Re: Writing notes in Pythagorean tuning in microlily

[Hans Åberg]

[Please keep the cc to the lilypond-user list, so that others can follow.]

LilyPond can only handle ETs in the MIDI output, and E53 is a close 
approximation of 5-limit Just Intonation, and also of the tuning Turkish makam 
departs from, so you get that by what I posted.


> On 23 Nov 2019, at 10:23, kupirijo wikipedian <address@hidden> wrote:
> 
> Thank you Hans,
> 
> I will try it out although my question was about Helmholtz-Ellis Just 
> Intonation, so I am not sure what E53 stands for.
> 
> I will let you know soon
> 
> kupirijo
> 
> Στις Παρ, 22 Νοε 2019 στις 7:56 μ.μ., ο/η Hans Åberg <address@hidden> έγραψε:
> 
> > On 22 Nov 2019, at 09:24, kupirijo wikipedian <address@hidden> wrote:
> > 
> > I would like to be able to write notes in Pythagorean tuning with sharps 
> > and flats in microtonal notation using microlily without having to write 
> > e.g. \raise #3/2 B to get an F#
> …
> > Please note that I am using the documentation notes written at 
> > http://x31eq.com/lilypond/
> 
> Attaching files that demonstrate the intended use. Just typeset 
> regularE53test.ly with regularE53.ly and regular.ly in the same directory.
> 
> > A more extreme example would be when I would like to notate 2 consecutive 
> > fifths e.g. F# C# G#,
> 
> It retunes the MIDI file around C4 to E53, which is a close approximation of 
> Pythagorean tuning. So Pythagorean intervals need no special notation, but Gb 
> is one comma (E53 tonestep) lower than F#. If you want Just Intonation, then 
> the major thirds must be lowered and the minor thirds raised a comma. So in C 
> major that is C D E- F G A- B- C’, which in the file is c d ed f g ad bd c'.
>