User:ArrowHead294/Purely consistent EDOs by odd limit: Difference between revisions
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Below is a table of the first 50 EDOs that are [[Minimal consistent EDOs|purely consistent]] (approximate all harmonics with <25% relative error) in the 7-, 15-, 31-, and 63-odd-limits. | Below is a table of the first 50 EDOs that are [[Minimal consistent EDOs|purely consistent]] (approximate all harmonics with <25% relative error) in the 7-, 15-, 31-, and 63-odd-limits. | ||
== Tables == | == Tables == | ||
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{{!+}} style{{=}}"font-size: 105%; white-space: nowrap;" {{!}} First 50 purely consistent EDOs<br />(12.5% maximum relative error) | {{!+}} style{{=}}"font-size: 105%; white-space: nowrap;" {{!}} First 50 purely consistent EDOs<br />(12.5% maximum relative error) | ||
{{!-}} | {{!-}} | ||
! 7-odd-limit !! 15-odd-limit | ! 7-odd-limit !! 15-odd-limit !! 31-odd-limit | ||
{{EDOs|{{!-}} | {{EDOs|{{!-}} | ||
{{!}} 140 {{!!}} 2684 | {{!}} 140 {{!!}} 2684 {{!!}} 8794203 | ||
{{!-}} | {{!-}} | ||
{{!}} 171 {{!!}} 5585 | {{!}} 171 {{!!}} 5585 {{!!}} 11358058 | ||
{{!-}} | {{!-}} | ||
{{!}} 270 {{!!}} 6079 | {{!}} 270 {{!!}} 6079 {{!!}} 22375012 | ||
{{!-}} | {{!-}} | ||
{{!}} 301 {{!!}} 8269 | {{!}} 301 {{!!}} 8269 {{!!}} 22550890 | ||
{{!-}} | {{!-}} | ||
{{!}} 311 {{!!}} 8539 | {{!}} 311 {{!!}} 8539 {{!!}} 24163337 | ||
{{!-}} | {{!-}} | ||
{{!}} 342 {{!!}} 14124 | {{!}} 342 {{!!}} 14124 {{!!}} 28546912 | ||
{{!-}} | {{!-}} | ||
{{!}} 441 {{!!}} 14348 | {{!}} 441 {{!!}} 14348 {{!!}} 29591984 | ||
{{!-}} | {{!-}} | ||
{{!}} 472 {{!!}} 14618 | {{!}} 472 {{!!}} 14618 {{!!}} 40764249 | ||
{{!-}} | {{!-}} | ||
{{!}} 612 {{!!}} 20203 | {{!}} 612 {{!!}} 20203 {{!!}} 53108406 | ||
{{!-}} | {{!-}} | ||
{{!}} 665 {{!!}} 22887 | {{!}} 665 {{!!}} 22887 {{!!}} 53320553 | ||
{{!-}} | {{!-}} | ||
{{!}} 711 {{!!}} 24776 | {{!}} 711 {{!!}} 24776 {{!!}} 73916121 | ||
{{!-}} | {{!-}} | ||
{{!}} 882 {{!!}} 25658 | {{!}} 882 {{!!}} 25658 {{!!}} 78299696 | ||
{{!-}} | {{!-}} | ||
{{!}} 913 {{!!}} 26152 | {{!}} 913 {{!!}} 26152 {{!!}} 87960052 | ||
{{!-}} | {{!-}} | ||
{{!}} 935 {{!!}} 28472 | {{!}} 935 {{!!}} 28472 {{!!}} 99152884 | ||
{{!-}} | {{!-}} | ||
{{!}} 966 {{!!}} 31426 | {{!}} 966 {{!!}} 31426 {{!!}} 102463033 | ||
{{!-}} | {{!-}} | ||
{{!}} 1106 {{!!}} 37011 | {{!}} 1106 {{!!}} 37011 {{!!}} 110510942 | ||
{{!-}} | {{!-}} | ||
{{!}} 1137 {{!!}} 38900 | {{!}} 1137 {{!!}} 38900 {{!!}} 110871507 | ||
{{!-}} | {{!-}} | ||
{{!}} 1236 {{!!}} 40276 | {{!}} 1236 {{!!}} 40276 {{!!}} 113804283 | ||
{{!-}} | {{!-}} | ||
{{!}} 1277 {{!!}} 42165 | {{!}} 1277 {{!!}} 42165 {{!!}} 113821091 | ||
{{!-}} | {{!-}} | ||
{{!}} 1376 {{!!}} 43090 | {{!}} 1376 {{!!}} 43090 {{!!}} 124838045 | ||
{{!-}} | {{!-}} | ||
{{!}} 1407 {{!!}} 50704 | {{!}} 1407 {{!!}} 50704 {{!!}} 126340020 | ||
{{!-}} | {{!-}} | ||
{{!}} 1547 {{!!}} 56202 | {{!}} 1547 {{!!}} 56202 {{!!}} 130422003 | ||
{{!-}} | {{!-}} | ||
{{!}} 1578 {{!!}} 59467 | {{!}} 1578 {{!!}} 59467 {{!!}} 155571439 | ||
{{!-}} | {{!-}} | ||
{{!}} 1718 {{!!}} 65052 | {{!}} 1718 {{!!}} 65052 {{!!}} 155932004 | ||
{{!-}} | {{!-}} | ||
{{!}} 1749 {{!!}} 65546 | {{!}} 1749 {{!!}} 65546 {{!!}} 161191666 | ||
{{!-}} | {{!-}} | ||
{{!}} 1817 {{!!}} 68006 | {{!}} 1817 {{!!}} 68006 {{!!}} 167124836 | ||
{{!-}} | {{!-}} | ||
{{!}} 1848 {{!!}} 73591 | {{!}} 1848 {{!!}} 73591 {{!!}} 178482894 | ||
{{!-}} | {{!-}} | ||
{{!}} 1889 {{!!}} 74085 | {{!}} 1889 {{!!}} 74085 {{!!}} 201615917 | ||
{{!-}} | {{!-}} | ||
{{!}} 1988 {{!!}} 79670 | {{!}} 1988 {{!!}} 79670 {{!!}} 201976482 | ||
{{!-}} | {{!-}} | ||
{{!}} 2019 {{!!}} 81860 | {{!}} 2019 {{!!}} 81860 {{!!}} 212386033 | ||
{{!-}} | {{!-}} | ||
{{!}} 2159 {{!!}} 82130 | {{!}} 2159 {{!!}} 82130 {{!!}} 213334540 | ||
{{!-}} | {{!-}} | ||
{{!}} 2190 {{!!}} 82354 | {{!}} 2190 {{!!}} 82354 {{!!}} 224315225 | ||
{{!-}} | {{!-}} | ||
{{!}} 2243 {{!!}} 87939 | {{!}} 2243 {{!!}} 87939 {{!!}} 234231700 | ||
{{!-}} | {{!-}} | ||
{{!}} 2289 {{!!}} 88209 | {{!}} 2289 {{!!}} 88209 {{!!}} 238642328 | ||
{{!-}} | {{!-}} | ||
{{!}} 2460 {{!!}} 90893 | {{!}} 2460 {{!!}} 90893 {{!!}} 244853398 | ||
{{!-}} | {{!-}} | ||
{{!}} 2513 {{!!}} 93524 | {{!}} 2513 {{!!}} 93524 {{!!}} 256782590 | ||
{{!-}} | {{!-}} | ||
{{!}} 2600 {{!!}} 93794 | {{!}} 2600 {{!!}} 93794 {{!!}} 257658677 | ||
{{!-}} | {{!-}} | ||
{{!}} 2653 {{!!}} 94288 | {{!}} 2653 {{!!}} 94288 {{!!}} 258395037 | ||
{{!-}} | {{!-}} | ||
{{!}} 2684 {{!!}} 96478 | {{!}} 2684 {{!!}} 96478 {{!!}} 259166871 | ||
{{!-}} | {{!-}} | ||
{{!}} 2814 {{!!}} 102063 | {{!}} 2814 {{!!}} 102063 {{!!}} 263879091 | ||
{{!-}} | {{!-}} | ||
{{!}} 2824 {{!!}} 102287 | {{!}} 2824 {{!!}} 102287 {{!!}} 266442946 | ||
{{!-}} | {{!-}} | ||
{{!}} 2855 {{!!}} 102557 | {{!}} 2855 {{!!}} 102557 {{!!}} 273400310 | ||
{{!-}} | {{!-}} | ||
{{!}} 2954 {{!!}} 110602 | {{!}} 2954 {{!!}} 110602 {{!!}} 280945927 | ||
{{!-}} | {{!-}} | ||
{{!}} 2985 {{!!}} 110826 | {{!}} 2985 {{!!}} 110826 {{!!}} 283060666 | ||
{{!-}} | {{!-}} | ||
{{!}} 3125 {{!!}} 111096 | {{!}} 3125 {{!!}} 111096 {{!!}} 297010396 | ||
{{!-}} | {{!-}} | ||
{{!}} 3224 {{!!}} 116681 | {{!}} 3224 {{!!}} 116681 {{!!}} 302992294 | ||
{{!-}} | {{!-}} | ||
{{!}} 3255 {{!!}} 119365 | {{!}} 3255 {{!!}} 119365 {{!!}} 315209631 | ||
{{!-}} | {{!-}} | ||
{{!}} 3265 {{!!}} 121254 | {{!}} 3265 {{!!}} 121254 {{!!}} 326778258 | ||
{{!-}} | {{!-}} | ||
{{!}} 3296 {{!!}} 122630 | {{!}} 3296 {{!!}} 122630 {{!!}} 327138823 | ||
{{!-}} | {{!-}} | ||
{{!}} 3395 {{!!}} 128215 | {{!}} 3395 {{!!}} 128215 {{!!}} 338172585 | ||
{{!-}} | {{!-}} | ||
{{!}} 3426 {{!!}} 133058}} | {{!}} 3426 {{!!}} 133058 {{!!}} 357547921 | ||
{{!-}} | |||
{{!}} 3467 {{!!}} 136754 {{!!}} 359245623 | |||
{{!-}} | |||
{{!}} 3566 {{!!}} 138643 {{!!}} 360270128 | |||
{{!-}} | |||
{{!}} 3597 {{!!}} 142339 {{!!}} 360511328 | |||
{{!-}} | |||
{{!}} 3737 {{!!}} 142833 {{!!}} 367293532 | |||
{{!-}} | |||
{{!}} 3790 {{!!}} 147182 {{!!}} 368318037 | |||
{{!-}} | |||
{{!}} 3836 {{!!}} 152991 {{!!}} 368905979 | |||
{{!-}} | |||
{{!}} 3867 {{!!}} 153261 {{!!}} 369652273 | |||
{{!-}} | |||
{{!}} 3877 {{!!}} 155945 {{!!}} 371462960 | |||
{{!-}} | |||
{{!}} 4007 {{!!}} 159641 {{!!}} 377700182 | |||
{{!-}} | |||
{{!}} 4038 {{!!}} 161530 {{!!}} 380247229 | |||
{{!-}} | |||
{{!}} 4091 {{!!}} 167115 {{!!}} 383408960 | |||
{{!-}} | |||
{{!}} 4231 {{!!}} 167385 {{!!}} 385506891 | |||
{{!-}} | |||
{{!}} 4262 {{!!}} 169799 {{!!}} 388817040 | |||
{{!-}} | |||
{{!}} 4277 {{!!}} 170069 {{!!}} 399263578 | |||
{{!-}} | |||
{{!}} 4448 {{!!}} 170293 {{!!}} 400009872 | |||
{{!-}} | |||
{{!}} 4501 {{!!}} 170563 {{!!}} 406314606 | |||
{{!-}} | |||
{{!}} 4532 {{!!}} 175654 {{!!}} 412551828 | |||
{{!-}} | |||
{{!}} 4672 {{!!}} 175878 {{!!}} 417672664 | |||
{{!-}} | |||
{{!}} 4703 {{!!}} 176148 {{!!}} 417974256 | |||
{{!-}} | |||
{{!}} 4802 {{!!}} 178338 {{!!}} 422384884 | |||
{{!-}} | |||
{{!}} 4833 {{!!}} 178832 {{!!}} 429601856 | |||
{{!-}} | |||
{{!}} 4843 {{!!}} 181733 {{!!}} 430567388 | |||
{{!-}} | |||
{{!}} 4874 {{!!}} 184417 {{!!}} 445311569 | |||
{{!-}} | |||
{{!}} 4942 {{!!}} 184687 {{!!}} 451616303 | |||
{{!-}} | |||
{{!}} 4973 {{!!}} 190002 {{!!}} 453118278 | |||
{{!-}} | |||
{{!}} 5113 {{!!}} 190272 {{!!}} 455999878 | |||
{{!-}} | |||
{{!}} 5144 {{!!}} 190496 {{!!}} 458563733 | |||
{{!-}} | |||
{{!}} 5284 {{!!}} 192956 {{!!}} 470781070 | |||
{{!-}} | |||
{{!}} 5315 {{!!}} 193267 {{!!}} 471352204 | |||
{{!-}} | |||
{{!}} 5368 {{!!}} 198541 {{!!}} 481973902 | |||
{{!-}} | |||
{{!}} 5414 {{!!}} 199035 {{!!}} 487969924 | |||
{{!-}} | |||
{{!}} 5445 {{!!}} 201806 {{!!}} 499327982 | |||
{{!-}} | |||
{{!}} 5455 {{!!}} 204620 {{!!}} 510520814 | |||
{{!-}} | |||
{{!}} 5554 {{!!}} 207574 {{!!}} 510881379 | |||
{{!-}} | |||
{{!}} 5585 {{!!}} 210569 {{!!}} 528183606 | |||
{{!-}} | |||
{{!}} 5725 {{!!}} 215843 {{!!}} 555581311 | |||
{{!-}} | |||
{{!}} 5778 {{!!}} 224693 {{!!}} 582398871 | |||
{{!-}} | |||
{{!}} 5809 {{!!}} 226582 {{!!}} 584585353 | |||
{{!-}} | |||
{{!}} 5855 {{!!}} 235121 {{!!}} 593221204 | |||
{{!-}} | |||
{{!}} 5939 {{!!}} 235615 {{!!}} 596190249 | |||
{{!-}} | |||
{{!}} 6026 {{!!}} 238817 {{!!}} 612807969 | |||
{{!-}} | |||
{{!}} 6079 {{!!}} 239311 {{!!}} 622553580 | |||
{{!-}} | |||
{{!}} 6110 {{!!}} 241200 {{!!}} 624149219 | |||
{{!-}} | |||
{{!}} 6219 {{!!}} 243390 {{!!}} 626713074 | |||
{{!-}} | |||
{{!}} 6250 {{!!}} 243884 {{!!}} 635358859 | |||
{{!-}} | |||
{{!}} 6349 {{!!}} 244896 {{!!}} 635507277 | |||
{{!-}} | |||
{{!}} 6380 {{!!}} 249469 {{!!}} 637905906 | |||
{{!-}} | |||
{{!}} 6390 {{!!}} 249739 {{!!}} 643901928 | |||
{{!-}} | |||
{{!}} 6421 {{!!}} 252423 {{!!}} 655094760}} | |||
{{!)}} | {{!)}} | ||
</div> | </div> | ||
Revision as of 22:02, 31 March 2025
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
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:
- 7-odd-limit: 15ms
- 15-odd-limit: 0.438s
- 31-odd-limit: 49m 40.222s
- 25% relative error: