User:BudjarnLambeth/Sandbox

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This is a working out sandbox page, not a content page.


Tables of harmonics

Approximation of prime harmonics in 272ed23
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) -2.59 -6.05 +7.65 +3.89 -0.28 +9.86 +4.44 -8.51 +0.00 -2.17 +2.12
Relative (%) -13.0 -30.3 +38.3 +19.5 -1.4 +49.4 +22.2 -42.6 +0.0 -10.8 +10.6
Steps
(reduced) 		60
(60) 		95
(95) 		140
(140) 		169
(169) 		208
(208) 		223
(223) 		246
(246) 		255
(255) 		272
(0) 		292
(20) 		298
(26)
Approximation of prime harmonics in 272ed23
Harmonic 37 41 43 47 53 59 61 67 71 73 79
Error Absolute (¢) -4.84 -2.94 -5.57 +0.09 -8.33 +5.57 +7.73 +4.96 +4.35 -3.83 -0.88
Relative (%) -24.2 -14.7 -27.9 +0.5 -41.8 +27.9 +38.7 +24.8 +21.8 -19.2 -4.4
Steps
(reduced) 		313
(41) 		322
(50) 		326
(54) 		334
(62) 		344
(72) 		354
(82) 		357
(85) 		365
(93) 		370
(98) 		372
(100) 		379
(107)


60edo for comparison

Approximation of prime harmonics in 60edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.00 -1.96 -6.31 -8.83 +8.68 -0.53 -4.96 +2.49 -8.27 -9.58 -5.04
Relative (%) +0.0 -9.8 -31.6 -44.1 +43.4 -2.6 -24.8 +12.4 -41.4 -47.9 -25.2
Steps
(reduced) 		60
(0) 		95
(35) 		139
(19) 		168
(48) 		208
(28) 		222
(42) 		245
(5) 		255
(15) 		271
(31) 		291
(51) 		297
(57)
Approximation of prime harmonics in 60edo
Harmonic 37 41 43 47 53 59 61 67 71 73 79
Error Absolute (¢) +8.66 -9.06 +8.48 -5.51 +6.50 +0.83 +3.12 +0.69 +0.30 -7.79 -4.54
Relative (%) +43.3 -45.3 +42.4 -27.5 +32.5 +4.1 +15.6 +3.5 +1.5 -38.9 -22.7
Steps
(reduced) 		313
(13) 		321
(21) 		326
(26) 		333
(33) 		344
(44) 		353
(53) 		356
(56) 		364
(4) 		369
(9) 		371
(11) 		378
(18)
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