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Reply to Rick Sanford

🔗"Paul H. Erlich" <PErlich@...>

6/22/1998 11:02:42 AM
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>Nice to hear some talk about 7/4's for a change.

>I say Decatonic to mean 10 intervals, but in two sizes
>(like the old Messiaen, Stravinsky stuff) the way Octatonic
>has whole step, half step, etc.

I hope you get a chance to check out my paper on (two-step-sized)
decatonic scales as a basis for 7-limit tonality, either in the
just-published Xenharmonikon 17, or at
http://www-math.cudenver.edu/~jstarret/22ALL.pdf.

>In "Pient Molles" (forum CD piece), it's 5 240-cent big pieces
>with 60-cent small pieces in between.

I'm confused . . . is that 5 180-cent big steps and 5 60-cent small
steps? By the way, Easley Blackwood describes some amazing properties of
the symmetrical decatonic scale in 15-TET (5 160-cent big steps
alternating with 5 80-cent small steps) in Perspectives of New Music
Vol. 29 No. 2 pp. 166-200 (1991).


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