GEN51
GEN51 — This subroutine fills a table with a fully customized micro-tuning scale, in the manner of Csound opcodes cpstun, cpstuni and cpstmid.
Description
This subroutine fills a table with a fully customized micro-tuning scale, in the manner of Csound opcodes cpstun, cpstuni et cpstmid
Syntax
f # time size -51 numgrades interval basefreq basekey tuningRatio1 tuningRatio2 .... tuningRationN
Performance
The first four parameters (i.e. p5, p6, p7 and p8) define the following generation directives:
p5 (numgrades) -- the number of grades of the micro-tuning scale
p6 (interval) -- the frequency range covered before repeating the grade ratios, for example 2 for one octave, 1.5 for a fifth etcetera
p7 (basefreq) -- the base frequency of the scale in cps
p8 (basekey) -- the integer index of the scale to which to assign basefreq unmodified
The other parameters define the ratios of the scale:
p9...pN (tuningRatio1...etc.) -- the tuning ratios of the scale
For example, for a standard 12-grade scale with the base-frequency of 261 cps assigned to the key-number 60, the corresponding f-statement in the score to generate the table should be:
; numgrades basefreq tuning-ratios (eq.temp) ....... ; interval basekey f1 0 64 -51 12 2 261 60 1 1.059463 1.12246 1.18920 ..etc...
After the gen has been processed, the table f1 is filled with 64 different frequency values. The 60th element is filled with the frequency value of 261, and all other elements (preceding and subsequents) of the table are filled according to the tuning ratios
Another example with a 24-grade scale with a base frequency of 440 assigned to the key-number 48, and a repetition interval of 1.5:
; numgrades basefreq tuning-ratios ..... ; interval basekey f1 0 64 -51 24 1.5 440 48 1 1.01 1.02 1.03 ..etc...
Examples
Here is an example of the GEN51 routine. It uses the files Play gen51.csd
Example 1313. An example of the GEN51 routine.
<CsoundSynthesizer> <CsOptions> ; Select audio/midi flags here according to platform -odac -M0 ;;;realtime audio out and midi input ;-iadc ;;;uncomment -iadc if realtime audio input is needed too ; For Non-realtime ouput leave only the line below: ; -o gen51.wav -W ;;; for file output any platform </CsOptions> <CsInstruments> ;example by Iain McCurdy sr = 44100 ksmps = 32 nchnls = 2 0dbfs = 1 giEqTmp12 ftgen 1,0,128,-51,12,2,cpsoct(8),60,1,2^(1/12),2^(2/12),2^(3/12),2^(4/12),2^(5/12),2^(6/12),2^(7/12),2^(8/12),2^(9/12),2^(10/12),2^(11/12),2^(12/12) giEqTmp10 ftgen 2,0,128,-51,10,2,cpsoct(8),60,1,2^(1/10),2^(2/10),2^(3/10),2^(4/10),2^(5/10),2^(6/10),2^(7/10),2^(8/10),2^(9/10),2^(10/10) giEqTmp24 ftgen 3,0,128,-51,24,2,cpsoct(8),60,1,2^(1/24),2^(2/24),2^(3/24),2^(4/24),2^(5/24),2^(6/24),2^(7/24),2^(8/24),2^(9/24),2^(10/24),2^(11/24), \ 2^(12/24),2^(13/24),2^(14/24),2^(15/24),2^(16/24),2^(17/24),2^(18/24),2^(19/24),2^(20/24),2^(21/24),2^(22/24),2^(23/24),2^(24/24) instr 1 ;midi input instrument /*USE PITCH BEND TO MODULATE NOTE NUMBER UP OR DOWN ONE STEP - ACTUAL INTERVAL IT WILL MODULATE BY WILL BE DEPENDENT UPON THE GEN51 SCALE USED*/ ;kbend pchbend 0,2 /*ALTERNATIVELY IF USING VIRTUAL MIDI DEVICE OR A KEYBOARD WITH NO PITCH BEND WHEEL, USE CONTROLLERS 1 AND 2 TO MODULATE PITCH UP OR DOWN 1 STEP*/ kup ctrl7 1, 1, 0, 1 kdown ctrl7 1, 2, 0, -1 kbend = kup+kdown inum notnum kcps tablei inum+kbend, giEqTmp24 ;read cps values from GEN51, scale table using a combination of note played and pitch bend/controllers 1 and 2 a1 vco2 0.2, kcps, 4, 0.5 outs a1, a1 endin instr 2 ;score input instrument knum line p4, p3, p5 ;gliss using a straight line bewteen p4 and p5 for the entire note duration kcps tablei knum, giEqTmp24 ;read cps values from GEN51 scale table a1 vco2 0.2, kcps, 4, 0.5 outs a1, a1 endin </CsInstruments> <CsScore> f 0 3600 ;instr 2. Score input. Gliss from step number p4 to step number p5 ;p4 - starting note number ;p5 - ending note number i 2 0 2 60 61 i 2 + 2 70 58 i 2 + 2 66 66.5 i 2 + 2 71.25 71 e </CsScore> </CsoundSynthesizer>
These are the diagrams of the waveforms of the GEN51 routines, as used in the example:
f 1 0 128 -51 12 2 cpsoct(8) 60 1 2^(1/12) 2^(2/12) 2^(3/12) 2^(4/12) 2^(5/12) 2^(6/12) 2^(7/12) 2^(8/12) 2^(9/12) 2^(10/12) 2^(11/12) 2^(12/12)
f 2 0 128 -51 10 2 cpsoct(8) 60 1 2^(1/10) 2^(2/10) 2^(3/10) 2^(4/10) 2^(5/10) 2^(6/10) 2^(7/10) 2^(8/10) 2^(9/10) 2^(10/10)
f 3 0 128 -51 24 2 cpsoct(8) 60 1 2^(1/24) 2^(2/24) 2^(3/24) 2^(4/24) 2^(5/24) 2^(6/24) 2^(7/24) 2^(8/24) 2^(9/24) 2^(10/24) 2^(11/24) 2^(12/24) 2^(13/24) 2^(14/24) 2^(15/24) 2^(16/24) 2^(17/24) 2^(18/24) 2^(19/24) 2^(20/24) 2^(21/24) 2^(22/24) 2^(23/24) 2^(24/24)