User:Overthink/Sandbox

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Approximation of prime harmonics in 43edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97 101 103 107 109 113
Error Absolute (¢) +0.0 -4.3 +4.4 +7.9 +6.8 -3.3 +6.7 +9.5 +13.6 +3.0 -0.8 -0.2 -10.5 -9.2 +4.3 -8.4 +1.3 -0.6 +4.4 -12.3 -4.5 -1.7 -3.5 -12.7 +5.7 -8.5 +13.4 +3.3 -0.9 -7.5
Relative (%) +0.0 -15.3 +15.7 +28.4 +24.4 -11.9 +23.9 +33.9 +48.7 +10.7 -3.0 -0.6 -37.5 -32.9 +15.3 -30.1 +4.6 -2.2 +15.8 -43.9 -16.2 -6.3 -12.7 -45.7 +20.4 -30.3 +48.0 +11.7 -3.2 -26.8
Steps
(reduced) 		43
(0) 		68
(25) 		100
(14) 		121
(35) 		149
(20) 		159
(30) 		176
(4) 		183
(11) 		195
(23) 		209
(37) 		213
(41) 		224
(9) 		230
(15) 		233
(18) 		239
(24) 		246
(31) 		253
(38) 		255
(40) 		261
(3) 		264
(6) 		266
(8) 		271
(13) 		274
(16) 		278
(20) 		284
(26) 		286
(28) 		288
(30) 		290
(32) 		291
(33) 		293
(35)
Approximation of odd harmonics in 44edo
Harmonic 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47 49 51 53 55 57 59 61
Error Absolute (¢) +7.1 -4.5 +13.0 -13.0 -5.9 +4.9 +2.6 +4.1 +2.5 -7.1 -1.0 -9.0 -5.9 +6.8 +0.4 +1.3 +8.5 -5.9 +12.1 +7.3 +6.7 +9.8 -11.0 -1.3 +11.3 -0.8 -10.4 +9.6 +4.5 +1.3
Relative (%) +26.2 -16.5 +47.6 -47.7 -21.5 +18.1 +9.7 +15.2 +9.1 -26.2 -3.7 -33.0 -21.5 +24.9 +1.5 +4.7 +31.2 -21.6 +44.2 +26.8 +24.4 +35.8 -40.2 -4.7 +41.3 -2.9 -38.0 +35.3 +16.4 +4.8
Steps
(reduced) 		70
(26) 		102
(14) 		124
(36) 		139
(7) 		152
(20) 		163
(31) 		172
(40) 		180
(4) 		187
(11) 		193
(17) 		199
(23) 		204
(28) 		209
(33) 		214
(38) 		218
(42) 		222
(2) 		226
(6) 		229
(9) 		233
(13) 		236
(16) 		239
(19) 		242
(22) 		244
(24) 		247
(27) 		250
(30) 		252
(32) 		254
(34) 		257
(37) 		259
(39) 		261
(41)
Approximation of odd harmonics in 45edo
Harmonic 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47 49 51 53 55 57 59 61
Error Absolute (¢) -8.6 -13.0 -8.8 +9.4 +8.7 +12.8 +5.1 +1.7 -4.2 +9.2 +11.7 +0.7 +0.8 +10.4 +1.6 +0.1 +4.9 -11.3 +4.2 -2.4 -4.9 -3.6 +1.2 +9.0 -6.9 +6.5 -4.3 -12.8 +7.5 +3.1
Relative (%) -32.3 -48.7 -33.1 +35.3 +32.6 +48.0 +19.0 +6.4 -15.7 +34.6 +44.0 +2.6 +3.0 +39.1 +6.1 +0.2 +18.2 -42.5 +15.7 -9.0 -18.2 -13.3 +4.4 +33.8 -25.9 +24.4 -16.1 -48.0 +28.1 +11.7
Steps
(reduced) 		71
(26) 		104
(14) 		126
(36) 		143
(8) 		156
(21) 		167
(32) 		176
(41) 		184
(4) 		191
(11) 		198
(18) 		204
(24) 		209
(29) 		214
(34) 		219
(39) 		223
(43) 		227
(2) 		231
(6) 		234
(9) 		238
(13) 		241
(16) 		244
(19) 		247
(22) 		250
(25) 		253
(28) 		255
(30) 		258
(33) 		260
(35) 		262
(37) 		265
(40) 		267
(42)
Approximation of prime harmonics in 46edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97 101 103 107 109 113
Error Absolute (¢) +0.0 +2.4 +5.0 -3.6 -3.5 -5.7 -0.6 -10.6 -2.2 -12.2 +2.8 +9.5 -11.7 +10.2 +12.8 -12.6 +10.4 +4.9 -1.0 +2.9 +7.0 +0.7 -6.6 +3.0 +10.5 -7.2 +11.0 -2.8 -8.8 +7.1
Relative (%) +0.0 +9.2 +19.1 -13.8 -13.4 -22.0 -2.3 -40.5 -8.4 -46.7 +10.7 +36.5 -44.7 +39.2 +48.9 -48.4 +39.8 +18.6 -4.0 +11.2 +26.8 +2.6 -25.2 +11.6 +40.4 -27.8 +42.1 -10.7 -33.6 +27.2
Steps
(reduced) 		46
(0) 		73
(27) 		107
(15) 		129
(37) 		159
(21) 		170
(32) 		188
(4) 		195
(11) 		208
(24) 		223
(39) 		228
(44) 		240
(10) 		246
(16) 		250
(20) 		256
(26) 		263
(33) 		271
(41) 		273
(43) 		279
(3) 		283
(7) 		285
(9) 		290
(14) 		293
(17) 		298
(22) 		304
(28) 		306
(30) 		308
(32) 		310
(34) 		311
(35) 		314
(38)
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