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Below is a table of the first 100 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 3000 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 ==
<onlyinclude>{{centre|<div style{{=}}"display: inline-grid; margin-right: 20px;">
<onlyinclude>{| class="wikitable mw-collapsible mw-collapsed" style="text-align: center; margin: auto auto auto auto;"
{{(!}} class{{=}}"wikitable"
|+ style="font-size: 105%; white-space: nowrap;" | First 3000 purely consistent EDOs
{{!+}} style{{=}}"font-size: 105%; white-space: nowrap;" {{!}} First 100 purely consistent EDOs
|-
{{!-}}
! rowspan="2" | &#35; !! colspan="4" | Odd limit
! rowspan{{=}}"2" {{!}} # !! colspan{{=}}"4" {{!}} 25% maximum error !! colspan{{=}}"3" {{!}} 12.5% maximum error
|-
{{!-}}
! 7 !! 15 !! 31 !! 63
! 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}}
|-
| 2 || {{EDOs|15 {{!!}} 224 {{!!}} 16808 {{!!}} 4393509}}
|-
| 3 || {{EDOs|22 {{!!}} 270 {{!!}} 20567 {{!!}} 7317929}}
|-
| 4 || {{EDOs|31 {{!!}} 311 {{!!}} 25540 {{!!}} 8595351}}
|-
| 5 || {{EDOs|41 {{!!}} 364 {{!!}} 28342 {{!!}} 10143327}}
|-
| 6 || {{EDOs|46 {{!!}} 400 {{!!}} 31920 {{!!}} 10881306}}
|-
| 7 || {{EDOs|53 {{!!}} 431 {{!!}} 34691 {{!!}} 16070278}}
|-
| 8 || {{EDOs|56 {{!!}} 494 {{!!}} 60392 {{!!}} 24700320}}
|-
| 9 || {{EDOs|68 {{!!}} 518 {{!!}} 65322 {{!!}} 27167203}}
|-
| 10 || {{EDOs|72 {{!!}} 764 {{!!}} 90623 {{!!}} 27783092}}
|-
| 11 || {{EDOs|77 {{!!}} 795 {{!!}} 93664 {{!!}} 32452446}}
|-
| 12 || {{EDOs|84 {{!!}} 805 {{!!}} 116498 {{!!}} 34531581}}
|-
| 13 || {{EDOs|87 {{!!}} 882 {{!!}} 124702 {{!!}} 39638069}}
|-
| 14 || {{EDOs|99 {{!!}} 925 {{!!}} 143958 {{!!}} 40326968}}
|-
| 15 || {{EDOs|108 {{!!}} 1012 {{!!}} 148418 {{!!}} 43237481}}
|-
| 16 || {{EDOs|109 {{!!}} 1376 {{!!}} 164838 {{!!}} 43272172}}
|-
| 17 || {{EDOs|125 {{!!}} 1506 {{!!}} 165226 {{!!}} 47518993}}
|-
| 18 || {{EDOs|130 {{!!}} 1665 {{!!}} 165879 {{!!}} 50203972}}
|-
| 19 || {{EDOs|140 {{!!}} 1802 {{!!}} 175878 {{!!}} 51781203}}
|-
| 20 || {{EDOs|161 {{!!}} 1870 {{!!}} 185793 {{!!}} 55331157}}
|-
| 21 || {{EDOs|162 {{!!}} 1889 {{!!}} 195339 {{!!}} 57807073}}
|-
| 22 || {{EDOs|171 {{!!}} 2029 {{!!}} 195727 {{!!}} 61698784}}
|-
| 23 || {{EDOs|186 {{!!}} 2096 {{!!}} 209851 {{!!}} 67708629}}
|-
| 24 || {{EDOs|193 {{!!}} 2159 {{!!}} 210569 {{!!}} 79746917}}
|-
| 25 || {{EDOs|202 {{!!}} 2190 {{!!}} 212147 {{!!}} 79863868}}
|-
| 26 || {{EDOs|212 {{!!}} 2320 {{!!}} 220633 {{!!}} 81853117}}
|-
| 27 || {{EDOs|214 {{!!}} 2373 {{!!}} 241200 {{!!}} 81926438}}
|-
| 28 || {{EDOs|217 {{!!}} 2383 {{!!}} 248975 {{!!}} 89927296}}
|-
| 29 || {{EDOs|224 {{!!}} 2414 {{!!}} 256119 {{!!}} 92431072}}
|-
| 30 || {{EDOs|239 {{!!}} 2460 {{!!}} 263323 {{!!}} 92867999}}
|-
| 31 || {{EDOs|243 {{!!}} 2501 {{!!}} 265323 {{!!}} 95660980}}
|-
| 32 || {{EDOs|248 {{!!}} 2590 {{!!}} 266901 {{!!}} 97834962}}
|-
| 33 || {{EDOs|255 {{!!}} 2631 {{!!}} 285172 {{!!}} 98134212}}
|-
| 34 || {{EDOs|270 {{!!}} 2684 {{!!}} 286350 {{!!}} 98798699}}
|-
| 35 || {{EDOs|280 {{!!}} 2730 {{!!}} 292376 {{!!}} 99646444}}
|-
| 36 || {{EDOs|301 {{!!}} 2771 {{!!}} 298467 {{!!}} 101833237}}
|-
| 37 || {{EDOs|311 {{!!}} 2814 {{!!}} 301592 {{!!}} 103428565}}
|-
| 38 || {{EDOs|323 {{!!}} 2877 {{!!}} 308712 {{!!}} 105324066}}
|-
| 39 || {{EDOs|332 {{!!}} 2901 {{!!}} 318400 {{!!}} 109559534}}
|-
| 40 || {{EDOs|333 {{!!}} 2908 {{!!}} 324296 {{!!}} 111221150}}
|-
| 41 || {{EDOs|342 {{!!}} 2954 {{!!}} 328645 {{!!}} 116368138}}
|-
| 42 || {{EDOs|354 {{!!}} 2995 {{!!}} 330645 {{!!}} 122984398}}
|-
| 43 || {{EDOs|357 {{!!}} 3084 {{!!}} 334553 {{!!}} 125090598}}
|-
| 44 || {{EDOs|364 {{!!}} 3171 {{!!}} 339998 {{!!}} 127311771}}
|-
| 45 || {{EDOs|369 {{!!}} 3178 {{!!}} 344145 {{!!}} 128730110}}
|-
| 46 || {{EDOs|373 {{!!}} 3202 {{!!}} 346742 {{!!}} 130221303}}
|-
| 47 || {{EDOs|385 {{!!}} 3224 {{!!}} 349643 {{!!}} 133768421}}
|-
| 48 || {{EDOs|395 {{!!}} 3265 {{!!}} 351672 {{!!}} 140849220}}
|-
| 49 || {{EDOs|400 {{!!}} 3395 {{!!}} 354185 {{!!}} 141033767}}
|-
| 50 || {{EDOs|410 {{!!}} 3448 {{!!}} 358987 {{!!}} 143662814}}
|-
| 51 || {{EDOs|426 {{!!}} 3489 {{!!}} 360565 {{!!}} 144419890}}
|-
| 52 || {{EDOs|431 {{!!}} 3665 {{!!}} 363466 {{!!}} 148202011}}
|-
| 53 || {{EDOs|441 {{!!}} 3696 {{!!}} 370499 {{!!}} 151831483}}
|-
| 54 || {{EDOs|451 {{!!}} 3783 {{!!}} 371564 {{!!}} 153024392}}
|-
| 55 || {{EDOs|463 {{!!}} 4079 {{!!}} 373677 {{!!}} 158669053}}
|-
| 56 || {{EDOs|472 {{!!}} 4190 {{!!}} 377373 {{!!}} 159848761}}
|-
| 57 || {{EDOs|482 {{!!}} 4277 {{!!}} 385729 {{!!}} 160149635}}
|-
| 58 || {{EDOs|484 {{!!}} 4349 {{!!}} 385912 {{!!}} 160774629}}
|-
| 59 || {{EDOs|487 {{!!}} 4573 {{!!}} 389618 {{!!}} 161432866}}
|-
| 60 || {{EDOs|494 {{!!}} 4780 {{!!}} 395256 {{!!}} 164351477}}
|-
| 61 || {{EDOs|503 {{!!}} 4843 {{!!}} 405050 {{!!}} 166032371}}
|-
| 62 || {{EDOs|513 {{!!}} 5067 {{!!}} 406296 {{!!}} 168000923}}
|-
| 63 || {{EDOs|518 {{!!}} 5091 {{!!}} 406426 {{!!}} 169418494}}
|-
| 64 || {{EDOs|525 {{!!}} 5154 {{!!}} 414965 {{!!}} 175919039}}
|-
| 65 || {{EDOs|535 {{!!}} 5185 {{!!}} 431385 {{!!}} 179078850}}
|-
| 66 || {{EDOs|540 {{!!}} 5274 {{!!}} 439524 {{!!}} 181519805}}
|-
| 67 || {{EDOs|544 {{!!}} 5315 {{!!}} 451051 {{!!}} 183206113}}
|-
| 68 || {{EDOs|556 {{!!}} 5337 {{!!}} 459944 {{!!}} 183836220}}
|-
| 69 || {{EDOs|566 {{!!}} 5361 {{!!}} 460438 {{!!}} 186897394}}
|-
| 70 || {{EDOs|571 {{!!}} 5368 {{!!}} 470372 {{!!}} 187692062}}
|-
| 71 || {{EDOs|581 {{!!}} 5455 {{!!}} 477470 {{!!}} 191688790}}
|-
| 72 || {{EDOs|593 {{!!}} 5498 {{!!}} 482971 {{!!}} 191986192}}
|-
| 73 || {{EDOs|597 {{!!}} 5544 {{!!}} 490175 {{!!}} 194192607}}
|-
| 74 || {{EDOs|602 {{!!}} 5585 {{!!}} 490358 {{!!}} 194623862}}
|-
| 75 || {{EDOs|612 {{!!}} 5679 {{!!}} 491510 {{!!}} 197298018}}
|-
| 76 || {{EDOs|622 {{!!}} 5725 {{!!}} 494589 {{!!}} 199016588}}
|-
| 77 || {{EDOs|624 {{!!}} 5768 {{!!}} 530634 {{!!}} 202587258}}
|-
| 78 || {{EDOs|627 {{!!}} 5809 {{!!}} 536089 {{!!}} 210410120}}
|-
| 79 || {{EDOs|634 {{!!}} 5855 {{!!}} 536443 {{!!}} 211409803}}
|-
| 80 || {{EDOs|643 {{!!}} 5886 {{!!}} 536983 {{!!}} 211563023}}
|-
| 81 || {{EDOs|653 {{!!}} 5896 {{!!}} 542792 {{!!}} 224166807}}
|-
| 82 || {{EDOs|655 {{!!}} 5949 {{!!}} 547442 {{!!}} 224571344}}
|-
| 83 || {{EDOs|658 {{!!}} 6079 {{!!}} 550955 {{!!}} 225595849}}
|-
| 84 || {{EDOs|665 {{!!}} 6166 {{!!}} 570416 {{!!}} 228238138}}
|-
| 85 || {{EDOs|680 {{!!}} 6219 {{!!}} 571134 {{!!}} 233266168}}
|-
| 86 || {{EDOs|684 {{!!}} 6303 {{!!}} 579803 {{!!}} 236240658}}
|-
| 87 || {{EDOs|696 {{!!}} 6349 {{!!}} 587942 {{!!}} 238732951}}
|-
| 88 || {{EDOs|711 {{!!}} 6380 {{!!}} 589737 {{!!}} 239096106}}
|-
| 89 || {{EDOs|721 {{!!}} 6390 {{!!}} 590843 {{!!}} 242738659}}
|-
| 90 || {{EDOs|733 {{!!}} 6443 {{!!}} 597876 {{!!}} 243218589}}
|-
| 91 || {{EDOs|742 {{!!}} 6510 {{!!}} 606545 {{!!}} 246336052}}
|-
| 92 || {{EDOs|752 {{!!}} 6597 {{!!}} 607263 {{!!}} 247619283}}
|-
| 93 || {{EDOs|764 {{!!}} 6650 {{!!}} 610304 {{!!}} 251714508}}
|-
| 94 || {{EDOs|773 {{!!}} 6669 {{!!}} 610776 {{!!}} 254187340}}
|-
| 95 || {{EDOs|774 {{!!}} 6874 {{!!}} 612764 {{!!}} 257482799}}
|-
| 96 || {{EDOs|783 {{!!}} 6961 {{!!}} 642696 {{!!}} 262059060}}
|-
| 97 || {{EDOs|795 {{!!}} 7033 {{!!}} 643349 {{!!}} 262561663}}
|-
| 98 || {{EDOs|805 {{!!}} 7091 {{!!}} 646915 {{!!}} 267404288}}
|-
| 99 || {{EDOs|810 {{!!}} 7163 {{!!}} 649428 {{!!}} 271719416}}
|-
| 100 || {{EDOs|814 {{!!}} 7344 {{!!}} 652630 {{!!}} 273715325}}
|-
| 101 || {{EDOs|826 {{!!}} 7387 {{!!}} 666236 {{!!}} 273843617}}
|-
| 102 || {{EDOs|836 {{!!}} 7455 {{!!}} 669749 {{!!}} 274641193}}
|-
| 103 || {{EDOs|851 {{!!}} 7474 {{!!}} 675269 {{!!}} 276863944}}
|-
| 104 || {{EDOs|867 {{!!}} 7527 {{!!}} 684507 {{!!}} 277182431}}
|-
| 105 || {{EDOs|882 {{!!}} 7585 {{!!}} 687632 {{!!}} 277547615}}
|-
| 106 || {{EDOs|892 {{!!}} 7614 {{!!}} 710208 {{!!}} 279507245}}
|-
| 107 || {{EDOs|894 {{!!}} 7734 {{!!}} 729980 {{!!}} 279705044}}
|-
| 108 || {{EDOs|904 {{!!}} 7744 {{!!}} 732129 {{!!}} 279804517}}
|-
| 109 || {{EDOs|913 {{!!}} 7775 {{!!}} 736360 {{!!}} 280679380}}
|-
| 110 || {{EDOs|920 {{!!}} 7881 {{!!}} 739261 {{!!}} 285269110}}
|-
| 111 || {{EDOs|923 {{!!}} 7968 {{!!}} 739914 {{!!}} 286490761}}
|-
| 112 || {{EDOs|925 {{!!}} 7999 {{!!}} 744899 {{!!}} 297283516}}
|-
| 113 || {{EDOs|935 {{!!}} 8021 {{!!}} 746294 {{!!}} 298396184}}
|-
| 114 || {{EDOs|944 {{!!}} 8045 {{!!}} 751267 {{!!}} 299947928}}
|-
| 115 || {{EDOs|945 {{!!}} 8108 {{!!}} 753168 {{!!}} 301706333}}
|-
| 116 || {{EDOs|954 {{!!}} 8175 {{!!}} 763102 {{!!}} 305234183}}
|-
| 117 || {{EDOs|956 {{!!}} 8228 {{!!}} 763820 {{!!}} 307372291}}
|-
| 118 || {{EDOs|966 {{!!}} 8238 {{!!}} 766861 {{!!}} 308235148}}
|-
| 119 || {{EDOs|976 {{!!}} 8269 {{!!}} 771834 {{!!}} 309259653}}
|-
| 120 || {{EDOs|981 {{!!}} 8315 {{!!}} 775347 {{!!}} 309492839}}
|-
| 121 || {{EDOs|985 {{!!}} 8399 {{!!}} 775530 {{!!}} 318012002}}
|-
| 122 || {{EDOs|997 {{!!}} 8452 {{!!}} 785464 {{!!}} 319145314}}
|-
| 123 || {{EDOs|1007 {{!!}} 8493 {{!!}} 791767 {{!!}} 319859753}}
|-
| 124 || {{EDOs|1012 {{!!}} 8539 {{!!}} 824588 {{!!}} 322085499}}
|-
| 125 || {{EDOs|1022 {{!!}} 8580 {{!!}} 829142 {{!!}} 322965506}}
|-
| 126 || {{EDOs|1034 {{!!}} 8626 {{!!}} 836917 {{!!}} 324305426}}
|-
| 127 || {{EDOs|1038 {{!!}} 8669 {{!!}} 839818 {{!!}} 326778258}}
|-
| 128 || {{EDOs|1043 {{!!}} 8732 {{!!}} 849034 {{!!}} 328392283}}
|-
| 129 || {{EDOs|1053 {{!!}} 8763 {{!!}} 850740 {{!!}} 330519792}}
|-
| 130 || {{EDOs|1060 {{!!}} 8787 {{!!}} 852075 {{!!}} 332441886}}
|-
| 131 || {{EDOs|1063 {{!!}} 8809 {{!!}} 855154 {{!!}} 334615598}}
|-
| 132 || {{EDOs|1065 {{!!}} 8850 {{!!}} 859279 {{!!}} 336660042}}
|-
| 133 || {{EDOs|1074 {{!!}} 9033 {{!!}} 861279 {{!!}} 339246399}}
|-
| 134 || {{EDOs|1075 {{!!}} 9074 {{!!}} 866153 {{!!}} 341491466}}
|-
| 135 || {{EDOs|1084 {{!!}} 9163 {{!!}} 876087 {{!!}} 343436478}}
|-
| 136 || {{EDOs|1091 {{!!}} 9281 {{!!}} 891199 {{!!}} 343669216}}
|-
| 137 || {{EDOs|1094 {{!!}} 9303 {{!!}} 896654 {{!!}} 345203764}}
|-
| 138 || {{EDOs|1096 {{!!}} 9344 {{!!}} 905140 {{!!}} 346254551}}
|-
| 139 || {{EDOs|1106 {{!!}} 9568 {{!!}} 911520 {{!!}} 347742318}}
|-
| 140 || {{EDOs|1115 {{!!}} 9775 {{!!}} 920777 {{!!}} 350198031}}
|-
| 141 || {{EDOs|1137 {{!!}} 10139 {{!!}} 922172 {{!!}} 352077690}}
|-
| 142 || {{EDOs|1152 {{!!}} 10158 {{!!}} 934600 {{!!}} 357820323}}
|-
| 143 || {{EDOs|1168 {{!!}} 10298 {{!!}} 937585 {{!!}} 358665208}}
|-
| 144 || {{EDOs|1178 {{!!}} 10341 {{!!}} 948507 {{!!}} 359239985}}
|-
| 145 || {{EDOs|1183 {{!!}} 10428 {{!!}} 948724 {{!!}} 361274042}}
|-
| 146 || {{EDOs|1190 {{!!}} 10459 {{!!}} 951408 {{!!}} 361360362}}
|-
| 147 || {{EDOs|1193 {{!!}} 10652 {{!!}} 958441 {{!!}} 365056163}}
|-
| 148 || {{EDOs|1205 {{!!}} 10729 {{!!}} 965315 {{!!}} 367069140}}
|-
| 149 || {{EDOs|1209 {{!!}} 10739 {{!!}} 965532 {{!!}} 370015739}}
|-
| 150 || {{EDOs|1214 {{!!}} 10792 {{!!}} 971341 {{!!}} 370050430}}
|-
| 151 || {{EDOs|1221 {{!!}} 10859 {{!!}} 977560 {{!!}} 372034094}}
|-
| 152 || {{EDOs|1224 {{!!}} 10900 {{!!}} 986099 {{!!}} 376536810}}
|-
| 153 || {{EDOs|1236 {{!!}} 10922 {{!!}} 1002907 {{!!}} 376550975}}
|-
| 154 || {{EDOs|1246 {{!!}} 10953 {{!!}} 1003914 {{!!}} 378645781}}
|-
| 155 || {{EDOs|1255 {{!!}} 11040 {{!!}} 1007697 {{!!}} 380769131}}
|-
| 156 || {{EDOs|1267 {{!!}} 11146 {{!!}} 1024505 {{!!}} 381911958}}
|-
| 157 || {{EDOs|1277 {{!!}} 11170 {{!!}} 1025223 {{!!}} 382937923}}
|-
| 158 || {{EDOs|1292 {{!!}} 11223 {{!!}} 1030314 {{!!}} 384211425}}
|-
| 159 || {{EDOs|1299 {{!!}} 11233 {{!!}} 1035157 {{!!}} 386963393}}
|-
| 160 || {{EDOs|1304 {{!!}} 11264 {{!!}} 1041313 {{!!}} 387847942}}
|-
| 161 || {{EDOs|1308 {{!!}} 11310 {{!!}} 1042031 {{!!}} 388190692}}
|-
| 162 || {{EDOs|1323 {{!!}} 11353 {{!!}} 1044761 {{!!}} 388382272}}
|-
| 163 || {{EDOs|1330 {{!!}} 11394 {{!!}} 1045072 {{!!}} 394716059}}
|-
| 164 || {{EDOs|1333 {{!!}} 11416 {{!!}} 1051965 {{!!}} 396881757}}
|-
 


== Results ==
== Results ==
Line 219: Line 6,016:
* OS: Windows 11 Pro
* OS: Windows 11 Pro
* Applications open: Edge, File Explorer, Teams, Notepad, Outlook, Task Manager
* Applications open: Edge, File Explorer, Teams, Notepad, Outlook, Task Manager
** 25% relative error:
** 7-odd-limit: 193ms
*** 7-odd-limit: 7ms
** 15-odd-limit: 1.104s
*** 15-odd-limit: 24ms
** 31-odd-limit: 2m&nbsp;57.753s
*** 31-odd-limit: 2.891s
** 63-odd-limit: 21h&nbsp;22m&nbsp;46.417s
*** 63-odd-limit: 41m&nbsp;27.139s
** 12.5% relative error:
*** 7-odd-limit: 15ms
*** 15-odd-limit: 0.438s
*** 31-odd-limit: 49m&nbsp;40.222s


== Appendix ==
== Appendix ==
Retrieved from "https://en.xen.wiki/w/User:ArrowHead294/Purely_consistent_EDOs_by_odd_limit"