On 10 Sep 2009, at 11:45, Torsten Anders wrote:
I understand you point about only 2 step sizes and your interested
to extend the number of steps available. I assume this approach is
particularly suitable for music that is primarily melodic (which is
the case for Persian and Turkish), and if you disregard ornamental
pitch inflections.
For music based on harmony, however, your point is not true. There
are already more than two step sizes (e.g., 9:8 vs 10:9), even in
conventional Western music (except for keyboards etc.). One
application of Helmholtz-Ellis and Sagittal notation is to
accurately notate the pitch inflections that occur in conventional
Western music.
Just add as many neutrals as you want. Each one can typically cover
another partial, and generates 4 intermediate pitch accidentals.
So for Just notation, one needs to add (in Pythagorean tuning) one
neutral which is one syntonic comma below M. One description of
Persian music is adding a double syntonic comma over m. In the first
case, one will also add a symbol for the dual neutral, which is a
syntonic comma over m.
So the notation for Persian music, tied to this description in this
particular tuning, can be described by a double accidental in the Just
notation. The reason one does not do that is that it has different
musical function - in fact Persian music is not tied to a specific
tuning, just as Western music notation isn't.
Hans
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