de.sciss.synth.ugen

HenonL

object HenonL extends Serializable

A linear-interpolating sound generator based on the difference equation:

x[n+2] = 1 - a * pow(x[n+1], 2) + b * x[n]

This equation was discovered by French astronomer Michel Hénon while studying the orbits of stars in globular clusters.

Examples
// default initial parameters
play { HenonL.ar(MouseX.kr(20, SampleRate.ir)) * 0.2 }
// mouse-control of parameters
play { HenonL.ar(SampleRate.ir/4, MouseX.kr(1,1.4), MouseY.kr(0,0.3)) * 0.2 }
// randomly modulate parameters
play {
  HenonL.ar(
    SampleRate.ir/8,
    LFNoise2.kr(1).madd(0.2, 1.2),
    LFNoise2.kr(1).madd(0.15, 0.15)
  ) * 0.2
}
// as a frequency control
play { SinOsc.ar(HenonL.ar(40, MouseX.kr(1, 1.4), MouseY.kr(0, 0.3)) * 800 + 900) * 0.4 }
See also

HenonC

HenonL

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  6. def ar(freq: GE = Nyquist(), a: GE = 1.4f, b: GE = 0.3f, x0: GE = 0.0f, x1: GE = 0.0f): HenonL

    freq

    Iteration frequency in Hertz

    a

    Equation variable

    b

    Equation variable

    x0

    Initial value of x

    x1

    Second value of x

  7. def ar: HenonL

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