GEN30 — Generates harmonic partials by analyzing an existing table.
src -- source ftable
minh -- lowest harmonic number
maxh -- highest harmonic number
ref_sr (optional) -- maxh is scaled by (sr / ref_sr). The default value of ref_sr is sr. If ref_sr is zero or negative, it is now ignored.
interp (optional) -- if non-zero, allows changing the amplitude of the lowest and highest harmonic partial depending on the fractional part of minh and maxh. For example, if maxh is 11.3 then the 12th harmonic partial is added with 0.3 amplitude. This parameter is zero by default.
GEN30 does not support tables with an extended guard point (ie. table size = power of two + 1). Although such tables will work both for input and output, when reading source table(s), the guard point is ignored, and when writing the output table, guard point is simply copied from the first sample (table index = 0).
The reason of this limitation is that GEN30 uses FFT, which requires power of two table size. GEN32 allows using linear interpolation for resampling and phase shifting, which makes it possible to use any table size (however, for partials calculated with FFT, the power of two limitation still exists).
Here is an example of the GEN30 routine. It uses the files Play gen30.csd
Example 1302. Example of the GEN30 routine.
See the sections Real-time Audio and Command Line Flags for more information on using command line flags.
<CsoundSynthesizer> <CsOptions> ; Select audio/midi flags here according to platform ; Audio out Audio in No messages -odac ;;;realtime audio out ; For Non-realtime ouput leave only the line below: ; -o gen30.wav -W ;;; for file output any platform </CsOptions> <CsInstruments> ;a simplified example of Istvan Varga sr = 44100 ksmps = 32 nchnls = 2 0dbfs = 1 isaw ftgen 1, 0, 16384, 7, 1, 16384, -1 ;sawtooth wave iFM ftgen 3, 0, 4096, 7, 0, 512, 0.25, 512, 1, 512, 0.25, 512, \ 0, 512, -0.25, 512, -1, 512, -0.25, 512, 0 ;FM waveform iAM ftgen 4, 0, 4096, 5, 1, 4096, 0.01 ;AM waveform iEQ ftgen 5, 0, 1024, 5, 1, 512, 32, 512, 1 ;FM to EQ isine ftgen 6, 0, 1024, 10, 1 ;sine wave /* generate bandlimited sawtooth waves */ i0 = 0 loop1: imaxh = sr / (2 * 440.0 * exp(log(2.0) * (i0 - 69) / 12)) i_ ftgen i0 + 10, 0, 4096, -30, 1, 1, imaxh ;use gen 30 i0 = i0 + 1 if (i0 < 127.5) igoto loop1 instr 1 kcps = 440.0 * exp(log(2.0) * (p4 - 69) / 12) ;note frequency klpmaxf limit p5 * kcps, 1000.0, 12000.0 ;lowpass max. frequency kfmd1 = 0.03 * kcps ;FM depth in Hz kamfr = kcps * 0.02 ;AM frequency kamfr2 = kcps * 0.1 kfnum = (10 + 69 + 0.5 + 12 * log(kcps / 440.0) / log(2.0)) ;table number aenv linseg 0, p3*0.25, 1, p3*0.75, 0 ;amp. envelope asig oscbnk kcps, 0.0, kfmd1, 0.0, 40, 200, 0.1, 0.2, 0, 0, 144, \ 0.0, klpmaxf, 0.0, 0.0, 1.5, 1.5, 2, kfnum, 3, 0, 5, 5, 5 asig = asig * aenv*.03 outs asig, asig endin </CsInstruments> <CsScore> s i 1 0 6 41 10 i 1 0 6 60 i 1 0 6 65 i 1 0 6 69 s i 1 0 6 41 64 i 1 0 6 60 i 1 0 6 65 i 1 0 6 69 e </CsScore> </CsoundSynthesizer>