Re: Create 16th-century microtonal accidental

[Hans Åberg]

> On 2 Sep 2022, at 10:24, Johannes Keller <johannkell@gmail.com> wrote:
> 
> I would like to use Lilypond for a critical edition of Nicola
> Vicentino's treatise "L'antica musica" (Rome 1555). The original
> notation uses an unconventional accidental to indicate a pitch
> modification of a "Diesis" (ca. 1/5 of a whole tone).
…
> Examples of the original notation can be found here, see for example
> fol. 12v (PDF p. 24):
> 
> http://vmirror.imslp.org/files/imglnks/usimg/9/94/IMSLP114662-PMLP210243-lantica_musica.pdf

In case you would want to translate into modern microtonal notation:

The enharmonic diesis 128/125, the difference between an octave 2 and three 
Just Intonation major thirds 5/4, is actually an interval of relative scale 
degree 1, not an accidental, or an interval of relative scale degree 0.

So this means that if this old manuscript, where the enharmonic diesis is 
written as an accidental, is translated into modern Helmholtz-Ellis notation, 
the note ends on the position one above in the staff notation, with a triple 
raised syntonic comma 81/80, combined with some other accidental like a flat or 
double flat.