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Re: Co-sponsoring Turkish notation support


From: Adam Good
Subject: Re: Co-sponsoring Turkish notation support
Date: Mon, 3 Oct 2005 09:07:49 -0400

these are some issues that may have no bearing on anything but i thought i'd throw it into the mix.

Technically (and well, practically speaking as well) in Turkish theory there doesn't exist a semitone that is divided by 100 cents. (the practical aspect often comes in the way that, if you have a scalar passage going up your pitch may be higher than when you are coming down. but that's pretty overgeneralized)

a turkish koma (subdivision of a whole step into exactly 9 parts) is 22.7 cents so it's in the middle

there's this business of having a difference between the pitches Db and C#:

C to D-flat is a cycle of 5 P4; if you do the math this interval is 90.2 cents
90.2 / 22.6 ~ 4 koma

C to C# is a cycle of 7 P5; this interval is 114.7 cents
114.7 / 22.6 ~ 5 koma

On Oct 3, 2005, at 5:47 AM, Han-Wen Nienhuys wrote:

Erik Sandberg wrote:

How about using 180 steps instead of 100? It would have the advantage that it's divisible both by 2 and 9, and the fact that 360 represents a whole note will make it easy to remember; 360 degrees often denotes "the whole" of a circle.


Semitones are divided in 100. (or by definition: 1200  cents to the octave).  It doesn't really matter since it could just as well be a floating point number. We'd have to use shortest distances instead of exact comparisons.


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