User:Overthink/Sandbox

Revision as of 17:53, 8 February 2026 by Overthink (talk | contribs) (Template testing: use proper mapping format)

Testing

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 97 101 103 107 109 113 127 131 137 139 149 151 157 163 167 173 179 181 191 193 197 199 211 223 227 229 233 239 241 251
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 +0.92 -0.65 +0.35 -0.58
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 +23.8 -17.0 +9.1 -15.0
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)
2446
(269)
2457
(280)
2461
(284)
2479
(302)

Scratchwork

Template testing

User:Overthink/Test template

Marvel
Subgroups 2.3.5.7, 2.3.5.7.11
Comma basis 225/224 (7-limit);
225/224, 385/384 (11-limit)
Reduced mapping ⟨1; 1 0 2 -1; 0 1 2 -3]
ET join 19 & 22 & 31
Generators (CWE)
MOS scales n/a
Ploidacot n/a
Pergen (P8, P5, ^1)
Color name Ruyoyoti
Minimax error 9-odd-limit: ? ¢;
11-limit 21-odd-limit: ? ¢
Target scale size 9-odd-limit: ? notes;
11-limit 21-odd-limit: ? notes