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object LFGauss extends Serializable

A non-band-limited gaussian function oscillator UGen. Output ranges from minVal to 1. It implements the formula:

f(x) = exp((x - phase).squared / (-2 * width.squared))

where x is to vary in the range -1 to 1 over the period dur . minVal is the initial value at -1. E.g. for default parameters, it is exp(-50) or roughly zero.

Examples
// dur and width can be modulated at audio rate
play {
  val dur = SinOsc.ar(MouseX.kr(2, 1000, 1) * Seq(1.0, 1.1)).linLin(-1, 1, 0.0006, 0.01)
  val width = SinOsc.ar(Seq(0.5, 0.55)).linLin(-1, 1, 0.01, 0.3)
  LFGauss.ar(dur, width) * 0.2
}
// several frequencies and widths combined
play {
  val x    = MouseX.kr(1, 0.07, 1)
  val y    = MouseY.kr(1, 3)
  val mod  = LFGauss.ar(x, (-1 to -6 by -1).map(i => y.pow(i)))
  val carr = SinOsc.ar((0 to 5).map(i => 200 * 1.3.pow(i)))
  Mix(carr * mod) * 0.1
}
// test spectrum
play {
  val son = LeakDC.ar(LFGauss.ar(0.005, 0.2))
  BPF.ar(son * 3, MouseX.kr(60, 2000, 1), 0.05)
}
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  4. def ar(dur: GE = 1.0f, width: GE = 0.1f, phase: GE = 0.0f, loop: GE = 1, doneAction: GE = doNothing): LFGauss

    dur

    duration in seconds of a full -1 <= x <= 1 cycle, or the reciprocal of the frequency

    width

    relative width of the bell. Best to keep below 0.25 when used as envelope.

    phase

    phase offset

    loop

    if greater than zero, the UGen oscillates. Otherwise it calls doneAction after one cycle.

    doneAction

    evaluated after cycle completes

  5. def ar: LFGauss
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  14. def kr(dur: GE = 1.0f, width: GE = 0.1f, phase: GE = 0.0f, loop: GE = 1, doneAction: GE = doNothing): LFGauss

    dur

    duration in seconds of a full -1 <= x <= 1 cycle, or the reciprocal of the frequency

    width

    relative width of the bell. Best to keep below 0.25 when used as envelope.

    phase

    phase offset

    loop

    if greater than zero, the UGen oscillates. Otherwise it calls doneAction after one cycle.

    doneAction

    evaluated after cycle completes

  15. def kr: LFGauss
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