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Some diamond-containing dwarves

🔗Gene Ward Smith <genewardsmith@coolgoose.com>

8/26/2006 12:35:27 PM

For a given odd limit q, there is a mininal n such that n-edo is
distinctly consistent with respect to diamond(q). This sequence goes

1, 3, 9, 27, 41, 58, 87, 111, 149, 217, ...

For each n, we can compute the corresponding dwarf scale and
transpose; the 5-limit, 9-note dwarf dwarf9_5 being one of them.

1: [2]
3: [4/3, 3/2, 2]
5: [16/15, 6/5, 5/4, 4/3, 3/2, 8/5, 5/3, 15/8, 2]
7: [36/35, 16/15, 15/14, 243/224, 8/7, 81/70, 128/105, 49/40, 5/4,
9/7, 4/3, 48/35, 7/5, 10/7, 81/56, 32/21, 54/35, 8/5, 49/30, 5/3,
12/7, 243/140, 64/35, 28/15, 40/21, 27/14, 2]

And so forth.