PV_ConformalMap: table of contents
Classes | UGens > FFT

PV_ConformalMap : PV_ChainUGen : WidthFirstUGen : UGen : AbstractFunction : Object

Complex plane attack.
Source: FFT2.sc


Applies the conformal mapping

z → (z - a) / (1 - za*)

to the phase vocoder bins z with a given by the real and imag inputs to the UGen.

Makes a transformation of the complex plane so the output is full of phase vocoder artifacts but may be musically fun. Usually keep

|a| < 1

but you can of course try bigger values to make it really noisy.

a = 0

should give back the input mostly unperturbed.

See http://mathworld.wolfram.com/ConformalMapping.html .

Class Methods

PV_ConformalMap.new(buffer, areal: 0, aimag: 0)



FFT buffer.


Real part of a.


Imaginary part of a.

Inherited class methods

Instance Methods

Inherited instance methods


// explore the effect

SynthDef("conformer2", { |out|
    var in, chain, sound;
    in = Mix.ar(LFSaw.ar(SinOsc.kr(Array.rand(3,0.1,0.5),0,10,[1,1.1,1.5,1.78,2.45,6.7]*220),0,0.3));
    chain = FFT(LocalBuf(2048), in);
    chain = PV_ConformalMap(chain, MouseX.kr(0.01,2.0, 'exponential'), MouseY.kr(0.01,10.0, 'exponential'));
    sound = IFFT(chain);

    Out.ar(out, Pan2.ar(CombN.ar(sound, 0.1, 0.1, 10, 0.5, sound), 0, 0.3));

a = Synth("conformer2")

// sound input: use headphones to prevent feedback
SynthDef("conformer1", { |out|
    var in, chain;
    in = SoundIn.ar(0, 0.5);
    chain = FFT(LocalBuf(1024), in);
    chain = PV_ConformalMap(chain, MouseX.kr(-1.0,1.0), MouseY.kr(-1.0,1.0));
    Out.ar(out, Pan2.ar(IFFT(chain), 0));

a = Synth("conformer1")