User:Lériendil/ET harmonic test page: Difference between revisions

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{{Harmonics in ED|58|137|prime}}
{{Harmonics in ED|58|137|prime}}
{{Harmonics in ED|58.1|137|prime}}

Revision as of 18:34, 17 February 2026

Approximation of prime harmonics in 58edo
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 +1.5 +6.8 +3.6 +7.3 +7.7 -1.5 -7.9 -7.6 +4.9 -7.1 -3.1 +5.4 +5.7 -3.4 -4.5 -4.0 +0.4 +3.5 +6.5 -0.2 +7.9 +5.1 +8.4 +4.2 -3.6 +3.8 -0.1 +9.2 +8.9
Relative (%) 0.0 +7.2 +32.8 +17.3 +35.3 +37.4 -7.3 -38.0 -36.7 +23.7 -34.3 -14.8 +26.2 +27.7 -16.6 -21.9 -19.3 +1.7 +16.7 +31.5 -1.0 +38.1 +24.8 +40.7 +20.5 -17.6 +18.3 -0.5 +44.5 +43.0
Steps

(reduced)

58

(0)

92

(34)

135

(19)

163

(47)

201

(27)

215

(41)

237

(5)

246

(14)

262

(30)

282

(50)

287

(55)

302

(12)

311

(21)

315

(25)

322

(32)

332

(42)

341

(51)

344

(54)

352

(4)

357

(9)

359

(11)

366

(18)

370

(22)

376

(28)

383

(35)

386

(38)

388

(40)

391

(43)

393

(45)

396

(48)

Approximation of prime harmonics in 58.1edo
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 (¢) -2.1 -1.8 +2.0 -2.2 +0.1 +0.1 -9.9 +4.0 +3.7 -5.1 +3.3 +6.8 -5.7 -5.5 +5.7 +4.3 +4.5 +8.8 -9.1 -6.2 +7.7 -5.2 -8.1 -5.0 -9.4 +3.3 -10.0 +6.6 -4.8 -5.2
Relative (%) -10.0 -8.6 +9.6 -10.7 +0.7 +0.4 -48.2 +19.5 +18.1 -24.9 +16.1 +33.1 -27.4 -26.6 +27.8 +20.8 +21.8 +42.4 -44.0 -30.0 +37.1 -25.0 -39.0 -24.0 -45.5 +15.8 -48.6 +32.1 -23.2 -25.2
Steps

(reduced)

58

(-0.1)

92

(33.9)

135

(18.8)

163

(46.8)

201

(26.7)

215

(40.7)

237

(4.6)

247

(14.6)

263

(30.6)

282

(49.6)

288

(55.6)

303

(12.5)

311

(20.5)

315

(24.5)

323

(32.5)

333

(42.5)

342

(51.5)

345

(54.5)

352

(3.4)

357

(8.4)

360

(11.4)

366

(17.4)

370

(21.4)

376

(27.4)

383

(34.4)

387

(38.4)

388

(39.4)

392

(43.4)

393

(44.4)

396

(47.4)