object LatoocarfianL extends Serializable
A linear-interpolating sound generator based on a function given in Clifford Pickover's book Chaos In Wonderland, pg 26. The function is:
x[n+1] = sin(b * y[n]) + c * sin(b * x[n]) y[n+1] = sin(a * y[n]) + d * sin(a * x[n])
According to Pickover, parameters a and b should be in the range from -3 to +3, and parameters c and d should be in the range from 0.5 to 1.5. The function can, depending on the parameters given, give continuous chaotic output, converge to a single value (silence) or oscillate in a cycle (tone). NOTE: This UGen is experimental and not optimized currently, so is rather hoggish of CPU.
Examples
// default initial parameters play { LatoocarfianL.ar(MouseX.kr(20, SampleRate.ir)) * 0.2 }
// randomly modulate all parameters play { LatoocarfianL.ar( SampleRate.ir/4, LFNoise2.kr(2).madd(1.5, 1.5), LFNoise2.kr(2).madd(1.5, 1.5), LFNoise2.kr(2).madd(0.5, 1.5), LFNoise2.kr(2).madd(0.5, 1.5) ) * 0.2 }
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def
ar(freq: GE = Nyquist(), a: GE = 1.0f, b: GE = 3.0f, c: GE = 0.5f, d: GE = 0.5f, xi: GE = 0.5f, yi: GE = 0.5f): LatoocarfianL
- freq
Iteration frequency in Hertz
- a
Equation variable
- b
Equation variable
- c
Equation variable
- d
Equation variable
- xi
Initial value of x
- yi
Initial value of y
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