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RE: [tuning] Re: Voronoi plot of 15 limit diamond

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

3/22/2000 12:09:27 PM

This is available at

http://lumma.org/erlich/voronoi/

under

burgess.jpg .

The (3,6)1·3·7·9·11·15 Eikosany is under

wolf15-5.jpg .

>How else might they be used? I guess I don't know enuf about tuning theory
>to know where to begin, or even to know what questions to ask. Hence, I
was
>looking to you for ideas.

I guess I would start by learning the triads that are consonant in the
15-limit; these would simply be the 3-member subsets of the 8 otonal octads
and the 8 utonal octads. Then the tetrads; there you would have the 4-member
subsets of the octads, as well as the "anomalous" ones: 12:14:18:21,
22:24:33:36, 24:26:36:39, 12:14:15:21, and 20:28:30:35. Do all of those
occur in the diamond? Find them.