User:Contribution/Impressions on EDOs sizes
Practical Boundaries of EDOs: [5 ; 99]-EDOs
0-4: Joke EDOs
5-11: XXS EDOs
12-16: XS EDOs
17-23: S EDOs
24-33: M EDOs
34-47: L EDOs
48-67: XL EDOs
68-99: XXL EDOs
100+: Nightmare EDOs
171, 270, 311, 342, 684: Joker EDOs.
Individual pages
| 5 | 6 | 7 | 8 | 9 | |||||
| 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 |
| 20 | 21 | 22 | 23 | 24 | 25 | 26 | 27 | 28 | 29 |
| 30 | 31 | 32 | 33 | 34 | 35 | 36 | 37 | 38 | 39 |
| 40 | 41 | 42 | 43 | 44 | 45 | 46 | 47 | 48 | 49 |
| 50 | 51 | 52 | 53 | 54 | 55 | 56 | 57 | 58 | 59 |
| 60 | 61 | 62 | 63 | 64 | 65 | 66 | 67 | 68 | 69 |
| 70 | 71 | 72 | 73 | 74 | 75 | 76 | 77 | 78 | 79 |
| 80 | 81 | 82 | 83 | 84 | 85 | 86 | 87 | 88 | 89 |
| 90 | 91 | 92 | 93 | 94 | 95 | 96 | 97 | 98 | 99 |
| 171 | 270 | 311 | 342 | 684 |
Gallery of ZPIs with height > 4
| Tuning | Strength | Closest EDO | Integer limit | ||||||
|---|---|---|---|---|---|---|---|---|---|
| ZPI | Steps per octave | Cents | Height | Integral | Gap | EDO | Octave | Consistent | Distinct |
| 9zpi | 5.03447559860338 | 238.356503373041 | 3.664837 | 1.131648 | 13.386581 | 5edo | 1191.78251686521 | 10 | 4 |
| 15zpi | 6.95668765658792 | 172.495885863671 | 4.166936 | 1.162332 | 14.234171 | 7edo | 1207.47120104570 | 6 | 5 |
| 19zpi | 8.13742532740116 | 147.466790995825 | 3.641859 | 0.881068 | 12.934091 | 8edo | 1179.73432796660 | 7 | 4 |
| 22zpi | 8.94999197142904 | 134.078332565073 | 3.998567 | 0.954565 | 13.186387 | 9edo | 1206.70499308566 | 8 | 6 |
| 26zpi | 10.0084563372591 | 119.898609691954 | 4.477141 | 1.082282 | 14.181485 | 10edo | 1198.98609691954 | 8 | 5 |
| 34zpi | 12.0231830072926 | 99.8071807833375 | 5.193290 | 1.269599 | 15.899282 | 12edo | 1197.68616940005 | 10 | 6 |
| 42zpi | 13.9002525327005 | 86.3293668353859 | 4.592177 | 0.984037 | 14.097244 | 14edo | 1208.61113569540 | 7 | 5 |
| 47zpi | 15.0534898676781 | 79.7157343943591 | 5.050324 | 1.104057 | 14.918297 | 15edo | 1195.73601591539 | 8 | 7 |
| 51zpi | 15.9443732426877 | 75.2616601314409 | 4.191572 | 0.812082 | 13.070433 | 16edo | 1204.18656210305 | 6 | 6 |
| 56zpi | 17.0445886606675 | 70.4035764012981 | 5.056957 | 1.032175 | 14.269437 | 17edo | 1196.86079882207 | 4 | 4 |
| 65zpi | 18.9480867166984 | 63.3309324546460 | 5.980169 | 1.313799 | 16.699651 | 19edo | 1203.28771663827 | 10 | 7 |
| 75zpi | 21.0279383259393 | 57.0669354931351 | 4.107322 | 0.716469 | 12.853639 | 21edo | 1198.40564535584 | 4 | 4 |
| 80zpi | 22.0251467420146 | 54.4831784348982 | 6.062600 | 1.258178 | 16.213941 | 22edo | 1198.62992556776 | 12 | 8 |
| 90zpi | 24.0057421830853 | 49.9880399800983 | 5.721613 | 1.092055 | 14.821136 | 24edo | 1199.71295952236 | 6 | 6 |
| 95zpi | 24.9650888246290 | 48.0671231906915 | 3.915820 | 0.639164 | 12.605015 | 25edo | 1201.67807976729 | 6 | 6 |
| 100zpi | 25.9356996537225 | 46.2682717652372 | 5.545073 | 1.031155 | 14.793013 | 26edo | 1202.97506589617 | 14 | 9 |
| 106zpi | 27.0866140827635 | 44.3023257293579 | 6.069233 | 1.185939 | 16.215619 | 27edo | 1196.16279469266 | 10 | 8 |
| 116zpi | 28.9399661541990 | 41.4651487014917 | 5.566209 | 1.000619 | 14.904418 | 29edo | 1202.48931234326 | 8 | 7 |
| 127zpi | 30.9783816349790 | 38.7366910944446 | 7.003472 | 1.403777 | 17.739476 | 31edo | 1200.83742392778 | 12 | 9 |
| 133zpi | 32.0701500181780 | 37.4179727665700 | 4.471728 | 0.689412 | 12.537826 | 32edo | 1197.37512853024 | 4 | 4 |
| 144zpi | 34.0448410043159 | 35.2476312005063 | 6.685147 | 1.241437 | 16.236989 | 34edo | 1198.41946081721 | 6 | 6 |
| 155zpi | 35.9823877000425 | 33.3496490006021 | 6.027497 | 1.028887 | 14.706508 | 36edo | 1200.58736402167 | 8 | 8 |
| 161zpi | 37.0275229191254 | 32.4083250889078 | 5.287327 | 0.891828 | 15.095854 | 37edo | 1199.10802828959 | 8 | 8 |
| 166zpi | 37.8901105027757 | 31.6705331305933 | 5.808723 | 0.986660 | 15.046792 | 38edo | 1203.48025896255 | 6 | 6 |
| 173zpi | 39.1237487937926 | 30.6719073963176 | 5.593908 | 0.926356 | 14.714802 | 39edo | 1196.20438845639 | 7 | 7 |
| 184zpi | 40.9880783925993 | 29.2768055263764 | 7.570230 | 1.423937 | 17.722623 | 41edo | 1200.34902658143 | 16 | 10 |
| 196zpi | 43.0264994477693 | 27.8897892090130 | 6.166118 | 1.035628 | 15.545919 | 43edo | 1199.26093598756 | 8 | 8 |
| 202zpi | 44.0154367628970 | 27.2631623869639 | 4.594960 | 0.647705 | 12.374694 | 44edo | 1199.57914502641 | 6 | 6 |
| 207zpi | 44.8397488079316 | 26.7619697233392 | 5.252141 | 0.837163 | 14.719415 | 45edo | 1204.28863755026 | 7 | 7 |
| 214zpi | 46.0089748051542 | 26.0818678330031 | 7.495674 | 1.356067 | 17.747832 | 46edo | 1199.76592031814 | 14 | 11 |
| 226zpi | 47.9883202080850 | 25.0060847055410 | 5.843508 | 0.890480 | 13.888482 | 48edo | 1200.29206586597 | 6 | 6 |
| 233zpi | 49.1412057629230 | 24.4194252332612 | 5.691547 | 0.920677 | 15.624024 | 49edo | 1196.55183642980 | 7 | 7 |
| 238zpi | 49.9385162652878 | 24.0295485277387 | 6.655352 | 1.111229 | 15.942083 | 50edo | 1201.47742638693 | 10 | 9 |
| 245zpi | 51.0796941521015 | 23.4927013546073 | 4.827438 | 0.657589 | 12.357000 | 51edo | 1198.12776908497 | 4 | 4 |
| 257zpi | 52.9968291550147 | 22.6428640945673 | 8.249774 | 1.486620 | 18.069918 | 53edo | 1200.07179701207 | 10 | 10 |
| 269zpi | 54.8936475332682 | 21.8604529653954 | 5.259547 | 0.755234 | 13.567055 | 55edo | 1202.32491309674 | 4 | 4 |
| 276zpi | 56.0083399588546 | 21.4253805929895 | 6.063216 | 0.931117 | 14.804703 | 56edo | 1199.82131320741 | 8 | 8 |
| 289zpi | 58.0667185533159 | 20.6658827964969 | 7.814035 | 1.358357 | 18.056292 | 58edo | 1198.62120219682 | 16 | 12 |
| 301zpi | 59.9201656607655 | 20.0266469020418 | 7.046396 | 1.131000 | 15.932359 | 60edo | 1201.59881412251 | 10 | 10 |
| 314zpi | 61.9380472360525 | 19.3741981471691 | 6.262952 | 0.952068 | 15.026453 | 62edo | 1201.20028512448 | 8 | 8 |
| 321zpi | 63.0192885705350 | 19.0417890652143 | 6.768662 | 1.049023 | 15.412920 | 63edo | 1199.63271110850 | 8 | 8 |
| 334zpi | 65.0158450885860 | 18.4570391781413 | 7.813349 | 1.269821 | 16.514861 | 65edo | 1199.70754657919 | 6 | 6 |
| 354zpi | 68.0493056282519 | 17.6342725163943 | 7.666604 | 1.254592 | 17.034505 | 68edo | 1199.13053111481 | 10 | 10 |
| 367zpi | 70.0040185665629 | 17.1418730606013 | 5.698371 | 0.763911 | 13.162600 | 70edo | 1199.93111424209 | 10 | 10 |
| 380zpi | 71.9506065993786 | 16.6781081733140 | 9.157547 | 1.625363 | 19.964746 | 72edo | 1200.82378847861 | 18 | 13 |
| 401zpi | 75.0911321481303 | 15.9805820697015 | 5.998297 | 0.842181 | 14.552090 | 75edo | 1198.54365522761 | 6 | 6 |
| 414zpi | 76.9918536925042 | 15.5860645308353 | 8.194847 | 1.311364 | 17.029289 | 77edo | 1200.12696887432 | 10 | 10 |
| 427zpi | 78.8924096211210 | 15.2105887722656 | 5.849779 | 0.795605 | 13.863351 | 79edo | 1201.63651300898 | 6 | 6 |
| 435zpi | 80.0731374302484 | 14.9862992572924 | 7.873146 | 1.247325 | 17.087322 | 80edo | 1198.90394058339 | 12 | 12 |
| 448zpi | 81.9541455954050 | 14.6423343356444 | 6.653983 | 0.941321 | 14.718732 | 82edo | 1200.67141552284 | 8 | 8 |
| 462zpi | 83.9972142607288 | 14.2861880666087 | 8.020965 | 1.241945 | 16.733121 | 84edo | 1200.03979759513 | 10 | 10 |
| 483zpi | 87.0139255957575 | 13.7908960178956 | 8.869041 | 1.439474 | 18.061741 | 87edo | 1199.80795355692 | 16 | 14 |
| 497zpi | 89.0229355804124 | 13.4796723133902 | 7.567368 | 1.124501 | 16.042570 | 89edo | 1199.69083589172 | 12 | 12 |
| 510zpi | 90.8518735990036 | 13.2083131856640 | 6.648203 | 0.968737 | 16.378662 | 91edo | 1201.95649989543 | 10 | 10 |
| 532zpi | 93.9836761074943 | 12.7681747480009 | 8.806201 | 1.394050 | 17.832744 | 94edo | 1200.20842631208 | 24 | 15 |
| 546zpi | 95.9543940692998 | 12.5059410946136 | 7.327322 | 1.045052 | 15.480737 | 96edo | 1200.57034508290 | 6 | 6 |
| 568zpi | 99.0473345956631 | 12.1154194093028 | 9.406495 | 1.510412 | 18.536483 | 99edo | 1199.42652152097 | 12 | 12 |
| 596zpi | 102.936629522070 | 11.6576577800491 | 8.543510 | 1.340775 | 18.270998 | 103edo | 1200.73875134506 | 15 | 15 |
| 604zpi | 104.045402613623 | 11.5334264643701 | 7.108036 | 0.992928 | 15.440645 | 104edo | 1199.47635229449 | 4 | 4 |
| 618zpi | 105.973005351557 | 11.3236384682977 | 8.193811 | 1.181299 | 16.039225 | 106edo | 1200.30567763955 | 6 | 6 |
| 640zpi | 108.992428830730 | 11.0099390652506 | 7.199006 | 1.025274 | 16.319873 | 109edo | 1200.08335811232 | 8 | 8 |
| 655zpi | 111.059577998833 | 10.8050113427643 | 9.038544 | 1.394739 | 18.041165 | 111edo | 1199.35625904684 | 22 | 16 |
| 669zpi | 112.963481821010 | 10.6229020268815 | 8.463533 | 1.261675 | 17.493023 | 113edo | 1200.38792903761 | 10 | 10 |
| 706zpi | 117.969513574257 | 10.1721195895637 | 9.850823 | 1.544280 | 18.861062 | 118edo | 1200.31011156852 | 12 | 12 |
| 729zpi | 121.077437013311 | 9.91101256849428 | 8.711082 | 1.316426 | 18.168031 | 121edo | 1199.23252078781 | 15 | 15 |
| 758zpi | 124.948712586176 | 9.60394049016206 | 8.648582 | 1.239477 | 16.588112 | 125edo | 1200.49256127026 | 12 | 12 |
| 796zpi | 130.003910460506 | 9.23049157328654 | 10.355108 | 1.634018 | 19.594551 | 130edo | 1199.96390452725 | 16 | 16 |
| 834zpi | 135.022078987411 | 8.88743536612176 | 7.819428 | 1.054602 | 15.712565 | 135edo | 1199.80377442644 | 4 | 4 |
| 849zpi | 136.994716528363 | 8.75946190050006 | 8.519205 | 1.209806 | 17.271891 | 137edo | 1200.04628036851 | 6 | 6 |
| 872zpi | 139.990541024216 | 8.57200773152536 | 10.076688 | 1.548424 | 19.514765 | 140edo | 1200.08108241355 | 10 | 10 |
| 911zpi | 145.078100536905 | 8.27140688745605 | 8.359912 | 1.161664 | 16.649019 | 145edo | 1199.35399868113 | 13 | 13 |
| 941zpi | 148.951279677564 | 8.05632554884826 | 9.035620 | 1.280257 | 17.129711 | 149edo | 1200.39250677839 | 18 | 18 |
| 965zpi | 152.052848107925 | 7.89199291517551 | 10.468420 | 1.593855 | 19.487224 | 152edo | 1199.58292310668 | 15 | 15 |
| 1019zpi | 158.953545367059 | 7.54937549350618 | 9.845175 | 1.436994 | 18.334134 | 159edo | 1200.35070346748 | 16 | 16 |
| 1035zpi | 161.004704587451 | 7.45319835886042 | 8.916011 | 1.272837 | 18.034264 | 161edo | 1199.96493577653 | 8 | 8 |
| 1114zpi | 170.995891689006 | 7.01771246166817 | 11.076998 | 1.652856 | 19.091741 | 171edo | 1200.02883094526 | 14 | 14 |
| 1210zpi | 182.999728466810 | 6.55738677895164 | 11.020824 | 1.643410 | 19.731996 | 183edo | 1200.00178054815 | 18 | 18 |
| 1266zpi | 189.933554886685 | 6.31799894818965 | 10.475446 | 1.520966 | 19.002922 | 190edo | 1200.41980015603 | 16 | 16 |
| 1291zpi | 193.021683290400 | 6.21691811792258 | 10.257644 | 1.453742 | 18.344849 | 193edo | 1199.86519675906 | 12 | 12 |
| 1332zpi | 198.058774452480 | 6.05880756011603 | 10.278915 | 1.464293 | 18.655774 | 198edo | 1199.64389690297 | 16 | 16 |
| 1488zpi | 217.024704123598 | 5.52932443726124 | 11.270977 | 1.627018 | 19.515371 | 217edo | 1199.86340288569 | 13 | 13 |
| 1546zpi | 224.002551156014 | 5.35708184485908 | 11.730463 | 1.700865 | 19.715639 | 224edo | 1199.98633324843 | 16 | 16 |
| 1936zpi | 270.017794631965 | 4.44415154799558 | 13.370691 | 1.998595 | 22.286976 | 270edo | 1199.92091795881 | 22 | 22 |