Hallo, Derek Holzer hat gesagt: // Derek Holzer wrote:
Still not entirely sure I know what you're after, so at the risk of
repeating myself, use the (just intoned) intervals here:1, 1:1-unison; 2, 135:128-major_chroma; 3, 9:8-major_second; 4, 6:5-minor_third; 5, 5:4-major_third; 6, 4:3-perfect_fourth; 7, 45:32-diatonic_fourth; 8, 3:2-perfect_fifth; 9, 8:5-minor_sixth; 10, 27:16-pyth_major_sixth; 11, 9:5-minor_seventh; 12, 15:8-major_seventh; 13, 2:1-octave;
I.e. major third = 6:5, and 6 divided by 5 is 1.2, so to transpose up a
major third, multiply original frequency by 1.2.Or, 5 divided by 6 is 0.83333333, so multiply by that to transpose down
a major third. Or cook up something with [expr] that does the job more
precisely, like [expr f$1 * (5/6)] etc etc...
Or use the [tunetof] abstraction that is a just intonation version of [mtof] and can load (after conversion) any of the thousands scale descriptions written with Scala: http://www.huygens-fokker.org/scala/
tunetof is in the svn in /abstractions/footils/tunetof
Ciao
Frank