GEN19 — Generate composite waveforms made up of weighted sums of simple sinusoids.
These subroutines generate composite waveforms made up of weighted sums of simple sinusoids. The specification of each contributing partial requires 4 pfields using GEN19.
size  number of points in the table. Must be a power of 2 or powerof2 plus 1 (see f statement).
pna, pnb, etc.  partial no. (relative to a fundamental that would occupy size locations per cycle) of sinusoid a, sinusoid b, etc. Must be positive, but need not be a whole number, i.e., nonharmonic partials are permitted. Partials may be in any order.
stra, strb, etc.  strength of partials pna, pnb, etc. These are relative strengths, since the composite waveform may be rescaled later. Negative values are permitted and imply a 180 degree phase shift.
phsa, phsb, etc.  initial phase of partials pna, pnb, etc., expressed in degrees.
dcoa, dcob, etc.  DC offset of partials pna, pnb, etc. This is applied after strength scaling, i.e. a value of 2 will lift a 2strength sinusoid from range [2,2] to range [0,4] (before later rescaling).
Note  


Here is an example of the GEN19 routine. It uses the files gen19.csd.
Example 1319. An example of the GEN19 routine.
<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 Nonrealtime ouput leave only the line below: ; o gen19.wav W ;;; for file output any platform </CsOptions> <CsInstruments> sr = 44100 ksmps = 32 nchnls = 2 0dbfs = 1 instr 1 ;p4 = transposition factor ;p5 = speed factor ;p6 = function table for grain data i1 = sr/ftlen(1) ;scaling to reflect sample rate and table length a1 phasor i1*p5 ;index for speed asigl fog .5, 15, p4, a1, 1, 0, .01, .5, .01, 30, 1, 2, p3 ;left channel asigr fog .4, 25, p4+.2, a1, 1, 0, .01, .5, .01, 30, 1, 2, p3, .5 ;right channel outs asigl, asigr endin </CsInstruments> <CsScore> f 1 0 131072 1 "fox.wav" 0 0 0 f 2 0 1024 19 .5 .5 270 .5 i 1 0 10 .7 .1 i 1 + 4 1.2 2 e </CsScore> </CsoundSynthesizer>
This is the diagram of the waveform of the GEN19 routines, as used in the example: