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From: | Hans Aberg |
Subject: | Re: Lilypond's internal pitch representation and microtonal notation |
Date: | Tue, 21 Sep 2010 16:41:15 +0200 |
On 21 Sep 2010, at 14:16, Carl Sorensen wrote:
It seems to me that the pitches natural+1/4 and sharp - 1/4 are the samepitch (i.e. enharmonic equivalents) and that it is appropriate to have either one represent the same pitch.
Arab music uses E24 quarter-tone accidentals, though the actual tuning may be different. For example, in E53 use m = 4, M = 9 (Pythagorean tuning), and n = 6 (same as one Persian interpretation). Then one gets an accidental "+" equal to n-m = 2 and another "-" which is n-M = -3. The sharp # is M-m = 5. So here the accidental "+" is the same as a # + "-".
One may also use accidentals for m-n = -2 and M-n = 3. Then "+" is different from # + (m-n) = 3. This happens in Turkish music, though they use n = 5.
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