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generator.period notation

🔗Gene Ward Smith <gwsmith@svpal.org>

4/15/2005 10:43:32 PM

It's too bad Manuel doesn't seem to be around, because this is a
suggestion for Scala. Instead of these various and increasingly
baroque notation systems, Scala could implement a *general* notation.
In the seq file or by command, Scala could be told the division is N,
the generator
g (so that it is g/N octaves) and the period P. A note is notated by
a.b, where "a" is a generators, reduced mod the period, and b is the
number of periods up or down. If the period P is 1, so that the period
is an octave, this is simply the octave number.

Hence in meantone, for C we would have 0.0, for C1 0.1, for G we would
have 1.0 assuming fifths as generators, and so forth. This can be used
to notate any equal temperament which supports a given r2 (rank two)
temperament, and has the crucial property that a MOS and an equal
temperament are notated in the same way.

Manuel?

🔗Gene Ward Smith <gwsmith@svpal.org>

4/20/2005 8:37:18 PM

--- In tuning-math@yahoogroups.com, "Gene Ward Smith" <gwsmith@s...>
wrote:
>
> It's too bad Manuel doesn't seem to be around, because this is a
> suggestion for Scala.

Manuel says he is pondering how to implement it. This is good, because
while he'll buy whatever people come up with for 441 saggital, he's
wants notations to be consistent with other Scala notations, whatever
that entails. I think this kind of blows away the ennealimmal project.