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Some 7-limit temperaments supported by 152

🔗Gene Ward Smith <gwsmith@svpal.org>

6/26/2004 3:43:24 PM

The second on the list has a major third as generator, and the fourth
has a fifth. Both are worth noting. I give the 7 and 9 limit Graham
complexities, and the TOP error, in the second line.

Enneadecal
[19, 19, 57, -14, 37, 79] [[19, 30, 44, 53], [0, 1, 1, 3]]
57 57 .046052 {4375/4374, 703125/702464}

[23, -1, 13, -55, -44, 33] [[1, 9, 2, 7], [0, -23, 1, -13]]
24 47 .328389 {6144/6125, 16875/16807}

Amity
[5, 13, -17, 9, -41, -76] [[1, 3, 6, -2], [0, -5, -13, 17]]
30 30 .276106 {4375/4374, 5120/5103}

[1, 33, 27, 50, 40, -30] [[1, 2, 16, 14], [0, -1, -33, -27]]
33 33 .319505 {5120/5103, 16875/16807}

[28, 12, -4, -46, -85, -43] [[4, 8, 10, 11], [0, -7, -3, 1]]
32 60 .382797

[24, 32, 40, -5, -4, 3] [[8, 13, 19, 23], [0, -3, -4, -5]]
40 48 .269877

[33, 25, 131, -37, 115, 234] [[1, 17, 14, 64], [0, -33, -25, -131]]
131 131 .036482

[29, 45, 23, 4, -45, -73] [[1, -7, -11, -4], [0, 29, 45, 23]]
45 58 .348387

[47, 31, 53, -60, -48, 36] [[1, -8, -4, -8], [0, 47, 31, 53]]
53 94 .260647

[37, 5, 87, -78, 34, 188] [[1, 14, 4, 32], [0, -37, -5, -87]]
87 87 .108163

[41, -15, 43, -119, -47, 142] [[1, -3, 4, -2], [0, 41, -15, 43]]
58 97 .270148

[51, 11, 9, -101, -129, -10] [[1, 14, 5, 5], [0, -51, -11, -9]]
51 102 .375205

[33, 25, -21, -37, -126, -119] [[1, 17, 14, -7], [0, -33, -25, 21]]
54 87 .348077

[27, -21, -31, -96, -125, -13] [[1, 11, -5, -8], [0, -27, 21, 31]]
58 85 .324470

[57, 57, 19, -42, -130, -116] [[19, 29, 43, 53], [0, 3, 3, 1]]
57 114 .365107