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From: | Keith OHara |
Subject: | Re: turkish accidental "eksik bakiye" missing in emmentaler font |
Date: | Wed, 27 Nov 2013 18:54:58 -0800 |
User-agent: | Opera Mail/12.16 (Win32) |
Philippe Ploquin <philippeploquin <at> neuf.fr> writes:The accidental called "eksik bakiye" is missing in lilypond.
On Wed, 27 Nov 2013 12:08:02 -0800, Hans Aberg <address@hidden> wrote:
In the Ph.D. thesis by Ozan Yarman, "79-tone tuning & theory for Turkish maqam music", p. 90 (PDF 106), he mentions the “eksik bakiye” or "diminished limma" of AEU. Looking a bit further in the tables, AEU apparently uses Pythagorean limit only, that is 3-limit, and not 5-limit. So it should be a Pythagorean comma, it seems, though in E53 approximations, the values become the same.
I see. This thesis has the 'eksik bakiye' altering the frequency of the pitch by a fraction 3^17 / 2^27. That would seem to be motivated by mathematics rather than traditional harmony. There is not one example in that thesis of its use in music, so it must be very rare. Since 'makam.ly' has the flat of the same size, it makes sense to have the sharp just in case transpose. Also, the same glyph is used in Sabat's version of Helmholtz-Ellis notation, so it seems generally useful.
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