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More scales (49/48)

🔗Gene Ward Smith <gwsmith@svpal.org>

4/1/2003 12:56:49 PM

Meantone[19]
[1, 4, 10, 4, 13, 12] [[1, 2, 4, 7], [0, -1, -4, -10]]

bad 835.8644295 comp 15.10180564 rms 3.665034700
graham 10 scale size 19 ratio 1.900000

[15, 51, 72, 46, 72, 24] [[3, 3, 1, 0], [0, 5, 17, 24]]

bad 1103.703155 comp 119.5590291 rms .7721248404e-1
graham 72 scale size 129 ratio 1.791667

[19, 19, 57, -14, 37, 79] [[19, 30, 44, 53], [0, 1, 1, 3]]

bad 1128.943760 comp 89.73537466 rms .1401990099
graham 57 scale size 95 ratio 1.666667

Infraschismic[77]
[1, -8, 39, -15, 59, 113] [[1, 2, -1, 19], [0, -1, 8, -39]]

bad 1159.472962 comp 72.04051068 rms .2234122900
graham 47 scale size 77 ratio 1.638298

[3, -24, -54, -45, -94, -58] [[3, 5, 5, 4], [0, -1, 8, 18]]

bad 1162.373338 comp 88.95093793 rms .1469077057
graham 57 scale size 111 ratio 1.947368

[37, 46, 75, -13, 15, 45] [[1, 15, 19, 30], [0, -37, -46, -75]]

bad 1251.495304 comp 133.5646435 rms .7015299320e-1
graham 75 scale size 113 ratio 1.506667

Pajara[10]
[2, -4, -4, -11, -12, 2] [[2, 3, 5, 6], [0, 1, -2, -2]]

bad 1550.521632 comp 11.92510946 rms 10.90317748
graham 6 scale size 10 ratio 1.666667

Augmented[15]
[3, 0, -6, -7, -18, -14] [[3, 5, 7, 8], [0, -1, 0, 2]]

bad 1626.237930 comp 14.16874337 rms 8.100678900
graham 9 scale size 15 ratio 1.666667

Schismic[29]
[1, -8, -14, -15, -25, -10] [[1, 2, -1, -3], [0, -1, 8, 14]]

bad 1704.355358 comp 24.41447356 rms 2.859337512
graham 15 scale size 29 ratio 1.933333

[21, 3, -36, -44, -116, -92] [[3, 5, 7, 8], [0, -7, -1, 12]]

bad 1875.441808 comp 91.94917886 rms .2218236682
graham 57 scale size 93 ratio 1.631579

Catakleismic[38]
[6, 5, 22, -6, 18, 37] [[1, 0, 1, -3], [0, 6, 5, 22]]

bad 1891.474472 comp 34.26986563 rms 1.610555448
graham 22 scale size 38 ratio 1.727273

Magic[19]
[5, 1, 12, -10, 5, 25] [[1, 0, 2, -1], [0, 5, 1, 12]]

bad 1935.541443 comp 21.62473825 rms 4.139050792
graham 12 scale size 19 ratio 1.583333

Duodecimal[48] ?
[0, 12, 24, 19, 38, 22] [[12, 19, 28, 34], [0, 0, -1, -2]]

bad 2254.400881 comp 38.80790989 rms 1.496892592
graham 24 scale size 48 ratio 2.000000

[3, -12, -30, -26, -56, -36] [[3, 5, 6, 6], [0, -1, 4, 10]]

bad 2280.649235 comp 50.50205396 rms .8942118330
graham 33 scale size 63 ratio 1.909091

Check this out Carl[10]
[2, 1, -4, -3, -12, -12] [[1, 1, 2, 4], [0, 2, 1, -4]]

bad 2431.810368 comp 9.849243627 rms 25.06824586
graham 6 scale size 10 ratio 1.666667

[4, 21, -56, 24, -100, -189] [[1, 0, -6, 25], [0, 4, 21, -56]]

bad 2524.338456 comp 116.4675612 rms .1860962494
graham 77 scale size 116 ratio 1.506494

[7, -56, -69, -105, -129, -3] [[1, 4, -17, -21], [0, -7, 56, 69]]

bad 2569.597244 comp 139.3093296 rms .1324050816
graham 76 scale size 145 ratio 1.907895

[13, 14, 35, -8, 19, 42] [[1, 5, 6, 12], [0, -13, -14, -35]]

bad 2640.470526 comp 56.11257541 rms .8386117054
graham 35 scale size 57 ratio 1.628571

Here's another Carl[10]
[2, 6, 6, 5, 4, -3] [[2, 3, 4, 5], [0, 1, 3, 3]]

bad 2682.600306 comp 11.92510946 rms 18.86388854
graham 6 scale size 10 ratio 1.666667

[2, -4, -16, -11, -31, -26] [[2, 3, 5, 7], [0, 1, -2, -8]]

bad 2780.393711 comp 26.97297092 rms 3.821630806
graham 18 scale size 34 ratio 1.888889

[11, 83, 87, 106, 107, -31] [[1, 3, 13, 14], [0, -11, -83, -87]]

bad 2823.202696 comp 171.1977547 rms .9632653338e-1
graham 87 scale size 163 ratio 1.873563

[2, 8, 8, 8, 7, -4] [[2, 3, 4, 5], [0, 1, 4, 4]]

bad 2825.971089 comp 15.87113261 rms 11.21894125
graham 8 scale size 14 ratio 1.750000

[5, -11, -12, -29, -33, 3] [[1, 4, -3, -3], [0, -5, 11, 12]]

bad 2839.251643 comp 32.44371033 rms 2.697384486
graham 17 scale size 29 ratio 1.705882

[4, -8, -20, -22, -43, -24] [[4, 6, 10, 13], [0, 1, -2, -5]]

bad 2979.183549 comp 36.62986166 rms 2.220376920
graham 24 scale size 44 ratio 1.833333

[25, -29, -51, -104, -151, -37] [[1, 1, 3, 4], [0, 25, -29, -51]]

bad 2999.836419 comp 128.1794899 rms .1825830659
graham 76 scale size 127 ratio 1.671053

[14, 6, 74, -23, 78, 155] [[2, 4, 5, 10], [0, -7, -3, -37]]

bad 3105.726517 comp 118.0421791 rms .2228890708
graham 74 scale size 134 ratio 1.810811

[6, 5, -31, -6, -66, -86] [[1, 0, 1, 11], [0, 6, 5, -31]]

bad 3127.379354 comp 60.20409280 rms .8628365462
graham 37 scale size 68 ratio 1.837838

Muggles[19]
[5, 1, -7, -10, -25, -19] [[1, 0, 2, 5], [0, 5, 1, -7]]

bad 3484.642607 comp 19.98216005 rms 8.727168798
graham 12 scale size 19 ratio 1.583333

[5, -4, -10, -18, -30, -12] [[1, 2, 2, 2], [0, -5, 4, 10]]

bad 3559.349903 comp 24.27272427 rms 6.041345016
graham 15 scale size 25 ratio 1.666667

[3, 0, 9, -7, 6, 21] [[3, 5, 7, 9], [0, -1, 0, -3]]

bad 3577.956662 comp 15.95957268 rms 14.04729032
graham 9 scale size 15 ratio 1.666667

[7, -15, -16, -40, -45, 5] [[1, 5, -5, -5], [0, -7, 15, 16]]

bad 3753.682125 comp 44.35287385 rms 1.908156371
graham 23 scale size 39 ratio 1.695652

[7, 9, 32, -2, 31, 49] [[1, -1, -1, -9], [0, 7, 9, 32]]

bad 3793.215226 comp 48.34611818 rms 1.622871997
graham 32 scale size 57 ratio 1.781250

[4, -20, -44, -41, -81, -46] [[4, 6, 11, 15], [0, 1, -5, -11]]

bad 3844.761675 comp 74.60232426 rms .6908196906
graham 48 scale size 92 ratio 1.916667

[8, 1, -13, -17, -43, -33] [[1, -1, 2, 7], [0, 8, 1, -13]]

bad 3868.273092 comp 34.07459350 rms 3.331622296
graham 21 scale size 34 ratio 1.619048

[12, 10, 25, -12, 6, 30] [[1, 6, 6, 12], [0, -12, -10, -25]]

bad 3886.016957 comp 43.45704720 rms 2.057710454
graham 25 scale size 38 ratio 1.520000

[0, 0, 12, 0, 19, 28] [[12, 19, 28, 34], [0, 0, 0, -1]]

bad 3914.199361 comp 19.94372148 rms 9.840803064
graham 12 scale size 24 ratio 2.000000

[24, -9, -66, -70, -172, -128] [[3, 2, 8, 16], [0, 8, -3, -22]]

bad 4033.584203 comp 136.9571741 rms .2150411404
graham 90 scale size 156 ratio 1.733333

[2, -16, -40, -30, -69, -48] [[2, 3, 6, 9], [0, 1, -8, -20]]

bad 4064.299560 comp 64.92532025 rms .9641786468
graham 42 scale size 82 ratio 1.952381

[3, -7, -8, -18, -21, 1] [[1, 3, -1, -1], [0, -3, 7, 8]]

bad 4088.324637 comp 20.55304683 rms 9.678163406
graham 11 scale size 19 ratio 1.727273

[3, -5, -6, -15, -18, 0] [[1, 3, 0, 0], [0, -3, 5, 6]]

bad 4123.788393 comp 16.70536648 rms 14.77693479
graham 9 scale size 15 ratio 1.666667

[2, -6, -6, -14, -15, 3] [[2, 3, 5, 6], [0, 1, -3, -3]]

bad 4244.507950 comp 15.87113261 rms 16.85045028
graham 8 scale size 14 ratio 1.750000

[5, 8, 14, 1, 8, 10] [[1, 2, 3, 4], [0, -5, -8, -14]]

bad 4438.739309 comp 22.70605088 rms 8.609470174
graham 14 scale size 23 ratio 1.642857

[42, 18, -48, -69, -194, -162] [[6, 12, 15, 14], [0, -7, -3, 8]]

bad 4446.741506 comp 158.1758818 rms .1777302516
graham 90 scale size 138 ratio 1.533333

[3, 5, 16, 1, 17, 23] [[1, 2, 3, 5], [0, -3, -5, -16]]

bad 4475.490403 comp 23.94716411 rms 7.804272934
graham 16 scale size 29 ratio 1.812500

[8, 13, 23, 2, 14, 17] [[1, 2, 3, 4], [0, -8, -13, -23]]

bad 4517.316135 comp 37.08137627 rms 3.285252812
graham 23 scale size 38 ratio 1.652174

[6, -36, -84, -71, -150, -94] [[6, 10, 11, 10], [0, -1, 6, 14]]

bad 4524.688632 comp 139.3535064 rms .2329983774
graham 90 scale size 174 ratio 1.933333

[6, -19, -26, -44, -58, -7] [[1, 2, 1, 1], [0, -6, 19, 26]]

bad 4581.275208 comp 55.50097057 rms 1.487254275
graham 32 scale size 58 ratio 1.812500

[13, 2, 30, -27, 11, 64] [[1, 6, 3, 13], [0, -13, -2, -30]]

bad 4674.708063 comp 55.18330983 rms 1.535108242
graham 30 scale size 47 ratio 1.566667

[0, 0, 19, 0, 30, 44] [[19, 30, 44, 53], [0, 0, 0, 1]]

bad 4848.358890 comp 31.57755902 rms 4.862254076
graham 19 scale size 38 ratio 2.000000

[1, 16, 34, 23, 51, 34] [[1, 2, 9, 17], [0, -1, -16, -34]]

bad 4849.147837 comp 53.59263278 rms 1.688321844
graham 34 scale size 67 ratio 1.970588

[3, 12, 11, 12, 9, -8] [[1, 3, 8, 8], [0, -3, -12, -11]]

bad 4859.392907 comp 23.16666620 rms 9.054301108
graham 12 scale size 19 ratio 1.583333

[15, 39, 48, 27, 34, 2] [[3, 4, 5, 6], [0, 5, 13, 16]]

bad 4873.326095 comp 84.95415769 rms .6752369450
graham 48 scale size 81 ratio 1.687500

[7, 26, 25, 25, 20, -15] [[1, 5, 15, 15], [0, -7, -26, -25]]

bad 4890.319502 comp 50.87738861 rms 1.889242078
graham 26 scale size 43 ratio 1.653846

[1, 33, 27, 50, 40, -30] [[1, 2, 16, 14], [0, -1, -33, -27]]

bad 4988.312470 comp 65.75753976 rms 1.153619365
graham 33 scale size 53 ratio 1.606061

[3, 12, 18, 12, 20, 8] [[3, 5, 8, 10], [0, -1, -4, -6]]

bad 4991.565409 comp 29.37953135 rms 5.782918062
graham 18 scale size 33 ratio 1.833333

[32, 33, 92, -22, 56, 121] [[1, 10, 11, 27], [0, -32, -33, -92]]

bad 4997.016683 comp 145.6972665 rms .2354008310
graham 92 scale size 152 ratio 1.652174