User:Contribution/Impressions on EDOs sizes
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My EDO list (23-limit mapping):
Small EDOs: 12fi, 14cf, 15g, 17cgh, 19, 22fh, 24d, 26i, 27eg, 29g
Medium EDOs: 31, 34dh, 36, 37, 41, 43, 46, 49fgh, 50, 53, 58hi
Large EDOs: 65d, 68e, 72, 77, 80, 87, 94, 99ef
Exceptional EDOs: 111, 171h, 172f, 248, 270, 311, 342f, 684h
| 12 | 14 | 15 | 17 | 19 | |||||
| 22 | 24 | 26 | 27 | 29 | |||||
| 31 | 34 | 36 | 37 | ||||||
| 41 | 43 | 46 | 49 | ||||||
| 50 | 53 | 58 | |||||||
| 65 | 68 | ||||||||
| 72 | 77 | ||||||||
| 80 | 87 | ||||||||
| 94 | 99 |
| 111 | 171 | 172 | 248 | 270 | 311 | 342 | 684 |
Gallery of best ZPIs
| Tuning | Strength | Closest EDO | Integer limit | ||||||
|---|---|---|---|---|---|---|---|---|---|
| ZPI | Steps per octave | Cents | Height | Integral | Gap | EDO | Octave | Consistent | Distinct |
| 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 |
| 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 |
| 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 |
| 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 |
| 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 |
| 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 |
| 257zpi | 52.9968291550147 | 22.6428640945673 | 8.249774 | 1.486620 | 18.069918 | 53edo | 1200.07179701207 | 10 | 10 |
| 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 |
| 380zpi | 71.9506065993786 | 16.6781081733140 | 9.157547 | 1.625363 | 19.964746 | 72edo | 1200.82378847861 | 18 | 13 |
| 414zpi | 76.9918536925042 | 15.5860645308353 | 8.194847 | 1.311364 | 17.029289 | 77edo | 1200.12696887432 | 10 | 10 |
| 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 |
| 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 |
| 655zpi | 111.059577998833 | 10.8050113427643 | 9.038544 | 1.394739 | 18.041165 | 111edo | 1199.35625904684 | 22 | 16 |
| 706zpi | 117.969513574257 | 10.1721195895637 | 9.850823 | 1.544280 | 18.861062 | 118edo | 1200.31011156852 | 12 | 12 |
| 796zpi | 130.003910460506 | 9.23049157328654 | 10.355108 | 1.634018 | 19.594551 | 130edo | 1199.96390452725 | 16 | 16 |
| 872zpi | 139.990541024216 | 8.57200773152536 | 10.076688 | 1.548424 | 19.514765 | 140edo | 1200.08108241355 | 10 | 10 |
| 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 |
| 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 |
| 1705zpi | 242.934231195669 | 4.93960852735271 | 11.384629 | 1.631497 | 19.962157 | 243edo | 1200.32487214671 | 10 | 10 |
| 1936zpi | 270.017794631965 | 4.44415154799558 | 13.370691 | 1.998595 | 22.286976 | 270edo | 1199.92091795881 | 22 | 22 |
| 2040zpi | 282.066063876742 | 4.25432249277737 | 11.026514 | 1.491063 | 18.869628 | 282edo | 1199.71894296322 | 28 | 24 |
| 2100zpi | 288.959426104593 | 4.15283216809007 | 10.631610 | 1.359133 | 17.289237 | 289edo | 1200.16849657803 | 10 | 10 |
| 2205zpi | 300.987043913283 | 3.98688257274532 | 11.722438 | 1.566848 | 18.581196 | 301edo | 1200.05165439634 | 18 | 18 |
| 2293zpi | 311.004029926555 | 3.85847090239759 | 13.066467 | 1.895394 | 22.370880 | 311edo | 1199.98445064565 | 42 | 25 |
| 2372zpi | 319.948565035409 | 3.75060285039002 | 10.740787 | 1.403356 | 18.462665 | 320edo | 1200.19291212481 | 20 | 20 |
| 2399zpi | 322.991983375731 | 3.71526248874128 | 11.323352 | 1.479976 | 18.943004 | 323edo | 1200.02978386343 | 10 | 10 |
| 2444zpi | 328.074125897684 | 3.65770996635754 | 11.115173 | 1.494672 | 19.606922 | 328edo | 1199.72886896527 | 15 | 15 |
| 2568zpi | 341.974850913987 | 3.50902996753355 | 13.478611 | 1.890555 | 20.767404 | 342edo | 1200.08824889647 | 12 | 12 |
| 5818zpi | 683.938934890938 | 1.75454260429165 | 14.267321 | 1.773752 | 20.109967 | 684edo | 1200.10714133549 | 18 | 18 |