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/* | ||
Kaprekar | ||
Take any four-digit number except multiples of 1111. Sort the digits. Make numbers of the digits in ascending and in descending order. Repeat with the difference. After no more than 7 steps you will reach 6174, Kaprekar's Constant. | ||
If you use three-digit numbers, you will get 495 in no more than 6 steps. | ||
*/ | ||
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s.boot; | ||
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( | ||
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//Synthdefs: sinewaves for numbers, with pan | ||
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SynthDef( \numbers, {|freq=30, panpos| | ||
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Out.ar(0, | ||
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Pan2.ar(SinOsc.ar(freq, mul: 0.5*EnvGen.kr(Env.linen(0.01, 0.1, 0.01, 0.6), doneAction: 2)),panpos) | ||
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) | ||
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}).add; | ||
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//sawtooth for digits, filter associated with number of repetitions | ||
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SynthDef( \digitsplayer, {|freq=30, cutoff| | ||
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Out.ar(0, | ||
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Pan2.ar(LPF.ar(Saw.ar(freq, mul: 0.5*EnvGen.kr(Env.perc(0.01,0.75), doneAction: 2)), cutoff),0) | ||
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) | ||
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}).add; | ||
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) | ||
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( | ||
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var number, theNumber, greatest, smallest; | ||
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var digits=Array.newClear(4); | ||
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{ | ||
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g=0; //greatest number of repetitions | ||
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for (1, 9998, { arg i; | ||
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if ( i.mod(1111)!= 0, { | ||
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number = i; | ||
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number.postln; | ||
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theNumber=number; //theNumber is used to be able to mess with the value while retaining the value of number | ||
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if (theNumber < 150, {theNumber = theNumber + 150}); | ||
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o=Synth( \numbers, [freq: theNumber/5, panpos: 0]); | ||
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0.1.wait; | ||
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a=0; //number of repetitions | ||
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while ( {number != 6174}, { | ||
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digits.put(0, number.mod(10)); //isolate digits | ||
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number=number.div(10); | ||
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digits.put(1, number.mod(10)); | ||
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number=number.div(10); | ||
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digits.put(2, number.mod(10)); | ||
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number=number.div(10); | ||
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digits.put(3, number.mod(10)); | ||
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digits.sort; //sort digits | ||
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//digits.postln; | ||
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greatest=(1000*digits[3])+(100*digits[2])+(10 * digits[1]) + digits[0]; | ||
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greatest.post; " ".post; | ||
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smallest=digits[3] + (10*digits[2])+(100*digits[1])+(1000*digits[0]); | ||
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smallest.post; " ".post; | ||
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//(digits.mirror2+60).postln; | ||
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//play the digits | ||
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Pbind( | ||
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\instrument, \digitsplayer, | ||
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\freq, Pseq(digits.mirror2+60).midicps, | ||
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\cutoff, 500*(a+1), | ||
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\dur, 0.1 | ||
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).play; | ||
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0.8.wait; | ||
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//play greatest and smallest | ||
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if (smallest < 150, {smallest = smallest + 150; | ||
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greatest = greatest + 150}); | ||
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o=Synth( \numbers, [freq: smallest/5, panpos: -1]); | ||
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p=Synth( \numbers, [freq: greatest/5, panpos: 1]); | ||
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0.1.wait; | ||
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number=greatest-smallest; | ||
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theNumber=number; | ||
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if (theNumber < 150, {theNumber = theNumber + 150}); | ||
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o=Synth( \numbers, [freq: theNumber/5, panpos: 0]); | ||
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number.postln; | ||
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0.1.wait; | ||
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a=a+1; | ||
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}); | ||
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a.postln; | ||
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if (a>g, {g=a}); | ||
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}); | ||
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}); | ||
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g.postln; | ||
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}.fork; | ||
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) |
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