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{{Harmonics in equal|311|columns=50}}
{{Harmonics in equal|311|columns=50}}
{{Harmonics in equal|10257}}

Revision as of 21:59, 22 September 2025

Approximation of prime harmonics in 311edo
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 97 101 103 107 109 113 127 131 137 139 149 151 157 163 167 173 179 181 191 193 197 199 211 223 227 229
Error Absolute (¢) +0.00 +0.30 -0.46 -0.34 +0.45 +0.63 -0.78 -0.41 +0.66 +0.65 +0.95 -0.54 -0.77 +1.67 -1.84 -1.48 +1.92 -1.77 +1.72 +1.65 -0.14 -1.84 +1.40 +0.18 +1.65 +1.14 +1.92 +1.56 +0.37 -0.29 -1.86 -1.52 -1.88 +0.04 -0.62 -0.56 +1.44 -1.75 -1.28 -0.65 -1.80 -1.74 +1.62 -0.98 -1.77 +0.04 -1.01 -0.31 -0.22 +0.03
Relative (%) +0.0 +7.7 -12.0 -8.7 +11.7 +16.3 -20.1 -10.5 +17.2 +16.8 +24.5 -14.0 -19.9 +43.2 -47.7 -38.3 +49.8 -45.9 +44.6 +42.9 -3.5 -47.6 +36.3 +4.7 +42.7 +29.6 +49.8 +40.4 +9.5 -7.6 -48.1 -39.5 -48.8 +0.9 -16.1 -14.4 +37.3 -45.4 -33.2 -16.9 -46.7 -45.2 +42.0 -25.4 -45.8 +1.0 -26.2 -8.0 -5.7 +0.8
Steps
(reduced)
311
(0)
493
(182)
722
(100)
873
(251)
1076
(143)
1151
(218)
1271
(27)
1321
(77)
1407
(163)
1511
(267)
1541
(297)
1620
(65)
1666
(111)
1688
(133)
1727
(172)
1781
(226)
1830
(275)
1844
(289)
1887
(21)
1913
(47)
1925
(59)
1960
(94)
1983
(117)
2014
(148)
2053
(187)
2071
(205)
2080
(214)
2097
(231)
2105
(239)
2121
(255)
2173
(307)
2187
(10)
2207
(30)
2214
(37)
2245
(68)
2251
(74)
2269
(92)
2285
(108)
2296
(119)
2312
(135)
2327
(150)
2332
(155)
2357
(180)
2361
(184)
2370
(193)
2375
(198)
2401
(224)
2426
(249)
2434
(257)
2438
(261)
Approximation of prime harmonics in 10257edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.0000 +0.0046 -0.0019 -0.0046 -0.0456 -0.0480 -0.0124 +0.0009 -0.0205 -0.0364 -0.0224
Relative (%) +0.0 +4.0 -1.6 -3.9 -39.0 -41.0 -10.6 +0.7 -17.5 -31.1 -19.2
Steps
(reduced)
10257
(0)
16257
(6000)
23816
(3302)
28795
(8281)
35483
(4712)
37955
(7184)
41925
(897)
43571
(2543)
46398
(5370)
49828
(8800)
50815
(9787)