From: Hans Aberg (haberg@math.su.se)
Date: Sun Feb 01 2009 - 14:55:02 CST
On 1 Feb 2009, at 20:06, Behnam wrote:
> To give you a vague idea (as vague as mine) imagine the black keys
> on the piano are joined to the white keys (half tones) and quarter
> tones on top of it.
Though one does not agree on the exact tuning, one agrees they are not
exact E12 quarter tones, but lowered a bit, and traditionally the
Pythagorean tuning (or E53) which in itself causes the keys become
split, as on Renaissance keyboards - the minor (resp. major) second is
4 (resp. 9) commas (E53 tonesteps); so two half-tones is one comma
short of a whole tone.
Farhat's values gives interpreted into E53: koron lowering 3 commas
and sori raising 2 commas. One can reinterpret it (see LilyPond User
list) into E36: E12 where koron lowers 2/3 semitones and sori raises
1/3 semitone.
LilyPond now has the capability to typeset these, if one can get hold
of glyphs, and produce correctly tuned MIDI files.
Hans
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