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gendyx

Variation of the dynamic stochastic approach to waveform synthesis conceived by Iannis Xenakis.

gendyx (gendy eXtended) is an implementation of the Génération Dynamique Stochastique (GENDYN), a dynamic stochastic approach to waveform synthesis conceived by Iannis Xenakis, using curves instead of segments.

Syntax

ares = gendyx(kamp, kampdist, kdurdist, kadpar, kddpar, kminfreq, kmaxfreq, \
              kampscl, kdurscl, kcurveup, kcurvedown [, initcps] [, knum])
kres = gendyx(kamp, kampdist, kdurdist, kadpar, kddpar, kminfreq, kmaxfreq, \
              kampscl, kdurscl, kcurveup, kcurvedown [, initcps] [, knum])

ares gendyx kamp, kampdist, kdurdist, kadpar, kddpar, kminfreq, kmaxfreq, \
            kampscl, kdurscl, kcurveup, kcurvedown [, initcps] [, knum]
kres gendyx kamp, kampdist, kdurdist, kadpar, kddpar, kminfreq, kmaxfreq, \
            kampscl, kdurscl, kcurveup, kcurvedown [, initcps] [, knum]

Initialization

initcps (optional, default=12) -- max number of control points.

Performance

kamp -- amplitude.

kampdist -- choice of probability distribution for the next perturbation of the amplitude of a control point. The valid distributions are:

  • 0 - LINEAR
  • 1 - CAUCHY
  • 2 - LOGIST
  • 3 - HYPERBCOS
  • 4 - ARCSINE
  • 5 - EXPON
  • 6 - SINUS (external k-rate signal)

If kampdist=6, the user can use an external k-rate signal through kadpar.

kdurdist -- choice of distribution for the perturbation of the current inter control point duration. See kampdist for the valid distributions. If kdurdist=6, the user can use an external k-rate signal through kddpar.

kadpar -- parameter for the kampdist distribution. Should be in the range of 0.0001 to 1.

kddpar -- parameter for the kdurdist distribution. Should be in the range of 0.0001 to 1.

kminfreq -- minimum allowed frequency of oscillation.

kmaxfreq -- maximum allowed frequency of oscillation.

kampscl -- multiplier for the distribution's delta value for amplitude (1.0 is full range).

kdurscl -- multiplier for the distribution's delta value for duration.

kcurveup -- controls the curve for the increasing amplitudes between two points; it has to be non negative.

  • 0: step function (like a sample & hold)
  • <1: concave
  • 1: linear (like gendy)
  • >1: convex

kcurvedown -- controls the curve for the decreasing amplitudes between two points; it has to be non negative.

  • 0: step function
  • <1: convex
  • 1: linear
  • >1: concave

knum (optional, default=initcps) -- current number of utilized control points.

The waveform is generated by knum - 1 curves and is repeated in the time. The vertexes (control points) are moved according to a stochastic action and they are limited within the boundaries of a mirror formed by an amplitude barrier and a time barrier.

[Extract of a waveform generated with _gendyx_.]
Extract of a waveform generated with _gendyx_.

Examples

Here is an example of the gendyx opcode. It uses the file gendyx.csd.

Example of the gendyx opcode.
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<CsoundSynthesizer>
<CsOptions>
; Select audio/midi flags here according to platform
-odac     ;;;realtime audio out
;-iadc    ;;;uncomment -iadc if realtime audio input is needed too
; For Non-realtime ouput leave only the line below:
; -o oscil.wav -W ;;; for file output any platform
</CsOptions>
<CsInstruments>

sr = 44100
ksmps = 32
nchnls = 2
0dbfs  = 1

instr 1

aout gendyx 0.7, 1, 1, 1, 1, 20, 1000, 0.5, 0.5, 4, 0.13
outs aout, aout

endin
</CsInstruments>
<CsScore>
i1 0 10
e
</CsScore>
</CsoundSynthesizer>

Here is an example of the gendyx opcode with some modulations. It uses the file gendyx-2.csd.

Example of the gendyx opcode with some modulations.
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<CsoundSynthesizer>
<CsOptions>
; Select audio/midi flags here according to platform
-odac     ;;;realtime audio out
;-iadc    ;;;uncomment -iadc if realtime audio input is needed too
; For Non-realtime ouput leave only the line below:
; -o oscil.wav -W ;;; for file output any platform
</CsOptions>
<CsInstruments>

sr = 44100
ksmps = 32
nchnls = 2
0dbfs  = 1

instr 1
kenv expseg 0.001, p3*0.05, 0.5, p3*0.9, 0.5, p3*0.05, 0.001
kc1  linseg 1, p3/2, 12, p3/2, 3
kc2  random 0, 4
seed 20120124
asig gendyx kenv, 1, 3, 0.7, 0.8, 120, 4300, 0.2, 0.7, kc1, kc2, 12, kc1
aout dcblock asig
outs aout, aout
endin
</CsInstruments>
<CsScore>
i1 0 20
e
</CsScore>
</CsoundSynthesizer>

References

  1. Formalized Music (1992, Stuyvesant, NY: Pendragon Press), pp. 246 - 254, 289 - 322.

See Also

Models and Emulations, gendyc, gendy

Credits

Variation of the Nick Collins's Gendy1 ugen (SuperCollider)
Author: Tito Latini
January 2012

New in Csound version 5.16