On 10 Dec 2008, at 12:47, Graham Breed wrote:
Perhaps you mean the between a sharp and a flattened M, like
between F# and
Gb, which may be positive or negative. Since I do not impose any such
relations, those are not confused.
Yes, that's the one. If you only record pitches with M and m they
will be confused because m=m. The diesis above C# (let's call it C#^)
will come out the same as Db. If I asked for C#^ maybe you'll give me
Db.
This is because you do not know how to work out the diatonic values.
C to C# is M - m, and C to Db is m, so C# - Db = M - 2m, the same as
the definition of a comma in Pythagorean tuning.
One can see this by computing the scale degree d, which are unchanged
by accidentals. So d(C#) = d(C), and d(Db) = d(D), so d(C# - Db) = 0
- 1 = -1. Since this is nonzero, commas are nit confused.
In fact, it is the other way around, for example E12 confuses scale
degrees, because F# = Gb. This is however not a problem, as the
Western notation system is diatonic, forcing one to write one of
them. Then one can confuse them if called for.
Hans
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