User:ArrowHead294/Purely consistent EDOs by odd limit: Difference between revisions

Below is a table of the first 1,000 EDOs that are [[Minimal consistent EDOs|purely consistent]] (approximate all harmonics with <25% relative error) in the 7-, 15-, 31-, and 63-odd-limits.

{{!+}} style{{=}}"font-size: 105%; white-space: nowrap;" {{!}} First 100 purely consistent EDOs

! rowspan{{=}}"2" {{!}} # !! colspan{{=}}"4" {{!}} 25% maximum error !! colspan{{=}}"3" {{!}} 12.5% maximum error

! 7-odd-limit !! 15-odd-limit !! 31-odd-limit !! 63-odd-limit !! 7-odd-limit !! 15-odd-limit !! 31-odd-limit

{{!}} 1 {{EDOs|{{!!}} 10 {{!!}} 87 {{!!}} 311 {{!!}} 3159811 {{!!}} 140 {{!!}} 2684 {{!!}} 8794203}}

{{!}} 2 {{EDOs|{{!!}} 15 {{!!}} 224 {{!!}} 16808 {{!!}} 4393509 {{!!}} 171 {{!!}} 5585 {{!!}} 11358058}}

{{!}} 3 {{EDOs|{{!!}} 22 {{!!}} 270 {{!!}} 20567 {{!!}} 7317929 {{!!}} 270 {{!!}} 6079 {{!!}} 22375012}}

{{!}} 4 {{EDOs|{{!!}} 31 {{!!}} 311 {{!!}} 25540 {{!!}} 8595351 {{!!}} 301 {{!!}} 8269 {{!!}} 22550890}}

{{!}} 5 {{EDOs|{{!!}} 41 {{!!}} 364 {{!!}} 28342 {{!!}} 10143327 {{!!}} 311 {{!!}} 8539 {{!!}} 24163337}}

{{!}} 6 {{EDOs|{{!!}} 46 {{!!}} 400 {{!!}} 31920 {{!!}} 10881306 {{!!}} 342 {{!!}} 14124 {{!!}} 28546912}}

{{!}} 7 {{EDOs|{{!!}} 53 {{!!}} 431 {{!!}} 34691 {{!!}} 16070278 {{!!}} 441 {{!!}} 14348 {{!!}} 29591984}}

{{!}} 8 {{EDOs|{{!!}} 56 {{!!}} 494 {{!!}} 60392 {{!!}} 24700320 {{!!}} 472 {{!!}} 14618 {{!!}} 40764249}}

{{!}} 9 {{EDOs|{{!!}} 68 {{!!}} 518 {{!!}} 65322 {{!!}} 27167203 {{!!}} 612 {{!!}} 20203 {{!!}} 53108406}}

{{!}} 10 {{EDOs|{{!!}} 72 {{!!}} 764 {{!!}} 90623 {{!!}} 27783092 {{!!}} 665 {{!!}} 22887 {{!!}} 53320553}}

{{!}} 11 {{EDOs|{{!!}} 77 {{!!}} 795 {{!!}} 93664 {{!!}} 32452446 {{!!}} 711 {{!!}} 24776 {{!!}} 73916121}}

{{!}} 12 {{EDOs|{{!!}} 84 {{!!}} 805 {{!!}} 116498 {{!!}} 34531581 {{!!}} 882 {{!!}} 25658 {{!!}} 78299696}}

{{!}} 13 {{EDOs|{{!!}} 87 {{!!}} 882 {{!!}} 124702 {{!!}} 39638069 {{!!}} 913 {{!!}} 26152 {{!!}} 87960052}}

{{!}} 14 {{EDOs|{{!!}} 99 {{!!}} 925 {{!!}} 143958 {{!!}} 40326968 {{!!}} 935 {{!!}} 28472 {{!!}} 99152884}}

{{!}} 15 {{EDOs|{{!!}} 108 {{!!}} 1012 {{!!}} 148418 {{!!}} 43237481 {{!!}} 966 {{!!}} 31426 {{!!}} 102463033}}

{{!}} 16 {{EDOs|{{!!}} 109 {{!!}} 1376 {{!!}} 164838 {{!!}} 43272172 {{!!}} 1106 {{!!}} 37011 {{!!}} 110510942}}

{{!}} 17 {{EDOs|{{!!}} 125 {{!!}} 1506 {{!!}} 165226 {{!!}} 47518993 {{!!}} 1137 {{!!}} 38900 {{!!}} 110871507}}

{{!}} 18 {{EDOs|{{!!}} 130 {{!!}} 1665 {{!!}} 165879 {{!!}} 50203972 {{!!}} 1236 {{!!}} 40276 {{!!}} 113804283}}

{{!}} 19 {{EDOs|{{!!}} 140 {{!!}} 1802 {{!!}} 175878 {{!!}} 51781203 {{!!}} 1277 {{!!}} 42165 {{!!}} 113821091}}

{{!}} 20 {{EDOs|{{!!}} 161 {{!!}} 1870 {{!!}} 185793 {{!!}} 55331157 {{!!}} 1376 {{!!}} 43090 {{!!}} 124838045}}

{{!}} 21 {{EDOs|{{!!}} 162 {{!!}} 1889 {{!!}} 195339 {{!!}} 57807073 {{!!}} 1407 {{!!}} 50704 {{!!}} 126340020}}

{{!}} 22 {{EDOs|{{!!}} 171 {{!!}} 2029 {{!!}} 195727 {{!!}} 61698784 {{!!}} 1547 {{!!}} 56202 {{!!}} 130422003}}

{{!}} 23 {{EDOs|{{!!}} 186 {{!!}} 2096 {{!!}} 209851 {{!!}} 67708629 {{!!}} 1578 {{!!}} 59467 {{!!}} 155571439}}

{{!}} 24 {{EDOs|{{!!}} 193 {{!!}} 2159 {{!!}} 210569 {{!!}} 79746917 {{!!}} 1718 {{!!}} 65052 {{!!}} 155932004}}

{{!}} 25 {{EDOs|{{!!}} 202 {{!!}} 2190 {{!!}} 212147 {{!!}} 79863868 {{!!}} 1749 {{!!}} 65546 {{!!}} 161191666}}

{{!}} 26 {{EDOs|{{!!}} 212 {{!!}} 2320 {{!!}} 220633 {{!!}} 81853117 {{!!}} 1817 {{!!}} 68006 {{!!}} 167124836}}

{{!}} 27 {{EDOs|{{!!}} 214 {{!!}} 2373 {{!!}} 241200 {{!!}} 81926438 {{!!}} 1848 {{!!}} 73591 {{!!}} 178482894}}

{{!}} 28 {{EDOs|{{!!}} 217 {{!!}} 2383 {{!!}} 248975 {{!!}} 89927296 {{!!}} 1889 {{!!}} 74085 {{!!}} 201615917}}

{{!}} 29 {{EDOs|{{!!}} 224 {{!!}} 2414 {{!!}} 256119 {{!!}} 92431072 {{!!}} 1988 {{!!}} 79670 {{!!}} 201976482}}

{{!}} 30 {{EDOs|{{!!}} 239 {{!!}} 2460 {{!!}} 263323 {{!!}} 92867999 {{!!}} 2019 {{!!}} 81860 {{!!}} 212386033}}

{{!}} 31 {{EDOs|{{!!}} 243 {{!!}} 2501 {{!!}} 265323 {{!!}} 95660980 {{!!}} 2159 {{!!}} 82130 {{!!}} 213334540}}

{{!}} 32 {{EDOs|{{!!}} 248 {{!!}} 2590 {{!!}} 266901 {{!!}} 97834962 {{!!}} 2190 {{!!}} 82354 {{!!}} 224315225}}

{{!}} 33 {{EDOs|{{!!}} 255 {{!!}} 2631 {{!!}} 285172 {{!!}} 98134212 {{!!}} 2243 {{!!}} 87939 {{!!}} 234231700}}

{{!}} 34 {{EDOs|{{!!}} 270 {{!!}} 2684 {{!!}} 286350 {{!!}} 98798699 {{!!}} 2289 {{!!}} 88209 {{!!}} 238642328}}

{{!}} 35 {{EDOs|{{!!}} 280 {{!!}} 2730 {{!!}} 292376 {{!!}} 99646444 {{!!}} 2460 {{!!}} 90893 {{!!}} 244853398}}

{{!}} 36 {{EDOs|{{!!}} 301 {{!!}} 2771 {{!!}} 298467 {{!!}} 101833237 {{!!}} 2513 {{!!}} 93524 {{!!}} 256782590}}

{{!}} 37 {{EDOs|{{!!}} 311 {{!!}} 2814 {{!!}} 301592 {{!!}} 103428565 {{!!}} 2600 {{!!}} 93794 {{!!}} 257658677}}

{{!}} 38 {{EDOs|{{!!}} 323 {{!!}} 2877 {{!!}} 308712 {{!!}} 105324066 {{!!}} 2653 {{!!}} 94288 {{!!}} 258395037}}

{{!}} 39 {{EDOs|{{!!}} 332 {{!!}} 2901 {{!!}} 318400 {{!!}} 109559534 {{!!}} 2684 {{!!}} 96478 {{!!}} 259166871}}

{{!}} 40 {{EDOs|{{!!}} 333 {{!!}} 2908 {{!!}} 324296 {{!!}} 111221150 {{!!}} 2814 {{!!}} 102063 {{!!}} 263879091}}

{{!}} 41 {{EDOs|{{!!}} 342 {{!!}} 2954 {{!!}} 328645 {{!!}} 116368138 {{!!}} 2824 {{!!}} 102287 {{!!}} 266442946}}

{{!}} 42 {{EDOs|{{!!}} 354 {{!!}} 2995 {{!!}} 330645 {{!!}} 122984398 {{!!}} 2855 {{!!}} 102557 {{!!}} 273400310}}

{{!}} 43 {{EDOs|{{!!}} 357 {{!!}} 3084 {{!!}} 334553 {{!!}} 125090598 {{!!}} 2954 {{!!}} 110602 {{!!}} 280945927}}

{{!}} 44 {{EDOs|{{!!}} 364 {{!!}} 3171 {{!!}} 339998 {{!!}} 127311771 {{!!}} 2985 {{!!}} 110826 {{!!}} 283060666}}

{{!}} 45 {{EDOs|{{!!}} 369 {{!!}} 3178 {{!!}} 344145 {{!!}} 128730110 {{!!}} 3125 {{!!}} 111096 {{!!}} 297010396}}

{{!}} 46 {{EDOs|{{!!}} 373 {{!!}} 3202 {{!!}} 346742 {{!!}} 130221303 {{!!}} 3224 {{!!}} 116681 {{!!}} 302992294}}

{{!}} 47 {{EDOs|{{!!}} 385 {{!!}} 3224 {{!!}} 349643 {{!!}} 133768421 {{!!}} 3255 {{!!}} 119365 {{!!}} 315209631}}

{{!}} 48 {{EDOs|{{!!}} 395 {{!!}} 3265 {{!!}} 351672 {{!!}} 140849220 {{!!}} 3265 {{!!}} 121254 {{!!}} 326778258}}

{{!}} 49 {{EDOs|{{!!}} 400 {{!!}} 3395 {{!!}} 354185 {{!!}} 141033767 {{!!}} 3296 {{!!}} 122630 {{!!}} 327138823}}

{{!}} 50 {{EDOs|{{!!}} 410 {{!!}} 3448 {{!!}} 358987 {{!!}} 143662814 {{!!}} 3395 {{!!}} 128215 {{!!}} 338172585}}

{{!}} 51 {{EDOs|{{!!}} 426 {{!!}} 3489 {{!!}} 360565 {{!!}} 144419890 {{!!}} 3426 {{!!}} 133058 {{!!}} 357547921}}

{{!}} 52 {{EDOs|{{!!}} 431 {{!!}} 3665 {{!!}} 363466 {{!!}} 148202011 {{!!}} 3467 {{!!}} 136754 {{!!}} 359245623}}

{{!}} 53 {{EDOs|{{!!}} 441 {{!!}} 3696 {{!!}} 370499 {{!!}} 151831483 {{!!}} 3566 {{!!}} 138643 {{!!}} 360270128}}

{{!}} 54 {{EDOs|{{!!}} 451 {{!!}} 3783 {{!!}} 371564 {{!!}} 153024392 {{!!}} 3597 {{!!}} 142339 {{!!}} 360511328}}

{{!}} 55 {{EDOs|{{!!}} 463 {{!!}} 4079 {{!!}} 373677 {{!!}} 158669053 {{!!}} 3737 {{!!}} 142833 {{!!}} 367293532}}

{{!}} 56 {{EDOs|{{!!}} 472 {{!!}} 4190 {{!!}} 377373 {{!!}} 159848761 {{!!}} 3790 {{!!}} 147182 {{!!}} 368318037}}

{{!}} 57 {{EDOs|{{!!}} 482 {{!!}} 4277 {{!!}} 385729 {{!!}} 160149635 {{!!}} 3836 {{!!}} 152991 {{!!}} 368905979}}

{{!}} 58 {{EDOs|{{!!}} 484 {{!!}} 4349 {{!!}} 385912 {{!!}} 160774629 {{!!}} 3867 {{!!}} 153261 {{!!}} 369652273}}

{{!}} 59 {{EDOs|{{!!}} 487 {{!!}} 4573 {{!!}} 389618 {{!!}} 161432866 {{!!}} 3877 {{!!}} 155945 {{!!}} 371462960}}

{{!}} 60 {{EDOs|{{!!}} 494 {{!!}} 4780 {{!!}} 395256 {{!!}} 164351477 {{!!}} 4007 {{!!}} 159641 {{!!}} 377700182}}

{{!}} 61 {{EDOs|{{!!}} 503 {{!!}} 4843 {{!!}} 405050 {{!!}} 166032371 {{!!}} 4038 {{!!}} 161530 {{!!}} 380247229}}

{{!}} 62 {{EDOs|{{!!}} 513 {{!!}} 5067 {{!!}} 406296 {{!!}} 168000923 {{!!}} 4091 {{!!}} 167115 {{!!}} 383408960}}

{{!}} 63 {{EDOs|{{!!}} 518 {{!!}} 5091 {{!!}} 406426 {{!!}} 169418494 {{!!}} 4231 {{!!}} 167385 {{!!}} 385506891}}

{{!}} 64 {{EDOs|{{!!}} 525 {{!!}} 5154 {{!!}} 414965 {{!!}} 175919039 {{!!}} 4262 {{!!}} 169799 {{!!}} 388817040}}

{{!}} 65 {{EDOs|{{!!}} 535 {{!!}} 5185 {{!!}} 431385 {{!!}} 179078850 {{!!}} 4277 {{!!}} 170069 {{!!}} 399263578}}

{{!}} 66 {{EDOs|{{!!}} 540 {{!!}} 5274 {{!!}} 439524 {{!!}} 181519805 {{!!}} 4448 {{!!}} 170293 {{!!}} 400009872}}

{{!}} 67 {{EDOs|{{!!}} 544 {{!!}} 5315 {{!!}} 451051 {{!!}} 183206113 {{!!}} 4501 {{!!}} 170563 {{!!}} 406314606}}

{{!}} 68 {{EDOs|{{!!}} 556 {{!!}} 5337 {{!!}} 459944 {{!!}} 183836220 {{!!}} 4532 {{!!}} 175654 {{!!}} 412551828}}

{{!}} 69 {{EDOs|{{!!}} 566 {{!!}} 5361 {{!!}} 460438 {{!!}} 186897394 {{!!}} 4672 {{!!}} 175878 {{!!}} 417672664}}

{{!}} 70 {{EDOs|{{!!}} 571 {{!!}} 5368 {{!!}} 470372 {{!!}} 187692062 {{!!}} 4703 {{!!}} 176148 {{!!}} 417974256}}

{{!}} 71 {{EDOs|{{!!}} 581 {{!!}} 5455 {{!!}} 477470 {{!!}} 191688790 {{!!}} 4802 {{!!}} 178338 {{!!}} 422384884}}

{{!}} 72 {{EDOs|{{!!}} 593 {{!!}} 5498 {{!!}} 482971 {{!!}} 191986192 {{!!}} 4833 {{!!}} 178832 {{!!}} 429601856}}

{{!}} 73 {{EDOs|{{!!}} 597 {{!!}} 5544 {{!!}} 490175 {{!!}} 194192607 {{!!}} 4843 {{!!}} 181733 {{!!}} 430567388}}

{{!}} 74 {{EDOs|{{!!}} 602 {{!!}} 5585 {{!!}} 490358 {{!!}} 194623862 {{!!}} 4874 {{!!}} 184417 {{!!}} 445311569}}

{{!}} 75 {{EDOs|{{!!}} 612 {{!!}} 5679 {{!!}} 491510 {{!!}} 197298018 {{!!}} 4942 {{!!}} 184687 {{!!}} 451616303}}

{{!}} 76 {{EDOs|{{!!}} 622 {{!!}} 5725 {{!!}} 494589 {{!!}} 199016588 {{!!}} 4973 {{!!}} 190002 {{!!}} 453118278}}

{{!}} 77 {{EDOs|{{!!}} 624 {{!!}} 5768 {{!!}} 530634 {{!!}} 202587258 {{!!}} 5113 {{!!}} 190272 {{!!}} 455999878}}

{{!}} 78 {{EDOs|{{!!}} 627 {{!!}} 5809 {{!!}} 536089 {{!!}} 210410120 {{!!}} 5144 {{!!}} 190496 {{!!}} 458563733}}

{{!}} 79 {{EDOs|{{!!}} 634 {{!!}} 5855 {{!!}} 536443 {{!!}} 211409803 {{!!}} 5284 {{!!}} 192956 {{!!}} 470781070}}

{{!}} 80 {{EDOs|{{!!}} 643 {{!!}} 5886 {{!!}} 536983 {{!!}} 211563023 {{!!}} 5315 {{!!}} 193267 {{!!}} 471352204}}

{{!}} 81 {{EDOs|{{!!}} 653 {{!!}} 5896 {{!!}} 542792 {{!!}} 224166807 {{!!}} 5368 {{!!}} 198541 {{!!}} 481973902}}

{{!}} 82 {{EDOs|{{!!}} 655 {{!!}} 5949 {{!!}} 547442 {{!!}} 224571344 {{!!}} 5414 {{!!}} 199035 {{!!}} 487969924}}

{{!}} 83 {{EDOs|{{!!}} 658 {{!!}} 6079 {{!!}} 550955 {{!!}} 225595849 {{!!}} 5445 {{!!}} 201806 {{!!}} 499327982}}

{{!}} 84 {{EDOs|{{!!}} 665 {{!!}} 6166 {{!!}} 570416 {{!!}} 228238138 {{!!}} 5455 {{!!}} 204620 {{!!}} 510520814}}

{{!}} 85 {{EDOs|{{!!}} 680 {{!!}} 6219 {{!!}} 571134 {{!!}} 233266168 {{!!}} 5554 {{!!}} 207574 {{!!}} 510881379}}

{{!}} 86 {{EDOs|{{!!}} 684 {{!!}} 6303 {{!!}} 579803 {{!!}} 236240658 {{!!}} 5585 {{!!}} 210569 {{!!}} 528183606}}

{{!}} 87 {{EDOs|{{!!}} 696 {{!!}} 6349 {{!!}} 587942 {{!!}} 238732951 {{!!}} 5725 {{!!}} 215843 {{!!}} 555581311}}

{{!}} 88 {{EDOs|{{!!}} 711 {{!!}} 6380 {{!!}} 589737 {{!!}} 239096106 {{!!}} 5778 {{!!}} 224693 {{!!}} 582398871}}

{{!}} 89 {{EDOs|{{!!}} 721 {{!!}} 6390 {{!!}} 590843 {{!!}} 242738659 {{!!}} 5809 {{!!}} 226582 {{!!}} 584585353}}

{{!}} 90 {{EDOs|{{!!}} 733 {{!!}} 6443 {{!!}} 597876 {{!!}} 243218589 {{!!}} 5855 {{!!}} 235121 {{!!}} 593221204}}

{{!}} 91 {{EDOs|{{!!}} 742 {{!!}} 6510 {{!!}} 606545 {{!!}} 246336052 {{!!}} 5939 {{!!}} 235615 {{!!}} 596190249}}

{{!}} 92 {{EDOs|{{!!}} 752 {{!!}} 6597 {{!!}} 607263 {{!!}} 247619283 {{!!}} 6026 {{!!}} 238817 {{!!}} 612807969}}

{{!}} 93 {{EDOs|{{!!}} 764 {{!!}} 6650 {{!!}} 610304 {{!!}} 251714508 {{!!}} 6079 {{!!}} 239311 {{!!}} 622553580}}

{{!}} 94 {{EDOs|{{!!}} 773 {{!!}} 6669 {{!!}} 610776 {{!!}} 254187340 {{!!}} 6110 {{!!}} 241200 {{!!}} 624149219}}

{{!}} 95 {{EDOs|{{!!}} 774 {{!!}} 6874 {{!!}} 612764 {{!!}} 257482799 {{!!}} 6219 {{!!}} 243390 {{!!}} 626713074}}

{{!}} 96 {{EDOs|{{!!}} 783 {{!!}} 6961 {{!!}} 642696 {{!!}} 262059060 {{!!}} 6250 {{!!}} 243884 {{!!}} 635358859}}

{{!}} 97 {{EDOs|{{!!}} 795 {{!!}} 7033 {{!!}} 643349 {{!!}} 262561663 {{!!}} 6349 {{!!}} 244896 {{!!}} 635507277}}

{{!}} 98 {{EDOs|{{!!}} 805 {{!!}} 7091 {{!!}} 646915 {{!!}} 267404288 {{!!}} 6380 {{!!}} 249469 {{!!}} 637905906}}

{{!}} 99 {{EDOs|{{!!}} 810 {{!!}} 7163 {{!!}} 649428 {{!!}} 271719416 {{!!}} 6390 {{!!}} 249739 {{!!}} 643901928}}

{{!}} 100 {{EDOs|{{!!}} 814 {{!!}} 7344 {{!!}} 652630 {{!!}} 273715325 {{!!}} 6421 {{!!}} 252423 {{!!}} 655094760}}