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More scales (25/24)

🔗Gene Ward Smith <gwsmith@svpal.org>

4/1/2003 12:48:29 PM

Quatraschismic[68]
[4, -32, -15, -60, -35, 55] [[1, 1, 7, 5], [0, 4, -32, -15]]

bad 806.2259448 comp 66.22833900 rms .1838099613
graham 36 scale size 68 ratio 1.888889

Miracle[20]
[6, -7, -2, -25, -20, 15] [[1, 1, 3, 3], [0, 6, -7, -2]]

bad 1017.380174 comp 24.92662918 rms 1.637405196
graham 13 scale size 20 ratio 1.538462

Hemififth[48]
[2, 25, 13, 35, 15, -40] [[1, 1, -5, -1], [0, 2, 25, 13]]

bad 1262.620150 comp 46.45156504 rms .5851564738
graham 25 scale size 48 ratio 1.920000

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

[14, 59, 33, 61, 13, -89] [[1, -3, -17, -8], [0, 14, 59, 33]]

bad 1635.576289 comp 106.6204474 rms .1438764803
graham 59 scale size 104 ratio 1.762712

Blackwood[10]
[0, 5, 0, 8, 0, -14] [[5, 8, 12, 14], [0, 0, -1, 0]]

bad 1662.988586 comp 10.25428060 rms 15.81535241
graham 5 scale size 10 ratio 2.000000

[20, -30, -10, -94, -72, 61] [[10, 16, 23, 28], [0, -2, 3, 1]]

bad 1994.466122 comp 93.33508779 rms .2289479626
graham 50 scale size 80 ratio 1.600000

Supermajor seconds[21]
[3, 12, -1, 12, -10, -36] [[1, 1, 0, 3], [0, 3, 12, -1]]

bad 2171.962763 comp 24.63368766 rms 3.579262202
graham 13 scale size 21 ratio 1.615385

[12, 34, 20, 26, -2, -49] [[2, 4, 7, 7], [0, -6, -17, -10]]

bad 2344.370133 comp 62.49168223 rms .6003185294
graham 34 scale size 56 ratio 1.647059

Octafifths[28]
[8, 18, 11, 10, -5, -25] [[1, 1, 1, 2], [0, 8, 18, 11]]

bad 2419.357927 comp 34.23414359 rms 2.064339812
graham 18 scale size 28 ratio 1.555556

Superpythagorean[17]
[1, 9, -2, 12, -6, -30] [[1, 2, 6, 2], [0, -1, -9, 2]]

bad 2430.162102 comp 19.47032028 rms 6.410457906
graham 11 scale size 17 ratio 1.545455

Beatles[20]
[2, -9, -4, -19, -12, 16] [[1, 1, 5, 4], [0, 2, -9, -4]]

bad 2483.820841 comp 19.94265310 rms 6.245315704
graham 11 scale size 20 ratio 1.818182

[2, -57, -28, -95, -50, 95] [[1, 1, 19, 11], [0, 2, -57, -28]]

bad 2515.083696 comp 111.6536821 rms .2017466548
graham 59 scale size 116 ratio 1.966102

[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 119 ratio 1.565789

NB Carl
[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

[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 155 ratio 1.781609

NB Carl
[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 27 ratio 1.588235

Squares[28]
[4, 16, 9, 16, 3, -24] [[1, 3, 8, 6], [0, -4, -16, -9]]

bad 2880.870812 comp 28.92292245 rms 3.443812018
graham 16 scale size 28 ratio 1.750000

Hemifourths[14]
[2, 8, 1, 8, -4, -20] [[1, 2, 4, 3], [0, -2, -8, -1]]

bad 2970.086939 comp 15.29862606 rms 12.69007834
graham 8 scale size 14 ratio 1.750000

[26, -37, -12, -119, -92, 76] [[1, -1, 6, 4], [0, 26, -37, -12]]

bad 3100.719951 comp 118.1864165 rms .2219869346
graham 63 scale size 100 ratio 1.587302

[20, 52, 31, 36, -7, -74] [[1, 3, 6, 5], [0, -20, -52, -31]]

bad 3218.975776 comp 96.52895125 rms .3454637898
graham 52 scale size 84 ratio 1.615385

Supersupermajor[31]
[3, 17, -1, 20, -10, -50] [[1, 1, -1, 3], [0, 3, 17, -1]]

bad 3230.112914 comp 34.40312184 rms 2.729116010
graham 18 scale size 31 ratio 1.722222

[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 37 ratio 1.608696

[7, 38, -4, 44, -26, -116] [[1, 3, 10, 2], [0, -7, -38, 4]]

bad 3828.476155 comp 78.25908571 rms .6251099432
graham 42 scale size 69 ratio 1.642857

[14, -23, -8, -69, -52, 46] [[1, 3, 0, 2], [0, -14, 23, 8]]

bad 3923.865486 comp 68.53846993 rms .8353054234
graham 37 scale size 60 ratio 1.621622

[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 17 ratio 1.545455

[8, -16, -6, -44, -32, 31] [[2, 4, 3, 5], [0, -4, 8, 3]]

bad 4109.453916 comp 43.88939274 rms 2.133364042
graham 24 scale size 40 ratio 1.666667

[10, -39, -17, -85, -55, 70] [[1, 5, -11, -3], [0, -10, 39, 17]]

bad 4138.593302 comp 88.64147767 rms .5267187470
graham 49 scale size 88 ratio 1.795918

[16, 84, 46, 96, 28, -129] [[2, 4, 9, 8], [0, -8, -42, -23]]

bad 4175.315972 comp 152.1385061 rms .1803894157
graham 84 scale size 152 ratio 1.809524

[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

[13, 67, -6, 76, -46, -202] [[1, -1, -11, 4], [0, 13, 67, -6]]

bad 4551.129119 comp 137.1901910 rms .2418093198
graham 73 scale size 121 ratio 1.657534

[6, 29, -2, 32, -20, -86] [[1, 4, 14, 2], [0, -6, -29, 2]]

bad 4693.393783 comp 58.95452867 rms 1.350369594
graham 31 scale size 52 ratio 1.677419

[3, -24, -1, -45, -10, 65] [[1, 1, 7, 3], [0, 3, -24, -1]]

bad 4789.919936 comp 51.59695464 rms 1.799202788
graham 27 scale size 51 ratio 1.888889

[30, 61, 38, 27, -24, -83] [[1, -3, -7, -3], [0, 30, 61, 38]]

bad 4806.311234 comp 118.8004970 rms .3405456798
graham 61 scale size 92 ratio 1.508197

[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 21 ratio 1.750000

[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 45 ratio 1.730769

[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 65 ratio 1.969697

[8, -11, -6, -36, -32, 17] [[1, 4, -1, 1], [0, -8, 11, 6]]

bad 4988.607974 comp 36.19566507 rms 3.807730956
graham 19 scale size 30 ratio 1.578947

[4, 21, -3, 24, -16, -66] [[1, 0, -6, 4], [0, 4, 21, -3]]

bad 5155.606183 comp 43.89813671 rms 2.675392852
graham 24 scale size 38 ratio 1.583333

[6, -12, -2, -33, -20, 29] [[2, 2, 7, 6], [0, 3, -6, -1]]

bad 5210.520687 comp 32.97178432 rms 4.792876340
graham 18 scale size 30 ratio 1.666667

[6, 41, 22, 51, 18, -64] [[1, 3, 12, 8], [0, -6, -41, -22]]

bad 5272.772051 comp 74.77203531 rms .9431061824
graham 41 scale size 76 ratio 1.853659

[1, -8, -2, -15, -6, 18] [[1, 2, -1, 2], [0, -1, 8, 2]]

bad 5451.864616 comp 16.64869341 rms 19.66911190
graham 9 scale size 17 ratio 1.888889

[8, 66, 35, 86, 33, -104] [[1, 3, 14, 9], [0, -8, -66, -35]]

bad 5508.324105 comp 121.0812738 rms .3757210468
graham 66 scale size 124 ratio 1.878788

[27, -45, 27, -134, -33, 189] [[9, 13, 23, 24], [0, 3, -5, 3]]

bad 5580.116645 comp 147.9383210 rms .2549657862
graham 72 scale size 117 ratio 1.625000

[5, 18, 17, 17, 13, -11] [[1, 4, 11, 11], [0, -5, -18, -17]]

bad 5619.674186 comp 35.02857965 rms 4.580006366
graham 18 scale size 31 ratio 1.722222

[1, -37, -43, -61, -71, 4] [[1, 2, -13, -15], [0, -1, 37, 43]]

bad 5627.373521 comp 85.06872292 rms .7776173046
graham 44 scale size 75 ratio 1.704545

[29, -61, -66, -164, -186, 18] [[1, 16, -28, -30], [0, -29, 61, 66]]

bad 5677.494450 comp 182.1474610 rms .1711238232
graham 95 scale size 151 ratio 1.589474

[20, 105, -10, 120, -72, -318] [[5, 8, 12, 14], [0, -4, -21, 2]]

bad 5830.074186 comp 215.4428685 rms .1256058409
graham 115 scale size 190 ratio 1.652174

[5, -9, -10, -26, -30, 2] [[1, 4, -2, -2], [0, -5, 9, 10]]

bad 5929.557384 comp 28.59776268 rms 7.250336456
graham 15 scale size 23 ratio 1.533333

[1, 14, -2, 20, -6, -44] [[1, 2, 8, 2], [0, -1, -14, 2]]

bad 5995.726244 comp 29.52506360 rms 6.877967380
graham 16 scale size 27 ratio 1.687500

[5, -40, -29, -75, -60, 45] [[1, 0, 15, 12], [0, 5, -40, -29]]

bad 6123.389477 comp 85.45333864 rms .8385593644
graham 45 scale size 85 ratio 1.888889

[9, -36, 9, -78, -11, 122] [[9, 14, 22, 25], [0, 1, -4, 1]]

bad 6153.784420 comp 89.20724695 rms .7732893066
graham 45 scale size 81 ratio 1.800000

[12, 116, 61, 156, 63, -184] [[1, 3, 16, 10], [0, -12, -116, -61]]

bad 6165.308451 comp 213.8850099 rms .1347702745
graham 116 scale size 220 ratio 1.896552

[18, -55, -23, -129, -87, 101] [[1, 3, -2, 1], [0, -18, 55, 23]]

bad 6235.360091 comp 131.9448098 rms .3581598638
graham 73 scale size 128 ratio 1.753425

[4, -13, -8, -30, -24, 18] [[1, 2, 1, 2], [0, -4, 13, 8]]

bad 6241.865596 comp 31.21994596 rms 6.403982242
graham 17 scale size 30 ratio 1.764706

[9, -72, 9, -135, -11, 223] [[9, 14, 23, 25], [0, 1, -8, 1]]

bad 6319.559467 comp 161.4376788 rms .2424805988
graham 81 scale size 153 ratio 1.888889

[4, 26, -3, 32, -16, -80] [[1, 0, -8, 4], [0, 4, 26, -3]]

bad 6500.850211 comp 53.77070178 rms 2.248426784
graham 29 scale size 48 ratio 1.655172

[4, -8, 2, -22, -8, 27] [[2, 4, 3, 6], [0, -2, 4, -1]]

bad 6596.418400 comp 23.07411531 rms 12.38962259
graham 12 scale size 20 ratio 1.666667

[6, -48, 10, -90, -1, 158] [[2, 4, -2, 7], [0, -3, 24, -5]]

bad 6680.634414 comp 110.3759122 rms .5483642010
graham 58 scale size 102 ratio 1.758621

[0, 14, 7, 22, 11, -23] [[7, 11, 17, 20], [0, 0, -2, -1]]

bad 6796.021281 comp 26.92065616 rms 9.377421730
graham 14 scale size 28 ratio 2.000000

[34, 111, 64, 97, 6, -163] [[1, 7, 20, 13], [0, -34, -111, -64]]

bad 6807.242767 comp 201.8667373 rms .1670481659
graham 111 scale size 188 ratio 1.693694

[2, -45, -57, -76, -96, -6] [[1, 2, -7, -9], [0, -2, 45, 57]]

bad 6992.965578 comp 108.7289132 rms .5915225374
graham 59 scale size 92 ratio 1.559322

[10, 43, 24, 45, 10, -65] [[1, 5, 17, 11], [0, -10, -43, -24]]

bad 7147.639216 comp 77.70529019 rms 1.183753973
graham 43 scale size 76 ratio 1.767442

[4, 26, 31, 32, 38, -1] [[1, 2, 5, 6], [0, -4, -26, -31]]

bad 7230.978192 comp 56.46645405 rms 2.267858844
graham 31 scale size 48 ratio 1.548387

[13, -22, -18, -65, -65, 20] [[1, 0, 5, 5], [0, 13, -22, -18]]

bad 7345.749516 comp 67.68280434 rms 1.603538626
graham 35 scale size 57 ratio 1.628571

[10, 50, -5, 56, -36, -152] [[5, 8, 12, 14], [0, -2, -10, 1]]

bad 7412.155328 comp 102.8169138 rms .7011571780
graham 55 scale size 90 ratio 1.636364

[12, 46, 44, 45, 36, -27] [[2, 3, 4, 5], [0, 6, 23, 22]]

bad 7491.753129 comp 89.88643879 rms .9272463000
graham 46 scale size 80 ratio 1.739130

[0, 36, 0, 57, 0, -101] [[36, 57, 84, 101], [0, 0, -1, 0]]

bad 7503.143539 comp 73.83082033 rms 1.376473539
graham 36 scale size 72 ratio 2.000000

[2, -14, -4, -27, -12, 30] [[2, 3, 6, 6], [0, 1, -7, -2]]

bad 7572.429503 comp 29.38555991 rms 8.769347874
graham 16 scale size 30 ratio 1.875000

[2, 13, 1, 16, -4, -34] [[1, 2, 5, 3], [0, -2, -13, -1]]

bad 7614.478971 comp 25.17178952 rms 12.01744127
graham 13 scale size 24 ratio 1.846154

[0, 29, 29, 46, 46, -14] [[29, 46, 67, 81], [0, 0, 1, 1]]

bad 7839.831477 comp 61.99622330 rms 2.039746796
graham 29 scale size 58 ratio 2.000000

[9, -31, -3, -70, -30, 80] [[1, 4, -6, 2], [0, -9, 31, 3]]

bad 7888.155773 comp 73.37295378 rms 1.465222141
graham 40 scale size 71 ratio 1.775000

[2, -11, 1, -22, -4, 33] [[1, 2, 0, 3], [0, -2, 11, -1]]

bad 7938.051784 comp 25.17178952 rms 12.52811538
graham 13 scale size 24 ratio 1.846154

[1, -18, -2, -31, -6, 46] [[1, 2, -5, 2], [0, -1, 18, 2]]

bad 8056.407803 comp 36.78114028 rms 5.955127490
graham 19 scale size 37 ratio 1.947368

[26, 93, 53, 87, 11, -138] [[1, 11, 36, 22], [0, -26, -93, -53]]

bad 8093.774001 comp 168.4889089 rms .2851073660
graham 93 scale size 160 ratio 1.720430

[5, 15, 0, 12, -14, -42] [[5, 8, 12, 14], [0, -1, -3, 0]]

bad 8182.982260 comp 30.39899189 rms 8.855095446
graham 15 scale size 25 ratio 1.666667

[22, -46, 15, -124, -38, 164] [[1, -4, 14, -1], [0, 22, -46, 15]]

bad 8351.983090 comp 132.8105018 rms .4735052200
graham 68 scale size 114 ratio 1.676471

[1, 21, 15, 31, 21, -24] [[1, 2, 11, 9], [0, -1, -21, -15]]

bad 8383.389707 comp 40.52787716 rms 5.104015010
graham 21 scale size 41 ratio 1.952381

[22, -87, -38, -189, -122, 156] [[1, 9, -27, -10], [0, -22, 87, 38]]

bad 8385.446065 comp 197.2149324 rms .2155989194
graham 109 scale size 196 ratio 1.798165

[5, 20, 0, 20, -14, -56] [[5, 8, 12, 14], [0, -1, -4, 0]]

bad 8399.610364 comp 39.81174637 rms 5.299521806
graham 20 scale size 35 ratio 1.750000

[3, -14, -1, -29, -10, 37] [[1, 1, 5, 3], [0, 3, -14, -1]]

bad 8586.941076 comp 31.58687897 rms 8.606469818
graham 17 scale size 31 ratio 1.823529

[4, -6, -6, -19, -21, 3] [[2, 3, 5, 6], [0, 2, -3, -3]]

bad 8668.698698 comp 20.10736235 rms 21.44093398
graham 10 scale size 16 ratio 1.600000

[14, -18, -8, -61, -52, 32] [[2, 6, 1, 4], [0, -7, 9, 4]]

bad 8816.158261 comp 60.99768675 rms 2.369477816
graham 32 scale size 50 ratio 1.562500

[12, -19, -4, -58, -40, 44] [[1, -2, 8, 4], [0, 12, -19, -4]]

bad 8836.553840 comp 57.54824529 rms 2.668202310
graham 31 scale size 50 ratio 1.612903

[24, -50, -54, -135, -153, 15] [[2, 3, 5, 6], [0, 12, -25, -27]]

bad 8882.978187 comp 149.7085231 rms .3963378450
graham 78 scale size 124 ratio 1.589744

[12, -26, -28, -69, -78, 8] [[2, 3, 5, 6], [0, 6, -13, -14]]

bad 8889.387895 comp 76.79410970 rms 1.507356707
graham 40 scale size 64 ratio 1.600000

[6, -48, -55, -90, -104, 7] [[1, 2, -1, -1], [0, -6, 48, 55]]

bad 8897.127867 comp 115.7156147 rms .6644554968
graham 61 scale size 102 ratio 1.672131

[11, -47, -31, -100, -80, 60] [[1, 4, -8, -4], [0, -11, 47, 31]]

bad 8956.989107 comp 107.3460098 rms .7773028044
graham 58 scale size 105 ratio 1.810345

[9, 27, 9, 22, -11, -55] [[9, 14, 20, 25], [0, 1, 3, 1]]

bad 8959.675660 comp 50.08480578 rms 3.571743808
graham 27 scale size 45 ratio 1.666667

[5, 20, 7, 20, -3, -40] [[1, 1, 0, 2], [0, 5, 20, 7]]

bad 9017.955004 comp 36.46768805 rms 6.780966544
graham 20 scale size 35 ratio 1.750000

[11, 35, 10, 30, -15, -75] [[1, 4, 10, 5], [0, -11, -35, -10]]

bad 9042.553516 comp 65.14194852 rms 2.130932032
graham 35 scale size 59 ratio 1.685714

[14, 30, 4, 15, -33, -75] [[2, 1, 0, 5], [0, 7, 15, 2]]

bad 9063.321564 comp 61.52250182 rms 2.394525208
graham 30 scale size 46 ratio 1.533333

[4, -10, -10, -25, -27, 5] [[2, 3, 5, 6], [0, 2, -5, -5]]

bad 9074.144988 comp 27.74745759 rms 11.78580691
graham 14 scale size 24 ratio 1.714286

[32, -44, -14, -144, -112, 91] [[2, 0, 9, 7], [0, 16, -22, -7]]

bad 9171.116574 comp 143.0639478 rms .4480864422
graham 76 scale size 120 ratio 1.578947

[10, 38, 36, 37, 29, -23] [[2, 3, 4, 5], [0, 5, 19, 18]]

bad 9246.679618 comp 74.03029640 rms 1.687201038
graham 38 scale size 66 ratio 1.736842

[3, 58, 40, 85, 55, -70] [[1, 1, -9, -5], [0, 3, 58, 40]]

bad 9420.219585 comp 111.2094301 rms .7616891970
graham 58 scale size 113 ratio 1.948276

[16, -46, -19, -110, -75, 85] [[1, 9, -19, -6], [0, -16, 46, 19]]

bad 9446.600087 comp 112.1209344 rms .7514535032
graham 62 scale size 108 ratio 1.741935

[17, -35, -38, -95, -108, 10] [[1, 10, -15, -16], [0, -17, 35, 38]]

bad 9461.679755 comp 105.3585759 rms .8523705986
graham 55 scale size 87 ratio 1.581818

[3, -9, -1, -21, -10, 23] [[1, 1, 4, 3], [0, 3, -9, -1]]

bad 9725.542432 comp 21.92998710 rms 20.22260414
graham 12 scale size 21 ratio 1.750000

[7, -13, -14, -37, -42, 4] [[1, 5, -4, -4], [0, -7, 13, 14]]

bad 9771.889199 comp 40.50939722 rms 5.954797154
graham 21 scale size 33 ratio 1.571429

[6, -41, -19, -79, -47, 71] [[1, -1, 20, 11], [0, 6, -41, -19]]

bad 9872.563354 comp 86.08168623 rms 1.332319542
graham 47 scale size 88 ratio 1.872340

[62, -65, -17, -247, -201, 143] [[1, -21, 26, 9], [0, 62, -65, -17]]

bad 9873.649021 comp 246.8601962 rms .1620225808
graham 127 scale size 192 ratio 1.511811

[10, -20, -10, -55, -44, 33] [[10, 16, 23, 28], [0, -1, 2, 1]]

bad 9980.657784 comp 55.22531575 rms 3.272523316
graham 30 scale size 50 ratio 1.666667

🔗Carl Lumma <ekin@lumma.org>

4/1/2003 1:07:30 PM

>NB Carl

Note bene?

-C.

🔗Gene Ward Smith <gwsmith@svpal.org>

4/1/2003 1:16:53 PM

--- In tuning-math@yahoogroups.com, Carl Lumma <ekin@l...> wrote:
> >NB Carl
>
> Note bene?

Yes; it was in your interest range, but not known.