User:ArrowHead294/Purely consistent EDOs by odd limit

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Below is a table of the first 50 EDOs that are purely consistent (approximate all harmonics with <25% relative error) in the 7-, 15-, 31-, and 63-odd-limits.


Tables

First 100 purely consistent EDOs
(25% maximum relative error)
7-odd-limit 15-odd-limit 31-odd-limit 63-odd-limit
10 87 311 3159811
15 224 16808 4393509
22 270 20567 7317929
31 311 25540 8595351
41 364 28342 10143327
46 400 31920 10881306
53 431 34691 16070278
56 494 60392 24700320
68 518 65322 27167203
72 764 90623 27783092
77 795 93664 32452446
84 805 116498 34531581
87 882 124702 39638069
99 925 143958 40326968
108 1012 148418 43237481
109 1376 164838 43272172
125 1506 165226 47518993
130 1665 165879 50203972
140 1802 175878 51781203
161 1870 185793 55331157
162 1889 195339 57807073
171 2029 195727 61698784
186 2096 209851 67708629
193 2159 210569 79746917
202 2190 212147 79863868
212 2320 220633 81853117
214 2373 241200 81926438
217 2383 248975 89927296
224 2414 256119 92431072
239 2460 263323 92867999
243 2501 265323 95660980
248 2590 266901 97834962
255 2631 285172 98134212
270 2684 286350 98798699
280 2730 292376 99646444
301 2771 298467 101833237
311 2814 301592 103428565
323 2877 308712 105324066
332 2901 318400 109559534
333 2908 324296 111221150
342 2954 328645 116368138
354 2995 330645 122984398
357 3084 334553 125090598
364 3171 339998 127311771
369 3178 344145 128730110
373 3202 346742 130221303
385 3224 349643 133768421
395 3265 351672 140849220
400 3395 354185 141033767
410 3448 358987 143662814
426 3489 360565 144419890
431 3665 363466 148202011
441 3696 370499 151831483
451 3783 371564 153024392
463 4079 373677 158669053
472 4190 377373 159848761
482 4277 385729 160149635
484 4349 385912 160774629
487 4573 389618 161432866
494 4780 395256 164351477
503 4843 405050 166032371
513 5067 406296 168000923
518 5091 406426 169418494
525 5154 414965 175919039
535 5185 431385 179078850
540 5274 439524 181519805
544 5315 451051 183206113
556 5337 459944 183836220
566 5361 460438 186897394
571 5368 470372 187692062
581 5455 477470 191688790
593 5498 482971 191986192
597 5544 490175 194192607
602 5585 490358 194623862
612 5679 491510 197298018
622 5725 494589 199016588
624 5768 530634 202587258
627 5809 536089 210410120
634 5855 536443 211409803
643 5886 536983 211563023
653 5896 542792 224166807
655 5949 547442 224571344
658 6079 550955 225595849
665 6166 570416 228238138
680 6219 571134 233266168
684 6303 579803 236240658
696 6349 587942 238732951
711 6380 589737 239096106
721 6390 590843 242738659
733 6443 597876 243218589
742 6510 606545 246336052
752 6597 607263 247619283
764 6650 610304 251714508
773 6669 610776 254187340

Results

These lists were generated using JavaScript code run in Microsoft Edge's console. I previously used Firefox on my personal computer but these are the latest results I've got after running the same script on my work laptop (which is much faster).

  • Computer: Microsoft Surface Laptop 4 (this is my work laptop)
  • OS: Windows 11 Pro
  • Applications open: Edge, File Explorer, Teams, Notepad, Outlook, Task Manager
    • 25% relative error:
      • 7-odd-limit: 7ms
      • 15-odd-limit: 24ms
      • 31-odd-limit: 2.891s
      • 63-odd-limit: 41m 27.139s
    • 12.5% relative error:

Appendix