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A 25-note, 2401/2400 scale

🔗genewardsmith <genewardsmith@juno.com>

5/31/2002 5:16:37 AM

If you think a scale can be so large, at least. I went to this many notes not because a sufficient amount of harmony does not appear until then, but because the smaller rectangles I looked at had rather uneven step sizes. A closer look involving non-rectangular scales might be interesting. This one is a 5x5 square, with generators 7/5 and 60/49, in the 612-et version:

[0, 25, 43, 68, 86, 104, 143, 161, 179, 204, 222, 279, 297, 322, 340,
358, 383, 401, 458, 476, 501, 519, 537, 576, 594]

It has 91 intervals and 90 triads in the 7-limit, and 110 intervals and 149 triads in the 9-limit. A comparison to Blackjack, Canasta, and 27-note Ennealimmal might be in order; of course the tuning is of Ennealimmal-style exactness, much better than Miracle.

🔗Carl Lumma <carl@lumma.org>

5/31/2002 8:43:49 AM

>If you think a scale can be so large, at least.

I think melodic material can be subsetted on the fly
with excellent results.

-Carl