> On 24 Nov 2019, at 19:05, Graham Breed <[email protected]> wrote: > > On 24/11/2019, Hans Åberg <[email protected]> wrote: >> >>> On 24 Nov 2019, at 11:57, Graham Breed <[email protected]> wrote: >>> >>> LilyPond can easily handle multiple generators with alternative pitch >>> names. I've had "tripod notation" support with 3 generators for >>> several years. It does mean alternative pitch names, though, rather >>> than regular transformations of (any of) the standard names. Or >>> Scheme code to retune pitches, like I did for Sagittal JI and Extended >>> Helmholtz-Ellis. >> >> Whatever rational numbers assigned to the accidentals and how many, one only >> gets one generator, unless there has been an extension lately. Perhaps you >> expect not transposing too far? > > I had tripod notation working in 2009. This is a rank 3 system, so > two octave-equivalent generators. Here's the lilypond-book document I > made: > > http://x31eq.com/magic/tripod.pdf
I was not able to understand what this system does from this, despite trying several times. Perhaps you can give a more compact description. If one takes multiples of accidentals represented by rational numbers, they will meet, which will not happen if they are independent as in a higher rank system. So you probably do not consider such higher multiples. For example, if one takes a double comma accidental in E53, as for Persian or Arabic music, then two of them in succession will be the same as a sharp lowered by a comma and notated as such in LilyPond. Then one can separate them by more complicated rational numbers, but not eliminate the phenomenon.
