/
trichord_space.cloud5.html
979 lines (946 loc) · 37.1 KB
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trichord_space.cloud5.html
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<!DOCTYPE html>
<html>
<head>
<title>Chord Space for Trichords</title>
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<link rel="stylesheet" href="https://www.w3schools.com/w3css/4/w3.css">
<script src="CsoundAudioNode.js"></script>
<script src="csound_loader.js"></script>
<script src='CsoundAC.js'></script>
<script src="sprintf.js"></script>
<script src="three.js"></script>
<script src="TrackballControls.js"></script>
<script src="tinycolor.js"></script>
<script src="dat.gui.js"></script>
<style>
.trichord-box {
background:transparent;
border-box;
border-color:grey;
}
::-webkit-scrollbar {
width:10px;
}
::-webkit-scrollbar-track-piece {
opacity:.125;
background-color:grey;
}
::-webkit-scrollbar-corner {
opacity:.25;
background-color:grey;
}
</style>
</head>
<body style="background:black;">
<canvas id="canvas" style="background:transparent;position:absolute;height:100vh;width:100vw;top:0vh;left:0vw;"></canvas>
<table id="table" class="w3-table" style="position:absolute;height:25vh;width:100vw;top:0vh;left:0vw;display:block;">
<tr>
<td id="help">
<div class="w3-border w3-panel trichord-box" style="height:25vh;width:50vw;display:block;overflow-y:scroll;color:white;">
<h1>Chord Space for Trichords</h1>
<h3>Michael Gogins<br>31 January 2021</h3>
<p>This program is an interactive 3-dimensional model of a chord space for all
3-voice chords in 12-tone equal temperament. A chord is a single point in a
space with 1 dimension for each voice of a chord; thus, any chord space for
trichords has 3 dimensions. Different equivalence classes divide this space
into different quotient spaces (or orbifolds), e.g. octave equivalence
produces a cube, permutational equivalence a prism, transpositional
equivalence a flat layer, and inversional equivalence a reflection that
folds half the space over itself. The chord space at startup is the
combination of octave equivalence and permutational equivalence (OP). See:
Callendar, Quinn, and Tymoczko, "Generalized Voice-Leading Spaces,"
<b><i>Science</i> 320</b>, 2008.</p>
<p>Source code for this program <a href="https://github.com/gogins/csound-examples/blob/master/csound-extended-wasm/TrichordSpace.html">may be found here<a/>.
Source code for the CsoundAC library
that implements the chord spaces and transformations <a href="https://github.com/gogins/csound-extended">may be found here</a>.</p>
<p>In OP, the augmented triads form a central column (white balls). It is
surrounded by 3 columns of major triads (red balls), and 3 columns of minor
triads (blue balls); each column is a different voicing of the triad.
Neighboring chords are connected by 1-semitone voice-leadings.<p>
<p>Clicking on a chord selects it, plays it, and prints information about it
in the text area on the left side. Dragging the mouse with the left button
down rotates the model, dragging the mouse with the right button down moves
the model, and dragging the button with the mouse wheel down moves the model
closer to or farther away from the viewer.<p>
<p>The following commands are available by using the menu (or key
combinations). Please note, pressing the shift key in a key combination makes
an up movement into a down movement.
</p>
<dl>
<dt>Equivalence class</dt>
<dd>Sets the current equivalence class of the orbifold. The possibilities are OP
(octave equivalence and permutational equivalence), OPT (octave equivalence,
permutational equivalence, and transpositional equivalence; maps to normal form),
or OPTI (octave equivalence, permutational equivalence, transpositional
equivalence, and inversional equivalence; maps to prime form).<dd>
<dt>Play</dt>
<dd>Starts running the embedded Csound synthesizer, which will play chords as
they are selected.</dt>
<dt>Stop</dt>
<dd>Stops Csound.</dd>
<dt>Transpose [T]</dt>
<dd>Transposes the selected chord up (+ key) or down (- key) by 1 semitone.</dd>
<dt>Invert [I]</dt>
<dd>Inverts the selected chord, i.e. reflects it in the inversion flat that
divides each OPT domain into two OPTI domains.</dd>
<dt>Move voice 1 [1]</dt>
<dd>Moves voice 1 of the selected chord up or down by 1 semitone.</dd>
<dt>Move voice 2 [2]</dt>
<dd>Moves voice 2 of the selected chord up or down by 1 semitone.</dd>
<dt>Move voice 3 [3]</dt>
<dd>Moves voice 3 of the selected chord up or down by 1 semitone.</dd>
<dt>Neo-Riemannian transformations</dt>
<dd>
<dl>
<dt>Relative [R]</dt>
<dd>Applies the relative transformation to the selected chord, e.g. I <=> vi./dd>
<dt>Parallel [P]</dt>
<dd>Applies parallel transformation to the selected chord, e.g. I <=> i.</dd>
<dt>Leading-tone exchange [L]</dt>
<dd>Applies the leading-tone transformation to the selected chord, e.g. I <=> iii.</dd>
<dt>Slide [S]</dt>
<dd>Applies the slide transformation to the selected chord, e.g. I <=> i#.</dd>
<dt>Nebenverwandt [N]</dt>
<dd>Applies the Nebenverwandt transformation to the selected chord, e.g. I <=> iv.</dd>
<dt>Hexpole [X]</dt>
<dd>Applies the hexpole transformation to the selected chord, e.g. I <=> vib.</dd>
<dd></dd>
</dl>
<dt>Dominant [D]</dt>
<dd>Not a neo-Reimannian transformation, but transposes the chord down a
perfect fifth, e.g. V => I.</dd>
</dl>
</div>
</td>
<td>
<div id="console-layout" class="w3-panel trichord-box">
<textarea id="console" style="height:25vh;width:50vw;background-color:transparent;color:#A9F5A9;font-family:Courier,sans-serif;font-size:9pt;display:block;overflow-y:scroll;">
</textarea>
</div>
</td>
</table>
<textarea id="csd" class="w3-code" hidden="true" style="width:100%;height:25vh;box-sizing:border-box;background-color:MidnightBlue;color:NavajoWhite;">
<CsoundSynthesizer>
<CsOptions>
-d -f -m195 -odac
</CsOptions>
<CsInstruments>
sr = 48000
ksmps = 128
nchnls = 2
0dbfs = 500000
; Ensure the same random stream for each rendering.
; rand, randh, randi, rnd(x) and birnd(x) are not affected by seed.
;seed 81814
;seed 818145
seed 88818145
connect "FMWaterBell", "outleft", "ReverbSC", "inleft"
connect "FMWaterBell", "outright", "ReverbSC", "inright"
connect "Phaser", "outleft", "ReverbSC", "inleft"
connect "Phaser", "outright", "ReverbSC", "inright"
connect "Sweeper", "outleft", "ReverbSC", "inleft"
connect "Sweeper", "outright", "ReverbSC", "inright"
connect "Shiner", "outleft", "ReverbSC", "inleft"
connect "Shiner", "outright", "ReverbSC", "inright"
connect "ZakianFlute", "outleft", "ReverbSC", "inleft"
connect "ZakianFlute", "outright", "ReverbSC", "inright"
connect "ReverbSC", "outleft", "MasterOutput", "inleft"
connect "ReverbSC", "outright", "MasterOutput", "inright"
alwayson "ReverbSC"
alwayson "MasterOutput"
gk_overlap init 20
prealloc 1, 6
prealloc 2, 6
prealloc 3, 6
//////////////////////////////////////////////
// Original by Steven Yi.
// Adapted by Michael Gogins.
//////////////////////////////////////////////
gk_FMWaterBell_level init 15
gi_FMWaterBell_attack init 0.002
gi_FMWaterBell_release init 0.01
gi_FMWaterBell_sustain init 20
gi_FMWaterBell_sustain_level init .1
gk_FMWaterBell_index init .125
gk_FMWaterBell_crossfade init .05
gk_FMWaterBell_vibrato_depth init 0.
gk_FMWaterBell_vibrato_rate init 6
gk_FMWaterBell_midi_dynamic_range init 127
gi_FMWaterBell_cosine ftgen 0, 0, 65537, 11, 1
instr FMWaterBell, 1, 2, 3
i_instrument = p1
i_time = p2
i_duration = p3
; One of the envelopes in this instrument should be releasing, and use this:
i_sustain = 1000
xtratim gi_FMWaterBell_attack + gi_FMWaterBell_release
i_midi_key = p4
i_midi_dynamic_range = i(gk_FMWaterBell_midi_dynamic_range)
i_midi_velocity = p5 * i_midi_dynamic_range / 127 + (63.6 - i_midi_dynamic_range / 2)
k_space_front_to_back = p6
k_space_left_to_right = p7
k_space_bottom_to_top = p8
i_phase = p9
i_frequency = cpsmidinn(i_midi_key)
; Adjust the following value until "overall amps" at the end of performance is about -6 dB.
if i_midi_key > 42 goto high_level
i_level_correction = -23.5
goto end_level
high_level:
i_level_correction = -20
end_level:
i_normalization = ampdb(-i_level_correction) / 2
i_amplitude = ampdb(i_midi_velocity) * i_normalization * 1.6
k_gain = ampdb(gk_FMWaterBell_level)
a_signal fmbell 1, i_frequency, gk_FMWaterBell_index, gk_FMWaterBell_crossfade, gk_FMWaterBell_vibrato_depth, gk_FMWaterBell_vibrato_rate, gi_FMWaterBell_cosine, gi_FMWaterBell_cosine, gi_FMWaterBell_cosine, gi_FMWaterBell_cosine, gi_FMWaterBell_cosine ;, gi_FMWaterBell_sustain
;a_envelope linsegr 0, gi_FMWaterBell_attack, 1, i_sustain, gi_FMWaterBell_sustain_level, gi_FMWaterBell_release, 0
a_envelope linsegr 0, gi_FMWaterBell_attack, 1, i_sustain, 1, gi_FMWaterBell_release, 0
; ares transegr ia, idur, itype, ib [, idur2] [, itype] [, ic] ...
; a_envelope transegr 0, gi_FMWaterBell_attack, 12, 1, i_sustain, 12, gi_FMWaterBell_sustain_level, gi_FMWaterBell_release, 12, 0
a_signal = a_signal * i_amplitude * a_envelope * k_gain
a_out_left, a_out_right pan2 a_signal, p7
outleta "outleft", a_out_left
outleta "outright", a_out_right
prints "%24.24s i %9.4f t %9.4f d %9.4f k %9.4f v %9.4f p %9.4f #%3d\n", nstrstr(p1), p1, p2, p3, p4, p5, p7, active(p1)
; printks "%24.24s i %9.4f t %9.4f d %9.4f k %9.4f v %9.4f p %9.4f #%3d l%9.4f r%9.4f\n", 1, nstrstr(p1), p1, p2, p3, p4, p5, p7, active(p1), dbamp(rms(a_out_left)), dbamp(rms(a_out_right))
endin
gk_ReverbSC_feedback init 0.85
gi_ReverbSC_delay_modulation init 0.35
gk_ReverbSC_frequency_cutoff init 15000
instr ReverbSC
ainleft inleta "inleft"
ainright inleta "inright"
; aoutL, aoutR reverbsc ainL, ainR, kfblvl, kfco[, israte[, ipitchm[, iskip]]]
aoutleft, aoutright reverbsc ainleft, ainright, gk_ReverbSC_feedback, gk_ReverbSC_frequency_cutoff, sr, gi_ReverbSC_delay_modulation
; printks "%24.24s i %9.4f t %9.4f d %9.4f k %9.4f v %9.4f p %9.4f #%3d l%9.4f r%9.4f\n", 1, nstrstr(p1), p1, p2, p3, p4, p5, p7, active(p1), dbamp(rms(aoutleft)), dbamp(rms(aoutright))
outleta "outleft", aoutleft
outleta "outright", aoutright
prints "%24.24s i %9.4f t %9.4f d %9.4f k %9.4f v %9.4f p %9.4f #%3d\n", nstrstr(p1), p1, p2, p3, p4, p5, p7, active(p1)
endin
gk_MasterOutput_level init .5
instr MasterOutput
aleft inleta "inleft"
aright inleta "inright"
kgain = ampdb(gk_MasterOutput_level)
outs aleft * kgain, aright * kgain
prints "%24.24s i %9.4f t %9.4f d %9.4f k %9.4f v %9.4f p %9.4f #%3d\n", nstrstr(p1), p1, p2, p3, p4, p5, p7, active(p1)
endin
instr exitnow
prints "exitnow i %9.4f t %9.4f d %9.4f k %9.4f v %9.4f p %9.4f #%3d\n", nstrstr(p1), p1, p2, p3, p4, p5, p7, active(p1)
exitnow
endin
</CsInstruments>
<CsScore>
i "exitnow" [60 * 60 + 10 ] .1
</CsScore>
</CsoundSynthesizer>
</textarea>
</div>
<script>
var chord_space = null;
var chord_space_view = null;
try {
var fs = require("fs");
var __dirname = fs.realpathSync.native(".");
} catch(e) {
console.log(e);
}
var csound_message_callback = function(text) {
let messages_textarea = document.getElementById("console");
let existing = messages_textarea.value;
messages_textarea.value = existing + text;
messages_textarea.scrollTop = messages_textarea.scrollHeight;
};
function onMIDISuccess(midiAccess) {
csound_message_callback(midiAccess);
var inputs = midiAccess.inputs;
for (let output of midiAccess.outputs.values) {
csound_message_callback("MIDI output: " + output + "\n");
console.log(output);
}
}
function onMIDIFailure() {
csound_message_callback('Could not access your MIDI devices.');
}
var draw_fundamental_domain = function(value) {
if (value === "OP") {
chord_space = new ChordSpace("RP", 12.);
}
if (value === "OPT") {
chord_space = new ChordSpace("RPTg", 12.);
}
if (value === "OPTI") {
chord_space = new ChordSpace("RPTgI", 12.);
}
chord_space_view = new ChordSpaceView(chord_space);
chord_space_view.draw3D(document.getElementById("canvas"));
chord_space_view.lookAtFullScene3D();
};
var CsoundAC;
var csound_ = null;
(async function() {
CsoundAC = await createCsoundAC();
var txt = "";
txt += "Browser CodeName: " + navigator.appCodeName + "\n";
txt += "Browser Name: " + navigator.appName + "\n";
txt += "Browser Version: " + navigator.appVersion + "\n";
txt += "Cookies Enabled: " + navigator.cookieEnabled + "\n";
txt += "Browser Language: " + navigator.language + "\n";
txt += "Browser Online: " + navigator.onLine + "\n";
txt += "Platform: " + navigator.platform + "\n";
txt += "User-agent header: " + navigator.userAgent + "\n";
csound_message_callback(txt);
csound_message_callback(CsoundAC.chord_space_version() + "\n");
let CM = CsoundAC.chordForName("C+");
CM = CM.T(-4.);
console.log(CM.information());
console.log(CM.information_debug(-1));
draw_fundamental_domain("OP");
}());
var title = document.title;
var play_ = async function() {
try {
let messages_textarea = document.getElementById("console");
messages_textarea.value = "";
let csound_ = await get_csound(csound_message_callback);
if (csound_ == null) {
return;
}
let seconds = await csound_.GetScoreTime();
csound_message_callback("Score time: " + seconds + "\n");
if (seconds > 0) {
csound_message_callback("Already playing...\n");
return;
}
csd = document.getElementById('csd').value;
await csound_.CompileCsdText(csd);
await csound_.Start();
await csound_.Perform();
} catch(err) {
csound_message_callback(err.name + ': ' + err.message + ' ' + err.line + '\n');
alert("Csound has not finished loading... wait a bit and try again.");
}
}
var stop_ = async function() {
let csound_ = await get_csound(csound_message_callback);
let seconds = await csound_.GetScoreTime();
csound_message_callback("Score time: " + seconds + "\n");
if (seconds > 0) {
await csound_.Stop();
await csound_.Cleanup();
await csound_.Reset();
}
}
var gk_update = async function(name, value) {
var numberValue = parseFloat(value);
//let csound_ = await get_csound(csound_message_callback);
//csound_.SetControlChannel(name, numberValue);
};
var add_slider = function(gui_folder, token, minimum, maximum, name) {
var on_parameter_change = function(value) {
gk_update(token, value);
};
gui_folder.add(gui_parameters, token, minimum, maximum).onChange(on_parameter_change);
};
window.addEventListener("unload", function(event) {
gui_parameters.stop();
nw_window.close();
});
var gui_parameters = {
equivalence_class: 'OP',
gk_Reverb_feedback: .6,
gi_Reverb_delay_modulation: 0.05,
gk_Reverb_frequency_cutoff: 12000.,
gk_MasterOutput_level: 0.,
play: function() {play_();},
stop: function() {stop_();},
transpose: function() {chord_space_view.controller.transpose(this.semitone);},
invert: function() {chord_space_view.controller.invert();},
nrr: function() {chord_space_view.controller.nrr()},
nrp: function() {chord_space_view.controller.nrp()},
nrl: function() {chord_space_view.controller.nrl()},
nrs: function() {chord_space_view.controller.nrs()},
nrn: function() {chord_space_view.controller.nrn()},
nrh: function() {chord_space_view.controller.nrh()},
nrd: function() {chord_space_view.controller.nrd()},
v1: function() {chord_space_view.controller.v1(this.semitone)},
v2: function() {chord_space_view.controller.v2(this.semitone)},
v3: function() {chord_space_view.controller.v3(this.semitone)},
semitone: 1.,
};
window.addEventListener("load", function() {
try {
gui = new dat.GUI({width: 400});
gui.add(gui_parameters, 'play').name('Play');
gui.add(gui_parameters, 'stop').name('Stop');
let Master = gui.addFolder('Master effects');
add_slider(Master, 'gk_Reverb_feedback', 0, 1);
add_slider(Master, 'gi_Reverb_delay_modulation', 0, 3);
add_slider(Master, 'gk_Reverb_frequency_cutoff', 5000, 20000);
add_slider(Master, 'gk_MasterOutput_level', -80, 80);
gui.add(gui_parameters, 'equivalence_class', ['OP', 'OPT', 'OPTI']).name('Equivalence class').onChange(draw_fundamental_domain);
gui.add(gui_parameters, 'transpose').name('Transpose [T]');
gui.add(gui_parameters, 'invert').name('Invert [I]');
let Neo_Reimannian = gui.addFolder('Neo-Riemannian Transformations');
Neo_Reimannian.add(gui_parameters, 'nrr').name('Relative [R]');
Neo_Reimannian.add(gui_parameters, 'nrp').name('Parallel [P]');
Neo_Reimannian.add(gui_parameters, 'nrl').name('Leading tone exchange [L]');
Neo_Reimannian.add(gui_parameters, 'nrs').name('Slide [S]');
Neo_Reimannian.add(gui_parameters, 'nrn').name('Nebenverwandt [N]');
Neo_Reimannian.add(gui_parameters, 'nrh').name('Hexpole [X]');
gui.add(gui_parameters, 'nrd').name('Dominant');
gui.add(gui_parameters, 'v1').name('Move voice 1 [1]');
gui.add(gui_parameters, 'v2').name('Move voice 2 [2]');
gui.add(gui_parameters, 'v3').name('Move voice 3 [3]');
document.addEventListener("keydown", function (e) {
const e_char = String.fromCharCode(e.keyCode || e.charCode);
if (e.shiftKey === true) {
gui_parameters.semitone = -1;
} else {
gui_parameters.semitone = 1.;
}
if (e_char === 'H') {
var table = document.getElementById("table");
if (table.style.display === "none") {
table.style.display = "block";
} else {
table.style.display = "none";
}
gui.closed = true;
gui.closed = false;
} else if (e_char === ' ') {
gui_parameters.play();
} else if (e_char === 'T') {
gui_parameters.transpose();
} else if (e_char === 'I') {
gui_parameters.invert();
} else if (e_char === '1') {
gui_parameters.v1();
} else if (e_char === '2') {
gui_parameters.v2();
} else if (e_char === '3') {
gui_parameters.v3();
} else if (e_char === 'D') {
gui_parameters.nrd();
} else if (e_char === 'R') {
gui_parameters.nrr();
} else if (e_char === 'P') {
gui_parameters.nrp();
} else if (e_char === 'L') {
gui_parameters.nrl();
} else if (e_char === 'S') {
gui_parameters.nrs();
} else if (e_char === 'N') {
gui_parameters.nrn();
} else if (e_char === 'X') {
gui_parameters.nrh();
}
});
} catch (e) {
console.error(e);
};
});
class ChordSpace {
constructor(equivalence_class_, range_) {
csound_message_callback("ChordSpace constructor: " + equivalence_class_ + ", " + range_ + "\n");
this.equivalence_class = equivalence_class_;
this.range = range_;
this.chords = CsoundAC.allOfEquivalenceClass(3, this.equivalence_class, this.range, 1., 0, false);
}
contains(a) {
let n = this.chords.size();
for (let i = 0; i < n; i++) {
let b = this.chords.get(i);
if (a.equals(b)) {
return true;
}
}
return false;
}
};
const pickPosition = {x: 0, y: 0};
function getCanvasRelativePosition(event) {
const rect = canvas.getBoundingClientRect();
return {
x: (event.clientX - rect.left) * canvas.width / rect.width,
y: (event.clientY - rect.top ) * canvas.height / rect.height,
};
}
function setPickPosition(event) {
try {
const pos = getCanvasRelativePosition(event);
pickPosition.x = (pos.x / canvas.width ) * 2 - 1;
pickPosition.y = (pos.y / canvas.height) * -2 + 1; // note we flip Y
} catch(x) {
csound_message_callback(x);
}
}
function clearPickPosition() {
// unlike the mouse which always has a position
// if the user stops touching the screen we want
// to stop picking. For now we just pick a value
// unlikely to pick something
pickPosition.x = -100000;
pickPosition.y = -100000;
}
clearPickPosition();
/**
* Manages user interactions with the balls in the scene graph that represent
* chords. Chords are value types and balls are Three.js reference types.
*/
class ChordSpaceController {
constructor(view) {
this.raycaster = new THREE.Raycaster();
this.pickedObject = null;
this.pickedObjectSavedColor = 0;
this.view = view;
/**
* Maps Three.js object ids to Chord instances.
*/
this.chords_for_balls = new Map();
/**
* Maps Chord ids to Three.js object ids.
*/
this.balls_for_chords = new Map();
}
/**
* Returns the chord associated with the object, or undefined if the chord
* does not exist.
*/
chord_for_ball(object_) {
if (object_ == null) {
return;
}
let id = object_.id;
let chord = this.chords_for_balls.get(id);
return chord;
}
/**
* Returns the object associated with the chord, or undefined if the
* object does not exist.
*/
ball_for_chord(chord) {
if (chord == null) {
return;
}
let chord_id = chord.toString();
let ball_id = this.balls_for_chords.get(chord_id);
if (ball_id == null) {
return;
}
let object_ = this.view.scene.getObjectById(ball_id);
return object_;
}
current_chord() {
return this.chord_for_ball(this.pickedObject);
}
transpose(semitone) {
let chord = this.current_chord();
if (chord == null) {
return;
}
chord = chord.T(semitone).eOP();
this.select_chord(chord);
}
/*
Chord self = chord;
if (predicate<EQUIVALENCE_RELATION_RPTgI>(self, range, g, opt_sector) == true) {
return self;
} else {
auto rptt = equate<EQUIVALENCE_RELATION_RPTg>(self, range, g, opt_sector);
if (predicate<EQUIVALENCE_RELATION_I>(rptt, range, g, opt_sector) == true) {
return rptt;
} else {
auto rptt_i = equate<EQUIVALENCE_RELATION_I>(rptt, range, g, opt_sector);
auto rptt_i_rptt = equate<EQUIVALENCE_RELATION_RPTg>(rptt_i, range, g, opt_sector);
return rptt_i_rptt;
}
}
*/
invert() {
let chord = this.current_chord();
if (chord == null) {
return;
}
csound_message_callback(sprintf("invert: chord: %s\n", chord.toString()));
let sectors = chord.opt_domain_sectors();
let sector = sectors.get(0);
csound_message_callback(sprintf("invert: sector: %d\n", sector));
let reflection = chord.reflect(sector).ceiling(1.).eOP();
csound_message_callback(sprintf("invert: reflection: %s\n", reflection.toString()));
this.select_chord(reflection);
} nrr() {
let chord = this.current_chord();
if (chord == null) {
return;
}
chord = chord.nrR();
this.select_chord(chord);
}
nrp() {
let chord = this.current_chord();
if (chord == null) {
return;
}
chord = chord.nrP();
this.select_chord(chord);
}
nrl() {
let chord = this.current_chord();
if (chord == null) {
return;
}
chord = chord.nrL();
this.select_chord(chord);
}
nrs() {
let chord = this.current_chord();
if (chord == null) {
return;
}
chord = chord.nrS();
this.select_chord(chord);
}
nrn() {
let chord = this.current_chord();
if (chord == null) {
return;
}
chord = chord.nrN();
this.select_chord(chord);
}
nrh() {
let chord = this.current_chord();
if (chord == null) {
return;
}
chord = chord.nrH();
this.select_chord(chord);
}
nrd() {
let chord = this.current_chord();
if (chord == null) {
return;
}
chord = chord.nrD() ;
this.select_chord(chord);
}
v1(semitone) {
let chord = this.current_chord();
if (chord == null) {
return;
}
chord = chord.move(0, semitone).eOP();
this.select_chord(chord);
}
v2(semitone) {
let chord = this.current_chord();
if (chord == null) {
return;
}
chord = chord.move(1, semitone).eOP();
this.select_chord(chord);
}
v3(semitone) {
let chord = this.current_chord();
if (chord == null) {
return;
}
chord = chord.move(2, semitone).eOP();
this.select_chord(chord);
}
information() {
let chord = this.current_chord();
if (chord == null) {
return;
}
let text = chord.information();
alert(text);
}
select_chord(chord) {
let ball = this.ball_for_chord(chord);
// Note: "variable == null" is true if the variable is either undefined or null.
if (ball == null) {
return;
}
this.select_ball(ball);
this.view.on_picked_chord(chord);
}
select_ball(ball) {
// Restore the state of a previoiusly picked chord.
if (this.pickedObject !== null) {
this.pickedObject.material.emissive.setHex(this.pickedObjectSavedColor);
this.pickedObject.scale.set(1, 1, 1);
this.pickedObject.material.emissive.multiplyScalar(.5);
}
this.pickedObject = ball;
// Save the state of the picked chord.
this.pickedObjectSavedColor = this.pickedObject.material.emissive.getHex();
this.pickedObject.scale.set(1.5, 1.5, 1.5);
this.pickedObject.material.emissive.multiplyScalar(2.);
this.view.render();
}
pick(normalizedPosition, scene, camera, time) {
try {
// Cast a ray through the view frustum.
this.raycaster.setFromCamera(normalizedPosition, camera);
// Returns the list of the objects that the ray intersects.
const intersectedObjects = this.raycaster.intersectObjects(scene.children);
for (let i = 0; i < intersectedObjects.length; ++i) {
let picked_ = intersectedObjects[i].object;
// We are only interested in objects that have associated chords.
let chord = this.chord_for_ball(picked_);
if (chord == null) {
continue;
} else {
this.select_ball(picked_);
break;
}
}
return this.pickedObject;
} catch(x) {
csound_message_callback("Exception in ChordSpaceController.pick:\n", x.message);
return null;
}
}
}
class ChordSpaceView {
constructor(chord_space_) {
this.chord_space = chord_space_
this.score = null;
this.canvas = null;
this.context = null;
this.scene = null;
this.camera = null;
this.renderer = null;
this.controls = null;
this.major = CsoundAC.chordForName("CM").normal_form();
this.minor = CsoundAC.chordForName("Cm").normal_form();
this.augmented = CsoundAC.chordForName("C+").normal_form();
this.controller = new ChordSpaceController(this);
this.current_chord = null;
this.prior_chord = null;
}
async play_chord() {
let csound_ = await get_csound(csound_message_callback);
if (csound_ == null) {
return;
}
// Stop playing the prior chord.
if (this.prior_chord !== null) {
if (this.current_chord.equals(this.prior_chord)) {
return;
}
for (let voice = 0; voice < this.prior_chord.voices(); ++voice) {
let instrument = 1. + voice;
let time = 0.;
let duration = 0.;
let key = 60. + this.prior_chord.getPitch(voice);
let velocity = 60.;
let x = 0.;
let y = voice / 4.;
let z = 0.;
let event = sprintf("i %9.4f %9.4f %9.4f %9.4f %9.4f %9.4f %9.4f %9.4f \n", -instrument, time, duration, key, velocity, x, y, z);
csound_.ReadScore(event);
}
}
// Start playing the currrent chord.
if (this.current_chord == null) {
return;
} else {
for (let voice = 0; voice < this.current_chord.voices(); ++voice) {
let instrument = 1. + voice;
let time = 0.;
let duration = -100.;
let key = 60 + this.current_chord.getPitch(voice);
let velocity = 60.;
let x = 0.;
let y = voice / 4.;
let z = 0.;
let event = sprintf("i %9.4f %9.4f %9.4f %9.4f %9.4f %9.4f %9.4f %9.4f \n", instrument, time, duration, key, velocity, x, y, z);
csound_.ReadScore(event);
}
}
}
render() {
this.renderer.render(this.scene, this.camera);
}
on_picked_chord(new_chord) {
this.render();
csound_message_callback("Picked chord:\n" + new_chord.information() + "\n");
this.prior_chord = this.current_chord;
this.current_chord = new_chord;
this.play_chord();
}
prepareScene3D() {
let canvas = this.canvas;
canvas.width = canvas.clientWidth;
canvas.height = canvas.clientHeight;
this.scene = new THREE.Scene();
let scene = this.scene;
this.renderer = new THREE.WebGLRenderer({
canvas: this.canvas,
antialias: true
});
let renderer = this.renderer;
renderer.setClearColor(0);
renderer.sortObjects = false;
renderer.setViewport(0, 0, canvas.clientWidth, canvas.clientHeight);
renderer.setPixelRatio(canvas.devicePixelRatio);
// Wire up the view controls to the camera.
this.camera = new THREE.PerspectiveCamera(45, canvas.clientWidth / canvas.clientHeight, 1, 100000);
let camera = this.camera;
this.controls = new THREE.TrackballControls(camera, renderer.domElement);
let controls = this.controls;
controls.rotateSpeed = 1.0;
controls.zoomSpeed = 1;
controls.panSpeed = 1;
controls.noZoom = false;
controls.noPan = false;
controls.staticMoving = true;
controls.dynamicDampingFactor = 0.3;
//controls.keys = [ 65, 83, 68 ];
var chord_space_view = this;
this.canvas.addEventListener("mousemove", function(e) {
chord_space_view.render3D();
});
this.canvas.addEventListener("mousedown", function(e) {
///csound_message_callback(e.toString() + "\n");
clearPickPosition();
setPickPosition(e);
const picked = chord_space_view.controller.pick(pickPosition, chord_space_view.scene, chord_space_view.camera, 0);
let chord = chord_space_view.controller.chord_for_ball(picked);
if (chord == null) {
return;
} else {
chord_space_view.on_picked_chord(chord);
}
});
// Ensure that all sides are lighted.
let light = new THREE.DirectionalLight(0xffffff, 3);
light.position.set(-1, -2, 11).normalize();
this.scene.add(light);
let light2 = new THREE.DirectionalLight(0xffffff, 2);
light2.position.set(2, 1, -22).normalize();
this.scene.add(light2);
var onResize = function() {
canvas.width = canvas.clientWidth;
canvas.height = canvas.clientHeight;
this.renderer.setViewport(0, 0, canvas.clientWidth, canvas.clientHeight);
this.camera.aspect = canvas.clientWidth / canvas.clientHeight;
this.controls.handleResize();
this.camera.updateProjectionMatrix();
this.renderer.render(this.scene, this.camera);
};
window.addEventListener('resize', onResize, false);
}
render3D() {
this.controls.update();
this.camera.updateProjectionMatrix();
this.renderer.render(this.scene, this.camera);
}
plotChord3D(chord) {
let hue;
let saturation;
let value;
let normal_form = chord.normal_form();
if (normal_form.equals(this.augmented)) {
hue = 0.;
saturation = 0.;
value = .75;
} else if (normal_form.equals(this.major)) {
hue = 0.;
saturation = 1.;
value = 1.;
} else if (normal_form.equals(this.minor)) {
hue = 240./360.;
saturation = 1.;
value = 1.;
} else {
hue = (chord.getPitch(0) + chord.getPitch(1) * 2.0 + chord.getPitch(2)) / 44.0;
saturation = 1.0;
value = .2;
}
let color_ = tinycolor.fromRatio({h: hue, s: saturation, v: value}).toHexString();
let emissive_ = tinycolor.fromRatio({h: hue, s: saturation, v: value / 3.}).toHexString();
let specular_ = tinycolor.fromRatio({h: hue, s: saturation / 2, v: value / 3.}).toHexString();
let geometry = new THREE.SphereGeometry(0.125, 12, 12);
let material = new THREE.MeshPhongMaterial( {specular: specular_,
color: color_, emissive: emissive_, side: THREE.DoubleSide} );
let ball = new THREE.Mesh(geometry, material);
ball.position.x = chord.getPitch(0);
ball.position.y = chord.getPitch(1);
ball.position.z = chord.getPitch(2);
this.scene.add(ball);
this.controller.balls_for_chords.set(chord.toString(), ball.id);
this.controller.chords_for_balls.set(ball.id, chord);
///csound_message_callback("plotChord3D: normal_form: " + chord.normal_form().toString() + " chord: " + chord.toString() + "\n");
}
lookAtFullScene3D() {
let bounding_box = new THREE.Box3().setFromObject(this.scene);
this.camera.lookAt(bounding_box.getCenter());
this.camera.fov = 2.5 * Math.atan((bounding_box.getSize().x / (this.canvas.width / this.canvas.height)) / (2 * bounding_box.getSize().y)) * (180 / Math.PI);
this.camera.position.copy(bounding_box.getCenter());
this.camera.position.z = 1.125 * Math.min(bounding_box.getSize().x, bounding_box.getSize().y);
this.camera.position.y = this.camera.position.x * 5;
this.camera.position.x = this.camera.position.x * 4;
this.controls.target.copy(bounding_box.getCenter());
this.controls.update();
this.camera.updateProjectionMatrix();
this.renderer.render(this.scene, this.camera);
}
drawAxes() {
let range = this.chord_space.range * 1.125;
const material = new THREE.LineBasicMaterial( { color: "yellow", linewidth: 5 } );
const geometry = new THREE.Geometry();
geometry.vertices.push(new THREE.Vector3(0, 0, 0), new THREE.Vector3(range, 0, 0), new THREE.Vector3(0, 0, 0), new THREE.Vector3(0, range, 0), new THREE.Vector3(0, 0, 0), new THREE.Vector3(0, 0, range));
const line = new THREE.Line(geometry, material);
this.scene.add(line);
const center_material = new THREE.LineBasicMaterial( { color: "white", linewidth: 5 } );
const center_geometry = new THREE.Geometry();
range = range * .4;
center_geometry.vertices.push(new THREE.Vector3(0, 0, 0), new THREE.Vector3(range, range, range));
const center_line = new THREE.Line(center_geometry, center_material);
this.scene.add(center_line);
}
connect(origin, neighbor) {
if (this.chord_space.contains(neighbor) === false) {
return;
} else {
const material = new THREE.LineBasicMaterial( { color: "green", linewidth: 3, opacity: .25 } );
const geometry = new THREE.Geometry();
geometry.vertices.push(new THREE.Vector3(origin.getPitch(0), origin.getPitch(1), origin.getPitch(2)), new THREE.Vector3(neighbor.getPitch(0), neighbor.getPitch(1), neighbor.getPitch(2)));
const line = new THREE.Line(geometry, material);
this.scene.add(line);
}
}
drawConnections() {
let n = this.chord_space.chords.size();
for (let i = 0; i < n; i++) {
let chord = this.chord_space.chords.get(i);
this.connect(chord, chord.move(0, 1.).eP());
this.connect(chord, chord.move(1, 1.).eP());
this.connect(chord, chord.move(2, 1.).eP());
this.connect(chord, chord.move(0, -1.).eP());
this.connect(chord, chord.move(1, -1.).eP());
this.connect(chord, chord.move(2, -1.).eP());
}
}
draw3D(canvas_) {
this.canvas = canvas_;
this.prepareScene3D(canvas_, this.chord_space);
// Plot the chords.
let n = this.chord_space.chords.size();
for (var i = 0; i < n; i++) {
let chord = this.chord_space.chords.get(i);
this.plotChord3D(chord);
}
this.drawAxes();
this.drawConnections();
this.lookAtFullScene3D();
return canvas;
}
};
</script>
</body>
</html>