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RE: [tuning] Are Wilson's three 22-tone CS scales periodicity blo cks?

🔗Paul H. Erlich <PERLICH@ACADIAN-ASSET.COM>

3/6/2000 12:03:54 PM

Kraig Grady wrote,

>I don't understand these symbols under 2 and 3.

Which symbols?

>The major scale is a great example of something that can be explained by a
variety of approaches. This is what makes >the scale so important. Not only
as a chain of fifths as a host of theorist have expanded upon but also in it
being three >triads.

My paper presents yet another explanation.

>I would be more interested in periodic blocks, only if it could produce
something beyond a slight replacement of one >interval with another.

Don't follow.

>he might think of the whole scale as a periodicity block of the others to
be chosen depending on the artistic statement >one wanted to make.

I don't understand -- what does it mean for a scale to be a periodicity
block of "the others"? Anyway the point of this post was to follow up on an
earlier thread relating CS scales to periodicity blocks. I claimed that all
reasonable periodicity blocks are CS; it may also be that all CS scales of
the type Wilson was interested in are periodicity blocks. In other words,
the two concepts may prove equivalent; though certain properties have so far
appeared more obvious in the context of one derivation or the other,
uncovering an equivalence would be a sort of "unificiation" and hence a
great boon for understanding and creating many such scales.