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13-limit Haluska linear temperaments

🔗Gene Ward Smith <gwsmith@svpal.org>

3/30/2004 4:56:33 PM

[36/35, 40/39, 45/44, 49/48]
[2, 3, 1, 7, 1, 0, -4, 4, -6, -6, 6, -9, 16, -1, -23]
[[1, 2, 3, 3, 5, 4], [0, -2, -3, -1, -7, -1]]

[40/39, 45/44, 49/48, 50/49]
[4, 2, 2, 10, -2, -6, -8, 2, -18, -1, 16, -12, 21, -13, -44]
[[2, 4, 5, 6, 9, 7], [0, -2, -1, -1, -5, 1]]

[45/44, 49/48, 50/49, 55/54]
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
[[0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0]]

[49/48, 50/49, 55/54, 56/55]
[0, 0, 0, 0, 10, 0, 0, 0, 16, 0, 0, 23, 0, 28, 35]
[[10, 16, 23, 28, 35, 37], [0, 0, 0, 0, 0, 1]]

[50/49, 55/54, 56/55, 64/63]
[0, 0, 0, 0, 10, 0, 0, 0, 16, 0, 0, 23, 0, 28, 35]
[[10, 16, 23, 28, 35, 37], [0, 0, 0, 0, 0, 1]]

[55/54, 56/55, 64/63, 65/64]
[0, 5, 0, -5, -5, 8, 0, -8, -8, -14, -29, -30, -14, -14, 1]
[[5, 8, 12, 14, 17, 18], [0, 0, -1, 0, 1, 1]]

[56/55, 64/63, 65/64, 66/65]
[1, -1, -2, -1, 1, -4, -6, -5, -2, -2, 1, 6, 4, 10, 7]
[[1, 2, 2, 2, 3, 4], [0, -1, 1, 2, 1, -1]]

[64/63, 65/64, 66/65, 78/77]
[1, 4, -2, -1, -4, 4, -6, -5, -10, -16, -16, -24, 4, -4, -10]
[[1, 2, 4, 2, 3, 2], [0, -1, -4, 2, 1, 4]]

[65/64, 66/65, 78/77, 81/80]
[1, 4, -2, -1, -4, 4, -6, -5, -10, -16, -16, -24, 4, -4, -10]
[[1, 2, 4, 2, 3, 2], [0, -1, -4, 2, 1, 4]]

[66/65, 78/77, 81/80, 91/90]
[1, 4, -2, 11, 8, 4, -6, 14, 9, -16, 12, 4, 38, 30, -13]
[[1, 2, 4, 2, 8, 7], [0, -1, -4, 2, -11, -8]]

[78/77, 81/80, 91/90, 99/98]
[4, 16, 9, 10, 15, 16, 3, 2, 9, -24, -32, -24, -3, 9, 15]
[[1, 3, 8, 6, 7, 9], [0, -4, -16, -9, -10, -15]]

[81/80, 91/90, 99/98, 100/99]
[2, 8, 8, 12, 4, 8, 7, 12, -1, -4, 0, -20, 6, -18, -30]
[[2, 3, 4, 5, 6, 7], [0, 1, 4, 4, 6, 2]]

[91/90, 99/98, 100/99, 105/104]
[4, 2, 2, -4, 8, -6, -8, -20, -2, -1, -16, 11, -18, 15, 42]
[[2, 4, 5, 6, 6, 9], [0, -2, -1, -1, 2, -4]]

[99/98, 100/99, 105/104, 121/120]
[6, 10, 10, 8, 26, 2, -1, -8, 19, -5, -16, 23, -12, 36, 60]
[[2, 4, 6, 7, 8, 11], [0, -3, -5, -5, -4, -13]]

[100/99, 105/104, 121/120, 126/125]
[3, 5, 9, 4, 17, 1, 6, -4, 16, 7, -8, 21, -20, 14, 44]
[[1, 2, 3, 4, 4, 6], [0, -3, -5, -9, -4, -17]]

[105/104, 121/120, 126/125, 144/143]
[9, 5, -3, 7, 11, -13, -30, -20, -16, -21, -1, 7, 30, 42, 12]
[[1, 1, 2, 3, 3, 3], [0, 9, 5, -3, 7, 11]]

[121/120, 126/125, 144/143, 169/168]
[8, 8, 8, 8, 8, -6, -10, -15, -17, -4, -9, -11, -5, -7, -2]
[[8, 13, 19, 23, 28, 30], [0, -1, -1, -1, -1, -1]]

[126/125, 144/143, 169/168, 176/175]
[13, 9, 1, 19, 7, -16, -35, -15, -37, -23, 13, -17, 50, 16, -46]
[[1, 4, 4, 3, 7, 5], [0, -13, -9, -1, -19, -7]]

[144/143, 169/168, 176/175, 196/195]
[9, 0, 9, 9, 9, -21, -11, -17, -19, 21, 21, 21, -6, -8, -2]
[[9, 14, 21, 25, 31, 33], [0, 1, 0, 1, 1, 1]]

[169/168, 176/175, 196/195, 225/224]
[4, -3, 2, -4, 3, -14, -8, -20, -10, 13, 1, 18, -18, 1, 25]
[[1, 2, 2, 3, 3, 4], [0, -4, 3, -2, 4, -3]]

[176/175, 196/195, 225/224, 243/242]
[8, 1, 18, 20, 27, -17, 6, 4, 13, 39, 43, 59, -6, 9, 19]
[[1, -1, 2, -3, -3, -5], [0, 8, 1, 18, 20, 27]]

[196/195, 225/224, 243/242, 325/324]
[10, 2, 24, 25, 36, -20, 10, 5, 20, 50, 51, 76, -13, 12, 32]
[[1, 5, 3, 11, 12, 16], [0, -10, -2, -24, -25, -36]]

[225/224, 243/242, 325/324, 351/350]
[12, 10, 44, 30, 28, -12, 36, 6, 0, 74, 35, 28, -68, -84, -14]
[[2, 6, 7, 16, 14, 14], [0, -6, -5, -22, -15, -14]]

[243/242, 325/324, 351/350, 352/351]
[4, 9, -8, 10, -2, 5, -24, 2, -18, -44, -8, -38, 56, 24, -44]
[[1, 1, 1, 4, 2, 4], [0, 4, 9, -8, 10, -2]]

[325/324, 351/350, 352/351, 364/363]
[2, -4, 30, 22, 16, -11, 42, 28, 18, 81, 65, 52, -42, -66, -26]
[[2, 3, 5, 3, 5, 6], [0, 1, -2, 15, 11, 8]]

[351/350, 352/351, 364/363, 385/384]
[4, -8, 14, -2, -14, -22, 11, -17, -37, 55, 23, -3, -54, -91, -41]
[[2, 3, 5, 5, 7, 8], [0, 2, -4, 7, -1, -7]]

[352/351, 364/363, 385/384, 441/440]
[3, 17, -1, -13, -22, 20, -10, -31, -46, -50, -89, -114, -33, -58, -28]
[[1, 1, -1, 3, 6, 8], [0, 3, 17, -1, -13, -22]]

[364/363, 385/384, 441/440, 540/539]
[6, -7, -2, 15, 38, -25, -20, 3, 38, 15, 59, 114, 49, 114, 76]
[[1, 1, 3, 3, 2, 0], [0, 6, -7, -2, 15, 38]]

[385/384, 441/440, 540/539, 625/624]
[6, -7, -2, 15, -34, -25, -20, 3, -76, 15, 59, -53, 49, -88, -173]
[[1, 1, 3, 3, 2, 7], [0, 6, -7, -2, 15, -34]]

[441/440, 540/539, 625/624, 676/675]
[24, 20, 16, 60, 56, -24, -42, 12, 0, -19, 70, 56, 113, 98, -28]
[[4, 6, 9, 11, 13, 14], [0, 6, 5, 4, 15, 14]]

[540/539, 625/624, 676/675, 729/728]
[6, 5, 22, -21, 14, -6, 18, -54, 0, 37, -66, 14, -135, -42, 126]
[[1, 0, 1, -3, 9, 0], [0, 6, 5, 22, -21, 14]]

[625/624, 676/675, 729/728, 1001/1000]
[6, 5, 22, -21, 14, -6, 18, -54, 0, 37, -66, 14, -135, -42, 126]
[[1, 0, 1, -3, 9, 0], [0, 6, 5, 22, -21, 14]]

[676/675, 729/728, 1001/1000, 1716/1715]
[12, 34, 20, 30, 52, 26, -2, 6, 38, -49, -48, -5, 15, 72, 69]
[[2, 4, 7, 7, 9, 11], [0, -6, -17, -10, -15, -26]]

[729/728, 1001/1000, 1716/1715, 2080/2079]
[12, 34, 20, 30, 52, 26, -2, 6, 38, -49, -48, -5, 15, 72, 69]
[[2, 4, 7, 7, 9, 11], [0, -6, -17, -10, -15, -26]]

[1001/1000, 1716/1715, 2080/2079, 2401/2400]
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
[[0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0]]

[1716/1715, 2080/2079, 2401/2400, 3025/3024]
[36, 54, 36, 18, 108, 2, -44, -96, 38, -68, -145, 51, -74, 170, 307]
[[18, 28, 41, 50, 62, 65], [0, 2, 3, 2, 1, 6]]

[2080/2079, 2401/2400, 3025/3024, 4096/4095]
[2, -57, -28, 46, 81, -95, -50, 66, 121, 95, 304, 399, 226, 331, 110]
[[1, 1, 19, 11, -10, -20], [0, 2, -57, -28, 46, 81]]

[2401/2400, 3025/3024, 4096/4095, 4225/4224]
[2, -57, -28, 46, 81, -95, -50, 66, 121, 95, 304, 399, 226, 331, 110]
[[1, 1, 19, 11, -10, -20], [0, 2, -57, -28, 46, 81]]

[3025/3024, 4096/4095, 4225/4224, 4375/4374]
[22, 48, -38, -34, -54, 25, -122, -130, -167, -223, -245, -303, 36,
-11, -61]
[[2, 7, 13, -1, 1, -2], [0, -11, -24, 19, 17, 27]]

[4096/4095, 4225/4224, 4375/4374, 6656/6655]
[22, 48, -38, -34, -54, 25, -122, -130, -167, -223, -245, -303, 36,
-11, -61]
[[2, 7, 13, -1, 1, -2], [0, -11, -24, 19, 17, 27]]

[4225/4224, 4375/4374, 6656/6655, 9801/9800]
[22, 48, -38, -34, -54, 25, -122, -130, -167, -223, -245, -303, 36,
-11, -61]
[[2, 7, 13, -1, 1, -2], [0, -11, -24, 19, 17, 27]]

[4375/4374, 6656/6655, 9801/9800, 10648/10647]
[22, 48, -38, -34, -54, 25, -122, -130, -167, -223, -245, -303, 36,
-11, -61]
[[2, 7, 13, -1, 1, -2], [0, -11, -24, 19, 17, 27]]

[6656/6655, 9801/9800, 10648/10647, 123201/123200]
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
[[0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0]]

[9801/9800, 10648/10647, 123201/123200, 5767168/5767125]
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
[[0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0]]

[10648/10647, 123201/123200, 5767168/5767125, 192914176/192913083]
[74, -108, 456, 200, -2, -343, 515, 61, -277, 1362, 838, 395, -1016,
-1693, -747]
[[2, 18, -17, 97, 47, 7], [0, -37, 54, -228, -100, 1]]

[123201/123200, 5767168/5767125, 192914176/192913083,
4060088955/4060086272]
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
[[0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0]]

[5767168/5767125, 192914176/192913083, 4060088955/4060086272,
14869765625/14869757952]
[79, -348, 786, 1510, 563, -735, 1024, 2120, 600, 2802, 4710, 2595,
1520, -1328, -3640]
[[1, -19, 93, -202, -390, -143], [0, 79, -348, 786, 1510, 563]]

[192914176/192913083, 4060088955/4060086272, 14869765625/14869757952,
13051691536000/13051688172831]
[173, 4210, 208, -6097, -3523, 6271, -156, -10262, -6224, -11336,
-28721, -23759, -17836, -10660, 10374]
[[1, -44, -1107, -52, 1610, 932], [0, 173, 4210, 208, -6097, -3523]]

[4060088955/4060086272, 14869765625/14869757952,
13051691536000/13051688172831, 28344980104623/28344976000000]
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
[[0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0]]