,392.4383479509,428.11456140098,465.11211608996,523.2511306012],"description":"Tuning of popular flute by Al Farabi & Zalzal. First tetrachord is modern Rast"},"zalzal2":{"frequencies":[261.6255653006,294.32876096318,331.11985608357,348.83408706747,387.59343007496,419.89288258121,465.11211608996,523.2511306012],"description":"Zalzal's Scale, a medieval Islamic with Ditone Diatonic & 10/9 x 13/12 x 72/65"},"zarlino":{"frequencies":[261.6255653006,294.32876096318,327.03195662575,348.83408706747,392.4383479509,436.04260883433,490.54793493862,523.2511306012],"description":"Ptolemy's Intense Diatonic Systonon, also Zarlino's scale"},"zarlino2":{"frequencies":[261.6255653006,272.52663052146,290.69507255622,294.32876096318,310.07474405997,313.95067836072,327.03195662575,348.83408706747,363.36884069528,367.91095120397,392.4383479509,408.78994578219,436.04260883433,465.11211608996,470.92601754108,490.54793493862,523.2511306012],"description":"16-note choice system of Zarlino, Sopplimenti musicali (1588)"},"zartehijaz1":{"frequencies":[261.6255653006,280.55696721076,336.07142343876,350.07440004945,375.4060213132,393.89732161404,446.43551156053,468.42549744394,502.32108537715,523.2511306012],"description":"Scale from Zarlino temperament extraordinaire -- lower Hijaz tetrachord"},"zesster_a":{"frequencies":[261.6255653006,279.06726965397,313.95067836072,334.88072358477,348.83408706747,392.4383479509,418.60090448096,502.32108537715,523.2511306012],"description":"Harmonic six-star, group A, from Fokker"},"zesster_b":{"frequencies":[261.6255653006,293.02063313667,299.00064605783,334.88072358477,366.27579142084,418.60090448096,457.84473927605,478.40103369253,523.2511306012],"description":"Harmonic six-star, group B, from Fokker"},"zesster_c":{"frequencies":[261.6255653006,299.00064605783,305.22982618403,348.83408706747,398.6675280771,406.97310157871,457.84473927605,465.11211608996,523.2511306012],"description":"Harmonic six-star, group C on Eb, from Fokker"},"zesster_mix":{"frequencies":[261.6255653006,274.70684356563,279.06726965397,293.02063313667,299.00064605783,313.95067836072,334.88072358477,348.83408706747,358.80077526939,366.27579142084,392.4383479509,418.60090448096,457.84473927605,478.40103369253,488.36772189445,502.32108537715,523.2511306012],"description":"Harmonic six-star, groups A, B and C mixed, from Fokker"},"zest24":{"frequencies":[261.6255653006,269.33468959023,272.52663052146,280.55696721076,292.24684137387,300.8582598368,308.87634556583,317.97777315513,326.45210604021,336.07142343876,350.07440004945,360.38977980792,364.66083404534,375.4060213132,391.04793957621,402.57065589001,410.30971075781,422.39999923493,436.81711699543,449.68847932918,465.03699205118,478.73988827571,487.94322738789,502.32108537715,523.2511306012],"description":"Zarlino Extraordinaire Spectrum Temperament (two circles at ~50.28c apart)"},"zir_bouzourk":{"frequencies":[261.6255653006,281.75060878526,305.22982618403,313.95067836072,353.19451315581,392.4383479509,523.2511306012],"description":"Zirafkend Bouzourk (IG #3, DF #9), from both Rouanet and Safi al-Din"},"zwolle":{"frequencies":[261.6255653006,275.62199471997,294.32876096318,310.07474405997,331.11985608357,348.83408706747,367.49599295996,392.4383479509,413.43299207996,441.49314144476,465.11211608996,496.67978412536,523.2511306012],"description":"Henri Arnaut De Zwolle. Pythagorean on G flat."},"zwolle2":{"frequencies":[261.6255653006,273.37431312998,292.50627485027,311.68386704488,327.03195662575,349.91912034749,365.63284274659,391.22147055517,408.78994578219,437.39890198442,467.04206359353,489.02683710225,523.2511306012],"description":"Henri Arnaut De Zwolle's modified meantone tuning (c. 1440)"},"yarman12":{"frequencies":[261.6255653006,283.42769574232,294.32876096318,309.19384990071,332.97799220076,348.83408706747,377.90359432309,392.4383479509,411.12588832951,442.75095666255,465.11211608996,499.46698830115,523.2511306012],"description":"Detempered Yarman 13-limit, [<1 1 -20 -6 -3 -1|, <0 1 38 15 11 8|]"},"yarman12_80":{"frequencies":[261.6255653006,282.84340331238,295.36595061166,319.3201344739,333.45764463229,348.2210758395,376.46181130035,393.12919962609,425.01198472693,443.82887286778,479.82340237272,501.06699929295,523.2511306012],"description":"Ozan Yarman MOS, 80-et version"},"yarman17":{"frequencies":[261.6255653006,274.08392555301,283.42769574232,294.32876096318,309.19384990071,322.00069575458,332.97799220076,348.83408706747,362.25078272391,377.90359432309,392.4383479509,411.12588832951,425.14154361347,442.75095666255,465.11211608996,485.87604984397,499.46698830115,523.2511306012],"description":"80-et commas 13-limit detempering of a chain of 16 fifths"},"yarman_ney-ahengs":{"frequencies":[261.6255653006,275.39533189537,294.32876096318,310.07474405997,327.03195662575,348.83408706747,367.91095120397,392.4383479509,413.43299207996,436.04260883433,465.11211608996,494.18162334558,523.2511306012],"description":"Well Temperament for piano by Ozan Yarman from Ney Ahengs"},"yasser_6":{"frequencies":[261.6255653006,291.88463270656,325.64340264099,363.30663963964,405.32593044476,452.20508247496,523.2511306012],"description":"Yasser Hexad, 6 of 19 as whole tone scale"},"yasser_diat":{"frequencies":[261.6255653006,281.42815779395,291.88463270656,313.97755176024,325.64340264099,350.29154279212,376.80531512858,390.80553229045,420.38583225541,436.00528786292,469.00678383895,486.43275040712,523.2511306012],"description":"Yasser's Supra-Diatonic, the flat notes are V,W,X,Y,and Z"},"yasser_ji":{"frequencies":[261.6255653006,282.64904822654,294.32876096318,304.39128270551,327.03195662575,347.87575166344,359.73515228832,391.36022062136,425.14154361347,434.84468957929,457.84473927605,478.32915853722,523.2511306012],"description":"Yasser's just scale, 2 Yasser hexads, 121/91 apart"},"yekta":{"frequencies":[261.6255653006,279.06726965397,294.32876096318,313.95067836072,327.03195662575,348.83408706747,372.08969287196,392.4383479509,418.60090448096,436.04260883433,470.92601754108,502.32108537715,523.2511306012],"description":"Rauf Yekta's 12-tone tuning suggested in 1922 Lavignac Music Encyclopedia"},"young-g":{"frequencies":[261.6255653006,299.07507698093,319.76457981184,341.88537054616,390.82337532559,446.76650366117,477.67301428683,510.71739232152,583.82257301724,667.39198333921,713.56092257662,762.92356430953,872.13001648254,996.96833978235,1065.93668681199,1139.67601990796,1302.81150610354,1489.29848625885,1592.32474578757,1702.47910946196,1946.17475603251,2224.75468143463,2378.65811671778,2543.20970830682,2907.24890901465,3323.39919648924,3553.30434397593,3799.11599765247,4342.92768045015],"description":"Gayle Young's Harmonium, see PNM 26(2): 204-212 (1988)"},"young-lm_guitar":{"frequencies":[261.6255653006,279.06726965397,290.69507255622,313.95067836072,327.03195662575,348.83408706747,367.91095120397,392.4383479509,418.60090448096,436.04260883433,470.92601754108,490.54793493862,523.2511306012],"description":"LaMonte Young, Tuning of For Guitar '58. 1/1 March '92, inv.of Mersenne lute 1"},"young-lm_piano":{"frequencies":[261.6255653006,289.72987407313,294.32876096318,300.46061014991,343.38355445704,338.01818641865,386.30649876417,392.4383479509,400.61414686654,457.84473927605,450.69091522486,515.07533168556,523.2511306012],"description":"LaMonte Young's Well-Tempered Piano"},"young-w10":{"frequencies":[261.6255653006,277.18263097687,302.26980244078,320.24370022528,349.22823143301,369.99442271164,391.99543598175,427.47405410759,452.89298412314,493.88330125613,523.2511306012],"description":"William Lyman Young 10 out of 24-tET (1961)"},"young-w14":{"frequencies":[261.6255653006,277.18263097687,293.66476791741,302.26980244078,320.24370022528,339.28638158975,359.46139971304,369.99442271164,391.99543598175,415.30469757995,427.47405410759,452.89298412314,479.82340237272,508.3551866238,523.2511306012],"description":"William Lyman Young 14 out of 24-tET (1961)"},"young-wt":{"frequencies":[261.6255653006,285.40970760065,309.19384990071,348.83408706747,392.4383479509,428.11456140098,463.79077485106,523.2511306012],"description":"William Lyman Young \"exquisite 3/4 tone Hellenic Lyre\" dorian"},"young":{"frequencies":[261.6255653006,275.62199471997,293.00227310437,310.07474405997,328.14198392915,348.83408706747,367.49599295996,391.5530240856,413.43299207996,438.51190905657,465.11211608996,491.10256480205,523.2511306012],"description":"Thomas Young well temperament (1807), also Luigi Malerbi nr.2 (1794)"},"young2":{"frequencies":[261.6255653006,276.24519242498,293.00227310437,310.77584116741,328.14198392915,349.22823143301,368.32692341742,391.5530240856,414.36778843034,438.51190905657,466.16376151809,491.65745674141,523.2511306012],"description":"Thomas Young well temperament no.2 (1799)"},"yugo_bagpipe":{"frequencies":[261.6255653006,277.02257024271,294.00421879736,322.47117131255,341.84370465044,381.9375744369,404.41509766528,430.1988069325,452.63145841613,463.74664903953,478.99265177484,502.22604835608,523.2511306012],"description":"Yugoslavian Bagpipe"},"yves":{"frequencies":[261.6255653006,290.69507255622,327.03195662575,348.83408706747,392.4383479509,436.04260883433,465.11211608996,523.2511306012],"description":"St Yves's scale II from Jocelyn Godwin, \"Music and the Occult\", 1995."},"saba_sup":{"frequencies":[261.6255653006,287.78812183066,313.95067836072,327.03195662575,392.4383479509,418.60090448096,470.92601754108,497.08857407114,523.2511306012],"description":"Superparticular version of maqam Sab"},"sabagh":{"frequencies":[261.6255653006,275.67629620338,279.3053384865,286.70737164501,294.30556868769,310.11139540064,314.19374626607,322.52037740267,326.76608188608,331.06767743197,348.8478314504,362.80683626646,367.58287746967,372.42178901277,392.42288612931,413.49815209867,418.94150105041,430.04411333507,441.44096240275,465.14876849982,471.27205084813,483.76150545705,490.12981126508,496.58195036371,523.2511306012],"description":"Twfiq Al-Sabagh, Arabic master musical scale in 53-tET (1954)"},"sabbagh":{"frequencies":[261.6255653006,294.30556868769,321.46759848648,348.8478314504,392.42288612931,428.64035280622,465.14876849982,523.2511306012],"description":"Tawfiq as-Sabbagh, a composer from Syria. 1/1=G"},"safi_diat":{"frequencies":[261.6255653006,276.16031892841,305.22982618403,348.83408706747,392.4383479509,414.24047839262,457.84473927605,523.2511306012],"description":"Safi al-Din's Diatonic, also the strong form of Avicenna's 8/7 diatonic"},"safi_diat2":{"frequencies":[261.6255653006,283.79722337692,310.07474405997,348.83408706747,392.4383479509,425.69583506538,465.11211608996,523.2511306012],"description":"Safi al-Din's 2nd Diatonic, a 3/4 tone diatonic like Ptolemy's Equable Diatonic"},"safi_major":{"frequencies":[261.6255653006,281.75060878526,322.00069575458,348.83408706747,375.66747838035,392.4383479509,523.2511306012],"description":"Singular Major (DF #6), from Safi al-Din, strong 32/27 chromatic"},"salinas_19":{"frequencies":[261.6255653006,272.52663052146,279.06726965397,294.32876096318,306.59245933664,313.95067836072,327.03195662575,340.65828815182,348.83408706747,363.36884069528,372.08969287196,392.4383479509,408.78994578219,418.60090448096,436.04260883433,454.2110508691,465.11211608996,490.54793493862,510.98743222773,523.2511306012],"description":"Salinas' enharmonic tuning for his 19-tone instr. \"instrumentum imperfectum\""},"salinas_24":{"frequencies":[261.6255653006,272.52663052146,279.06726965397,290.69507255622,294.32876096318,306.59245933664,313.95067836072,327.03195662575,340.65828815182,348.83408706747,363.36884069528,367.91095120397,372.08969287196,376.74081403286,392.4383479509,408.78994578219,418.60090448096,436.04260883433,454.2110508691,459.88868900496,465.11211608996,470.92601754108,490.54793493862,510.98743222773,523.2511306012],"description":"Salinas enharmonic system \"instrumentum perfectum\". Subset of Mersenne"},"salinas_enh":{"frequencies":[261.6255653006,272.52663052146,279.06726965397,348.83408706747,392.4383479509,408.78994578219,418.60090448096,523.2511306012],"description":"Salinas's and Euler's enharmonic"},"salunding":{"frequencies":[261.6255653006,282.38958039978,310.76686573877,390.36201910543,419.43149305958,523.2511306012],"description":"Gamelan slunding, Kengetan, South-Bali. 1/1=378 Hz"},"sankey":{"frequencies":[261.6255653006,274.88665260982,292.54735824399,309.58527581215,327.03195662575,348.83408706747,366.73895666255,391.24894371175,412.31687950427,437.13741259348,464.79252184829,489.99465727995,523.2511306012],"description":"John Sankey's Scarlatti tuning, personal evaluation based on d'Alembert's"},"santur1":{"frequencies":[261.6255653006,282.02765077995,319.3201344739,347.21689301951,376.46192220133,427.47393558663,475.68393915562,504.55222794679,523.2511306012],"description":"Persian santur tuning. 1/1=E"},"santur2":{"frequencies":[261.6255653006,281.2143451833,317.48098583281,345.21700307457,375.37611551499,423.78627283082,475.68393915562,498.18106573801,523.2511306012],"description":"Persian santur tuning. 1/1=E"},"sanza":{"frequencies":[261.6255653006,293.15632631094,308.97787266236,346.21547002486,390.18821123181,462.40922843744,524.46149515038,595.18445928535,620.10113226249],"description":"African N'Gundi Sanza (idiophone; set of lamellas, thumb-plucked)"},"sanza2":{"frequencies":[261.6255653006,390.63923480058,465.35666077712,523.2511306012,588.68812410589,663.45725712889,702.9084786129,783.08569314515],"description":"African Baduma Sanza (idiophone, like mbira)"},"sauveur":{"frequencies":[261.6255653006,274.85950244128,292.7026939092,313.25286195357,328.80795208256,349.69755047152,367.27338607435,391.35133250294,417.15885134862,438.29716799286,468.84228427561,491.11646492505,523.2511306012],"description":"Sauveur's tempered system of the harpsichord. Trait� (1697)"},"sauveur2":{"frequencies":[261.6255653006,278.64199172491,293.04864983565,312.10886966906,328.2456799168,349.5951549002,372.33322418948,391.58401058733,417.05308314313,438.61577206336,467.14384425417,491.2966347616,523.2511306012],"description":"Sauveur's Syste^me Chromatique des Musiciens (Memoires 1701), 12 out of 55."},"sauveur_17":{"frequencies":[261.6255653006,275.62199471997,290.36720431405,294.32876096318,310.07474405997,326.6631048533,331.11985608357,348.83408706747,367.49599295996,372.50983809402,392.4383479509,413.43299207996,419.07356785577,441.49314144476,465.11211608996,489.99465727995,496.67978412536,523.2511306012],"description":"Sauveur's oriental system, aft. Kitab al-adwar (Bagdad 1294) by Safi al-Din"},"sauveur_ji":{"frequencies":[261.6255653006,272.52663052146,294.32876096318,313.95067836072,327.03195662575,348.83408706747,367.91095120397,392.4383479509,418.60090448096,436.04260883433,470.92601754108,490.54793493862,523.2511306012],"description":"Aplication des sons harmoniques aux jeux d'orgues (1702) (PB 81/80 & 128/125)"},"savas_bardiat":{"frequencies":[261.6255653006,282.57123920205,317.17549194805,349.22823143301,391.99543598175,423.37848741825,475.22628419761,523.2511306012],"description":"Savas's Byzantine Liturgical mode, 8 + 12 + 10 parts"},"savas_barenh":{"frequencies":[261.6255653006,282.57123920205,329.62755691287,349.22823143301,391.99543598175,423.37848741825,493.88330125613,523.2511306012],"description":"Savas's Byzantine Liturgical mode, 8 + 16 + 6 parts"},"savas_chrom":{"frequencies":[261.6255653006,282.57123920205,323.3415889232,349.22823143301,391.99543598175,423.37848741825,484.46499093218,523.2511306012],"description":"Savas's Chromatic, Byzantine Liturgical mode, 8 + 14 + 8 parts"},"savas_diat":{"frequencies":[261.6255653006,288.06460709314,311.12698372208,349.22823143301,391.99543598175,431.60923940535,466.16376151809,523.2511306012],"description":"Savas's Diatonic, Byzantine Liturgical mode, 10 + 8 + 12 parts"},"savas_palace":{"frequencies":[261.6255653006,277.18263097687,336.03572815422,349.22823143301,391.99543598175,415.30469757995,503.48470957687,523.2511306012],"description":"Savas's Byzantine Liturgical mode, 6 + 20 + 4 parts"},"scalatron":{"frequencies":[261.6255653006,272.52663052146,279.06726965397,294.32876096318,306.59245933664,313.95067836072,327.03195662575,340.65828815182,348.83408706747,367.91095120397,376.74081403286,392.4383479509,408.78994578219,418.60090448096,436.04260883433,459.88868900496,470.92601754108,490.54793493862,510.98743222773,523.2511306012],"description":"Scalatron (tm) 19-tone scale, see manual, 1974"},"scheengaas":{"frequencies":[261.6255653006,273.84069463911,292.6487650037,312.74862113192,327.53979283172,350.03605285217,366.8025131876,391.54284657258,418.19337019276,437.97145880542,467.51204131067,489.62261321254,523.2511306012],"description":"Scheengaas' variation"},"scheffer":{"frequencies":[261.6255653006,274.56546814423,292.86978442859,309.86465789076,327.84548435462,349.70179235499,366.99791252626,391.46460164194,410.82629477826,438.21464222188,467.42914467878,490.54793493862,523.2511306012],"description":"H.Th. Scheffer (1748) modified 1/5-comma temperament, Sweden"},"schidlof":{"frequencies":[261.6255653006,264.89588486686,274.70684356563,280.31310567921,294.32876096318,305.22982618403,315.35224388912,322.99452506247,327.03195662575,348.83408706747,353.19451315581,366.27579142084,373.75080757229,392.4383479509,406.97310157871,420.46965851882,436.04260883433,457.84473927605,467.18850946536,484.4917875937,490.54793493862,523.2511306012],"description":"Schidlof"},"schillinger":{"frequencies":[261.6255653006,262.8879410321,275.85161280553,277.18263097687,278.52007147562,292.25460328695,293.66476791741,295.08173676673,309.63296633914,311.12698372208,312.62820992379,328.04470063332,329.62755691287,331.21805066987,347.55125362114,349.22823143301,350.91330087035,368.21772660991,369.99442271164,371.77969159194,390.11309203208,391.99543598175,393.88686247394,413.31042363438,415.30469757995,417.30859414412,437.88714035463,440,442.12305445465,463.92526470026,466.16376151809,468.41305936011,491.51169649079,493.88330125613,496.26634930797,520.73850287792,523.2511306012],"description":"Joseph Schillinger's double equal temperament, p.664 Mathematical Basis..."},"schis41":{"frequencies":[261.6255653006,266.96486255163,272.52663052146,275.21650375777,280.31310567921,285.40970760065,290.69507255622,294.32876096318,299.00064605783,305.22982618403,311.45900631024,313.95067836072,321.08592105074,327.03195662575,329.64821227876,336.37572681506,343.38355445704,348.83408706747,355.95315006884,363.36884069528,366.27579142084,373.75080757229,380.54627680087,387.59343007496,392.4383479509,398.6675280771,406.97310157871,415.27867508032,418.60090448096,428.11456140098,436.04260883433,441.49314144476,448.50096908674,457.84473927605,465.11211608996,470.92601754108,484.4917875937,490.54793493862,497.4115685962,504.56359022259,512.78610798918,523.2511306012],"description":"41&53 <<1 -8 -14 23 -15 -25 33 -10 81 113||"},"schisynch17":{"frequencies":[261.6255653006,275.80289341725,290.74848220557,294.25152581512,310.19683462128,327.0062098829,330.94609980123,348.87986495302,367.78544978395,387.71551660339,392.38685458718,413.65005636851,436.06549769577,441.31937388998,465.23419873014,490.4449531872,496.35401261224,523.2511306012],"description":"fifth satisfies f^9 + f^8 - 64 = 0"},"schlick":{"frequencies":[261.6255653006,275.62199471997,293.00227310437,311.47852302926,328.14198392915,349.6228209638,367.9112241576,391.5530240856,414.36778843034,438.51190905657,466.69047534984,491.10256480205,523.2511306012],"description":"Reconstructed temp. A. Schlick, Spiegel d. Orgelmacher und Organisten (1511)"},"schlick2":{"frequencies":[261.6255653006,275.31092272332,293.00227310437,311.83045953724,328.14198392915,349.6228209638,367.9112241576,391.5530240856,415.30469757995,438.51190905657,466.69047534984,491.10256480205,523.2511306012],"description":"Schlick's temperament reconstructed by F.J. Ratte (1991)"},"schlick3":{"frequencies":[261.6255653006,275.31092431358,293.00227310437,311.83045953724,328.14198392915,349.6228209638,367.70355049744,391.5530240856,415.07027187895,438.51190905657,466.95405539699,491.10256480205,523.2511306012],"description":"Possible well-tempered interpretation of 1555 tuning, Margo Schulter"},"schlick4":{"frequencies":[261.6255653006,275.29566620843,293.00166043901,311.83758337792,328.14192706649,349.6222474261,367.6987228158,391.55300599201,415.35839309639,438.51185079886,466.95962791236,491.10245700671,523.2511306012],"description":"Another reconstructed Schlick's modified meantone (Poletti?)"},"scholz":{"frequencies":[261.6255653006,271.31540105247,299.00064605783,305.22982618403,348.83408706747,392.4383479509,406.97310157871,457.84473927605,523.2511306012],"description":"Simple Tune #1 Carter Scholz"},"scholz_epi":{"frequencies":[261.6255653006,1046.5022612024,1308.127826503,1569.7533918036,1831.3789571042,2093.0045224048,2354.6300877054,2616.255653006,2877.8812183066,3139.5067836072,3401.1323489078,3662.7579142084,3924.383479509,4186.0090448096,4709.2601754108,5232.511306012,5494.1368713126,5755.7624366132,6279.0135672144,6540.639132515,6802.2646978156,7063.8902631162,7325.5158284168,8372.0180896192,8633.6436549198,9156.894785521,9418.5203508216,10203.3970467234,10465.022612024,10988.2737426252,11511.5248732264,11773.150438527,12558.0271344288,12819.6526997294,13081.27826503,14127.7805262324,14389.406091533,14651.0316568336,16482.4106139378,16744.0361792384,17005.661744539],"description":"Carter Scholz, Epimore"},"schulter":{"frequencies":[261.6255653006,277.184065539,293.66520219021,311.12905403417,329.62853176407,349.23107169224,369.99606406306,391.99572582396,415.30715405467,440.00097595231,466.1672081452,493.88512703986,523.25577305438],"description":"Margo Schulter's 5-limit JI virt. ET, \"scintilla of Artusi\" tempered 22-08-98"},"schulter_17":{"frequencies":[261.6255653006,272.43653907335,282.13181390574,295.15344695336,308.77608605158,319.09647917983,332.97799220076,348.34640884647,361.82138782225,375.64984936577,392.98775403209,410.26687922759,423.79017189188,443.34998408798,463.81254988138,480.53289366295,500.16624277499,523.2511306012],"description":"Neo-Gothic well-temperament (14:11, 9:7 hypermeantone fifths) TL 04-09-2000"},"schulter_24":{"frequencies":[261.6255653006,270.06509966514,283.8170195002,292.97240722602,295.75063903546,305.22982618403,307.79478270659,317.68818643644,334.29933343966,345.08318290545,348.06842720833,359.29644098925,377.90359432309,390.09403284964,393.30161007617,406.07983174306,426.86276443782,440.63253103259,444.76346101102,458.66231916761,462.87600014722,477.80748402293,502.32108537715,518.89070451286,523.2511306012],"description":"Rational intonation (RI) scale with some \"17-ish\" features (24 notes)"},"schulter_cart34":{"frequencies":[261.6255653006,270.08718526646,272.51337835337,281.3271372098,283.85429714132,293.03484945212,295.66718139806,305.22982618403,307.97166902637,317.93223698752,320.78822215662,331.16330924834,334.13814720468,344.94500399825,348.04364484358,359.30023993517,362.52783176564,374.2528814026,377.61479489998,389.82779436071,393.32961502355,406.05087076101,409.69842558521,422.94908927295,426.7484383229,440.55054172958,444.50800708553,458.88449901367,463.0066556268,477.98143975034,482.27514684959,497.87312179111,502.34551296122,518.59261334435,523.2511306012],"description":"\"Carthesian tuning\" with two 17-tET chains 55.106 cents apart"},"schulter_diat7":{"frequencies":[261.6255653006,295.1673044417,332.97799220076,348.83408706747,392.4383479509,442.75095666255,499.46698830115,523.2511306012],"description":"Diatonic scale, symmetrical tetrachords based on 14/11 and 13/11 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Bb-Bb"},"schulter_jot17bb":{"frequencies":[261.6255653006,271.31540105247,281.75060878526,295.15228855401,305.22982618403,318.50068819203,332.97799220076,348.83408706747,361.75386806997,375.66747838035,392.4383479509,406.97310157871,422.62591317789,442.72843283101,457.84473927605,477.75103228805,499.46698830115,523.2511306012],"description":"\"Just Octachord Tuning\" (Bb-Eb, F-Bb) -- 896:891 divided into 1792:1787:1782"},"schulter_jwt17":{"frequencies":[261.6255653006,272.43653907335,282.34838235411,295.1673044417,308.34441624714,319.76457981184,332.97799220076,347.8430811383,362.25078272391,376.08675011961,393.55640592227,409.81906732402,425.14154361347,443.97065626768,462.87600014722,481.6288815761,500.8899711738,523.2511306012],"description":"\"Just well-tuned 17\" circulating system"},"schulter_lin76-34":{"frequencies":[261.6255653006,270.6250663876,281.88470155261,291.58108453077,295.07956188513,305.22982618403,308.89206602106,319.51745915009,332.81131277165,344.25948974019,348.39001840879,360.3740779397,375.36781334896,388.27986588625,392.93856423817,406.45502016129,423.36600317146,437.92911415628,443.18352164838,458.42832346067,463.9286840578,479.88708893184,499.85328649772,517.04744024951,523.2511306012],"description":"Two 12-note chains, ~704.160 cents, 34 4ths apart (32 4ths = 7:6), TL 29-11-02"},"schulter_pel":{"frequencies":[261.6255653006,271.31540105247,305.22982618403,392.4383479509,406.97310157871,523.2511306012],"description":"Just pelog-style Phrygian 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7:6"},"schulter_qcm62a":{"frequencies":[261.6255653006,262.43934012943,267.90457886781,268.73788454005,273.37431312998,274.22463192287,279.93529690293,280.80602334765,285.65065877038,286.53916259713,292.50627485027,293.41610276971,299.52642572255,300.45808951291,305.64177427204,306.59245933664,312.977175335,313.95067836072,320.36052345918,320.48862783822,327.03195662575,328.04917632434,334.88072358477,335.92235492515,341.71789064962,342.78078913836,349.91912034749,351.00752840096,358.31717956585,359.43170941363,365.63284274659,366.77012764335,374.40803131735,375.5726110527,382.05221698715,383.2405741708,391.22147055517,392.4383479509,400.61078621746,401.85686830172,408.78994578219,410.06146948999,418.60090448096,419.90294514449,427.14736482575,428.47598794138,437.39890198442,438.75941205608,447.89647345742,449.28963835923,457.04105241293,458.46266117889,468.01003810189,469.46576276783,479.24227945773,480.73294151703,489.02683710225,490.54793493862,500.76348165392,502.32108537715,510.98743222773,512.57683571821,523.2511306012],"description":"1/4-comma meantone, two 31-notes at 1/4-comma (Vicentino-like system)"},"schulter_qcmlji24":{"frequencies":[261.6255653006,262.43934012943,273.37431312998,274.22463192287,292.50627485027,293.41610276971,306.59245933664,312.977175335,327.03195662575,328.04917632434,349.91912034749,351.00752840096,365.63284274659,366.77012764335,391.22147055517,392.4383479509,408.78994578219,410.06146948999,437.39890198442,438.75941205608,458.46266117889,468.01003810189,489.02683710225,490.54793493862,523.2511306012],"description":"24-note adaptive JI (Eb-G#/F'-A#') for Lasso's Prologue to _Prophetiae_"},"schulter_qcmqd8_4":{"frequencies":[261.6255653006,273.37431312998,292.50627485027,309.28772967674,327.03195662575,349.91912034749,365.63284274659,391.22147055517,411.22091428214,437.39890198442,465.24335632603,489.02683710225,523.2511306012],"description":"F-C# in 1/4-comma meantone, other 5ths ~4.888 cents wide or (2048/2025)^(1/4)"},"schulter_sq":{"frequencies":[261.6255653006,271.31540105247,279.38237857051,289.72987407313,294.32876096318,305.22982618403,310.07474405997,325.94610833227,331.11985608357,343.38355445704,348.83408706747,361.75386806997,372.50983809402,386.30649876417,392.4383479509,406.97310157871,419.07356785577,434.59481110969,441.49314144476,457.84473927605,465.11211608996,488.9191624984,496.67978412536,515.07533168556,523.2511306012],"description":"\"Sesquisexta\" tuning, two 12-tone Pyth. manuals a 7/6 apart. TL 16-5-2001"},"schulter_tedorian":{"frequencies":[261.6255653006,295.99553712036,309.28772789022,347.85054122562,393.54796334264,442.61656607198,462.49302735707,523.2511306012],"description":"Eb Dorian in temperament extraordinaire -- neo-medieval style"},"schulter_zarte84":{"frequencies":[261.6255653006,272.52663052146,292.24684137387,308.87634556583,326.45210604021,350.07440004945,364.66083404534,391.04793957621,410.30971075781,436.81711699543,465.03699205118,487.94322738789,523.2511306012],"description":"Temperament extraordinaire, Zarlino's 2/7-comma meantone (F-C#)"},"schulter_zarte84n":{"frequencies":[261.6255653006,272.46997760396,292.1447183254,308.81896225817,326.44489157977,350.01709816983,364.52535053201,391.11195868293,410.09013064752,436.73596474349,465.11312402839,488.01232708701,523.2511306012],"description":"Zarlino temperament extraordinaire, 1024-tET mapping"},"scotbag":{"frequencies":[261.6255653006,290.69507255622,327.03195662575,356.76213450082,387.59343007496,436.04260883433,479.64686971777,523.2511306012],"description":"Scottish bagpipe tuning"},"scotbag2":{"frequencies":[261.6255653006,290.69507255622,319.76457981184,348.83408706747,392.4383479509,428.11456140098,470.92601754108,523.2511306012],"description":"Scottish bagpipe tuning 2"},"scotbag3":{"frequencies":[261.6255653006,294.32876096318,327.03195662575,359.73515228832,392.4383479509,441.49314144476,479.64686971777,523.2511306012],"description":"Scottish bagpipe tuning 3"},"scotbag4":{"frequencies":[261.6255653006,293.15632631094,318.58319997217,348.2210758395,392.67530119805,428.21545238314,468.59347232539,523.2511306012],"description":"Scottish Higland Bagpipe by Macdonald, Edinburgh. 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TL 20-04-99"},"scottj2":{"frequencies":[261.6255653006,290.69507255622,299.00064605783,305.22982618403,313.95067836072,348.83408706747,366.27579142084,406.97310157871,418.60090448096,428.11456140098,436.04260883433,485.87604984397,523.2511306012,566.85539148463,581.39014511244,598.00129211566,610.45965236807,680.22646978156,719.47030457665,784.8766959018],"description":"Jeff Scott's \"just tritone/13\" tuning. TL 17-03-2001"},"secor12_1":{"frequencies":[261.6255653006,275.03488264166,292.74290192225,310.07362690431,327.56128791316,349.21167447253,366.91716522699,391.37968062521,412.76363757129,437.92977184699,465.61556619611,490.01645577464,523.2511306012],"description":"George Secor's 12-tone temperament ordinaire #1, proportional beating"},"secor12_2":{"frequencies":[261.6255653006,275.62199471997,292.79557634972,310.07474405997,327.35540669465,348.83408706747,367.49599295996,391.60840570078,413.43299207996,437.83150862942,465.11211608996,489.99465727995,523.2511306012],"description":"George Secor's closed 12-tone well-temperament #2, with 7 just fifths"},"secor12_3":{"frequencies":[261.6255653006,274.49585366342,292.50627485027,309.76836826904,327.03195662575,349.57337698802,365.99447173417,391.22147055517,411.74378028931,437.39890198442,466.09783352473,489.02683710225,523.2511306012],"description":"George Secor's closed 12-tone temperament #3 with 5 meantone, 3 just, and 2 wide fifths"},"secor17htt1":{"frequencies":[261.6255653006,266.21235100401,283.6936382117,294.88137067808,304.94368688875,319.75456524059,327.03195662575,348.50707605838,360.3992766165,372.69727792826,392.80658053205,399.69321489333,425.93975025566,435.63385416574,457.84473927605,480.08189580921,491.0082387498,523.2511306012],"description":"George Secor's 17-tone high-tolerance temperament subset #1 on C (5/4 & 7/4 exact)"},"secor17htt2":{"frequencies":[261.6255653006,266.21235100401,279.78524030783,294.88137067808,300.05119287674,319.75456524059,327.03195662575,348.50707605838,360.3992766165,372.69727792826,392.80658053205,399.69321489333,425.93975025566,442.73709545768,457.84473927605,480.08189580921,491.0082387498,523.2511306012],"description":"George Secor's 17-tone high-tolerance temperament subset #2 on Eo (5/4 & 7/4 exact)"},"secor17htt3":{"frequencies":[261.6255653006,270.55308473255,279.78524030783,294.88137067808,300.05119287674,319.75456524059,327.03195662575,343.70575469589,360.3992766165,368.60172104124,392.80658053205,399.69321489333,425.93975025566,442.73709545768,457.84473927605,480.08189580921,491.0082387498,523.2511306012],"description":"George Secor's 17-tone high-tolerance temperament subset #3 on G (5/4 & 7/4 exact)"},"secor17htt4":{"frequencies":[261.6255653006,270.55308473255,279.78524030783,294.88137067808,300.05119287674,319.75456524059,332.36439517321,343.70575469589,360.3992766165,368.60172104124,392.80658053205,399.69321489333,420.07165483694,442.73709545768,450.49910517366,480.08189580921,491.0082387498,523.2511306012],"description":"George Secor's 17-tone high-tolerance temperament subset #4 on Bo (5/4 & 7/4 exact)"},"secor17wt":{"frequencies":[261.6255653006,271.90848849519,284.45827635845,296.12458543709,307.25838681362,320.91221742866,335.17278980765,347.77473997341,362.0378075073,378.74746489181,393.63374363584,408.43373030454,427.2847686483,445.53990619223,462.29147990415,482.0422296857,504.29062567056,523.2511306012],"description":"George Secor's well temperament with 5 pure 11/7 and 3 near just 11/6"},"secor19wt":{"frequencies":[261.6255653006,272.32755795875,282.27948808054,292.18583194851,304.13791554835,314.37102040472,326.31582004031,339.6640167515,350.11094753355,364.43250202589,378.27942889874,391.0071187494,407.00156221801,421.24111755476,436.68033801788,454.54308187078,469.17957429271,487.6886112017,506.92782577841,523.2511306012],"description":"George Secor's 19-tone well temperament with ten 5/17-comma fifths"},"secor19wt1":{"frequencies":[261.6255653006,272.32845615788,282.22605479514,292.18610873661,304.13920677667,314.3856167727,326.31643450984,339.6657766488,350.11078170334,364.43353349925,378.23315721313,391.00730395019,407.00309738029,421.33223555387,436.68095599763,454.54522431957,469.16941157468,487.689760539,506.89867708289,523.2511306012],"description":"George Secor's 19-tone proportional-beating (5/17-comma) well temperament (v.1)"},"secor19wt2":{"frequencies":[261.6255653006,272.32845615788,282.22605479514,292.18610873661,304.13920677667,314.27577204952,326.31643450984,339.6657766488,350.11078170334,364.43353349925,378.23315721313,391.00730395019,407.00309738029,421.20165315727,436.68095599763,454.54522431957,469.03541436973,487.689760539,506.89867708289,523.2511306012],"description":"George Secor's 19-tone proportional-beating (5/17-comma) well temperament (v.2)"},"secor1_4tx":{"frequencies":[261.6255653006,274.52656755164,292.65557420835,309.65910769439,327.20096538886,349.14957009195,366.50113643833,391.42429537222,412.04336447213,437.62002395673,465.5327601226,489.58458498887,523.2511306012],"description":"George Secor's rational 1/4-comma temperament extraordinaire"},"secor1_5tx":{"frequencies":[261.6255653006,275.23833828784,292.86443876933,310.12174699459,327.84546895566,349.26796031009,366.98445105045,391.462133155,412.85750743176,438.21197504744,465.69061374678,490.54793493862,523.2511306012],"description":"George Secor's 1/5-comma temperament extraordinaire (ratios supplied by G. W. Smith)"},"secor1_5wt":{"frequencies":[261.6255653006,275.62199471997,292.86443876933,310.07474405997,327.84546895566,348.83408706747,367.44664657419,391.462133155,413.43299207996,438.21197504744,465.11211608996,490.54793493862,523.2511306012],"description":"George Secor's 1/5-comma well-temperament (ratios supplied by G. W. Smith)"},"secor1_7wt":{"frequencies":[261.6255653006,276.40791719395,293.28186156416,310.6264877857,328.77715667764,349.45479875891,368.54388959194,391.74026793015,414.61187579093,439.14616729155,465.93973167855,492.29203182992,523.2511306012],"description":"George Secor's 1/7-comma well-temperament (ratios supplied by G. W. Smith)"},"secor22_19p3":{"frequencies":[261.6255653006,266.86058412305,272.32845615788,282.28026746552,292.18610873661,304.13920677667,314.37137994881,326.31643450984,339.6657766488,350.11078170334,357.11635499175,364.43353349925,378.28077924825,391.00730395019,407.00309738029,421.28573964817,436.68095599763,454.54522431957,469.17973147781,477.89781576412,487.689760539,506.93004530576,523.2511306012],"description":"George Secor's 19+3 well temperament with ten ~5/17-comma (equal-beating) fifths and 3 pure 9:11. TL 28-6-2002,26-10-2006. Aux=1,10,19"},"secor22_ji29":{"frequencies":[261.6255653006,272.52663052146,283.42769574232,286.15296204753,294.32876096318,305.22982618403,316.13089140489,327.03195662575,340.65828815182,348.83408706747,359.73515228832,370.63621750918,381.53728273004,392.4383479509,414.24047839262,425.14154361347,436.04260883433,441.49314144476,457.84473927605,479.64686971777,490.54793493862,501.44900015948,523.2511306012],"description":"George Secor's 22-tone just intonation (29-limit otonality on 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(1979)"},"secor_vrwt":{"frequencies":[261.6255653006,276.32932769153,293.15777167588,310.55777256823,328.11844153148,349.04269216937,368.62018440632,392.00375398861,414.25255044712,438.65017260809,465.6191423793,491.6947801169,523.2511306012],"description":"George Secor's Victorian rational well-temperament (based on Ellis #2)"},"secor_wt1-7":{"frequencies":[261.6255653006,276.2204353545,293.2843722634,310.74798946314,328.77415062671,349.45463702831,368.55847674989,391.74146894101,414.33065282463,439.14535139523,466.13275379077,492.28548658217,523.2511306012],"description":"George Secor's 1/7-comma well-temperament"},"secor_wt10":{"frequencies":[261.6255653006,276.4188590209,293.2843722634,310.62634254146,328.77415062671,349.45463500978,368.55847887877,391.7414712038,414.6282883241,439.14535393183,465.93951357928,492.28548942572,523.2511306012],"description":"George Secor's 12-tone well-temperament, proportional 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Symmetry, scale for Passacaglia and Fugue State (2005)"},"seikilos":{"frequencies":[261.6255653006,271.31540105247,294.32876096318,305.22982618403,336.37572681506,348.83408706747,356.10146388137,392.4383479509,406.97310157871,441.49314144476,457.84473927605,504.56359022259,523.2511306012],"description":"Seikilos Tuning"},"sekati1":{"frequencies":[261.6255653006,285.2147362526,318.99014578736,340.97107458785,383.86043226246,424.60539155549,468.56721805116,523.2511306012],"description":"Gamelan sekati from Sumenep, East-Madura. 1/1=244 Hz."},"sekati2":{"frequencies":[261.6255653006,288.87830434024,317.34219433319,357.31261688157,393.64955765984,420.29657220667,469.35141988267,523.2511306012],"description":"Gamelan Kyahi Sepuh from kraton Solo. 1/1=216 Hz."},"sekati3":{"frequencies":[261.6255653006,291.90272733088,308.20569577938,369.53649673407,403.69531865382,425.43272843735,475.11832680028,523.2511306012],"description":"Gamelan Kyahi Henem from kraton Solo. 1/1=168.5 Hz."},"sekati4":{"frequencies":[261.6255653006,271.36353278789,288.89182053123,342.12578909252,379.12979967788,410.29128883625,439.50493264224,523.2511306012],"description":"Gamelan Kyahi Guntur madu from kraton Jogya. 1/1=201.5 Hz."},"sekati5":{"frequencies":[261.6255653006,274.79663866182,311.31645994273,355.61927540077,375.97459751383,397.52718524897,433.44837981883,523.2511306012],"description":"Gamelan Kyahi Naga Ilaga from kraton Jogya. 1/1=218.5 Hz."},"sekati6":{"frequencies":[261.6255653006,284.57524936299,310.80330758934,358.01400474517,390.79902205709,427.51850178351,468.18764285778,523.2511306012],"description":"Gamelan Kyahi Munggang from Paku Alaman, Jogya. 1/1=199.5 Hz."},"sekati7":{"frequencies":[261.6255653006,286.67481979642,318.21831168293,371.10013445627,390.58282835584,422.12643845206,463.87524473877,523.2511306012],"description":"Gamelan of Sultan Anom from Cheribon. 1/1=282 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McPhee, 1966"},"semipor1":{"frequencies":[261.6255653006,290.69507255622,313.95067836072,327.03195662575,353.19451315581,392.4383479509,436.04260883433,470.92601754108,523.2511306012],"description":"First 16/15&250/243 = 648/625&250/243 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9-4-2006"},"shahin_wt":{"frequencies":[261.6255653006,276.93928561067,294.25491037444,311.47852302926,329.62755691287,348.92163548373,370.73795561568,392.4383479509,415.30469757995,439.61371330969,467.10055427519,494.44133512215,523.2511306012],"description":"Mohajeri Shahin, well temperament, TL 28-12-2006"},"shalfun":{"frequencies":[261.6255653006,269.43930514995,277.46904793785,285.74220762407,294.32876096318,302.80736724606,311.45900631024,320.30554027987,329.50323085718,338.98103822311,348.83408706747,359.12912189513,369.78878487717,380.87868001252,392.4383479509,404.24222079821,416.2697936366,428.68354137408,441.49314144476,454.4477424016,467.68960547122,481.19471271032,494.94053216156,508.90014647073,523.2511306012],"description":"d'Erlanger vol.5, p.40. After Alexandre ^Salfun (Chalfoun)"},"sharm1c-conm":{"frequencies":[261.6255653006,305.22982618403,318.50068819203,332.97799220076,406.97310157871,430.91269578922,457.84473927605,523.2511306012],"description":"Subharm1C-ConMixolydian"},"sharm1c-conp":{"frequencies":[261.6255653006,313.95067836072,330.47439827444,348.83408706747,418.60090448096,448.50096908674,483.00104363188,523.2511306012],"description":"Subharm1C-ConPhryg"},"sharm1c-dor":{"frequencies":[261.6255653006,319.76457981184,338.57426097725,359.73515228832,383.71749577421,411.12588832951,479.64686971777,547.03527290125,523.2511306012],"description":"Subharm1C-Dorian"},"sharm1c-lyd":{"frequencies":[261.6255653006,309.19384990071,323.91736656265,340.11323489078,382.37582620857,377.90359432309,485.87604984397,503.87145909745,523.2511306012],"description":"Subharm1C-Lydian"},"sharm1c-mix":{"frequencies":[261.6255653006,305.22982618403,318.50068819203,332.97799220076,366.27579142084,457.84473927605,488.36772189445,523.2511306012],"description":"Subharm1C-Mixolydian"},"sharm1c-phr":{"frequencies":[261.6255653006,313.95067836072,330.47439827444,348.83408706747,392.4383479509,483.00104363188,502.32108537715,523.2511306012],"description":"Subharm1C-Phrygian"},"sharm1e-conm":{"frequencies":[261.6255653006,318.50068819203,325.57848126297,332.97799220076,430.91269578922,443.97065626768,457.84473927605,523.2511306012],"description":"Subharm1E-ConMixolydian"},"sharm1e-conp":{"frequencies":[261.6255653006,330.47439827444,339.40613876835,348.83408706747,448.50096908674,465.11211608996,483.00104363188,523.2511306012],"description":"Subharm1E-ConPhrygian"},"sharm1e-dor":{"frequencies":[261.6255653006,338.57426097725,348.83408706747,359.73515228832,383.71749577421,411.12588832951,500.50108144463,511.62332769895,523.2511306012],"description":"Subharm1E-Dorian"},"sharm1e-lyd":{"frequencies":[261.6255653006,323.91736656265,331.81779013735,340.11323489078,382.37582620857,377.90359432309,503.87145909745,513.37846775967,523.2511306012],"description":"Subharm1E-Lydian"},"sharm1e-mix":{"frequencies":[261.6255653006,318.50068819203,325.57848126297,332.97799220076,366.27579142084,488.36772189445,505.20798816668,523.2511306012],"description":"Subharm1E-Mixolydian"},"sharm1e-phr":{"frequencies":[261.6255653006,330.47439827444,339.40613876835,348.83408706747,392.4383479509,502.32108537715,512.57253609913,523.2511306012],"description":"Subharm1E-Phrygian"},"sharm2c-15":{"frequencies":[261.6255653006,327.03195662575,341.25073734861,356.76213450082,392.4383479509,461.69217405988,490.54793493862,523.2511306012],"description":"Subharm2C-15-Harmonia"},"sharm2c-hypod":{"frequencies":[261.6255653006,322.00069575458,334.88072358477,348.83408706747,364.00078650518,380.54627680087,465.11211608996,492.47165233054,523.2511306012],"description":"SHarm2C-Hypodorian"},"sharm2c-hypol":{"frequencies":[261.6255653006,307.79478270659,327.03195662575,348.83408706747,373.75080757229,402.50086969323,475.68284600109,498.33441009638,523.2511306012],"description":"SHarm2C-Hypolydian"},"sharm2c-hypop":{"frequencies":[261.6255653006,336.37572681506,348.83408706747,362.25078272391,376.74081403286,392.4383479509,470.92601754108,495.71159741166,523.2511306012],"description":"SHarm2C-Hypophrygian"},"sharm2e-15":{"frequencies":[261.6255653006,341.25073734861,348.83408706747,356.76213450082,392.4383479509,490.54793493862,506.37206187213,523.2511306012],"description":"Subharm2E-15-Harmonia"},"sharm2e-hypod":{"frequencies":[261.6255653006,334.88072358477,341.71502406609,348.83408706747,364.00078650518,380.54627680087,492.47165233054,507.3950357345,523.2511306012],"description":"SHarm2E-Hypodorian"},"sharm2e-hypol":{"frequencies":[261.6255653006,327.03195662575,337.58137458142,348.83408706747,373.75080757229,402.50086969323,498.33441009638,510.48890790361,523.2511306012],"description":"SHarm2E-Hypolydian"},"sharm2e-hypop":{"frequencies":[261.6255653006,348.83408706747,355.41586229515,362.25078272391,376.74081403286,392.4383479509,495.71159741166,509.10920815252,523.2511306012],"description":"SHarm2E-Hypophrygian"},"sherwood":{"frequencies":[261.6255653006,279.50101530337,292.73346657716,312.73435005323,327.54017122074,349.91920725962,366.48547573919,391.52543233055,418.27599117656,438.07873640926,468.01000025525,490.16733894289,523.65750116998],"description":"Sherwood's improved meantone temperament"},"shrutar":{"frequencies":[261.6255653006,269.80136421624,277.49581689502,285.40970760065,294.32876096318,304.37698984459,313.95067836072,327.03195662575,336.37572681506,348.83408706747,359.73515228832,368.95121675679,379.48299988042,392.4383479509,405.83598431812,417.42065019394,428.11456140098,441.49314144476,457.84473927605,470.92601754108,490.54793493862,505.97733342682,523.2511306012],"description":"Paul Erlich's Shrutar tuning (from 9th fret) tempered with Dave Keenan"},"shrutar_temp":{"frequencies":[261.6255653006,269.67683152447,277.97586744827,286.53029793775,295.34798250635,304.4370214407,313.80576690868,327.74897996102,337.83512841993,348.23166805304,358.94815083964,369.99442271164,381.38063259971,393.11724175776,405.21503337437,417.68512248001,430.53896367224,443.78837151315,463.50705251482,477.77102045752,492.47394780842,507.62934310616,523.2511306012],"description":"Shrutar temperament, 11-limit, g=52.474, 1/2 oct."},"shrutart":{"frequencies":[261.6255653006,269.83675183105,278.27349931787,286.14641333958,294.32706056425,305.2349557921,313.94319125793,327.02936607233,337.2932679302,348.82502010853,358.79758764604,369.99442271164,381.540672377,392.44854854484,405.86600994967,418.6042204156,436.0530078362,448.49343183014,465.11480315564,478.41198231361,491.94721442498,507.32849364948,523.2511306012],"description":"Paul Erlich's 'Shrutar' tuning tempered by Dave Keenan, TL 29-12-2000"},"siamese":{"frequencies":[261.6255653006,269.26067151764,288.95340229325,296.22023396764,319.13574119147,352.26720984209,362.5475414329,388.79334481031,400.18585940536,429.40436513853,443.77760270734,473.98350631811,523.2511306012],"description":"Siamese Tuning, after Clem Fortuna's Microtonal Guide"},"silbermann1":{"frequencies":[261.6255653006,275.15551885617,293.66476791741,312.53552595124,327.77163799145,349.82028288879,367.9112241576,391.99543598175,411.56972129721,438.75957425603,467.74568907204,491.10256480205,523.2511306012],"description":"Gottfried Silbermann's temperament nr. 1"},"silbermann2":{"frequencies":[261.6255653006,275.00020270933,293.00227310437,312.18279369479,328.14198392915,349.6228209638,367.49599295996,391.5530240856,411.56972129721,438.51190905657,467.21778431035,491.10256480205,523.2511306012],"description":"Gottfried Silbermann's temperament nr. 2, 1/6 Pyth. comma meantone"},"silbermann2a":{"frequencies":[261.6255653006,275.00020270933,293.00227310437,310.77584116741,328.14198392915,349.6228209638,367.49599295996,391.5530240856,411.56972129721,438.51190905657,467.21778431035,491.10256480205,523.2511306012],"description":"Modified Silbermann's temperament nr. 2, also used by Hinsz in Midwolda"},"silver":{"frequencies":[261.6255653006,277.18807786937,293.58315284916,311.09098010692,329.53543886896,349.23174545031,369.98176232374,391.84186131702,415.18563115404,439.77824302677,466.03998256716,493.70667148145,523.2511306012],"description":"Equal beating chromatic scale, A.L.Leigh Silver JASA 29/4, 476-481, 1957"},"silver_10":{"frequencies":[261.6255653006,270.26884019355,294.27266239927,320.41022551991,330.99364634362,360.39280035711,392.40094712608,405.36462386145,441.36692569059,480.56953386201,523.2511306012],"description":"Ten-tone MOS from 350.9 cents"},"silver_11":{"frequencies":[261.6255653006,277.73657748574,294.83971256733,315.81001885226,335.25773244276,355.90304440354,381.21644531515,404.69191411574,429.61301214396,460.16899244324,488.50639225338,523.2511306012],"description":"Eleven-tone MOS from 1+sqr(2), 1525.864 cents"},"silver_11a":{"frequencies":[261.6255653006,272.21316796874,283.22923537857,314.22802528801,326.94437231289,340.17533123945,377.40674067136,392.67983758722,408.5710143206,453.28817432381,471.63208149661,523.2511306012],"description":"Eleven-tone MOS from 317.17 cents"},"silver_11b":{"frequencies":[261.6255653006,281.48899567641,302.85877036442,316.87090334834,340.92873240472,366.81310701257,383.78194911277,412.91987382947,444.27004083312,464.82473992747,500.11279777071,523.2511306012],"description":"Eleven-tone MOS from 331.67 cents"},"silver_7":{"frequencies":[261.6255653006,277.73649727228,315.81000061035,335.2576162513,381.21640127531,404.69175048432,460.16888612163,523.2511306012],"description":"Seven-tone MOS from 1+sqr(2), 1525.864 cents"},"silver_8":{"frequencies":[261.6255653006,288.49477506296,306.46277751246,337.93681424842,358.98416079003,395.852196628,420.50662316693,492.57276348379,523.2511306012],"description":"Eight-tone MOS from 273.85 cents"},"silver_9":{"frequencies":[261.6255653006,294.18258755347,307.6617709921,345.94759796409,361.79860795042,406.82129262791,425.46148093979,478.40645551359,500.32661205896,523.2511306012],"description":"Nine-tone MOS from 280.61 cents"},"silvermean":{"frequencies":[261.6255653006,286.15296204753,327.03195662575,345.42750418595,392.4383479509,416.96574469783,474.19633710734,523.2511306012],"description":"First 6 approximants to the Silver Mean, 1+ sqr(2) reduced by 2/1"},"simonton":{"frequencies":[261.6255653006,277.97716313189,294.32876096318,310.68035879446,327.03195662575,348.83408706747,370.63621750918,392.4383479509,414.24047839262,436.04260883433,465.11211608996,494.18162334558,523.2511306012],"description":"Simonton Integral Ratio Scale, JASA 25/6 (1953): A new integral ratio scale"},"sims":{"frequencies":[261.6255653006,272.52663052146,283.42769574232,294.32876096318,305.22982618403,316.13089140489,327.03195662575,343.38355445704,359.73515228832,376.08675011961,392.4383479509,408.78994578219,425.14154361347,441.49314144476,457.84473927605,474.19633710734,490.54793493862,506.89953276991,523.2511306012],"description":"Ezra Sims' 18-tone mode"},"sims2":{"frequencies":[261.6255653006,269.80136421624,277.97716313189,286.15296204753,294.32876096318,302.50455987882,310.68035879446,318.85615771011,327.03195662575,343.38355445704,359.73515228832,376.08675011961,392.4383479509,408.78994578219,425.14154361347,441.49314144476,457.84473927605,474.19633710734,490.54793493862,506.89953276991,523.2511306012],"description":"Sims II"},"sims_24":{"frequencies":[261.6255653006,269.80136421624,272.52663052146,277.97716313189,283.42769574232,286.15296204753,294.32876096318,302.50455987882,305.22982618403,310.68035879446,316.13089140489,318.85615771011,327.03195662575,343.38355445704,359.73515228832,376.08675011961,392.4383479509,408.78994578219,425.14154361347,441.49314144476,457.84473927605,474.19633710734,490.54793493862,506.89953276991,523.2511306012],"description":"See his article, Reflections on This and That, 1991 p.93-106"},"sin":{"frequencies":[261.6255653006,275.08939827539,302.09917071192,334.63165645627,369.99442271164,407.01712569342,445.10399729103,483.9175316883,523.2511306012,562.97086325858,602.98541169118,643.23087116255,683.66056756853,724.23972686276,764.94197926416,805.74682982871,846.63811574624,887.6028851904,928.63083777952,969.71346974542,1010.84345850104,1052.01529432917],"description":"1/sin(2pi/n), n=4..25"},"sinemod12":{"frequencies":[261.6255653006,270.6035983646,282.0485507085,292.16840832754,301.82804372114,314.42520179993,326.24260278214,336.76433478807,350.4641458176,364.21811789193,375.86233664064,390.61306119732,406.50371126161,419.61372202861,435.38454314112,453.55584308858,468.551249676,485.36279478778,505.89080731022,523.2511306012],"description":"Sine modulated F=12, A=-.08203754"},"sinemod8":{"frequencies":[261.6255653006,272.43905323978,281.98404270447,290.99567087708,301.68076007415,314.40050256998,326.99158834066,337.97331861211,348.96407538813,362.38276875396,377.76595534172,392.29216556304,405.04934945717,418.6525822649,435.418746849,453.77727371169,470.43955130022,485.47382867757,502.48255971303,523.2511306012],"description":"Sine modulated F=8, A=.11364155. Deviation minimal3/2, 4/3, 5/4, 6/5, 5/3, 8/5"},"singapore":{"frequencies":[261.6255653006,291.46787011619,321.35550581422,354.51258839996,385.70651737906,428.95813651779,462.1422075194,523.2511306012],"description":"An observed xylophone tuning from Singapore"},"sintemp6":{"frequencies":[261.6255653006,277.18263097687,292.42974339757,312.08834713741,327.870830746,349.91196330865,369.15973155124,391.11111150212,416.11779639122,437.6550518996,467.60417912673,491.80624587316,523.2511306012],"description":"Sine modulated fifths, A=1/6 Pyth, one cycle, f0=-90 degrees"},"sintemp6a":{"frequencies":[261.6255653006,276.17281343288,293.21211353711,310.64741311165,328.42667470471,349.22823143301,368.43838932195,391.77416758435,414.19655102258,438.82595961933,465.90062756558,491.80624587316,523.2511306012],"description":"Sine modulated fifths, A=1/12 Pyth, one cycle, f0= D-A"},"sintemp_19":{"frequencies":[261.6255653006,272.86445838226,281.30973389888,292.50627485027,304.14845459111,313.56198179795,327.03195662575,338.65502209741,350.02113164026,365.30494475029,376.98581738134,391.19763056219,407.47965586966,419.94695489748,437.42555500456,453.91586039553,468.43012697388,488.88431353627,505.29249383438,523.2511306012],"description":"Sine modulated thirds, A=7.366 cents, one cycle over fifths, f0=90 degrees"},"sintemp_7":{"frequencies":[261.6255653006,291.06608881088,319.67397341855,351.09362859375,390.60192440975,432.07134328681,473.03044489876,523.2511306012],"description":"Sine modulated fifths, A=8.12 cents, one cycle, f0=90 degrees"},"slen_pel":{"frequencies":[261.6255653006,261.6255653006,283.17034563789,298.45295203849,338.50336851425,364.68988616898,346.01554587335,389.06292924114,398.38689497567,420.13030572059,455.51656649021,493.31307433255,523.2511306012],"description":"Pelog white, Slendro black"},"slen_pel16":{"frequencies":[261.6255653006,261.6255653006,285.30470202322,285.30470202322,297.93622032612,311.12698372208,339.28638158975,386.37547528213,386.37547528213,403.48177901006,421.34544350737,440,523.2511306012],"description":"16-tET Slendro and Pelog"},"slen_pel23":{"frequencies":[261.6255653006,261.6255653006,295.14355885465,295.14355885465,286.38154466424,343.14246862785,313.47984535337,398.94762483098,398.94762483098,387.10394860926,450.05828708186,423.73315704439,523.2511306012],"description":"23-tET Slendro and Pelog"},"slen_pel_jc":{"frequencies":[261.6255653006,261.6255653006,299.00064605783,299.00064605783,279.06726965397,341.71502406609,348.83408706747,392.4383479509,392.4383479509,392.4383479509,448.50096908674,418.60090448096,523.2511306012],"description":"Slendro/JC PELOG S1c,P1c#,S2d,eb,P2e,S3f,P3f#,S4g,ab,P4a,S5bb,P5b"},"slen_pel_schmidt":{"frequencies":[261.6255653006,261.6255653006,294.32876096318,305.22982618403,327.03195662575,348.83408706747,359.73515228832,392.4383479509,392.4383479509,457.84473927605,457.84473927605,490.54793493862,523.2511306012],"description":"Dan Schmidt (Pelog white, Slendro black)"},"slendro":{"frequencies":[261.6255653006,298.45295203849,346.01554587335,398.38689497567,455.51656649021,523.2511306012],"description":"Observed Javanese Slendro scale, Helmholtz/Ellis p. 518, nr.94"},"slendro10":{"frequencies":[261.6255653006,304.21577360535,342.24274530602,391.67780832635,463.92905474816,523.2511306012],"description":"Low gender from Singaraja (banjar Lod Peken), Bali. 1/1=172 Hz. McPhee, 1966."},"slendro11":{"frequencies":[261.6255653006,299.11221417218,343.62760815601,387.36203100102,452.96366529656,523.2511306012],"description":"Low gender from Sawan, Bali. 1/1=167.5 Hz. McPhee, 1966."},"slendro2":{"frequencies":[261.6255653006,299.13295468097,343.58614396263,395.91119354826,450.08870388136,523.2511306012],"description":"Gamelan slendro from Ranchaiyuh, distr. Tanggerang, Batavia. 1/1=282.5 Hz"},"slendro3":{"frequencies":[261.6255653006,298.44694115772,339.14425131559,391.46936437571,453.48431318771,522.28214737536],"description":"Gamelan kodok ngorek. 1/1=270 Hz"},"slendro4":{"frequencies":[261.6255653006,294.5074669504,344.54514337401,400.3014113889,467.49486258632,523.2511306012],"description":"Low gender in saih lima from Kuta, Bali. 1/1=183 Hz. McPhee, 1966"},"slendro5_1":{"frequencies":[261.6255653006,299.00064605783,336.37572681506,392.4383479509,448.50096908674,523.2511306012],"description":"A slendro type pentatonic which is based on intervals of 7; from Lou Harrison"},"slendro5_2":{"frequencies":[261.6255653006,305.22982618403,348.83408706747,392.4383479509,457.84473927605,523.2511306012],"description":"A slendro type pentatonic which is based on intervals of 7, no. 2"},"slendro5_4":{"frequencies":[261.6255653006,294.32876096318,348.83408706747,392.4383479509,448.50096908674,523.2511306012],"description":"A slendro type pentatonic which is based on intervals of 7, no. 4"},"slendro6":{"frequencies":[261.6255653006,295.05549864457,341.56671025356,398.25224940202,461.478427683,523.2511306012],"description":"Low gender from Klandis, Bali. 1/1=180 Hz. McPhee, 1966"},"slendro8":{"frequencies":[261.6255653006,309.85821141747,350.78288084997,406.32350365121,467.71050779996,523.2511306012],"description":"Low gender from Tabanan, Bali. 1/1=179 Hz. McPhee, 1966."},"slendro9":{"frequencies":[261.6255653006,299.00064605783,336.37572681506,388.70083987518,448.50096908674,523.2511306012],"description":"Low gender from Singaraja (banjar Panataran), Bali. 1/1=175 Hz. McPhee, 1966."},"slendro_7_1":{"frequencies":[261.6255653006,299.00064605783,341.71502406609,392.4383479509,448.50096908674,523.2511306012],"description":"Septimal Slendro 1, From HMSL Manual, also Lou Harrison, Jacques Dudon"},"slendro_7_2":{"frequencies":[261.6255653006,294.32876096318,343.38355445704,392.4383479509,448.50096908674,523.2511306012],"description":"Septimal Slendro 2, From Lou Harrison, Jacques Dudon's APTOS"},"slendro_7_3":{"frequencies":[261.6255653006,294.32876096318,336.37572681506,392.4383479509,448.50096908674,523.2511306012],"description":"Septimal Slendro 3, Harrison, Dudon, called \"MILLS\" after Mills Gamelan"},"slendro_7_4":{"frequencies":[261.6255653006,294.32876096318,343.38355445704,392.4383479509,457.84473927605,523.2511306012],"description":"Septimal Slendro 4, from Lou Harrison, Jacques Dudon, called \"NAT\""},"slendro_7_5":{"frequencies":[261.6255653006,305.22982618403,343.38355445704,400.61414686654,467.3831713443,523.2511306012],"description":"Septimal Slendro 5, from Jacques Dudon"},"slendro_7_6":{"frequencies":[261.6255653006,299.00064605783,341.71502406609,390.53145607553,455.62003208812,523.2511306012],"description":"Septimal Slendro 6, from Robert Walker"},"slendro_a1":{"frequencies":[261.6255653006,299.00064605783,348.83408706747,392.4383479509,457.84473927605,523.2511306012],"description":"Dudon's Slendro A1, \"Seven-Limit Slendro Mutations\", 1/1 8:2'94 hexany 1.3.7.21"},"slendro_a2":{"frequencies":[261.6255653006,299.00064605783,341.71502406609,398.6675280771,448.50096908674,523.2511306012],"description":"Dudon's Slendro A2 from \"Seven-Limit Slendro Mutations\", 1/1 8:2 Jan 1994"},"slendro_alv":{"frequencies":[261.6255653006,299.00064605783,348.83408706747,406.97310157871,465.11211608996,523.2511306012],"description":"Bill Alves, slendro for Gender Barung, 1/1 vol.9 no.4, 1997. 1/1=282.86"},"slendro_ang":{"frequencies":[261.6255653006,299.00064605783,340.82516392797,388.43396508487,445.83123341082,523.2511306012],"description":"Gamelan Angklung Sangsit, North Bali. 1/1=294 Hz"},"slendro_av":{"frequencies":[261.6255653006,298.97057995496,344.02264297658,395.86362945285,454.20288100724,525.67465946865],"description":"Average of 30 measured slendro gamelans, W. Surjodiningrat et al., 1993."},"slendro_dudon":{"frequencies":[261.6255653006,305.22982618403,348.83408706747,399.70572476481,457.84473927605,523.2511306012],"description":"Dudon's Slendro from \"Fleurs de lumie`re\""},"slendro_gum":{"frequencies":[261.6255653006,305.03156112838,348.43777142572,394.8168394034,470.92601754108,525.62941881859],"description":"Gumbeng, bamboo idiochord from Banyumas. 1/1=440 Hz"},"slendro_ky1":{"frequencies":[261.6255653006,297.58776037991,344.33874539242,394.68595744625,449.52853279627,523.2511306012],"description":"Kyahi Kanyut Me`sem slendro, Mangku Nagaran, Solo. 1/1=291 Hz"},"slendro_ky2":{"frequencies":[261.6255653006,302.42139140287,345.87786599062,395.54249276388,453.1886900261,523.2511306012],"description":"Kyahi Pengawe' sari, Paku Alaman, Jogya. 1/1=295 Hz"},"slendro_laras":{"frequencies":[261.6255653006,299.00064605783,348.83408706747,392.4383479509,448.50096908674,523.2511306012,598.00129211566,697.66817413493],"description":"Lou Harrison, gamelan \"Si Betty\""},"slendro_m":{"frequencies":[261.6255653006,299.00064605783,348.83408706747,392.4383479509,448.50096908674,523.2511306012],"description":"Dudon's Slendro M from \"Seven-Limit Slendro Mutations\", 1/1 8:2 Jan 1994"},"slendro_madu":{"frequencies":[261.6255653006,300.52885648597,345.61604384578,394.49404533893,447.94973572445,522.94897617031],"description":"Sultan's gamelan Madoe kentir, Jogjakarta, Jaap Kunst"},"slendro_mat":{"frequencies":[261.6255653006,261.6255653006,299.00064605783,299.00064605783,341.71502406609,343.38355445704,348.83408706747,392.4383479509,398.6675280771,448.50096908674,455.62003208812,457.84473927605,523.2511306012],"description":"Dudon's Slendro Matrix from \"Seven-Limit Slendro Mutations\", 1/1 8:2 Jan 1994"},"slendro_pa":{"frequencies":[261.6255653006,304.19649364034,353.69443592699,411.24653512154,478.16333951147,523.2511306012],"description":"\"Blown fifth\" primitive slendro, von Hornbostel"},"slendro_pas":{"frequencies":[261.6255653006,300.35531433711,343.03050002254,393.12919962609,450.54468214486,523.2511306012],"description":"Gamelan slendro of regent of Pasoeroean, Jaap Kunst"},"slendro_pb":{"frequencies":[261.6255653006,304.72408298441,342.83241505062,399.30842833955,449.24533531117,523.2511306012],"description":"\"Blown fifth\" medium slendro, von Hornbostel"},"slendro_pc":{"frequencies":[261.6255653006,299.48910562989,342.83241505062,392.44854854484,449.24533531117,523.2511306012],"description":"\"Blown fifth\" modern slendro, von Hornbostel"},"slendro_pliat":{"frequencies":[261.6255653006,299.73468146833,339.98478643783,393.08060743874,447.03290350508,523.2511306012,599.46936293666,679.96957287566,786.16121487749,894.06580701017],"description":"Gender wayang from Pliatan, South Bali (Slendro), 1/1=305.5 Hz"},"slendro_q13":{"frequencies":[261.6255653006,307.00725675226,360.2608752926,400.8015646157,470.32478922042,523.2511306012],"description":"13-tET quasi slendro, Blackwood"},"slendro_s1":{"frequencies":[261.6255653006,299.00064605783,348.83408706747,398.6675280771,457.84473927605,523.2511306012],"description":"Dudon's Slendro S1 from \"Seven-Limit Slendro Mutations\", 1/1 8:2 Jan 1994"},"slendro_s2":{"frequencies":[261.6255653006,299.00064605783,341.71502406609,398.6675280771,455.62003208812,523.2511306012],"description":"Dudon's Slendro S2"},"slendro_udan":{"frequencies":[261.6255653006,305.22982618403,351.32575911795,402.50086969323,465.11211608996,523.2511306012],"description":"Slendro Udan Mas (approx)"},"slendro_wolf":{"frequencies":[261.6255653006,298.18866107946,339.86157848985,395.0032340925,450.20632964813,523.2511306012],"description":"Daniel Wolf's slendro. Tuning List 30 5 1997"},"slendrob1":{"frequencies":[261.6255653006,307.44024341205,355.66611281954,409.9203247543,476.83364134848,523.2511306012],"description":"Gamelan miring of Musadikrama, desa Katur, Bajanegara. 1/1=434 Hz"},"slendrob2":{"frequencies":[261.6255653006,307.55978097874,346.50416420081,398.42969909174,449.35693171058,523.2511306012],"description":"Gamelan miring from Bajanegara. 1/1=262 Hz"},"slendrob3":{"frequencies":[261.6255653006,304.90191053936,342.27700149692,398.33972372326,447.51732140012,523.2511306012],"description":"Gamelan miring from Ngumpak, Bajanegara. 1/1=266 Hz"},"slendroc1":{"frequencies":[261.6255653006,297.59222964268,344.42030317161,394.72197985873,449.50490455178,523.2511306012],"description":"Kyahi Kanyut mesem slendro (Mangku Nagaran Solo). 1/1=291 Hz"},"slendroc2":{"frequencies":[261.6255653006,302.44445076078,346.01554587335,396.09235530397,453.15466093696,523.2511306012],"description":"Kyahi Pengawe sari (Paku Alaman, Jogja). 1/1=295 Hz."},"slendroc3":{"frequencies":[261.6255653006,301.39807245198,344.42030317161,395.40657391157,451.84778706363,523.2511306012],"description":"Gamelan slendro of R.M. Jayadipura, Jogja. 1/1=231 Hz"},"slendroc4":{"frequencies":[261.6255653006,299.14332201883,343.8239850859,396.09235530397,450.28451247858,523.2511306012],"description":"Gamelan slendro, Rancha iyuh, Tanggerang, Batavia. 1/1=282.5 Hz"},"slendroc5":{"frequencies":[261.6255653006,299.83528893666,340.07120590121,393.12919962609,447.17417015401,523.2511306012],"description":"Gender wayang from Pliatan, South Bali. 1/1=611 Hz"},"slendroc6":{"frequencies":[261.6255653006,296.73398952435,343.8239850859,396.7793260952,453.9405988926,527.19506190947,607.33963549452,696.44215167899,797.23415748628,918.4302691641,1071.58188326661],"description":"from William Malm: Music Cultures of the Pacific, the Near East and Asia."},"slendrod1":{"frequencies":[261.6255653006,292.47977325983,340.6610152784,389.06292924114,444.85552088095,523.2511306012],"description":"Gender wayang from Ubud (S. Bali). 1/1=347 Hz"},"smith_eh":{"frequencies":[261.6255653006,272.7117507892,292.30354792656,313.30283124826,326.5788018031,350.04044239751,364.87314355143,391.08587539224,407.65784362321,436.94425707006,468.33462614046,488.17995458879,523.2511306012],"description":"Robert Smith's Equal Harmony temperament (1749)"},"smith_mq":{"frequencies":[261.6255653006,273.37438418823,292.50629623572,312.97714101186,327.03200500996,349.91910755601,365.63292511375,391.22148485648,408.79006910398,437.39894995248,468.01000388518,489.02693031834,523.2511306012],"description":"Robert Smith approximation of quarter comma meantone fifth"},"scalamakesrc2\\smithgw-ball":{"frequencies":[261.6255653006,267.07609791103,272.52663052146,274.70684356563,280.31310567921,286.15296204753,294.32876096318,300.46061014991,305.22982618403,306.59245933664,313.95067836072,320.49131749323,327.03195662575,333.84512238879,336.37572681506,343.38355445704,350.39138209902,357.69120255941,366.27579142084,367.91095120397,373.75080757229,381.53728273004,392.4383479509,400.61414686654,408.78994578219,412.06026534844,420.46965851882,429.2294430713,436.04260883433,448.50096908674,457.84473927605,467.18850946536,470.92601754108,476.92160341255,480.73697623985,490.54793493862,500.76768358318,515.07533168556,523.2511306012],"description":"Ball 2 around tetrad lattice hole"},"smithgw46":{"frequencies":[261.6255653006,273.72380653152,313.47993226845,327.97605323154,364.46098649856,392.98113253789,436.69740466987,456.89141950378,523.2511306012],"description":"Gene Ward Smith 46-tET subset \"Star\""},"smithgw46a":{"frequencies":[261.6255653006,282.09853500802,313.47993226845,327.97605323154,375.61187043063,392.98113253789,436.69740466987,470.87026054824,523.2511306012],"description":"46-tET version of \"Star\", alternative version"},"smithgw72a":{"frequencies":[261.6255653006,285.30470202322,299.37379946195,326.46944327063,342.56848033562,373.57357677338,391.99543598175,427.47405410759,435.78442404634,457.27406033445,498.66089874196,523.2511306012],"description":"Gene Ward Smith 72-tET subset, TL 04-01-2002"},"smithgw72c":{"frequencies":[261.6255653006,279.86396690685,305.19382000629,326.46944327063,349.22823143301,391.99543598175,419.32216217931,457.27406033445,489.15147723638,523.2511306012],"description":"Gene Ward Smith 72-tET subset, TL 04-01-2002"},"smithgw72d":{"frequencies":[261.6255653006,305.19382000629,326.46944327063,349.22823143301,366.44956000397,391.99543598175,419.32216217931,489.15147723638,523.2511306012],"description":"Gene Ward Smith 72-tET subset, TL 04-01-2002"},"smithgw72e":{"frequencies":[261.6255653006,279.86396690685,326.46944327063,349.22823143301,366.44956000397,391.99543598175,419.32216217931,489.15147723638,523.2511306012],"description":"Gene Ward Smith 72-tET subset, TL 04-01-2002"},"smithgw72f":{"frequencies":[261.6255653006,326.46944327063,349.22823143301,435.78442404634,466.16376151809,523.2511306012],"description":"Gene Ward Smith 72-tET subset, TL 04-01-2002"},"smithgw72g":{"frequencies":[261.6255653006,326.46944327063,349.22823143301,391.99543598175,419.32216217931,523.2511306012],"description":"Gene Ward Smith 72-tET subset, TL 04-01-2002"},"smithgw72h":{"frequencies":[261.6255653006,279.86396690685,314.13668154225,349.22823143301,391.99543598175,435.78442404634,489.15147723638,523.2511306012],"description":"Gene Ward Smith 72-tET subset, TL 09-01-2002"},"smithgw72i":{"frequencies":[261.6255653006,279.86396690685,293.66476791741,314.13668154225,326.46944327063,349.22823143301,366.44956000397,391.99543598175,419.32216217931,435.78442404634,470.6732130613,489.15147723638,523.2511306012],"description":"Gene Ward Smith 72-tET subset version of Duodene, TL 02-06-2002"},"smithgw72j":{"frequencies":[261.6255653006,274.52698453615,305.19382000629,326.46944327063,349.22823143301,366.44956000397,391.99543598175,435.78442404634,457.27406033445,489.15147723638,523.2511306012],"description":"{225/224, 441/440} tempering of decad, 72-et version (2002)"},"smithgw84":{"frequencies":[261.6255653006,286.48426603331,306.03443598155,335.11270457212,357.98136125932,391.99543598175,418.74586628806,458.53356119912,489.82466832727,523.2511306012],"description":"Gene Ward Smith 84-tET subset, 11-limit temperament \"Orwell\", 2002"},"smithgw_18":{"frequencies":[261.6255653006,272.52663052146,280.31310567921,286.15296204753,294.32876096318,306.59245933664,327.03195662575,343.38355445704,350.39138209902,367.91095120397,381.53728273004,392.4383479509,408.78994578219,420.46965851882,436.04260883433,457.84473927605,467.18850946536,490.54793493862,523.2511306012],"description":"Gene Ward Smith chord analogue to periodicity blocks, TL 12-07-2002"},"smithgw_21":{"frequencies":[261.6255653006,267.07609791103,280.31310567921,286.15296204753,299.00064605783,305.22982618403,320.49131749323,327.03195662575,343.38355445704,348.83408706747,366.27579142084,373.75080757229,392.4383479509,398.6675280771,418.60090448096,427.14378008261,448.50096908674,457.84473927605,478.40103369253,488.36772189445,512.57253609913,523.2511306012],"description":"Gene Ward Smith symmetrical 7-limit JI version of Blackjack, TL 10-5-2002"},"smithgw_45":{"frequencies":[261.6255653006,267.02002970726,269.13627541126,274.68560334708,276.86260193655,282.57123920205,288.39758300936,290.68325478745,296.67686217097,299.02814898089,305.19382000629,311.48661940174,313.95528147508,320.42873367481,322.96826575344,329.62755691287,336.42415617173,339.09045868095,346.08217376006,348.82502010853,356.01745236555,363.35818557229,366.23795155866,373.78942366597,376.75185941212,384.52011812375,392.44854854484,395.55886785613,403.71490654806,406.9145164708,415.30469757995,423.86787605389,427.22720671064,436.03621571368,439.49198556474,448.5538823653,457.80262665414,461.43090443914,470.94516310483,474.67759826036,484.46499093218,494.45418731234,498.37294408452,508.64890891624,512.68016480935,523.2511306012],"description":"Gene Ward Smith large limma repeating 5-tone MOS"},"smithgw_58":{"frequencies":[261.6255653006,264.89588486686,267.57160087561,269.80136421624,274.70684356563,279.06726965397,282.55561052465,285.40970760065,287.78812183066,290.69507255622,294.32876096318,299.00064605783,301.49231810831,305.22982618403,310.07474405997,313.95067836072,317.12189733406,319.76457981184,323.76163705949,327.03195662575,332.97799220076,336.37572681506,340.54567384169,343.38355445704,348.83408706747,353.19451315581,356.76213450082,359.73515228832,366.27579142084,370.01329949656,373.75080757229,380.54627680087,383.71749577421,387.59343007496,392.4383479509,398.6675280771,401.98975747775,406.97310157871,411.12588832951,418.60090448096,423.83341578697,428.11456140098,431.68218274599,436.04260883433,441.49314144476,448.50096908674,452.23847716247,457.84473927605,465.11211608996,470.92601754108,475.68284600109,479.64686971777,484.4917875937,490.54793493862,498.33441009638,507.3950357345,511.62332769895,516.79124009995,523.2511306012],"description":"Gene Ward Smith 58-tone epimorphic superset of Partch's 43-tone scale"},"smithgw_9":{"frequencies":[261.6255653006,279.06726965397,305.22982618403,327.03195662575,348.83408706747,392.4383479509,418.60090448096,448.50096908674,490.54793493862,523.2511306012],"description":"Gene Ward Smith \"Miracle-Magic square\" tuning, genus chromaticum of ji_12a"},"smithgw_al-baked":{"frequencies":[261.6255653006,277.59364499865,293.85651796007,311.0721560172,330.05816364769,349.39467974592,369.86402907174,392.4383479509,415.42941801053,439.76742419786,466.60823379256,493.94455998605,522.88238970142],"description":"Baked alaska, with beat ratios of 2 and 3/2"},"smithgw_al-fried":{"frequencies":[261.6255653006,277.00141553195,293.28091128458,310.96067952124,329.23597434237,348.58531822795,369.59898601143,391.32048195179,414.31855981944,439.29480556849,465.11235566178,492.44721175277,522.13326741512],"description":"Fried alaska, with octave-fifth brats of 1 and 2"},"smithgw_asbru":{"frequencies":[261.6255653006,275.52281548997,293.66476791741,313.00128725319,329.62755691287,351.33206601369,367.77883484915,391.99543598175,415.30469757995,440,468.97204376297,490.92584627687,523.2511306012],"description":"Modified bifrost (2003)"},"smithgw_bifrost":{"frequencies":[261.6255653006,275.07759559501,292.50627485027,311.03921839762,327.03195662575,349.91912034749,366.77012764335,391.22147055517,413.66634097248,437.39889945791,466.55882736321,489.02683710225,523.2511306012],"description":"Six meantone fifths, four pure, two of sqrt(2048/2025 sqrt(5))"},"smithgw_cauldron":{"frequencies":[261.6255653006,275.03056468741,291.83931845209,312.58541512404,325.54230007562,350.31873582686,364.83969341757,390.77519652096,414.65779561271,435.90375768372,469.07960710644,486.243977751,523.2511306012],"description":"Circulating temperament with two pure 9/7 thirds"},"smithgw_ck":{"frequencies":[195.99771799087,198.06437430898,200.15282320192,202.2632921446,203.72940721765,205.87758869102,208.04842120778,210.24214482145,211.76609376362,213.99901760782,216.25548480725,218.5357448459,220.11981156469,222.44081817627,224.78629944762,227.15651084977,228.80306427848,231.21563094,233.65363506284,235.34728316698,237.82885399313,240.33658984216,242.87076938222,244.63122826831,247.21069030843,249.81735238129,252.45149840587,254.28140507407,256.96262135434,259.67210915034,262.4101678886,264.31225911206,267.09924514556,269.91561641866,272.7616843206,274.73881033537,277.63573538138,280.56320805899,282.59688215652,285.57666497222,288.58786914203,291.63082264784,293.74472081062,296.84205135845,299.9720393359,303.13503255793,305.33231946532,308.55183127196,311.80529233825,315.09305703284,317.37702217863,320.72353853051,324.10533989702,327.52280172307,329.89686439088,333.37539375097,336.89059979959,339.33256534187,342.91058750208,346.52633537645,350.18021075922,352.71850659998,356.43767199462,360.19605541958,363.99406623991,366.6324923874,370.49837299068,374.40501441099,378.35285076765,381.09535716275,385.11373623244,389.17448849491,391.99543598174],"description":"Catakleismic temperament, g=316.745, 11-limit"},"smithgw_decab":{"frequencies":[261.6255653006,274.70684356563,293.02063313667,313.95067836072,348.83408706747,366.27579142084,392.4383479509,418.60090448096,439.53094970501,488.36772189445,523.2511306012],"description":"(10/9) <==> (16/15) transform of decaa"},"smithgw_decac":{"frequencies":[261.6255653006,280.31310567921,299.00064605783,313.95067836072,348.83408706747,373.75080757229,392.4383479509,418.60090448096,448.50096908674,498.33441009638,523.2511306012],"description":"inversion of decaa"},"smithgw_decad":{"frequencies":[261.6255653006,280.31310567921,311.45900631024,327.03195662575,348.83408706747,373.75080757229,392.4383479509,436.04260883433,467.18850946536,498.33441009638,523.2511306012],"description":"inversion of 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fifths"},"smithgw_glumma":{"frequencies":[261.6255653006,269.10058145205,299.00064605783,313.95067836072,327.03195662575,358.80077526939,373.75080757229,392.4383479509,436.04260883433,448.50096908674,457.84473927605,512.57253609913,523.2511306012],"description":"Gene Smith's Glumma scale, 7-limit, 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64/63"},"smithgw_hahn15":{"frequencies":[261.6255653006,279.06726965397,290.69507255622,305.22982618403,313.95067836072,327.03195662575,348.83408706747,366.27579142084,373.75080757229,392.4383479509,418.60090448096,436.04260883433,457.84473927605,470.92601754108,490.54793493862,523.2511306012],"description":"Hahn-reduced 15 note scale"},"smithgw_hahn16":{"frequencies":[261.6255653006,280.31310567921,294.32876096318,299.00064605783,313.95067836072,327.03195662575,343.38355445704,348.83408706747,366.27579142084,392.4383479509,408.78994578219,418.60090448096,436.04260883433,457.84473927605,488.36772189445,490.54793493862,523.2511306012],"description":"Hahn-reduced 16 note 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scale"},"smithgw_indianred":{"frequencies":[261.6255653006,275.93321340298,279.06726965397,290.69507255622,294.32876096318,310.07474405997,313.95067836072,327.03195662575,331.11985608357,348.83408706747,353.19451315581,367.91095120397,372.08969287196,392.4383479509,413.43299207996,418.60090448096,436.04260883433,441.49314144476,465.11211608996,470.92601754108,490.54793493862,496.11959049595,523.2511306012],"description":"32805/32768 Hahn-reduced"},"smithgw_klv":{"frequencies":[261.6255653006,271.78681896552,282.34272472006,293.30861211826,314.10491445143,326.30440921209,338.97771913949,352.14324873572,377.11107157735,391.75765725694,406.97310157871,422.77949745352,452.75560414132,470.34014155688,488.60764618722,523.2511306012],"description":"Variant of kleismic with 9/7 thirds, g=316.492"},"smithgw_meandin":{"frequencies":[261.6255653006,280.31310567921,299.00064605783,313.95067836072,336.37572681506,348.83408706747,373.75080757229,392.4383479509,418.60090448096,448.50096908674,470.92601754108,504.56359022259,523.2511306012],"description":"Gene Smith, inverted detempered 7-limit meantone"},"smithgw_meanred":{"frequencies":[261.6255653006,281.29980781121,291.99281841585,313.95067836072,325.57848126297,350.39138209902,363.36884069528,390.69417751556,420.46965851882,436.04260883433,468.83301301868,486.65469735975,523.2511306012],"description":"171-et Hahn reduced rational Meantone[12]"},"smithgw_meantune":{"frequencies":[261.6255653006,273.55401844854,279.77233440758,292.56174910339,312.85829351777,327.16018629281,334.59705725462,349.85254391288,365.77071543428,374.29488261541,391.03456781852,418.40555295943,437.51985793188,468.14464283802,489.08159472971,500.47948461038,523.2511306012],"description":"Meantune scale/temperament, Gene Ward Smith, 2003"},"smithgw_mir22":{"frequencies":[261.6255653006,267.57160087561,274.70684356563,280.31310567921,285.40970760065,299.00064605783,305.22982618403,319.76457981184,327.03195662575,343.38355445704,348.83408706747,366.27579142084,373.75080757229,392.4383479509,398.6675280771,418.60090448096,428.11456140098,448.50096908674,457.84473927605,479.64686971777,490.54793493862,512.78610798918,523.2511306012],"description":"11-limit Miracle[22]"},"smithgw_mmt":{"frequencies":[261.6255653006,273.37431312998,292.50627485027,307.38829724655,327.03195662575,349.91912034749,365.63284274659,391.22147055517,411.12588832951,437.39890198442,459.65271605653,489.02683710225,523.2511306012],"description":"Modified meantone with 5/4, 14/11 and 44/35 major thirds, TL 17-03-2003"},"smithgw_modmos12a":{"frequencies":[261.6255653006,265.27772209197,292.31087910123,304.72408298441,326.59518553839,340.46429857933,364.90060015836,391.09077971329,407.69874723177,425.01198472693,455.51656649021,488.21056770985,523.2511306012],"description":"A 12-note modmos in 50-et meantone"},"smithgw_octoid":{"frequencies":[261.6255653006,272.34559486824,274.88944875317,277.45706359738,280.04865972334,282.66446436432,285.30470202322,296.99497716113,299.76906949343,302.56907333554,305.39522895084,308.24778413898,311.12698372208,323.87531915696,326.90048829645,329.95391413777,333.03585868997,336.14659218049,339.28638158975,353.18853996009,356.48751029933,359.81729479041,363.17817915623,366.5704580819,369.99442271164,385.15483391523,388.75238658,392.38354231563,396.04861270515,399.74791910495,403.48177901006,420.01432465796,423.93748365756,427.89728706578,431.89407466632,435.9281969008,440,458.02886886968,462.30710409523,466.62530033172,470.98382811593,475.38306960714,479.82340237272,499.48402328631,504.14947188193,508.85849826899,513.6115065207,518.40891338474,523.2511306012],"description":"Octoid temperament, g=16.096, oct=1/8, 11-limit"},"smithgw_orw18r":{"frequencies":[261.6255653006,269.10058145205,280.31310567921,286.15296204753,299.00064605783,305.22982618403,327.03195662575,336.37572681506,348.83408706747,358.80077526939,381.53728273004,392.4383479509,406.97310157871,418.60090448096,448.50096908674,457.84473927605,474.80195184183,490.54793493862,523.2511306012],"description":"Rational version of two cycles of 9-tone \"Orwell\""},"smithgw_pel1":{"frequencies":[261.6255653006,272.52663052146,290.69507255622,294.32876096318,327.03195662575,348.83408706747,363.36884069528,392.4383479509,408.78994578219,418.60090448096,436.04260883433,490.54793493862,523.2511306012],"description":"125/108, 135/128 periodicity block no. 1"},"smithgw_pel2":{"frequencies":[261.6255653006,272.52663052146,290.69507255622,294.32876096318,313.95067836072,327.03195662575,348.83408706747,392.4383479509,408.78994578219,418.60090448096,436.04260883433,490.54793493862,523.2511306012],"description":"125/108, 135/128 periodicity block no. 2"},"smithgw_pel3":{"frequencies":[261.6255653006,290.69507255622,294.32876096318,313.95067836072,327.03195662575,348.83408706747,392.4383479509,408.78994578219,418.60090448096,436.04260883433,470.92601754108,490.54793493862,523.2511306012],"description":"125/108, 135/128 periodicity block no. 3"},"smithgw_pk":{"frequencies":[261.6255653006,271.01659746112,280.74472171431,290.822034715,313.8821415949,325.1489200649,336.82012073975,348.91025643633,376.57634157395,390.09352641046,404.09590743895,418.60090448096,451.79296003201,468.01003810189,484.80922990434,523.2511306012],"description":"Parakleismic temperament, g=315.263, 5-limit"},"smithgw_pris":{"frequencies":[261.6255653006,279.06726965397,293.02063313667,305.22982618403,327.03195662575,348.83408706747,366.27579142084,392.4383479509,418.60090448096,436.04260883433,457.84473927605,488.36772189445,523.2511306012],"description":"optimized (15/14)^3 (16/15)^4 (21/20)^3 (25/24)^2 scale"},"smithgw_prisa":{"frequencies":[261.6255653006,274.70684356563,293.02063313667,313.95067836072,327.03195662575,343.38355445704,366.27579142084,392.4383479509,418.60090448096,439.53094970501,457.84473927605,488.36772189445,523.2511306012],"description":"optimized (15/14)^3 (16/15)^4 (21/20)^3 (25/24)^2 scale"},"smithgw_pum13marv":{"frequencies":[261.6255653006,293.67396865289,305.56991629828,343.00138030143,326.66798000724,366.68389807519,349.22276077151,392.00157668785,407.88051296056,457.84473927605,436.04260883433,489.45661357347,549.41368713126,523.2511306012],"description":"pum13 marvel tempered and in epimorphic order"},"smithgw_qm3a":{"frequencies":[261.6255653006,279.86396690685,305.19382000629,326.46944327063,349.22823143301,366.44956000397,391.99543598175,419.32216217931,457.27406033445,489.15147723638,523.2511306012],"description":"Qm(3) 10-note quasi-miracle scale, mode A, 72-tET, TL 04-01-2002"},"smithgw_qm3b":{"frequencies":[261.6255653006,279.86396690685,299.37379946195,326.46944327063,349.22823143301,373.57357677338,391.99543598175,419.32216217931,448.5538823653,489.15147723638,523.2511306012],"description":"Qm(3) 10-note quasi-miracle scale, mode B"},"smithgw_ragasyn1":{"frequencies":[261.6255653006,269.16210421872,290.69507255622,313.95067836072,322.99452506247,348.83408706747,363.36884069528,392.4383479509,403.74315632809,436.04260883433,470.92601754108,484.4917875937,523.2511306012],"description":"Ragasyn 6561/6250 81/80 scale"},"smithgw_rainbow":{"frequencies":[261.6255653006,273.37431312998,292.50627485027,310.51268695591,327.03195662575,349.91912034749,365.63284274659,391.22147055517,412.03444522126,437.39889945791,468.01003810189,489.02683710225,523.2511306012],"description":"Circulating 1/4-comma meantone, Gene Ward SMith"},"smithgw_ratwell":{"frequencies":[261.6255653006,275.62199471997,293.02063313667,310.07474405997,326.72451751701,348.83408706747,367.49599295996,392.4383479509,413.43299207996,437.57747881743,465.11211608996,489.99465727995,523.2511306012],"description":"7-limit rational well-temperament"},"smithgw_ratwolf":{"frequencies":[261.6255653006,272.55669785235,292.25605339318,313.37920299881,326.47268679644,350.06888377949,364.69531895389,391.05410158062,407.39296674476,436.83777202739,468.410735204,487.98168129749,523.2511306012],"description":"Eleven fifths of (418/5)^(1/11) and one 20/13 wolf, G.W. Smith 2003"},"smithgw_rectoo":{"frequencies":[261.6255653006,290.69507255622,299.00064605783,313.95067836072,327.03195662575,348.83408706747,392.4383479509,408.78994578219,418.60090448096,436.04260883433,457.84473927605,470.92601754108,523.2511306012],"description":"Hahn-reduced circle of fifths via <12 19 27 34| kernel"},"smithgw_sc19":{"frequencies":[261.6255653006,269.16210421872,282.55561052465,290.69507255622,302.80736724606,313.95067836072,327.03195662575,339.06673262958,348.83408706747,363.36884069528,376.74081403286,392.4383479509,403.74315632809,418.60090448096,436.04260883433,452.08897683944,470.92601754108,484.4917875937,508.60009894437,523.2511306012],"description":"Fokker block from commas <81/80, 78732/78125>, Gene Ward Smith 2002"},"smithgw_sch13":{"frequencies":[261.6255653006,269.71217215021,278.04872701265,282.14859498561,290.86954990528,295.15846273282,304.2815407612,313.68660297237,318.31195648825,328.15068782436,332.98931632582,343.28171142549,353.89223299652,359.11042631209,370.21019888355,375.66900084958,387.28058594818,392.99109319609,405.13808832031,417.66053353744,423.81899742763,436.9188548657,443.36128543927,457.06517711961,471.19264083172,478.14044600934,492.91932687455,500.18749236202,515.64783010531,523.2511306012],"description":"13-limit schismic temperament, g=704.3917, TL 31-10-2002"},"smithgw_sch13a":{"frequencies":[261.6255653006,266.49502311502,271.45511438723,280.18048669638,285.39529457963,294.56874561631,300.051354061,305.6360048159,315.46005229837,321.33149462105,331.66004360268,337.8330052901,344.12086009392,355.18192699392,361.79268541866,373.4217751344,380.37201938485,392.59830625439,399.90547017058,407.34863733398,420.4420328577,428.26743302475,442.03321824291,450.26048038501,458.64087358289,473.38295124548,482.19370453904,497.69284002863,506.95605959354,523.2511306012],"description":"13-limit schismic temperament, g=702.660507, TL 31-10-2002"},"smithgw_scj22a":{"frequencies":[261.6255653006,272.52663052146,279.06726965397,290.69507255622,294.32876096318,301.39265122629,313.95067836072,327.03195662575,334.88072358477,348.83408706747,361.67118147155,363.36884069528,376.74081403286,392.4383479509,408.78994578219,418.60090448096,436.04260883433,454.2110508691,465.11211608996,470.92601754108,490.54793493862,502.32108537715,523.2511306012],"description":"225/224 ^ 15625/15552 = [6,5,22,37,-18,-6] catakleismic"},"smithgw_scj22b":{"frequencies":[261.6255653006,272.52663052146,279.06726965397,290.69507255622,294.32876096318,310.07474405997,313.95067836072,327.03195662575,334.88072358477,348.83408706747,353.19451315581,372.08969287196,387.59343007496,392.4383479509,408.78994578219,418.60090448096,436.04260883433,441.49314144476,465.11211608996,470.92601754108,490.54793493862,502.32108537715,523.2511306012],"description":"5120/5103 ^ 225/224 = [1,-8,-14,-10,25,-15] schismic candidate"},"smithgw_scj22c":{"frequencies":[261.6255653006,272.52663052146,279.06726965397,290.69507255622,294.32876096318,306.59245933664,313.95067836072,327.03195662575,334.88072358477,348.83408706747,357.20610515709,367.91095120397,383.2405741708,392.4383479509,408.78994578219,418.60090448096,436.04260883433,446.50763144636,465.11211608996,470.92601754108,490.54793493862,502.32108537715,523.2511306012],"description":"225/224 ^ 65625/65536 = [7,-3,827,7,-21] orwell candidate"},"smithgw_secab":{"frequencies":[261.6255653006,274.07613169002,291.39807132323,313.10572011471,348.73657263424,365.33268718488,392.54808236386,417.35759110361,437.21932894603,486.97408086388,523.2511306012],"description":"{126/125, 176/175} tempering of decab, 328-et version"},"smithgw_secac":{"frequencies":[261.6255653006,281.11531641881,298.8821409504,313.10572011471,348.73657263424,374.71564313773,392.54808236386,417.35759110361,448.44857247831,499.48119153644,523.2511306012],"description":"{126/125, 176/175} tempering of decac, 328-et version"},"smithgw_secad":{"frequencies":[261.6255653006,281.11531641881,313.10572011471,328.00618883132,348.73657263424,374.71564313773,392.54808236386,437.21932894603,469.78990700991,499.48119153644,523.2511306012],"description":"{126/125, 176/175} tempering of decad, 328-et version"},"smithgw_smalldi11":{"frequencies":[261.6255653006,269.10058145205,305.22982618403,313.95067836072,322.92069774245,366.27579142084,373.75080757229,423.93031414449,436.04260883433,448.50096908674,508.71637697339,523.2511306012],"description":"Small diesic 11-note block, <10/9, 126/125, 1728/1715> commas"},"smithgw_smalldi19a":{"frequencies":[261.6255653006,269.10058145205,272.52663052146,299.00064605783,305.22982618403,313.95067836072,317.94773560837,327.03195662575,358.80077526939,366.27579142084,373.75080757229,381.53728273004,418.60090448096,430.56093032327,436.04260883433,448.50096908674,457.84473927605,502.32108537715,508.71637697339,523.2511306012],"description":"Small diesic 19-note block, <16/15, 126/125, 1728/1715> commas"},"smithgw_smalldi19b":{"frequencies":[261.6255653006,266.96486255163,274.70684356563,299.00064605783,305.22982618403,313.95067836072,320.49131749323,327.03195662575,358.80077526939,366.27579142084,373.75080757229,381.53728273004,418.60090448096,427.14378008261,436.04260883433,448.50096908674,457.84473927605,498.33441009638,512.78610798918,523.2511306012],"description":"Small diesic 19-note block, <16/15, 126/125, 2401/2400> commas"},"smithgw_smalldi19c":{"frequencies":[261.6255653006,267.07609791103,274.70684356563,280.31310567921,286.15296204753,313.95067836072,320.49131749323,327.03195662575,336.37572681506,343.38355445704,373.75080757229,381.53728273004,392.4383479509,400.61414686654,436.04260883433,448.50096908674,457.84473927605,470.92601754108,508.71637697339,523.2511306012],"description":"Small diesic 19-note scale containing glumma"},"smithgw_smalldiglum19":{"frequencies":[261.6255653006,267.74077300753,273.99891691894,280.40333801024,286.95745534843,312.9293240034,320.24370022528,327.729041887,335.38934511627,343.22869944589,374.29355081838,383.0422478503,391.99543598175,401.15789496562,437.46578647972,447.69106452518,458.15534711532,468.86422071654,511.30005826145,523.2511306012],"description":"Small diesic \"glumma\" variant of 19-note MOS, 31/120 version"},"smithgw_smalldimos11":{"frequencies":[261.6255653006,267.74077300753,305.78200836532,312.9293240034,320.24370022528,365.74467430283,374.29355081838,427.47405410759,437.46578647972,447.69106452518,511.30005826145,523.2511306012],"description":"Small diesic 11-note MOS, 31/120 version"},"smithgw_smalldimos19":{"frequencies":[261.6255653006,267.74077300753,273.99891691894,298.79793764201,305.78200836532,312.9293240034,320.24370022528,327.729041887,357.39105439675,365.74467430283,374.29355081838,383.0422478503,417.71053321823,427.47405410759,437.46578647972,447.69106452518,458.15534711532,499.62194879119,511.30005826145,523.2511306012],"description":"Small diesic 19-note MOS, 31/120 version"},"smithgw_star":{"frequencies":[261.6255653006,272.52663052146,313.95067836072,327.03195662575,376.74081403286,392.4383479509,436.04260883433,470.92601754108,523.2511306012],"description":"Gene Ward Smith \"Star\" scale, untempered version"},"smithgw_star2":{"frequencies":[261.6255653006,282.55561052465,313.95067836072,327.03195662575,376.74081403286,392.4383479509,436.04260883433,470.92601754108,523.2511306012],"description":"Gene Ward Smith \"Star\" scale, alternative untempered version"},"starra":{"frequencies":[261.6255653006,274.07613169002,294.49338559574,313.10572011471,328.00618883132,343.61575980934,374.71564313773,392.54808236386,411.22915413197,437.21932894603,458.02627217006,492.14685988839,523.2511306012],"description":"12 note {126/125, 176/175} scale, 328-et version"},"smithgw_starrb":{"frequencies":[261.6255653006,274.07613169002,287.1192112957,305.26548915336,328.00618883132,343.61575980934,365.33268718488,392.54808236386,411.22915413197,437.21932894603,458.02627217006,479.82340237272,523.2511306012],"description":"12 note {126/125, 176/175} scale, 328-et version"},"smithgw_starrc":{"frequencies":[261.6255653006,274.07613169002,287.1192112957,313.10572011471,328.00618883132,343.61575980934,365.33268718488,392.54808236386,411.22915413197,437.21932894603,458.02627217006,492.14685988839,523.2511306012],"description":"12 note {126/125, 176/175} scale, 328-et version"},"smithgw_tetra":{"frequencies":[261.6255653006,274.84135386022,293.90210492181,314.2847539672,326.44746606412,342.93767672779,366.7210324511,392.15380743582,419.35039192746,435.57910814854,457.58200907672,489.31615916483,523.2511306012],"description":"{225/224, 385/384} tempering of two-tetrachord 12-note scale"},"smithgw_tr31":{"frequencies":[261.6255653006,267.54129532085,292.57243455474,299.18791603519,305.95298478736,334.57791819083,342.14320575162,349.87955533643,391.26571058456,400.11279059885,409.15991580663,447.44088028055,457.55816161244,467.90420651233,511.68128147674,523.2511306012],"description":"6/31 generator supermajor seconds tripentatonic scale"},"smithgw_tr7_13":{"frequencies":[261.6255653006,183.87449048025,346.05860897284,243.21533855007,457.74028507734,321.70694650116,605.46440189891,425.52973856044,299.06887661109,562.85871464284,395.58580335293,744.50714985079,523.2511306012],"description":"81/80 ==> 28561/28672"},"smithgw_tr7_13b":{"frequencies":[261.6255653006,372.25357492539,395.58580335293,281.42935732142,299.06887661109,425.52973856044,302.73220094945,321.70694650116,457.74028507734,486.43067710015,346.05860897284,367.7489809605,523.2511306012],"description":"reverse reduced 81/80 ==> 28561/28672"},"smithgw_tr7_13r":{"frequencies":[261.6255653006,367.7489809605,346.05860897284,486.43067710015,457.74028507734,321.70694650116,302.73220094945,425.52973856044,299.06887661109,281.42935732142,395.58580335293,372.25357492539,523.2511306012],"description":"reduced 81/80 ==> 28561/28672"},"smithgw_tra":{"frequencies":[261.6255653006,128.35937755236,399.56478905052,196.03545836752,610.23096296248,299.39301413087,931.96857771927,457.24471305759,224.33452437931,698.32199734535,342.61245382262,1066.50464849657,523.2511306012],"description":"81/80 ==> 1029/512"},"smithgw_tre":{"frequencies":[261.6255653006,256.71872396454,399.56476227799,392.07084290614,305.11544059319,299.39293769309,465.98419519089,457.24482979639,448.66910888407,349.16106442144,342.6124767791,533.2523889322,523.2511306012],"description":"81/80 ==> 1029/512 ==> reduction"},"smithgw_treb":{"frequencies":[261.6255653006,266.6261944661,342.6124767791,349.16106442144,448.66910888407,457.24482979639,465.98419519089,299.39293769309,305.11544059319,392.07084290614,399.56476227799,513.43744792908,523.2511306012],"description":"reversed 81/80 ==> 1029/512 ==> reduction"},"smithgw_trx":{"frequencies":[261.6255653006,490.17835855476,354.35176059633,331.954494127,479.94227969828,449.60690021487,325.02250210538,304.47902995326,285.23403465053,412.39349145653,386.32762147798,279.2776760715,523.2511306012],"description":"reduced 3/2->7/6 5/4->11/6 scale"},"smithgw_trxb":{"frequencies":[261.6255653006,279.2776760715,386.32762147798,412.39349145653,285.23403465053,304.47902995326,325.02250210538,449.60690021487,479.94227969828,331.954494127,354.35176059633,490.17835855476,523.2511306012],"description":"reversed reduced 3/2->7/6 5/4->11/6 scale"},"smithgw_wa":{"frequencies":[261.6255653006,273.6474362764,299.37379946195,313.13022722746,327.51877211613,349.22823143301,374.77430422696,391.99543598175,417.97870684853,437.18511000944,469.1652354389,500.26367760099,523.2511306012],"description":"Wreckmeister A temperament, TL 2-6-2002"},"smithgw_wa120":{"frequencies":[261.6255653006,273.99891691894,298.79793764201,312.9293240034,327.729041887,349.22823143301,374.29355081838,391.99543598175,417.71053321823,437.46578647972,468.86422071654,499.62194879119,523.2511306012],"description":"120-tET version of Wreckmeister A temperament"},"smithgw_wb":{"frequencies":[261.6255653006,280.76349612739,291.78605424516,313.13022722746,327.51877211613,349.22823143301,365.2755039332,391.99543598175,417.97870684853,437.18511000944,469.1652354389,487.58430040208,523.2511306012],"description":"Wreckmeister B temperament, TL 2-6-2002"},"smithgw_well1":{"frequencies":[261.6255653006,275.92984511873,292.92635710626,310.42107575858,327.5229776175,349.2237102284,367.90646015831,391.734151992,413.8947676781,437.99072463899,465.63161363786,490.54194687775,523.2511306012],"description":"Well-temperament, Gene Ward Smith (2005)"},"smithgw_whelp1":{"frequencies":[261.6255653006,275.93321340298,292.50627485027,310.07474405997,327.03195662575,348.05120395042,368.50381975103,390.45372436301,413.66634097248,438.25895612273,464.36382062247,491.65133958137,523.2511306012],"description":"well-temperament with one pure third, Gene Ward Smith, 2003"},"smithgw_whelp2":{"frequencies":[261.6255653006,275.85000668176,292.43269265164,309.98104674077,327.03195662575,347.97308568611,368.21146504308,391.7894791814,413.34036955908,438.14417346548,464.48314871299,489.73685071229,523.2511306012],"description":"well-temperament with two pure thirds"},"smithgw_whelp3":{"frequencies":[261.6255653006,275.96871294479,292.50627485027,310.03485655885,327.03195662575,349.46135677641,368.11883862276,391.73393619399,413.66634097248,436.82669499534,464.84945270756,489.66742197778,523.2511306012],"description":"well-temperament with three pure 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Wizard[28]"},"smithgw_wiz34":{"frequencies":[261.6255653006,269.80136421624,272.52663052146,277.4816601673,280.31310567921,287.78812183066,297.30177875068,305.22982618403,308.34441624714,313.95067836072,317.12189733406,327.03195662575,336.37572681506,345.34574619679,348.83408706747,356.76213450082,359.73515228832,370.01329949656,380.54627680087,383.71749577421,392.4383479509,396.40237166758,406.97310157871,418.60090448096,431.68218274599,436.04260883433,443.97065626768,448.50096908674,460.46099492906,475.68284600109,490.54793493862,493.35106599542,504.56359022259,508.71637697339,523.2511306012],"description":"11-limit Wizard[34]"},"smithgw_wiz38":{"frequencies":[261.6255653006,269.80136421624,272.52663052146,277.4816601673,280.31310567921,285.40970760065,287.78812183066,297.30177875068,305.22982618403,308.34441624714,313.95067836072,317.12189733406,327.03195662575,336.37572681506,339.14425131559,345.34574619679,348.83408706747,356.76213450082,359.73515228832,370.01329949656,380.54627680087,383.71749577421,392.4383479509,396.40237166758,403.65087217807,406.97310157871,418.60090448096,431.68218274599,436.04260883433,443.97065626768,448.50096908674,460.46099492906,475.68284600109,479.64686971777,490.54793493862,493.35106599542,504.56359022259,508.71637697339,523.2511306012],"description":"11-limit Wizard[38]"},"smithgw_wreckpop":{"frequencies":[261.6255653006,272.73569398658,292.31087910123,313.29104303136,326.59518553839,350.03605285217,364.90060015836,391.09077971329,419.16071913933,436.9606979923,455.51656649021,501.93603498211,523.2511306012],"description":"\"Wreckmeister\" 13-limit meanpop (50-et) tempered thirds"},"smithj12":{"frequencies":[261.6255653006,272.52663052146,294.32876096318,306.59245933664,331.11985608357,344.91651675372,363.36884069528,392.4383479509,408.78994578219,441.49314144476,459.88868900496,496.67978412536,523.2511306012],"description":"J. Smith, 5-limit JI scale, MMM 21-3-2006"},"smithj17":{"frequencies":[261.6255653006,272.57820116223,283.17034563789,295.02492750576,308.97787266236,319.3201344739,332.68808325276,348.42227432308,363.00854876594,377.11473546037,392.90218486657,411.48414905414,425.25755219187,443.06044202496,464.01459698705,479.54632553791,499.62194879119,523.2511306012],"description":"J. Smith 17-tone well temperament, MMM 12-2006"},"smithrk_19":{"frequencies":[261.6255653006,274.68253637698,286.11368885031,294.3308008075,305.19387818096,313.95878694534,327.0246436172,343.34529416761,348.83287827711,366.24211271841,381.48359653409,392.43970784476,406.92376081862,418.61050714007,436.03134720211,457.79213919624,470.93981233279,488.32112480698,508.64303280756,523.2511306012],"description":"19 out of 612-tET by Roger K. Smith, 1978"},"smithrk_mult":{"frequencies":[261.6255653006,274.70684356563,286.15296204753,294.32876096318,305.22982618403,313.95067836072,327.03195662575,343.38355445704,348.83408706747,366.27579142084,381.53728273004,392.4383479509,406.97310157871,418.60090448096,436.04260883433,457.84473927605,470.92601754108,488.36772189445,508.71637697339,523.2511306012],"description":"Roger K. Smith, \"Multitonic\" scale, just version"},"solar":{"frequencies":[261.6255653006,394.58976180129,774.00176545642,2207.36533954793,5481.83445910426,34573.03685904828,65024.37680021134,105705.6559450381],"description":"Solar system scale: 0=Pluto, 8=Mercury. 1/1=248.54 years period"},"solemn":{"frequencies":[261.6255653006,313.95067836072,348.83408706747,392.4383479509,418.60090448096,470.92601754108,523.2511306012],"description":"Solemn 6"},"songlines":{"frequencies":[261.6255653006,305.22982618403,313.95067836072,327.03195662575,348.83408706747,366.27579142084,392.4383479509,418.60090448096,436.04260883433,457.84473927605,470.92601754108,479.64686971777,523.2511306012],"description":"Songlines.DEM, Bill Thibault and Scott Gresham-Lancaster. 1992 ICMC (=rectsp6)"},"sorge":{"frequencies":[261.6255653006,272.52663052146,294.32876096318,306.59245933664,327.03195662575,348.83408706747,367.91095120397,392.4383479509,408.78994578219,436.04260883433,470.92601754108,490.54793493862,523.2511306012],"description":"Sorge's Monochord (1756)"},"sorge1":{"frequencies":[261.6255653006,276.86979852503,293.00227310437,311.47852302926,328.88393162803,349.6228209638,369.57684148724,391.5530240856,415.30469757995,439.00737933323,466.69047534984,493.32589719545,523.2511306012],"description":"Georg Andreas Sorge, 1744 (A)"},"sorge2":{"frequencies":[261.6255653006,276.24519242498,293.00227310437,310.77584116741,328.88393162803,348.83408706747,368.74309237173,391.5530240856,414.36778843034,438.51190905657,465.63764214343,492.21297564769,523.2511306012],"description":"Georg Andreas Sorge, 1744 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dekany"},"steleik1":{"frequencies":[220,220.57291666667,224.58333333333,225,226.875,229.16666666667,232.03125,235.27777777778,238.21875,240.625,242.63020833333,243.08035714286,247.5,248.14453125,252.08333333333,252.65625,255.234375,256.66666666667,257.8125,262.5,264.6875,270.703125,272.25,275,277.29166666667,278.4375,280.72916666667,283.59375,288.75,294.09722222222,297.7734375,302.5,308.80208333333,309.375,311.953125,315,315.10416666667,317.625,320.83333333333,324.10714285714,324.84375,330,330.859375,336.11111111111,336.875,340.3125,343.75,346.5,346.61458333333,350,352.91666666667,353.57142857143,360.9375,366.66666666667,371.25,378.125,385,388.92857142857,392.12962962963,393.75,397.03125,401.04166666667,403.33333333333,412.5,415.9375,423.5,425.390625,427.77777777778,432.14285714286,433.125,440],"description":"Stellated Eikosany 3 out of 1 3 5 7 9 11"},"steleik1s":{"frequencies":[123.47082531403,123.79236392162,125.33976847064,127.32928860509,129.9819821177,130.22313607339,131.308328874,132.59082945654,132.63467563031,133.69575303535,135.04621518722,136.42423779117,136.73429287706,138.90467847828,139.26640941182,141.47698733899,141.79852594658,143.24544968073,144.69237341488,145.8499124022,145.89814319334,147.3231438406,148.55083670594,148.82644122673,151.92699208562,154.33853164254,156.26776328807,156.6747105883,159.16161075637,160.43490364242,160.48795751267,162.05545822466,163.70908534941,165.05648522882,165.43161360434,165.73853682068,167.11969129419,168.80776898403,169.77238480679,173.63084809785,175.077771832,175.80123369908,178.26100404713,179.05681210091,180.06162024963,181.89898372156,182.31239050275,185.20623797104,185.68854588243,189.06470126211,189.41547065221,190.99393290764,192.92316455317,195.33470411009,198.06778227459,200.54362955302,202.56932278083,204.25740047067,204.63635668676,208.35701771743,208.89961411773,212.21548100849,212.69778891987,214.8681745211,216.07394429955,217.03856012232,220.07531363843,220.98471576091,222.82625505891,227.89048812843,229.19271948917,231.50779746381,233.43702910934,233.87012192772,234.4016449321,236.33087657764,238.74241613455,241.07423537553,241.15395569146,243.083187337,246.94165062806],"description":"Superstellated Eikosany 3 out of 1 3 5 7 9 11"},"steleik2":{"frequencies":[123.47082531403,124.49974885831,126.04313417474,126.11662871362,127.68005799519,128.74405847848,129.64436657973,130.41605923794,132.04518818306,132.96858110742,133.76006075687,135.81790784543,137.94006265552,138.64744759221,140.44806379471,141.47698733899,144.0492961997,145.92006628022,146.26543921816,147.13606683255,148.16499037684,148.55083670594,151.25176100969,152.15206911093,154.33853164254,154.49287017418,155.62468607289,156.05340421634,157.14468676331,157.64578589202,158.45422581967,160.51207290824,160.9300730981,163.85607442716,164.62776708537,167.20007594608,169.77238480679,170.24007732692,171.65874463798,172.85915543964,173.88807898393,175.56007974339,176.56328019906,180.06162024963,181.09054379391,182.8317990227,183.92008354069,185.20623797104,186.74962328747,187.26408505961,190.14507098361,193.11608771773,194.02558263633,197.55332050245,198.06778227459,200.6400911353,201.66901467958,202.31209189476,203.72686176815,204.2880927923,205.78470885672,205.99049356557,208.95062745451,210.19438118936,214.01609721099,214.57343079747,216.07394429955,217.36009872991,217.87456050205,220.70410024883,224.71690207153,226.36317974239,229.30296129748,230.47887391952,234.08010632452,237.68133872951,239.0961086029,240.76810936236,243.77573203026,245.22677805425,246.94165062806],"description":"Stellated Eikosany 3 out of 1 3 5 7 11 13"},"steleik2s":{"frequencies":[61.73541265702,61.89618196081,62.32902239411,62.70002847979,63.66464430255,64.65940436978,64.99099105886,65.83502990378,66.22690508177,66.31733781516,67.05419712422,67.52310759362,68.40003106886,68.56192463352,68.97003132776,69.45233923915,69.63320470592,70.8992629733,71.32128239576,72.34618670745,72.41853289415,72.94907159667,73.15003322642,73.66157192031,73.89646213689,74.27541835298,75.24003417574,75.43597176474,76.80753488774,77.16926582128,78.37503559973,79.58080537819,79.800036247,80.24397875634,80.46503654906,81.02772911234,81.51003702372,82.29378737972,82.71580680218,82.76403759332,84.40388449202,84.45309958502,84.8861924034,85.7024057919,86.21253915971,86.81542404893,87.05458499673,87.53888591601,87.7800398717,89.13050202357,90.52316611769,90.94949186079,92.60311898553,92.84427294122,94.05004271968,94.53235063106,94.83379307568,95.49696645383,95.7600434964,96.46158227659,96.55804385887,97.94560661931,98.52861618252,100.32004556766,100.58129568632,101.28466139042,101.88754627965,102.12870023534,103.45504699165,104.17850885872,105.33604784604,105.47988405157,106.10774050425,107.4857631082,108.03697214979,109.72504983963,111.41312752947,112.07630090762,112.86005126361,113.15395764711,114.2698743892,114.95005221294,115.75389873191,115.86965263064,116.71851455468,118.16543828883,118.23433941902,119.7000543705,120.57697784574,120.69755482359,121.54159366851,122.26505553558,123.47082531404],"description":"Superstellated Eikosany 3 out of 1 3 5 7 11 13"},"stelhex1":{"frequencies":[261.6255653006,274.70684356563,280.31310567921,286.15296204753,294.32876096318,327.03195662575,343.38355445704,381.53728273004,392.4383479509,400.61414686654,408.78994578219,429.2294430713,457.84473927605,490.54793493862,523.2511306012],"description":"Stellated two out of 1 3 5 7 hexany, also dekatesserany, mandala, tetradekany"},"stelhex2":{"frequencies":[261.6255653006,275.93321340298,294.32876096318,327.03195662575,331.11985608357,353.19451315581,367.91095120397,392.4383479509,408.78994578219,436.04260883433,441.49314144476,490.54793493862,523.2511306012],"description":"Stellated two out of 1 3 5 9 hexany"},"stelhex3":{"frequencies":[261.6255653006,271.31540105247,279.06726965397,281.36411960997,289.40309445597,297.67175429757,339.14425131559,348.83408706747,358.80077526939,361.75386806997,372.08969287196,385.87079260796,434.10464168396,465.11211608996,523.2511306012],"description":"Stellated Tetrachordal Hexany based on Archytas's Enharmonic"},"stelhex4":{"frequencies":[261.6255653006,269.10058145205,276.78916949353,279.06726965397,287.04062021552,297.67175429757,336.37572681506,348.83408706747,358.80077526939,361.75386806997,372.08969287196,382.72082695402,430.56093032327,465.11211608996,523.2511306012],"description":"Stellated Tetrachordal Hexany based on the 1/1 35/36 16/15 4/3 tetrachord"},"stelhex5":{"frequencies":[261.6255653006,294.32876096318,305.22982618403,331.11985608357,343.38355445704,386.30649876417,392.4383479509,400.61414686654,441.49314144476,457.84473927605,504.56359022259,515.07533168556,523.2511306012],"description":"Stellated two out of 1 3 7 9 hexany, stellation is degenerate"},"stelhex6":{"frequencies":[261.6255653006,269.80136421624,294.32876096318,299.7792935736,327.03195662575,337.2517052703,356.76213450082,359.73515228832,392.4383479509,408.78994578219,431.68218274599,449.66894036041,490.54793493862,494.63583439645,523.2511306012],"description":"Stellated two out of 1 3 5 11 hexany, from The Giving, by Stephen J. Taylor"},"stelpd1":{"frequencies":[207.65234878997,208.19311011494,212.37172035338,214.14148468966,218.03496622947,219.00833661442,222.07265078927,222.48465941783,222.99030637105,224.84855892414,227.11975648903,229.43730502463,233.60889238872,237.93498298851,240.90917027586,242.2610735883,244.73312535961,245.28933700815,247.76700707894,249.83173213793,250.29524184505,254.84606442405,255.50972605016,256.96978162759,259.56543598746,262.81000393731,267.67685586207,272.54370778684,275.32476602956,277.59081348659,280.33067086646,281.06069865517,283.1622938045,285.52197958621,292.0111154859,297.32040849473,299.79807856552,302.82634198537,305.91640669951,306.61167126019,311.47852318496,312.28966517242,317.24664398468,317.96765908464,318.55758053007,321.21222703448,324.45679498433,327.0524493442,330.35600943859,333.10897618391,333.72698912674,340.67963473354,342.62637550345,346.08724798328,350.41333858307,356.90247448276,363.39161038245,367.09968803941,371.65051061841,374.7475982069,380.69597278161,385.45467244138,389.34815398119,392.59272193104,396.42721132631,399.73077142069,400.47238695209,401.51528379311,403.7684559805,407.88854226601,408.81556168025,415.30469757994],"description":"Stellated two out of 1 3 5 7 9 11 pentadekany"},"stelpd1s":{"frequencies":[21.82676446456,21.88360499702,22.15715005948,22.2309638065,22.3228272933,22.50885085408,22.68892166091,22.91810268779,23.02041564622,23.14959867453,23.15196087848,23.34251199682,23.38581906917,23.43896865797,23.624449876,23.63429339678,23.87302363311,24.11662591508,24.35217522905,24.55511002263,24.61905562165,25.00983428231,25.20991295657,25.32245721084,25.46455854199,25.72440097609,25.78286552376,25.93612444091,26.04329850885,26.26032599642,26.30904645282,26.78739275196,26.85715158725,27.01062102489,27.2834555807,27.56185818867,27.62449877546,27.69643757435,28.01101439619,28.1360635676,28.29395393554,28.36115207614,28.41087110056,28.58266775121,28.64762835974,28.9399510981,29.17813999603,29.29871082246,29.46613202716,29.54286674598,29.7637697244,30.01180113877,30.06748166036,30.69388752829,30.99367756425,31.12334932909,31.25195821062,31.51239119571,31.65307151355,31.83069817748,32.15550122011,32.2285819047,32.41274522987,32.74014669684,32.82540749553,33.0742298264,33.34644570974,33.42223308636,33.48424093995,33.76327628112,34.09304532068,34.10431947588,34.37715403168,34.58149925455,34.7243980118,35.01376799523,35.07872860376,35.45144009517,35.80953544967,36.01416136652,36.17493887262,36.37794077427,36.74914425156,36.83266503394,36.92858343247,37.50234985274,37.51475142346,37.81486943485,37.88116146742,38.19683781298,38.26770393137,38.58660146413,38.90418666137,39.06494776328,39.39048899464,40.01573485169,40.28572738088,40.51593153734,40.92518337105,41.25258483802,41.26622656581,41.342787283,41.66927761416,42.01652159428,42.09447432451,42.2040953514,42.44093090331,42.61630665085,42.87400162681,42.9714425396,43.65352892912],"description":"Superstellated two out of 1 3 5 7 9 11 pentadekany"},"stelpent1":{"frequencies":[261.6255653006,274.70684356563,280.31310567921,286.15296204753,290.69507255622,294.32876096318,305.22982618403,313.95067836072,327.03195662575,336.37572681506,343.38355445704,348.83408706747,353.19451315581,366.27579142084,367.91095120397,373.75080757229,381.53728273004,392.4383479509,406.97310157871,412.06026534844,420.46965851882,436.04260883433,441.49314144476,448.50096908674,457.84473927605,470.92601754108,490.54793493862,504.56359022259,508.71637697339,515.07533168556,523.2511306012],"description":"Stellated one out of 1 3 5 7 9 pentany"},"stelpent1s":{"frequencies":[261.6255653006,271.31540105247,274.70684356563,275.93321340298,280.31310567921,282.55561052465,286.15296204753,288.32205155576,290.69507255622,294.32876096318,301.46155672497,305.22982618403,309.04519901133,313.95067836072,315.35224388912,320.35783506196,321.92208230347,327.03195662575,329.64821227876,336.37572681506,339.14425131559,343.38355445704,348.83408706747,353.19451315581,360.4025644447,366.27579142084,367.91095120397,373.75080757229,381.53728273004,386.30649876417,387.59343007496,392.4383479509,395.57785473451,403.65087217807,406.97310157871,411.88864507966,412.06026534844,420.46965851882,429.2294430713,436.04260883433,439.53094970501,441.49314144476,448.50096908674,452.19233508746,457.84473927605,470.92601754108,480.53675259294,482.88312345521,488.36772189445,490.54793493862,494.47231841813,498.33441009638,504.56359022259,508.71637697339,515.07533168556,523.2511306012],"description":"Superstellated one out of 1 3 5 7 9 pentany"},"steltet1":{"frequencies":[261.6255653006,274.70684356563,280.31310567921,286.15296204753,305.22982618403,313.95067836072,327.03195662575,343.38355445704,366.27579142084,373.75080757229,381.53728273004,392.4383479509,436.04260883433,448.50096908674,457.84473927605,490.54793493862,523.2511306012],"description":"Stellated one out of 1 3 5 7 tetrany"},"steltet1s":{"frequencies":[261.6255653006,274.70684356563,280.31310567921,286.15296204753,305.22982618403,313.95067836072,320.35783506196,327.03195662575,343.38355445704,366.27579142084,373.75080757229,381.53728273004,392.4383479509,429.2294430713,436.04260883433,439.53094970501,448.50096908674,457.84473927605,490.54793493862,508.71637697339,523.2511306012],"description":"Superstellated one out of 1 3 5 7 tetrany"},"steltet2":{"frequencies":[261.6255653006,267.07609791103,272.52663052146,286.15296204753,305.22982618403,327.03195662575,333.84512238879,343.38355445704,381.53728273004,392.4383479509,400.61414686654,408.78994578219,436.04260883433,457.84473927605,476.92160341255,490.54793493862,523.2511306012],"description":"Stellated three out of 1 3 5 7 tetrany"},"steltet2s":{"frequencies":[261.6255653006,286.15296204753,294.32876096318,300.46061014991,306.59245933664,327.03195662575,343.38355445704,350.53737850823,357.69120255941,367.91095120397,392.4383479509,400.61414686654,408.78994578219,429.2294430713,441.49314144476,457.84473927605,490.54793493862,500.76768358318,510.98743222773,515.07533168556,523.2511306012],"description":"Superstellated three out of 1 3 5 7 tetrany"},"steltri1":{"frequencies":[261.6255653006,313.95067836072,327.03195662575,392.4383479509,436.04260883433,490.54793493862,523.2511306012],"description":"Stellated one out of 1 3 5 triany"},"steltri2":{"frequencies":[261.6255653006,294.32876096318,327.03195662575,392.4383479509,408.78994578219,490.54793493862,523.2511306012],"description":"Stellated two out of 1 3 5 triany"},"stevin":{"frequencies":[261.6255653006,277.20445571159,293.66434538175,311.1256573916,329.66931111467,349.25319089654,369.99797100919,392.00714009679,415.41055144586,440.15068186507,466.27261682516,494.00597677606,523.2511306012],"description":"Simon Stevin, monochord division of 10000 parts for 12-tET (1585)"},"stopper":{"frequencies":[261.6255653006,277.19910487213,293.6996776193,311.18246278326,329.70593120198,349.3320268423,370.12638880276,392.15855510068,415.50221189151,440.23542223935,466.44090588941,494.20629608476,523.62445363767,554.79375523088,587.81844599272,622.80896314278,659.88233179115,699.16252826162,740.78092441407,784.8766959018],"description":"Bernard Stopper, piano tuning with 19th root of 3 (1988)"},"storbeck":{"frequencies":[261.6255653006,290.69507255622,294.32876096318,299.00064605783,305.22982618403,313.95067836072,327.03195662575,339.14425131559,348.83408706747,353.19451315581,358.80077526939,381.53728273004,387.59343007496,392.4383479509,403.65087217807,418.60090448096,436.04260883433,448.50096908674,457.84473927605,465.11211608996,470.92601754108,523.2511306012],"description":"Ulrich Storbeck, 2001"},"strahle":{"frequencies":[261.6255653006,278.94941459687,296.90543930973,315.65242990842,335.0021118691,355.12744448111,376.24442122187,398.15684412917,421.10213511252,444.85552088095,469.94877954106,496.17080790016,523.2511306012],"description":"Strahle's Geometrical scale"},"sub24-12":{"frequencies":[261.6255653006,273.00058987889,285.40970760065,299.00064605783,313.95067836072,330.47439827444,348.83408706747,369.35373924791,392.4383479509,418.60090448096,448.50096908674,483.00104363188,523.2511306012],"description":"Subharmonics 24-12"},"sub24":{"frequencies":[261.6255653006,10.90106522086,11.37502457829,11.89207115003,12.45836025241,13.08127826503,13.76976659477,14.53475362781,15.38973913533,16.35159783129,17.44170435337,18.68754037861,20.12504348466,21.80213044172,23.78414230005,26.16255653006,29.06950725562,32.70319566257,37.37508075723,43.60426088343,52.32511306012,65.40639132515,87.20852176687,130.8127826503,261.6255653006],"description":"Subharmonics 24-1"},"sub40":{"frequencies":[261.6255653006,275.39533189537,290.69507255622,307.79478270659,327.03195662575,348.83408706747,373.75080757229,402.50086969323,418.60090448096,436.04260883433,475.68284600109,498.33441009638,523.2511306012],"description":"sub 40-20"},"sub48":{"frequencies":[261.6255653006,279.06726965397,299.00064605783,313.95067836072,330.47439827444,348.83408706747,369.35373924791,392.4383479509,418.60090448096,448.50096908674,465.11211608996,502.32108537715,523.2511306012],"description":"12 of sub 48 (Leven)"},"sub50":{"frequencies":[261.6255653006,272.52663052146,290.69507255622,311.45900631024,327.03195662575,344.24416486921,373.75080757229,384.74347838324,408.78994578219,436.04260883433,467.18850946536,484.4917875937,523.2511306012],"description":"12 of sub 50"},"sub8":{"frequencies":[261.6255653006,279.06726965397,299.00064605783,322.00069575458,348.83408706747,380.54627680087,418.60090448096,465.11211608996,523.2511306012],"description":"Subharmonic series 1/16 - 1/8"},"sumatra":{"frequencies":[261.6255653006,266.79889483106,324.44528279699,356.96377863828,390.9602296356,474.47355835313,530.64156666967,639.28283484968,713.92755727656,784.8766959018],"description":"\"Archeological\" tuning of Pasirah Rus orch. in Muaralakitan, Sumatra. 1/1=354 Hz"},"super_10":{"frequencies":[261.6255653006,283.42769574232,305.22982618403,327.03195662575,348.83408706747,370.63621750918,392.4383479509,425.14154361347,457.84473927605,490.54793493862,523.2511306012],"description":"A superparticular 10-tone scale"},"super_11":{"frequencies":[261.6255653006,283.42769574232,305.22982618403,327.03195662575,348.83408706747,370.63621750918,392.4383479509,418.60090448096,444.76346101102,470.92601754108,497.08857407114,523.2511306012],"description":"A superparticular 11-tone scale"},"super_12":{"frequencies":[261.6255653006,279.06726965397,296.50897400735,313.95067836072,331.39238271409,348.83408706747,372.08969287196,395.34529867646,418.60090448096,441.85651028546,465.11211608996,494.18162334558,523.2511306012],"description":"A superparticular 12-tone scale"},"super_12_1":{"frequencies":[261.6255653006,280.31310567921,299.00064605783,317.68818643644,336.37572681506,355.06326719367,373.75080757229,392.4383479509,418.60090448096,444.76346101102,470.92601754108,497.08857407114,523.2511306012],"description":"Another superparticular 12-tone scale"},"super_12_2":{"frequencies":[261.6255653006,280.31310567921,299.00064605783,317.68818643644,336.37572681506,355.06326719367,373.75080757229,392.4383479509,420.46965851882,448.50096908674,473.41768959156,498.33441009638,523.2511306012],"description":"Another superparticular 12-tone scale"},"super_13":{"frequencies":[261.6255653006,277.97716313189,294.32876096318,310.68035879446,327.03195662575,343.38355445704,359.73515228832,376.08675011961,392.4383479509,418.60090448096,444.76346101102,470.92601754108,497.08857407114,523.2511306012],"description":"A superparticular 13-tone scale"},"super_14":{"frequencies":[261.6255653006,277.97716313189,294.32876096318,310.68035879446,327.03195662575,343.38355445704,359.73515228832,376.08675011961,392.4383479509,414.24047839262,436.04260883433,457.84473927605,479.64686971777,501.44900015948,523.2511306012],"description":"A superparticular 14-tone scale"},"super_15":{"frequencies":[261.6255653006,276.16031892841,290.69507255622,305.22982618403,319.76457981184,334.29933343966,348.83408706747,363.36884069528,381.53728273004,399.70572476481,417.87416679957,436.04260883433,457.84473927605,479.64686971777,501.44900015948,523.2511306012],"description":"A superparticular 15-tone scale"},"super_17":{"frequencies":[261.6255653006,274.08392555301,286.54228580542,299.00064605783,311.45900631024,323.91736656265,336.37572681506,348.83408706747,363.36884069528,377.90359432309,392.4383479509,411.12588832951,429.81342870813,448.50096908674,467.18850946536,485.87604984397,504.56359022259,523.2511306012],"description":"Superparticular 17-tone scale"},"super_19":{"frequencies":[261.6255653006,272.52663052146,283.42769574232,294.32876096318,305.22982618403,316.13089140489,327.03195662575,340.11323489078,353.19451315581,366.27579142084,379.35706968587,392.4383479509,408.13588186894,423.83341578697,439.53094970501,455.22848362304,470.92601754108,488.36772189445,505.80942624783,523.2511306012],"description":"Superparticular 19-tone scale"},"super_19_1":{"frequencies":[261.6255653006,272.09058791262,282.55561052465,293.02063313667,303.4856557487,313.95067836072,325.57848126297,337.20628416522,348.83408706747,363.36884069528,377.90359432309,392.4383479509,408.13588186894,423.83341578697,439.53094970501,455.22848362304,470.92601754108,488.36772189445,505.80942624783,523.2511306012],"description":"Superparticular 19-tone scale"},"super_19_2":{"frequencies":[261.6255653006,269.80136421624,277.97716313189,294.32876096318,302.50455987882,310.68035879446,318.85615771011,327.03195662575,343.38355445704,359.73515228832,376.08675011961,392.4383479509,408.78994578219,425.14154361347,441.49314144476,457.84473927605,474.19633710734,490.54793493862,506.89953276991,523.2511306012],"description":"Superparticular 19-tone scale"},"super_22":{"frequencies":[261.6255653006,270.96933548991,280.31310567921,289.65687586852,299.00064605783,308.34441624714,317.68818643644,327.03195662575,337.93302184661,348.83408706747,359.73515228832,370.63621750918,381.53728273004,392.4383479509,406.45400323486,420.46965851882,434.48531380278,448.50096908674,463.45100138963,478.40103369253,493.35106599542,508.30109829831,523.2511306012],"description":"Superparticular 22-tone scale"},"super_22_1":{"frequencies":[261.6255653006,272.09058791262,282.55561052465,293.02063313667,303.4856557487,313.95067836072,325.16320258789,336.37572681506,347.58825104223,358.80077526939,370.01329949656,381.22582372373,392.4383479509,405.51962621593,418.60090448096,431.68218274599,444.76346101102,457.84473927605,470.92601754108,484.00729580611,497.08857407114,510.16985233617,523.2511306012],"description":"Superparticular 22-tone scale"},"super_24":{"frequencies":[261.6255653006,270.34641747729,279.06726965397,287.78812183066,296.50897400735,305.22982618403,313.95067836072,322.67153053741,331.39238271409,340.11323489078,348.83408706747,359.73515228832,370.63621750918,381.53728273004,392.4383479509,405.51962621593,418.60090448096,431.68218274599,444.76346101102,457.84473927605,470.92601754108,484.00729580611,497.08857407114,510.16985233617,523.2511306012],"description":"Superparticular 24-tone scale, inverse of Mans.ur 'Awad"},"super_7":{"frequencies":[261.6255653006,287.78812183066,313.95067836072,353.19451315581,392.4383479509,431.68218274599,470.92601754108,523.2511306012],"description":"A superparticular 7-tone scale"},"super_8":{"frequencies":[261.6255653006,287.78812183066,313.95067836072,340.11323489078,366.27579142084,392.4383479509,436.04260883433,479.64686971777,523.2511306012],"description":"A superparticular 8 tone scale"},"super_9":{"frequencies":[261.6255653006,287.78812183066,313.95067836072,340.11323489078,366.27579142084,392.4383479509,425.14154361347,457.84473927605,490.54793493862,523.2511306012],"description":"A superparticular 9-tone scale"},"suppig":{"frequencies":[261.6255653006,272.52663052146,279.06726965397,294.32876096318,306.59245933664,313.95067836072,327.03195662575,340.65828815182,348.83408706747,367.91095120397,376.74081403286,392.4383479509,408.78994578219,418.60090448096,436.04260883433,459.88868900496,470.92601754108,490.54793493862,502.32108537715,523.2511306012],"description":"Friedrich Suppig's 19-tone JI scale. Calculus Musicus, Berlin 1722"},"sur_7":{"frequencies":[261.6255653006,280.40333801024,327.729041887,351.25128999693,383.0422478503,410.5345162762,479.82340237272,523.2511306012],"description":"7-tone surupan"},"sur_9":{"frequencies":[261.6255653006,280.40333801024,305.78200836532,327.729041887,351.25128999693,383.0422478503,410.5345162762,447.69106452518,479.82340237272,523.2511306012],"description":"Theoretical nine-tone surupan gamut"},"sur_ajeng":{"frequencies":[261.6255653006,285.30470202322,305.78200836532,383.0422478503,417.71053321823,523.2511306012],"description":"Surupan ajeng"},"sur_degung":{"frequencies":[261.6255653006,322.09885310804,345.21700307457,396.55020354877,488.21056770985,523.2511306012],"description":"Surupan degung"},"sur_madenda":{"frequencies":[261.6255653006,322.09885310804,345.21700307457,425.01198472693,488.21056770985,523.2511306012],"description":"Surupan madenda"},"sur_melog":{"frequencies":[261.6255653006,280.40333801024,305.78200836532,383.0422478503,410.5345162762,523.2511306012],"description":"Surupan melog"},"sur_miring":{"frequencies":[261.6255653006,285.30470202322,305.78200836532,389.73770840504,417.71053321823,523.2511306012],"description":"Surupan miring"},"sur_x":{"frequencies":[261.6255653006,280.40333801024,305.78200836532,383.0422478503,417.71053321823,523.2511306012],"description":"Surupan tone-gender X (= unmodified nyorog)"},"sur_y":{"frequencies":[261.6255653006,280.40333801024,300.52885648597,383.0422478503,410.5345162762,523.2511306012],"description":"Surupan tone-gender Y (= mode on pamiring)"},"sverige":{"frequencies":[261.6255653006,293.66476791741,329.62755691287,349.22823143301,391.99543598175,440,466.16376151809,493.88330125613,523.2511306012,554.36526195375,587.32953583482,622.25396744417,659.25511382574,698.45646286601,739.98884542327,783.9908719635,830.60939515989,880,932.32752303618,987.76660251225,1046.5022612024,1174.65907166964,1318.51022765149,1396.91292573202,1567.98174392701],"description":"Scale on Swedish 50 crown banknote of some kind of violin."},"syntonolydian":{"frequencies":[261.6255653006,294.32876096318,331.11985608357,372.50983809402,392.4383479509,441.49314144476,496.67978412536,523.2511306012],"description":"Greek Syntonolydian, also genus duplicatum medium, or ditonum (Al-Farabi)"},"syrian":{"frequencies":[261.6255653006,268.67837258085,275.62199471997,279.38237857051,286.74979536837,294.32876096318,302.10804307229,310.07474405997,314.30517589183,322.59351978942,326.6631048533,331.11985608357,339.85160932548,348.83408706747,358.05397697456,367.49599295996,372.50983809402,382.33306049116,392.4383479509,402.81072409638,413.43299207996,419.07356785577,430.12469305256,441.49314144476,453.13547910064,465.11211608996,477.40530263275,489.99465727995,496.67978412536,509.77741398822,523.2511306012],"description":"After ^Sayh.'Ali ad-Darwis^ (Shaykh Darvish) from d'Erlanger vol.5, p.29"},"szpak_24":{"frequencies":[261.6255653006,270.98948203641,277.18263097687,287.10335517712,293.66476791741,304.17540907689,311.12698372208,322.26262012861,329.62755691287,341.42535271779,349.22823143301,361.7275606831,369.99442271164,383.23700075636,391.99543598175,406.02545869431,415.30469757995,430.16898885692,440,455.74816803176,466.16376151809,482.84836435151,493.88330125613,511.56002220218,523.2511306012],"description":"Stephen Szpak's scale, TL 2-1-2004"},"pagano_b":{"frequencies":[261.6255653006,277.97716313189,289.55954492905,312.72430852337,333.57259575826,351.8148470888,370.63621750918,389.16802838464,416.96574469783,444.76346101102,463.29527188648,486.4600354808,523.2511306012],"description":"Pat Pagano and David Beardsley, 17-limit scale, TL 27-2-2001"},"palace":{"frequencies":[261.6255653006,277.01530443593,294.32876096318,299.00064605783,336.37572681506,348.83408706747,373.75080757229,392.4383479509,409.50088481833,428.11456140098,448.50096908674,470.92601754108,523.2511306012],"description":"Palace mode+"},"palace2":{"frequencies":[261.6255653006,277.01530443593,336.37572681506,348.83408706747,392.4383479509,428.11456140098,470.92601754108,523.2511306012],"description":"Byzantine Palace mode, 17-limit"},"panpipe1":{"frequencies":[261.6255653006,305.78200836532,346.61566493686,386.59871897734,424.03113209229,475.68400784708,523.2511306012],"description":"Palina panpipe of Solomon Islands. 1/1=f+45c. From Ocora CD Guadalcanal"},"panpipe2":{"frequencies":[261.6255653006,301.39807245198,340.46429857933,389.512652082,435.70052664441,481.48922855473,540.45338572244,606.98892366383,675.83458963267,749.45240308975,819.17415016614,915.78156525194,979.24522642508,1073.44040298899,1178.73719255088,1360.28482360484],"description":"Lalave panpipe of Solomon Islands. 1/1=f'+47c."},"panpipe3":{"frequencies":[261.6255653006,302.44445076078,341.44901934006,382.59999559751,433.19107626846,482.88183400971,542.01653249392,602.10016957865,677.78929781797,755.1012944609,822.018116801,906.30932187391,994.06270356141,1067.87449159209,1155.14617783291,1300.35790771888],"description":"Tenaho panpipe of Solomon Islands. 1/1=f'+67c."},"parachrom":{"frequencies":[261.6255653006,274.52698453615,288.06460709314,349.22823143301,391.99543598175,411.32572372413,431.60923940535,523.2511306012],"description":"Parachromatic, new genus 5 + 5 + 20 parts"},"parakleismic":{"frequencies":[261.6255653006,269.41173453909,271.00883762044,279.07425994419,280.72864356353,282.39283618632,290.79705467987,292.52093234567,301.22657042972,303.0122754386,312.03014360907,313.87989341557,323.22118988972,325.13728335605,327.06473376202,336.79842078181,338.79499972275,348.87778808468,350.94597487438,361.39038519337,363.53274806687,374.35175001315,376.5709514911,387.77797996035,390.07677146523,392.38919046486,404.06698135965,406.46233589795,418.55895395107,421.04021853379,433.57068509561,436.14094342919,449.12081866987,451.783257426,465.22865943552,467.98658728446,470.76086444006,484.77105399159,487.64483417146,502.15750307968,505.13434926963,520.16751901001,523.2511306012],"description":"Parakleismic temperament, g=315.250913, 5-limit"},"parizek":{"frequencies":[261.6255653006,277.97716313189,294.32876096318,310.68035879446,327.03195662575,343.38355445704,359.73515228832,392.4383479509,425.14154361347,441.49314144476,457.84473927605,490.54793493862,523.2511306012],"description":"Petr Parizek, 12-tone Linear Level tuning, 1/1=Ab"},"parizek_13lqmt":{"frequencies":[261.6255653006,272.70676208351,292.18581651805,313.05623198362,325.57848126297,348.83408706747,365.23227064756,391.32028997953,406.97310157871,436.04260883433,467.18850946536,486.97636086341,523.2511306012],"description":"April 2003 - Petr Parizek"},"parizek_17lqmt":{"frequencies":[261.6255653006,272.52663052146,291.99281841585,312.60407618638,327.03195662575,350.39138209902,364.70475555078,390.75509523297,408.78994578219,436.04260883433,467.18850946536,488.44386904122,523.2511306012],"description":"To tune the scale by ear, please choose the intervals in the following order:"},"parizek_7lmtd1":{"frequencies":[261.6255653006,280.31310567921,293.02063313667,313.95067836072,327.03195662575,350.39138209902,366.27579142084,392.4383479509,418.60090448096,437.98922762377,468.83301301868,490.54793493862,523.2511306012],"description":"Use SET MIDDLE 62"},"parizek_7lqmtd2":{"frequencies":[261.6255653006,280.31310567921,293.02063313667,313.95067836072,327.03195662575,350.39138209902,366.27579142084,390.69417751556,418.60090448096,437.98922762377,468.83301301868,488.36772189445,523.2511306012],"description":"Use SET MIDDLE 62"},"parizek_cirot":{"frequencies":[261.6255653006,273.76082553017,293.33333347996,307.98092841354,327.40170814054,348.04713286849,366.66693712906,392.88175996935,409.71484950008,438.01699797506,463.01593599647,491.10256480205,523.2511306012],"description":"Overtempered circular tuning (1/1 is F)"},"parizek_epi":{"frequencies":[261.6255653006,283.42769574232,305.22982618403,313.95067836072,327.03195662575,348.83408706747,366.27579142084,392.4383479509,418.60090448096,436.04260883433,457.84473927605,479.64686971777,523.2511306012],"description":"In The Epimoric World"},"parizek_epi2":{"frequencies":[261.6255653006,283.42769574232,287.78812183066,290.69507255622,294.32876096318,299.00064605783,305.22982618403,313.95067836072,327.03195662575,336.37572681506,348.83408706747,359.73515228832,366.27579142084,373.75080757229,392.4383479509,406.97310157871,418.60090448096,436.04260883433,448.50096908674,457.84473927605,465.11211608996,470.92601754108,479.64686971777,523.2511306012,523.2511306012],"description":"In the Epimoric World - extended (version for two keyboards)"},"parizek_epi2a":{"frequencies":[261.6255653006,283.42769574232,287.78812183066,294.32876096318,299.00064605783,305.22982618403,313.95067836072,327.03195662575,336.37572681506,348.83408706747,359.73515228832,366.27579142084,373.75080757229,392.4383479509,411.12588832951,418.60090448096,425.14154361347,436.04260883433,448.50096908674,457.84473927605,470.92601754108,479.64686971777,485.87604984397,523.2511306012,523.2511306012],"description":"April 2003 - Petr Parizek"},"parizek_ji1":{"frequencies":[261.6255653006,274.70684356563,294.32876096318,305.22982618403,327.03195662575,343.38355445704,366.27579142084,392.4383479509,412.06026534844,436.04260883433,457.84473927605,490.54793493862,523.2511306012],"description":"Petr Parizek, 12-tone septimal tuning, 2002."},"parizek_jiweltmp":{"frequencies":[261.6255653006,277.97716313189,294.32876096318,310.68035879446,329.45441556372,348.83408706747,370.63621750918,392.4383479509,416.96574469783,440.63253103259,465.11211608996,494.18162334558,523.2511306012],"description":"April 2003 - Petr Parizek"},"jiwt2":{"frequencies":[261.6255653006,277.97716313189,294.32876096318,310.68035879446,331.11985608357,348.83408706747,372.08969287196,392.4383479509,415.8649508569,441.49314144476,465.11211608996,496.67978412536,523.2511306012],"description":"June 2003 - Petr Parizek"},"parizek_llt7":{"frequencies":[261.6255653006,283.42769574232,327.03195662575,359.73515228832,392.4383479509,425.14154361347,479.64686971777,523.2511306012],"description":"7-tone mode of Linear Level Tuning 2000 (= wilson_helix)"},"parizek_qmeb1":{"frequencies":[261.6255653006,273.53155294581,293.066620053,305.25690181412,326.9069921792,350.33366042609,366.2083106197,392.1884190578,408.50877577745,437.87542071709,457.7197748295,488.61098601707,523.2511306012],"description":"Equal beating quasi-meantone tuning no. 1 - F...A# (1/1 = 261.7Hz)(3/2 5/3 5/4 7/4 7/6)"},"parizek_qmeb2":{"frequencies":[261.6255653006,274.12423619715,293.39509530855,306.21121252767,327.1564453797,350.32795211486,366.55713600477,391.6914154272,409.44351174042,438.20041390279,457.4712730142,489.73875803795,523.2511306012],"description":"Equal beating quasi-meantone tuning no. 2 - F...A# (1/1 = 262.7Hz)"},"parizek_qmeb3":{"frequencies":[261.6255653006,274.23252240717,293.57983281823,306.4052273004,327.28159934073,350.29865766202,366.78755898655,391.93906252094,409.53887392713,438.37260750749,457.59509656107,490.04864950866,523.2511306012],"description":"Equal beating quasi-meantone tuning no. 3 - F...A#. 1/1 = 262Hz"},"parizek_qmtp12":{"frequencies":[261.6255653006,273.55480692456,293.00227310437,305.44101254122,326.6631048533,350.4133380576,366.39100206434,391.84790908124,408.48291326839,437.52264545758,457.47219685667,489.2574430773,523.2511306012],"description":"12-tone quasi-meantone tuning with 1/9 Pyth. comma as basic tempering unit (F...A#)"},"parizek_qmtp24":{"frequencies":[261.6255653006,273.14323313659,280.64720643091,285.59764149034,293.00227310437,305.44101254122,313.83229199844,326.6631048533,335.63741195089,341.5578378819,350.4133380576,365.83975262993,375.89034660662,381.37064019061,391.84790908124,407.86833637529,419.07356785577,437.52264545758,448.86620556368,457.47219685667,469.33298761093,489.2574430773,502.69865025911,510.02774559919,523.2511306012],"description":"24-tone quasi-meantone tuning with 1/9 Pyth. comma as basic tempering unit (Bbb...C##)"},"parizek_syndiat":{"frequencies":[261.6255653006,290.69507255622,294.32876096318,327.03195662575,348.83408706747,353.19451315581,387.59343007496,392.4383479509,436.04260883433,441.49314144476,484.4917875937,490.54793493862,523.2511306012],"description":"Petr Parizek, diatonic scale with syntonic alternatives"},"parizek_syntonal":{"frequencies":[261.6255653006,272.52663052146,290.69507255622,294.32876096318,327.03195662575,348.83408706747,367.91095120397,392.4383479509,408.78994578219,436.04260883433,441.49314144476,490.54793493862,523.2511306012],"description":"Petr Parizek, Syntonic corrections in JI tonality, Jan. 2004"},"parizek_temp19":{"frequencies":[261.6255653006,276.69969455132,294.32876096318,310.68035879446,328.58088727969,349.51540364377,368.93292606842,392.4383479509,415.04954182698,438.10784970625,466.02053819169,492.87133091954,523.2511306012],"description":"Petr Parizek, genus [3 3 19 19 19] well temperament"},"partch-barstow":{"frequencies":[261.6255653006,279.06726965397,287.78812183066,290.69507255622,294.32876096318,299.00064605783,313.95067836072,327.03195662575,348.83408706747,359.73515228832,373.75080757229,392.4383479509,418.60090448096,436.04260883433,448.50096908674,470.92601754108,479.64686971777,490.54793493862,523.2511306012],"description":"Guitar scale for Partch's Barstow (1941, 1968)"},"partch-greek":{"frequencies":[261.6255653006,261.6255653006,271.31540105247,294.32876096318,279.06726965397,348.83408706747,313.95067836072,392.4383479509,392.4383479509,406.97310157871,418.60090448096,418.60090448096,523.2511306012],"description":"Partch Greek scales from \"Two Studies on Ancient Greek Scales\" on black/white"},"partch-grm":{"frequencies":[261.6255653006,271.31540105247,279.06726965397,294.32876096318,313.95067836072,348.83408706747,392.4383479509,406.97310157871,418.60090448096,523.2511306012],"description":"Partch Greek scales from \"Two Studies on Ancient Greek Scales\" mixed"},"partch-indian":{"frequencies":[261.6255653006,269.80136421624,277.97716313189,285.40970760065,294.32876096318,305.22982618403,313.95067836072,327.03195662575,336.37572681506,348.83408706747,359.73515228832,366.27579142084,383.71749577421,392.4383479509,406.97310157871,411.12588832951,428.11456140098,441.49314144476,457.84473927605,475.68284600109,490.54793493862,507.3950357345,523.2511306012],"description":"Partch's Indian Chromatic, Exposition of Monophony, 1933."},"partch-ur":{"frequencies":[261.6255653006,267.07609791103,269.80136421624,274.08392555301,279.06726965397,285.40970760065,290.69507255622,294.32876096318,299.00064605783,305.22982618403,313.95067836072,319.76457981184,327.03195662575,332.97799220076,336.37572681506,343.38355445704,348.83408706747,356.76213450082,359.73515228832,366.27579142084,373.75080757229,380.54627680087,383.71749577421,392.4383479509,398.6675280771,406.97310157871,411.12588832951,418.60090448096,428.11456140098,436.04260883433,448.50096908674,457.84473927605,465.11211608996,470.92601754108,479.64686971777,490.54793493862,499.46698830115,507.3950357345,512.57253609913,523.2511306012],"description":"Ur-Partch curved keyboard, published in Interval"},"partch_29-av":{"frequencies":[261.6255653006,269.80136421624,274.70684356563,280.31310567921,285.40970760065,290.69507255622,299.00064605783,305.22982618403,313.95067836072,319.76457981184,327.03195662575,336.37572681506,348.83408706747,359.73515228832,366.27579142084,373.75080757229,380.54627680087,392.4383479509,406.97310157871,418.60090448096,428.11456140098,436.04260883433,448.50096908674,457.84473927605,470.92601754108,479.64686971777,488.36772189445,498.33441009638,507.3950357345,523.2511306012],"description":"29-tone JI scale from Partch's Adapted Viola 1928-30"},"partch_29":{"frequencies":[261.6255653006,285.40970760065,287.78812183066,290.69507255622,294.32876096318,299.00064605783,305.22982618403,313.95067836072,319.76457981184,327.03195662575,332.97799220076,336.37572681506,348.83408706747,359.73515228832,366.27579142084,373.75080757229,380.54627680087,392.4383479509,406.97310157871,411.12588832951,418.60090448096,428.11456140098,436.04260883433,448.50096908674,457.84473927605,465.11211608996,470.92601754108,475.68284600109,479.64686971777,523.2511306012],"description":"Partch/Ptolemy 11-limit Diamond"},"partch_37":{"frequencies":[261.6255653006,267.07609791103,269.80136421624,274.08392555301,279.06726965397,285.40970760065,287.78812183066,290.69507255622,294.32876096318,299.00064605783,305.22982618403,313.95067836072,319.76457981184,327.03195662575,332.97799220076,336.37572681506,348.83408706747,359.73515228832,366.27579142084,373.75080757229,380.54627680087,392.4383479509,406.97310157871,411.12588832951,418.60090448096,428.11456140098,436.04260883433,448.50096908674,457.84473927605,465.11211608996,470.92601754108,475.68284600109,479.64686971777,490.54793493862,499.46698830115,507.3950357345,512.57253609913,523.2511306012],"description":"From \"Exposition on Monophony\" 1933, unp. see Ayers, 1/1 vol.9(2)"},"partch_39":{"frequencies":[261.6255653006,267.07609791103,269.80136421624,274.08392555301,279.06726965397,285.40970760065,290.69507255622,294.32876096318,299.00064605783,305.22982618403,313.95067836072,319.76457981184,327.03195662575,332.97799220076,336.37572681506,343.38355445704,348.83408706747,356.76213450082,359.73515228832,366.27579142084,373.75080757229,380.54627680087,383.71749577421,392.4383479509,398.6675280771,406.97310157871,411.12588832951,418.60090448096,428.11456140098,436.04260883433,448.50096908674,457.84473927605,465.11211608996,470.92601754108,479.64686971777,490.54793493862,499.46698830115,507.3950357345,512.57253609913,523.2511306012],"description":"Ur-Partch Keyboard 39 tones, published in Interval"},"partch_41":{"frequencies":[261.6255653006,281.75060878526,283.42769574232,285.40970760065,287.78812183066,290.69507255622,294.32876096318,299.00064605783,305.22982618403,309.19384990071,313.95067836072,319.76457981184,322.00069575458,327.03195662575,332.97799220076,336.37572681506,340.11323489078,348.83408706747,359.73515228832,362.25078272391,366.27579142084,373.75080757229,377.90359432309,380.54627680087,392.4383479509,402.50086969323,406.97310157871,411.12588832951,418.60090448096,425.14154361347,428.11456140098,436.04260883433,442.75095666255,448.50096908674,457.84473927605,465.11211608996,470.92601754108,475.68284600109,479.64686971777,483.00104363188,485.87604984397,523.2511306012],"description":"13-limit Diamond after Partch, Genesis of a Music, p 454, 2nd edition"},"partch_41a":{"frequencies":[261.6255653006,267.07609791103,269.80136421624,274.08392555301,279.06726965397,285.40970760065,287.78812183066,290.69507255622,294.32876096318,299.00064605783,305.22982618403,313.95067836072,319.76457981184,327.03195662575,332.97799220076,336.37572681506,343.38355445704,348.83408706747,356.76213450082,359.73515228832,366.27579142084,373.75080757229,380.54627680087,383.71749577421,392.4383479509,398.6675280771,406.97310157871,411.12588832951,418.60090448096,428.11456140098,436.04260883433,448.50096908674,457.84473927605,465.11211608996,470.92601754108,475.68284600109,479.64686971777,490.54793493862,499.46698830115,507.3950357345,512.57253609913,523.2511306012],"description":"From \"Exposition on Monophony\" 1933, unp. see Ayers, 1/1 vol. 9(2)"},"partch_41comb":{"frequencies":[261.6255653006,267.07609791103,269.80136421624,274.08392555301,274.70684356563,279.06726965397,280.31310567921,285.40970760065,287.78812183066,290.69507255622,294.32876096318,299.00064605783,305.22982618403,313.95067836072,319.76457981184,327.03195662575,332.97799220076,336.37572681506,348.83408706747,359.73515228832,366.27579142084,373.75080757229,380.54627680087,392.4383479509,406.97310157871,411.12588832951,418.60090448096,428.11456140098,436.04260883433,448.50096908674,457.84473927605,465.11211608996,470.92601754108,475.68284600109,479.64686971777,488.36772189445,490.54793493862,498.33441009638,499.46698830115,507.3950357345,512.57253609913,523.2511306012],"description":"41-tone JI combination from Partch's 29-tone and 37-tone scales"},"partch_43":{"frequencies":[261.6255653006,264.89588486686,269.80136421624,274.70684356563,279.06726965397,285.40970760065,287.78812183066,290.69507255622,294.32876096318,299.00064605783,305.22982618403,310.07474405997,313.95067836072,319.76457981184,327.03195662575,332.97799220076,336.37572681506,343.38355445704,348.83408706747,353.19451315581,359.73515228832,366.27579142084,373.75080757229,380.54627680087,387.59343007496,392.4383479509,398.6675280771,406.97310157871,411.12588832951,418.60090448096,428.11456140098,436.04260883433,441.49314144476,448.50096908674,457.84473927605,465.11211608996,470.92601754108,475.68284600109,479.64686971777,490.54793493862,498.33441009638,507.3950357345,516.79124009995,523.2511306012],"description":"Harry Partch's 43-tone pure scale"},"partch_43a":{"frequencies":[261.6255653006,267.07609791103,269.80136421624,274.70684356563,279.06726965397,285.40970760065,287.78812183066,290.69507255622,294.32876096318,299.00064605783,305.22982618403,310.07474405997,313.95067836072,319.76457981184,327.03195662575,332.97799220076,336.37572681506,343.38355445704,348.83408706747,356.76213450082,359.73515228832,366.27579142084,373.75080757229,380.54627680087,383.71749577421,392.4383479509,398.6675280771,406.97310157871,411.12588832951,418.60090448096,428.11456140098,436.04260883433,441.49314144476,448.50096908674,457.84473927605,465.11211608996,470.92601754108,475.68284600109,479.64686971777,490.54793493862,498.33441009638,507.3950357345,512.57253609913,523.2511306012],"description":"From \"Exposition on Monophony\" 1933, unp. see Ayers, 1/1 vol. 9(2)"},"patala":{"frequencies":[261.6255653006,289.6217982776,320.24370022528,355.94891173479,393.58362272115,439.74591942221,480.6555937997,537.34060327431],"description":"Observed patala tuning from Burma, Helmholtz/Ellis p. 518, nr.83"},"pelog1":{"frequencies":[261.6255653006,285.79952600623,313.83440569119,359.87690576543,393.35634555235,426.98050185716,482.04578814299,523.2511306012],"description":"Gamelan Saih pitu from Ksatria, Den Pasar (South Bali). 1/1=312.5 Hz"},"pelog10":{"frequencies":[261.6255653006,290.16653606067,310.14521470005,342.49164912079,385.30310526088,418.60090448096,442.38504678101,523.2511306012],"description":"Balinese saih 7 scale, Krobokan. 1/1=275 Hz. McPhee, 1966"},"pelog11":{"frequencies":[261.6255653006,289.11520789678,327.03195662575,352.6257619269,388.64667309147,441.73012112348,478.69895237627,523.2511306012],"description":"Balinese saih pitu, gamelan luang, banjar Se`se'h. 1/1=276 Hz. McPhee, 1966"},"pelog11i":{"frequencies":[261.6255653006,267.83009854382,287.76973397991,309.19384990071,332.21296611011,356.94582815655,383.52002471837,392.61532371972,421.84506978464,453.25093845942,486.99493426005,523.2511306012],"description":"George Secor's isopelogic scale with ~537.84194 generator and just 13/11"},"pelog12":{"frequencies":[261.6255653006,284.41230790592,308.04300430555,358.68021049276,385.68672051706,409.31741667997,472.61392441399,523.2511306012],"description":"Balinese saih pitu, gamelan Semar Pegulingan, Tampak Gangsai, 1/1=310, McPhee"},"pelog13":{"frequencies":[261.6255653006,289.80062617913,323.61069924911,351.78575931905,394.45085229937,454.02098012766,494.27106657141,523.2511306012],"description":"Balinese saih pitu, gamelan Semar Pegulingan, Klungkung, 1/1=325. McPhee, 1966"},"pelog14":{"frequencies":[261.6255653006,287.66412867175,309.98289727559,347.18084494866,375.69927149802,402.97776645827,427.77639824032,523.2511306012],"description":"Balinese saih pitu, suling gambuh, Tabanan, 1/1=211 Hz, McPhee, 1966"},"pelog15":{"frequencies":[261.6255653006,284.9387344858,307.6043148279,344.51683351465,375.60105909492,407.98046074103,427.4081017287,523.2511306012],"description":"Balinese saih pitu, suling gambuh, Batuan, 1/1=202 Hz. McPhee, 1966"},"pelog2":{"frequencies":[261.6255653006,285.30470202322,314.92395982138,345.81573716922,388.6137256405,424.52127512829,466.97226207056,523.2511306012],"description":"Bamboo gambang from Batu lulan (South Bali). 1/1=315 Hz"},"pelog3":{"frequencies":[261.6255653006,285.63448939555,315.83481057014,390.18821123181,421.34544350737,523.2511306012],"description":"Gamelan Gong from Padangtegal, distr. Ubud (South Bali). 1/1=555 Hz"},"pelog4":{"frequencies":[261.6255653006,290.96323214696,317.29765457754,352.87817160549,385.03871768789,434.94616895528,470.49199937597,523.2511306012],"description":"Hindu-Jav. demung, excavated in Banjarnegara. 1/1=427 Hz"},"pelog5":{"frequencies":[261.6255653006,284.64626913494,310.94732162256,358.21775774651,390.8649420513,427.47405410759,468.32288027948,523.2511306012],"description":"Gamelan Kyahi Munggang (Paku Alaman, Jogja). 1/1=199.5 Hz"},"pelog6":{"frequencies":[261.6255653006,282.02769802256,315.83481057014,354.51258839996,386.37547528213,413.39000965417,523.2511306012],"description":"Gamelan Semar pegulingan, Ubud (S. Bali). 1/1=263.5 Hz"},"pelog7":{"frequencies":[261.6255653006,281.2143451833,303.31920717687,353.89879686059,384.81637482457,412.43597848639,448.72664641273,523.2511306012],"description":"Gamelan Kantjilbelik (kraton Jogja). Measured by Surjodiningrat, 1972."},"pelog8":{"frequencies":[261.6255653006,281.2143451833,305.0763174688,362.1707891162,386.59871897734,415.30469757995,456.83405152976,529.33101587613,573.91491069685,623.33318620372,730.64478690489,786.25839925218,840.74610520523,945.88853913022,1075.30214607265],"description":"from William Malm: Music Cultures of the Pacific, the Near East and Asia."},"pelog9":{"frequencies":[261.6255653006,282.57123920205,305.19382000629,356.01745236555,384.52011812375,415.30469757995,448.5538823653,523.2511306012],"description":"9-tET Pelog"},"pelog9i":{"frequencies":[261.6255653006,287.76973397991,309.19384990071,332.21296611011,356.94582815655,383.52002471837,421.84506978464,453.25093845942,486.99493426005,523.2511306012],"description":"George Secor's isopelogic scale with ~537.84194 generator and just 13/11"},"pelog_24":{"frequencies":[261.6255653006,293.66476791741,320.24370022528,349.22823143301,391.99543598175,440,479.82340237272,523.2511306012],"description":"Subset of 24-tET (Sumatra?)"},"pelog_a":{"frequencies":[261.6255653006,280.7274598329,305.95868600104,363.84824628932,386.82209166041,411.72190027758,452.10885997356,523.2511306012],"description":"Pelog, average class A. Kunst 1949"},"pelog_alv":{"frequencies":[261.6255653006,299.00064605783,313.95067836072,343.38355445704,392.4383479509,418.60090448096,457.84473927605,523.2511306012],"description":"Bill Alves JI Pelog, 1/1 vol. 9 no. 4, 1997. 1/1=293.33"},"pelog_av":{"frequencies":[261.6255653006,280.40333801024,305.78200836532,357.39105439675,385.26118901859,411.72190027758,452.89298412314,523.2511306012],"description":"\"Normalised Pelog\", Kunst, 1949. Average of 39 Javanese gamelans"},"pelog_b":{"frequencies":[261.6255653006,280.07959041159,302.79405018898,354.30787302884,382.82105786018,408.64182041696,451.58686491179,523.2511306012],"description":"Pelog, average class B. Kunst 1949"},"pelog_c":{"frequencies":[261.6255653006,279.91785681123,304.37225518229,350.84574289301,384.81637482457,410.29745071461,451.58686491179,523.2511306012],"description":"Pelog, average class C. Kunst 1949"},"pelog_he":{"frequencies":[261.6255653006,283.17034563789,338.50336851425,364.68988616898,389.06292924114,420.13030572059,493.31307433255,523.2511306012],"description":"Observed Javanese Pelog scale, Helmholtz/Ellis p. 518, nr.96"},"pelog_jc":{"frequencies":[261.6255653006,294.32876096318,313.95067836072,392.4383479509,418.60090448096,523.2511306012],"description":"John Chalmers' Pelog, on keys C# E F# A B c#, like Olympos' Enharmonic on 4/3"},"pelog_laras":{"frequencies":[261.6255653006,283.42769574232,305.22982618403,370.63621750918,392.4383479509,414.24047839262,457.84473927605,523.2511306012],"description":"Lou Harrison, gamelan \"Si Betty\""},"pelog_me1":{"frequencies":[261.6255653006,281.13654920971,305.96893643544,353.85975480175,389.33427481332,412.3928606827,454.07565526112,523.2511306012],"description":"Gamelan Kyahi Kanyut Mesem pelog (Mangku Nagaran). 1/1=295 Hz"},"pelog_me2":{"frequencies":[261.6255653006,277.86440299076,299.96729002515,349.58586605592,383.41679241104,405.97081699752,447.47001910635,523.2511306012],"description":"Gamelan Kyahi Bermara (kraton Jogja). 1/1=290 Hz"},"pelog_me3":{"frequencies":[261.6255653006,281.75056896146,306.90688773629,358.59164065877,385.12012728597,411.64865826518,457.38747412584,523.2511306012],"description":"Gamelan Kyahi Pangasih (kraton Solo). 1/1=286 Hz"},"pelog_pa":{"frequencies":[261.6255653006,286.29520819723,313.29104303136,342.83241505062,387.04559340587,423.54155496477,463.47885582013,523.2511306012],"description":"\"Blown fifth\" pelog, von Hornbostel, type a."},"pelog_pa2":{"frequencies":[261.6255653006,286.29520819723,313.29104303136,353.69443592699,387.04559340587,423.54155496477,463.47885582013,523.2511306012],"description":"New mixed gender Pelog"},"pelog_pb":{"frequencies":[261.6255653006,277.98432293805,304.19649364034,353.69443592699,387.04559340587,411.24653512154,450.02449304881,523.2511306012],"description":"\"Primitive\" Pelog, step of blown semi-fourths, von Hornbostel, type b."},"pelog_pb2":{"frequencies":[261.6255653006,277.50302994288,303.66981774726,353.69443592699,387.04559340587,410.5345162762,449.24533531117,523.2511306012],"description":"\"Primitive\" Pelog, Kunst: Music in Java, p. 28"},"pelog_schmidt":{"frequencies":[261.6255653006,287.78812183066,313.95067836072,366.27579142084,392.4383479509,418.60090448096,470.92601754108,523.2511306012],"description":"Modern Pelog designed by Dan Schmidt and used by Berkeley Gamelan"},"pelog_selun":{"frequencies":[261.6255653006,281.10829462369,350.68958753059,378.52209447746,416.55977244877,523.2511306012,562.21664032682,701.37917506118,757.04418895493,833.11970794305,1046.5022612024,1124.43328065364],"description":"Gamelan selunding from Kengetan, South Bali (Pelog), 1/1=141 Hz"},"pelog_slen":{"frequencies":[261.6255653006,289.4545544734,306.66641795878,334.42210013281,344.22141564971,354.30787302884,386.37547528213,397.69714089209,446.39994737251,459.48046426806,493.88330125613,523.2511306012],"description":"W.P. Malm, pelog+slendro, Musical Cultures Of The Pacific, The Near East, And Asia. P: 1,3,5,6,8,10; S: 2,4,7,9"},"pelog_str":{"frequencies":[261.6255653006,282.73796785026,305.22982618403,329.86096249197,356.10146388137,384.83778957396,415.4517078616,448.97742116962,484.69365917187,523.80699136456],"description":"JI Pelog with stretched 2/1 and extra tones between 2-3, 6-7. Wolf, XH 11, '87"},"pelogic":{"frequencies":[261.6255653006,268.93425429917,294.59920226397,322.71340889889,353.51061198674,363.38617257172,398.06486099125,436.0530078362,477.66644151787,523.2511306012],"description":"Pelogic temperament, g=521.1, 5-limit"},"pelogic2":{"frequencies":[261.6255653006,252.56770712848,285.96465797334,276.06414495892,312.56802260838,301.74646235804,341.64630500046,386.82209166041,373.42974737602,422.80824892286,408.17001145418,462.1422075194,523.2511306012],"description":"Pelogic temperament, g=677.0 in cycle of fifths order"},"penta1":{"frequencies":[261.6255653006,282.55561052465,294.32876096318,313.95067836072,331.11985608357,372.50983809402,376.74081403286,397.34382730029,423.83341578697,441.49314144476,470.92601754108,496.67978412536,523.2511306012],"description":"Pentagonal scale 9/8 3/2 16/15 4/3 5/3"},"penta2":{"frequencies":[261.6255653006,267.07609791103,286.15296204753,305.22982618403,312.97980223949,333.84512238879,356.10146388137,363.36884069528,400.61414686654,436.04260883433,457.84473927605,476.92160341255,523.2511306012],"description":"Pentagonal scale 7/4 4/3 15/8 32/21 6/5"},"penta_opt":{"frequencies":[261.6255653006,292.5084949701,327.03692214239,391.62201198054,436.95817401562,523.2511306012],"description":"Optimally consonant major pentatonic, John deLaubenfels, 2001"},"pentadekany":{"frequencies":[261.6255653006,283.42769574232,299.7792935736,305.22982618403,327.03195662575,354.2846196779,359.73515228832,381.53728273004,389.71308164569,419.69101100305,425.14154361347,436.04260883433,457.84473927605,479.64686971777,495.99846754905,523.2511306012],"description":"2)6 1.3.5.7.11.13 Pentadekany (1.3 tonic)"},"pentadekany2":{"frequencies":[261.6255653006,269.80136421624,294.32876096318,299.7792935736,305.22982618403,327.03195662575,343.38355445704,359.73515228832,381.53728273004,392.4383479509,419.69101100305,436.04260883433,457.84473927605,479.64686971777,490.54793493862,523.2511306012],"description":"2)6 1.3.5.7.9.11 Pentadekany (1.3 tonic)"},"pentadekany3":{"frequencies":[261.6255653006,277.97716313189,278.79474302345,287.78812183066,291.4672313427,300.86940009569,305.77487944508,319.67373760167,359.73515228832,376.08675011961,405.51962621593,413.69542513157,430.86460285443,444.76346101102,506.89953276991,523.2511306012],"description":"2)6 1.5.11.17.23.31 Pentadekany (1.5 tonic)"},"pentatetra1":{"frequencies":[261.6255653006,275.39533189537,290.69507255622,327.03195662575,348.83408706747,392.4383479509,413.09299784305,436.04260883433,490.54793493862,523.2511306012],"description":"Penta-tetrachord 20/19 x 19/18 x 18/17 x 17/16 = 5/4. 5/4 x 16/15 = 4/3"},"pentatetra2":{"frequencies":[261.6255653006,275.39533189537,307.79478270659,327.03195662575,348.83408706747,392.4383479509,413.09299784305,461.69217405988,490.54793493862,523.2511306012],"description":"Penta-tetrachord 20/19 x 19/18 x 18/17 x 17/16 = 5/4. 5/4 x 16/15 = 4/3"},"pentatetra3":{"frequencies":[261.6255653006,290.69507255622,307.79478270659,327.03195662575,348.83408706747,392.4383479509,436.04260883433,461.69217405988,490.54793493862,523.2511306012],"description":"Penta-tetrachord 20/19 x 19/18 x 18/17 x 17/16 = 5/4. 5/4 x 16/15 = 4/3"},"pentatriad":{"frequencies":[261.6255653006,290.69507255622,294.32876096318,327.03195662575,348.83408706747,367.91095120397,392.4383479509,436.04260883433,441.49314144476,465.11211608996,490.54793493862,523.2511306012],"description":"4:5:6 Pentatriadic scale"},"pentatriad1":{"frequencies":[261.6255653006,290.69507255622,294.32876096318,327.03195662575,348.83408706747,387.59343007496,392.4383479509,436.04260883433,441.49314144476,465.11211608996,490.54793493862,523.2511306012],"description":"3:5:9 Pentatriadic scale"},"pepper":{"frequencies":[261.6255653006,274.70684356563,290.69507255622,294.32876096318,305.22982618403,327.03195662575,343.38355445704,348.83408706747,367.91095120397,392.4383479509,406.97310157871,436.04260883433,441.49314144476,457.84473927605,465.11211608996,490.54793493862,515.07533168556,523.2511306012],"description":"Keenan Pepper's 17-tone jazz tuning, TL 07-06-2000"},"pepper2":{"frequencies":[261.6255653006,281.81099471089,295.05751399041,308.92668738628,332.76158224462,348.40303271111,375.28368107222,392.9238840789,423.23948674937,443.13385158124,463.96335069158,499.75992392917,523.2511306012],"description":"Keenan Pepper's \"Noble Fifth\" with chromatic/diatonic semitone = Phi 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Jacky Ligon TL 12-04-2001"},"phi_13":{"frequencies":[261.6255653006,277.06593756944,293.41755524936,305.36527715608,323.38703872151,342.47239171077,362.68389667063,377.45230514615,399.72820043646,423.31898451752,448.3020273708,466.55651779723,494.09131284284,523.2511306012],"description":"Pythagorean scale with Phi as fifth"},"phi_13a":{"frequencies":[261.6255653006,280.653851324,293.09977429907,314.41721066027,328.36040925687,352.24238645938,377.86132347501,394.61802538749,423.31898451752,442.09155952525,474.24531572837,508.73764640933,531.29821178855,569.94005600595],"description":"Non-Octave Pythagorean scale with Phi as fifth, Jacky Ligon TL 12-04-2001"},"phi_13b":{"frequencies":[261.6255653006,277.56939878091,287.90530191745,305.45065986668,316.82478268872,336.13253486432,356.61692887617,369.89633953852,392.4383479509,407.05164722964,431.8579526603,458.17598957099,475.23717379553,504.19880204444],"description":"Non-Octave Pythagorean scale with 12 3/2s, Jacky Ligon, TL 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3136/3125 and 4375/4374, Gene Ward Smith, 2002"},"pipedum_9a":{"frequencies":[261.6255653006,282.62020942966,305.22982618403,329.72357766794,356.10146388137,384.67750727926,415.4517078616,448.79042515914,484.69365917187,523.2511306012],"description":"4375/4374, 2401/2400 and 21/20 are homophonic intervals"},"pipedum_9b":{"frequencies":[261.6255653006,279.06726965397,306.59245933664,327.03195662575,357.20610515709,383.2405741708,418.60090448096,446.50763144636,490.54793493862,523.2511306012],"description":"128/125 and 2109375/2097152 are homophonic intervals"},"pipedum_9c":{"frequencies":[261.6255653006,285.40970760065,305.22982618403,332.97799220076,348.83408706747,392.4383479509,411.12588832951,448.50096908674,479.64686971777,523.2511306012],"description":"49/48, 21/20, 99/98 and 121/120, Gene Ward Smith, 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128/125"},"polansky_ps":{"frequencies":[261.6255653006,523.2511306012,784.8766959018,1046.5022612024,1308.127826503,1569.7533918036,1831.3789571042,2093.0045224048,2354.6300877054,2616.255653006,2877.8812183066,3139.5067836072,3401.1323489078,3662.7579142084,3924.383479509,4186.0090448096,4447.6346101102,327.03195662575,654.0639132515,981.09586987725,1308.127826503,1635.15978312875,1962.1917397545,2289.22369638025,2616.255653006,2943.28760963175,3270.3195662575,3597.35152288325,3924.383479509,4251.41543613475,4578.4473927605,4905.47934938625,5232.511306012,5559.54326263775,392.4383479509,784.8766959018,1177.3150438527,1569.7533918036,1962.1917397545,2354.6300877054,2747.0684356563,3139.5067836072,3531.9451315581,3924.383479509,4316.8218274599,4709.2601754108,5101.6985233617,5494.1368713126,5886.5752192635,6279.0135672144,6671.4519151653],"description":"Three interlocking harmonic series on 1:5:3 by Larry Polansky in 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equal beating temperament (1785)"},"preston2":{"frequencies":[261.6255653006,276.2302000593,293.37610901672,311.58628319174,328.97985807656,349.39999567988,368.9044325484,391.80273191286,413.67420227347,439.35140993827,466.62242981045,492.67053466508,523.2511306012],"description":"Preston's theoretically correct well temperament"},"prime_10":{"frequencies":[261.6255653006,277.97716313189,310.68035879446,327.03195662575,359.73515228832,376.08675011961,392.4383479509,425.14154361347,457.84473927605,474.19633710734,523.2511306012],"description":"First 10 prime numbers reduced by 2/1"},"prime_5":{"frequencies":[261.6255653006,294.32876096318,327.03195662575,392.4383479509,436.04260883433,523.2511306012],"description":"What Lou Harrison calls \"the Prime Pentatonic\", a widely used scale"},"primes6":{"frequencies":[261.6255653006,523.2511306012,784.8766959018,1308.127826503,1831.3789571042,2877.8812183066,3401.1323489078],"description":"First 6 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13]"},"prod7d":{"frequencies":[261.6255653006,265.7783520514,267.90457886781,273.37201925287,279.06726965397,286.15296204753,294.32876096318,299.00064605783,300.46061014991,306.59245933664,310.07474405997,318.93402246168,327.03195662575,334.88072358477,341.71502406609,343.38355445704,348.83408706747,350.53737850823,357.69120255941,367.91095120397,372.08969287196,382.72082695402,390.53145607553,392.4383479509,398.6675280771,400.61414686654,408.78994578219,418.60090448096,429.2294430713,441.49314144476,446.50763144636,455.62003208812,457.84473927605,465.11211608996,478.40103369253,490.54793493862,500.76768358318,510.98743222773,515.07533168556,523.2511306012],"description":"Double Cubic Corner 7-limit. 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cents)"},"prog_ennea3":{"frequencies":[261.6255653006,269.55361273395,285.40970760065,310.07474405997,348.83408706747,392.4383479509,404.33041910093,428.11456140098,465.11211608996,523.2511306012],"description":"Progressive Enneatonic, appr. 50+100+150+200 cents in each half (500 cents)"},"prooijen1":{"frequencies":[261.6255653006,339.14425131559,366.27579142084,436.04260883433,470.92601754108,610.45965236807,726.73768139056,784.8766959018],"description":"Kees van Prooijen, major mode of Bohlen-Pierce"},"prooijen2":{"frequencies":[261.6255653006,311.45900631024,336.37572681506,436.04260883433,470.92601754108,560.62621135843,726.73768139056,784.8766959018],"description":"Kees van Prooijen, minor mode of Bohlen-Pierce"},"ps-dorian":{"frequencies":[261.6255653006,271.31540105247,279.06726965397,348.83408706747,392.4383479509,490.54793493862,504.56359022259,523.2511306012],"description":"Complex 4 of p. 115 based on Archytas's 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Enharmonic"},"ptolemy":{"frequencies":[261.6255653006,294.32876096318,327.03195662575,348.83408706747,392.4383479509,436.04260883433,490.54793493862,523.2511306012],"description":"Intense Diatonic Syntonon, also Zarlino's scale"},"ptolemy_chrom":{"frequencies":[261.6255653006,271.31540105247,290.69507255622,348.83408706747,392.4383479509,406.97310157871,436.04260883433,523.2511306012],"description":"Ptolemy Soft Chromatic"},"ptolemy_ddiat":{"frequencies":[261.6255653006,271.31540105247,310.07474405997,348.83408706747,392.4383479509,413.43299207996,465.11211608996,523.2511306012],"description":"Lyra tuning, Dorian mode, comb. of diatonon toniaion & diatonon ditoniaion"},"ptolemy_diat":{"frequencies":[261.6255653006,290.69507255622,313.95067836072,348.83408706747,392.4383479509,436.04260883433,470.92601754108,523.2511306012],"description":"Ptolemy's Diatonon Ditoniaion & Archytas' Diatonic, also Lyra 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diatonic"},"ptolemy_diff":{"frequencies":[261.6255653006,294.32876096318,327.03195662575,343.38355445704,392.4383479509,425.14154361347,490.54793493862,523.2511306012],"description":"Difference tones of Intense Diatonic reduced by 2/1"},"ptolemy_enh":{"frequencies":[261.6255653006,267.43946675172,279.06726965397,348.83408706747,392.4383479509,401.15920012759,418.60090448096,523.2511306012],"description":"Dorian mode of Ptolemy's Enharmonic"},"ptolemy_exp":{"frequencies":[261.6255653006,272.52663052146,275.93321340298,287.4304306281,290.69507255622,294.32876096318,306.59245933664,327.03195662575,340.65828815182,344.91651675372,348.83408706747,363.36884069528,367.91095120397,383.2405741708,392.4383479509,408.78994578219,413.89982010446,431.14564594215,436.04260883433,441.49314144476,459.88868900496,490.54793493862,510.98743222773,517.37477513058,523.2511306012],"description":"Intense Diatonic expanded: all interval combinations"},"ptolemy_hom":{"frequencies":[261.6255653006,285.40970760065,313.95067836072,348.83408706747,392.4383479509,428.11456140098,470.92601754108,523.2511306012],"description":"Dorian mode of Ptolemy's Equable Diatonic or Diatonon Homalon"},"ptolemy_iast":{"frequencies":[261.6255653006,271.31540105247,310.07474405997,348.83408706747,392.4383479509,418.60090448096,470.92601754108,523.2511306012],"description":"Ptolemy's Iastia or Lydia tuning, mixture of Tonic Diatonic & Intense Diatonic"},"ptolemy_iastaiol":{"frequencies":[261.6255653006,271.31540105247,310.07474405997,348.83408706747,392.4383479509,441.49314144476,465.11211608996,523.2511306012],"description":"Ptolemy's kithara tuning, mixture of Tonic Diatonic and Ditone Diatonic"},"ptolemy_ichrom":{"frequencies":[261.6255653006,274.08392555301,299.00064605783,348.83408706747,392.4383479509,411.12588832951,448.50096908674,523.2511306012],"description":"Dorian mode of Ptolemy's Intense Chromatic"},"ptolemy_idiat":{"frequencies":[261.6255653006,279.06726965397,313.95067836072,348.83408706747,392.4383479509,418.60090448096,470.92601754108,523.2511306012],"description":"Dorian mode of Ptolemy's Intense Diatonic (Diatonon Syntonon)"},"ptolemy_imix":{"frequencies":[261.6255653006,279.06726965397,294.32876096318,313.95067836072,327.03195662575,348.83408706747,392.4383479509,418.60090448096,436.04260883433,465.11211608996,490.54793493862,523.2511306012],"description":"Ptolemy Intense Diatonic mixed with its inverse"},"ptolemy_malak":{"frequencies":[261.6255653006,274.08392555301,299.00064605783,348.83408706747,392.4383479509,406.97310157871,465.11211608996,523.2511306012],"description":"Ptolemy's Malaka lyra tuning, a mixture of Intense Chrom. & Tonic Diatonic"},"ptolemy_malak2":{"frequencies":[261.6255653006,271.31540105247,290.69507255622,348.83408706747,392.4383479509,406.97310157871,465.11211608996,523.2511306012],"description":"Malaka lyra, mixture of his Soft Chromatic and Tonic Diatonic."},"ptolemy_mdiat":{"frequencies":[261.6255653006,274.70684356563,305.22982618403,348.83408706747,392.4383479509,412.06026534844,457.84473927605,523.2511306012],"description":"Ptolemy soft diatonic"},"ptolemy_mdiat2":{"frequencies":[261.6255653006,290.69507255622,305.22982618403,348.83408706747,392.4383479509,436.04260883433,457.84473927605,523.2511306012],"description":"permuted Ptolemy soft diatonic"},"ptolemy_mdiat3":{"frequencies":[261.6255653006,299.00064605783,313.95067836072,348.83408706747,392.4383479509,448.50096908674,470.92601754108,523.2511306012],"description":"permuted Ptolemy soft diatonic"},"ptolemy_meta":{"frequencies":[261.6255653006,274.70684356563,305.22982618403,348.83408706747,392.4383479509,406.97310157871,465.11211608996,523.2511306012],"description":"Metabolika lyra tuning, mixture of Soft Diatonic & Tonic Diatonic"},"ptolemy_mix":{"frequencies":[261.6255653006,279.06726965397,290.69507255622,294.32876096318,310.07474405997,313.95067836072,327.03195662575,348.83408706747,353.19451315581,367.91095120397,372.08969287196,387.59343007496,392.4383479509,418.60090448096,436.04260883433,441.49314144476,465.11211608996,470.92601754108,490.54793493862,523.2511306012],"description":"All modes of Ptolemy Intense Diatonic mixed"},"ptolemy_prod":{"frequencies":[261.6255653006,272.52663052146,275.93321340298,279.06726965397,290.69507255622,294.32876096318,313.95067836072,327.03195662575,331.11985608357,348.83408706747,363.36884069528,367.91095120397,372.08969287196,387.59343007496,392.4383479509,418.60090448096,436.04260883433,441.49314144476,465.11211608996,484.4917875937,490.54793493862,523.2511306012],"description":"Product of Intense Diatonic with its intervals"},"ptolemy_tree":{"frequencies":[261.6255653006,294.32876096318,299.00064605783,305.22982618403,313.95067836072,327.03195662575,348.83408706747,392.4383479509,436.04260883433,457.84473927605,470.92601754108,479.64686971777,485.87604984397,490.54793493862,523.2511306012],"description":"Intense Diatonic with all their Farey parent fractions"},"pygmie":{"frequencies":[261.6255653006,299.00064605783,343.38355445704,392.4383479509,457.84473927605,523.2511306012],"description":"Pygmie scale"},"pyle":{"frequencies":[261.6255653006,277.19063644077,293.6461094938,311.15753660095,329.66944764997,349.23831768549,369.99228554622,391.93430587921,415.28070933274,439.96441988338,466.23108306565,493.99742571239,523.2511306012],"description":"Howard Willet Pyle quasi equal temperament"},"pyramid":{"frequencies":[261.6255653006,294.32876096318,306.59245933664,327.03195662575,348.83408706747,367.91095120397,392.4383479509,408.78994578219,436.04260883433,441.49314144476,465.11211608996,490.54793493862,523.2511306012],"description":"This scale may also be called the \"Wedding Cake\""},"pyramid_down":{"frequencies":[261.6255653006,279.06726965397,294.32876096318,313.95067836072,334.88072358477,348.83408706747,392.4383479509,418.60090448096,441.49314144476,465.11211608996,470.92601754108,502.32108537715,523.2511306012],"description":"Upside-Down Wedding Cake (divorce cake)"},"pyth_12":{"frequencies":[261.6255653006,279.38237857051,294.32876096318,310.07474405997,331.11985608357,348.83408706747,372.50983809402,392.4383479509,419.07356785577,441.49314144476,465.11211608996,496.67978412536,523.2511306012],"description":"12-tone Pythagorean scale"},"pyth_12s":{"frequencies":[261.6255653006,279.38237857051,294.32876096318,314.30517589183,326.6631048533,348.83408706747,367.49599295996,392.4383479509,419.07356785577,435.55080647107,471.45776383774,489.99465727995,523.2511306012],"description":"Scale with major thirds flat by a schisma"},"pyth_17":{"frequencies":[261.6255653006,275.62199471997,279.38237857051,294.32876096318,310.07474405997,314.30517589183,331.11985608357,348.83408706747,367.49599295996,372.50983809402,392.4383479509,413.43299207996,419.07356785577,441.49314144476,465.11211608996,471.45776383774,496.67978412536,523.2511306012],"description":"17-tone Pythagorean scale"},"pyth_17s":{"frequencies":[261.6255653006,275.62199471997,279.06726965397,294.32876096318,310.07474405997,313.95067836072,331.11985608357,348.83408706747,367.49599295996,372.08969287196,392.4383479509,413.43299207996,418.60090448096,441.49314144476,465.11211608996,470.92601754108,496.67978412536,523.2511306012],"description":"Schismatically altered 17-tone Pythagorean scale"},"pyth_22":{"frequencies":[261.6255653006,275.62199471997,279.38237857051,290.36720431405,294.32876096318,310.07474405997,314.30517589183,326.6631048533,331.11985608357,348.83408706747,353.59332287831,367.49599295996,372.50983809402,392.4383479509,413.43299207996,419.07356785577,435.55080647107,441.49314144476,465.11211608996,471.45776383774,489.99465727995,496.67978412536,523.2511306012],"description":"Pythagorean shrutis"},"pyth_27":{"frequencies":[261.6255653006,265.19499215873,275.62199471997,279.38237857051,290.36720431405,294.32876096318,298.34436617857,310.07474405997,314.30517589183,326.6631048533,331.11985608357,348.83408706747,353.59332287831,367.49599295996,372.50983809402,387.15627241873,392.4383479509,397.79248823809,413.43299207996,419.07356785577,435.55080647107,441.49314144476,447.51654926786,465.11211608996,471.45776383774,489.99465727995,496.67978412536,523.2511306012],"description":"27-tone Pythagorean scale"},"pyth_31":{"frequencies":[261.6255653006,265.19499215873,275.62199471997,279.38237857051,283.19406633357,294.32876096318,298.34436617857,310.07474405997,314.30517589183,318.59332496145,326.6631048533,331.11985608357,335.63741195089,348.83408706747,353.59332287831,367.49599295996,372.50983809402,377.59208844475,392.4383479509,397.79248823809,413.43299207996,419.07356785577,424.79110016094,441.49314144476,447.51654926786,465.11211608996,471.45776383774,477.8899872033,489.99465727995,496.67978412536,503.45611792634,523.2511306012],"description":"31-tone Pythagorean scale"},"pyth_7a":{"frequencies":[261.6255653006,277.97716313189,294.32876096318,312.72430852337,331.11985608357,348.83408706747,370.63621750918,392.4383479509,416.96574469783,441.49314144476,469.08646278506,496.67978412536,523.2511306012],"description":"Pythagorean 7-tone with whole tones divided arithmetically"},"pyth_7h":{"frequencies":[261.6255653006,277.01530443593,294.32876096318,311.64221749042,331.11985608357,348.83408706747,369.35373924791,392.4383479509,415.52295665389,441.49314144476,467.46332623563,496.67978412536,523.2511306012],"description":"Pythagorean 7-tone with whole tones divided harmonically"},"pyth_chrom":{"frequencies":[261.6255653006,275.62199471997,294.32876096318,348.83408706747,392.4383479509,413.43299207996,441.49314144476,465.11211608996,523.2511306012],"description":"Dorian mode of the so-called Pythagorean chromatic, recorded by Gaudentius"},"pyth_sev":{"frequencies":[261.6255653006,268.38018042036,275.30918532257,282.41708286353,291.47537246454,299.00064605783,306.7202061947,314.63906894008,322.76237975718,333.11471138804,341.71502406609,350.53737850823,359.58750736009,368.87129039875,380.70252730062,390.53145607553,400.61414686654,410.95715126868,421.56719060242,435.08860262928,446.32166408632,457.84473927605,469.66531573563,481.7910743145,497.2441172906,510.08190181294,523.2511306012],"description":"26-tone Pythagorean scale based on 7/4"},"pyth_sev_16":{"frequencies":[261.6255653006,268.38018042036,275.30918532257,282.41708286353,306.7202061947,314.63906894008,322.76237975718,350.53737850823,359.58750736009,368.87129039875,400.61414686654,410.95715126868,421.56719060242,457.84473927605,469.66531573563,481.7910743145,523.2511306012],"description":"16-tone Pythagorean scale based on 7/4, \"Armodue\""},"pyth_third":{"frequencies":[261.6255653006,267.90457886781,274.33428876064,280.9183116909,287.66035117148,290.46272611903,297.43383186155,304.57224382623,311.88197767806,319.36714514233,327.03195662575,334.88072358477,342.9178609508,351.14788961362,359.57543896435,363.07840893547,371.79228894479,380.71530478279,389.85247209758,399.20893142792,408.78994578219,418.60090448096,428.6473261885,438.93486201703,449.46929870544,453.84801015616,464.74036282794,475.89413097849,487.31559012197,499.0111642849,510.98743222773,523.2511306012],"description":"Cycle of 5/4 thirds"}}