Re: specific temperament and pitch

[Hans Aberg]

On 10 Feb 2008, at 10:31, neuro wrote:

> Since there are possible different tuning systems (for example, 12- 
> equaal temperament, just intonation, etc), and tuning pitch (for  
> example, A=440, 442 etc.)
> is it possible to assign specific pitches to specific notes,
> in Lilypond.

By some funny coincidence, except for the tuning pitch, I just asked  
help to fix this for n-ET (see other thread). The current state of  
the matter, is that you can produce n = multiples 12 - see the  
Turkish makam example in "Snippets", "Pitches" (search for "micro").

In general, if the Western staff line system and key signatures  
should be interpreted as pitches, then it must be a true diatonic  
scale. A scale like the Just Intonation defined by rational intervals  
is in reality tritonic, made up of a minor second m, and two majors  
seconds of different sizes. So it is probably better to find an n-ET  
approximation, such as 31-ET, or notate it with intermediate pitches  
against a true diatonic scale, like in the Sagittal music notation  
system.

  Hans Åberg