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re: constant structures (?)

🔗Carl Lumma <clumma@xxx.xxxx>

9/27/1999 5:05:46 PM

>>>OK, but the point is, you will find many CS scales that are not strictly
>>>proper.
>>
>>By the old (incorrect) definition of CS, yes.
>
>Carl, how could you fail to see the implication of Kraig's example, which
>you yourself tie to the propriety issue:

What implications? And what do they have to do with the type of
periodicity blocks you're looking for? Incidentally, by what reasoning did
you figure that all periodicity blocks represent each of their acoustic
intervals by only one scale position?

>Therefore the Pythagorean diatonic scale, and myriad CSs based on it, are
>not strictly proper. The 2nd order MOSs and their CSs can be highly
>improper.

Paul, perhaps there is still confusion on what CS means. From Kraig's most
recent post, I took it to refer to MOS's that don't change as the generator
size does, ie all 2-tone chains are MOS, the 7-tone chain of fifths is a CS
of the 12, 19, and 31 tone chains of fifths...

-C.

🔗Paul H. Erlich <PErlich@Acadian-Asset.com>

9/28/1999 12:43:10 PM

Carl, I take it you've never looked at Erv Wilson's CS scales. Please refer
to Kraig's Wilson Archives. However, the concept you mistakenly took CS to
mean is interesting. Can you explain further?

>Incidentally, by what reasoning did
>you figure that all periodicity blocks represent each of their acoustic
>intervals by only one scale position?

More intuition than reasoning. Can you find any counterexamples?