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Re: Writing notes in Pythagorean tuning in microlily


From: Hans Åberg
Subject: Re: Writing notes in Pythagorean tuning in microlily
Date: Fri, 22 Nov 2019 20:56:17 +0100

> 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'.

Attachment: regular.ly
Description: Binary data

Attachment: regularE53.ly
Description: Binary data

Attachment: regularE53test.ly
Description: Binary data


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