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Some 2401/2400 tempered 21-note blocks

🔗Gene W Smith <genewardsmith@juno.com>

6/1/2002 5:59:23 AM

It seemed to me that if I was going to enforce the epimorphic property, I
might as well go all the way to blocks; this also allows one to dispense
with the optimized bases. Here are some blocks, both in the JI form and
with 2401/2400
tempered out by going to the 612-et. The two commas listed are those
aside from 2401/2400 for the block.

405/392 36/35

[1, 21/20, 15/14, 49/45, 8/7, 7/6, 60/49, 9/7, 343/270, 4/3, 7/5, 10/7,
3/2, 540/343, 14/9, 49/30, 12/7, 7/4, 90/49, 28/15, 40/21, 2]

[0, 43, 61, 75, 118, 136, 179, 222, 211, 254, 297, 315, 358, 401,
390, 433, 476, 494, 537, 551, 569];

5: 25, 8
7: 61, 48
9: 86, 115

36/35 225/224

[1, 49/48, 15/14, 49/45, 8/7, 7/6, 60/49, 5/4, 98/75, 4/3, 7/5, 10/7,
3/2, 75/49, 8/5, 49/30, 12/7, 7/4, 90/49, 28/15, 96/49, 2]

[0, 18, 61, 75, 118, 136, 179, 197, 236, 254, 297, 315, 358, 376,
415, 433, 476, 494, 537, 551, 594]

5: 29, 12
7: 69, 64
9: 78, 87

36/35 128/125

[1, 49/48, 15/14, 28/25, 8/7, 7/6, 60/49, 5/4, 98/75, 48/35, 7/5, 10/7,
35/24, 75/49, 8/5, 49/30, 12/7, 7/4, 25/14, 28/15, 96/49, 2]

[0, 18, 61, 100, 118, 136, 179, 197, 236, 279, 297, 315, 333, 376,
415, 433, 476, 494, 512, 551, 594]

5: 29, 12
7: 71, 66
9: 71, 66

405/392 225/224

[1, 686/675, 15/14, 49/45, 8/7, 7/6, 60/49, 56/45, 21/16, 4/3, 7/5, 10/7,

3/2, 32/21, 45/28, 49/30, 12/7, 7/4, 90/49, 28/15, 675/343, 2]

[0, 14, 61, 75, 118, 136, 179, 193, 240, 254, 297, 315, 358, 372,
419, 433, 476, 494, 537, 551, 598]

5: 21, 4
7: 51, 32
9: 64, 57

128/125 225/224

[1, 49/48, 15/14, 35/32, 8/7, 7/6, 60/49, 5/4, 98/75, 75/56, 7/5, 10/7,
112/75, 75/49, 8/5, 49/30, 12/7, 7/4, 64/35, 28/15, 96/49, 2]

[0, 18, 61, 79, 118, 136, 179, 197, 236, 258, 297, 315, 354, 376,
415, 433, 476, 494, 533, 551, 594]

5: 25, 8
7: 63, 52
9: 63, 52