User:Contribution/Impressions on EDOs sizes
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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 |
| 15zpi | 6.95668765658792 | 172.495885863671 | 4.166936 | 1.162332 | 14.234171 | 7edo | 1207.47120104570 | 6 | 5 |
| 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 |
| 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 |
| 149zpi | 34.9253760937452 | 34.3589714475518 | 4.150200 | 0.630873 | 12.775820 | 35edo | 1202.56400066431 | 3 | 3 |
| 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 |
| 220zpi | 47.0060419283620 | 25.5286331452629 | 4.284790 | 0.612871 | 13.012654 | 47edo | 1199.84575782736 | 2 | 2 |
| 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 |
| 251zpi | 52.0425742004559 | 23.0580446573968 | 4.088168 | 0.557410 | 12.619985 | 52edo | 1199.01832218463 | 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 |
| 282zpi | 56.9682909142655 | 21.0643496713977 | 4.871554 | 0.690239 | 13.705834 | 57edo | 1200.66793126967 | 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 |
| 309zpi | 61.1899579776371 | 19.6110610247283 | 4.522434 | 0.612136 | 13.103392 | 61edo | 1196.27472250842 | 6 | 6 |
| 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 |
| 326zpi | 63.7755578116328 | 18.8159859541224 | 4.294126 | 0.588980 | 13.437518 | 64edo | 1204.22310106383 | 3 | 3 |
| 334zpi | 65.0158450885860 | 18.4570391781413 | 7.813349 | 1.269821 | 16.514861 | 65edo | 1199.70754657919 | 6 | 6 |
| 340zpi | 65.9158158482913 | 18.2050390267772 | 4.469113 | 0.620786 | 13.998526 | 66edo | 1201.53257576729 | 2 | 2 |
| 342zpi | 66.2463426513037 | 18.1142075467676 | 4.114058 | 0.559460 | 13.529076 | 66edo | 1195.53769808666 | 4 | 4 |
| 347zpi | 66.9983955140918 | 17.9108766828245 | 5.331365 | 0.724895 | 13.386253 | 67edo | 1200.02873774924 | 4 | 4 |
| 354zpi | 68.0493056282519 | 17.6342725163943 | 7.666604 | 1.254592 | 17.034505 | 68edo | 1199.13053111481 | 10 | 10 |
| 360zpi | 68.9600161044447 | 17.4013880475683 | 4.142538 | 0.497993 | 11.609870 | 69edo | 1200.69577528221 | 6 | 6 |
| 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 |
| 388zpi | 73.1619269059893 | 16.4019736869692 | 4.830055 | 0.632086 | 13.094496 | 73edo | 1197.34407914875 | 6 | 6 |
| 394zpi | 74.0521612366564 | 16.2047937556479 | 5.084321 | 0.702774 | 14.386154 | 74edo | 1199.15473791794 | 6 | 6 |
| 400zpi | 74.9007628151052 | 16.0211986487005 | 4.358478 | 0.550005 | 13.117097 | 75edo | 1201.58989865254 | 6 | 6 |
| 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 |
| 421zpi | 78.0204348042082 | 15.3805859069024 | 5.366587 | 0.739351 | 14.204322 | 78edo | 1199.68570073838 | 8 | 8 |
| 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 |
| 441zpi | 80.9475780903969 | 14.8244089361132 | 5.190285 | 0.684638 | 13.540400 | 81edo | 1200.77712382517 | 8 | 8 |
| 448zpi | 81.9541455954050 | 14.6423343356444 | 6.653983 | 0.941321 | 14.718732 | 82edo | 1200.67141552284 | 8 | 8 |
| 453zpi | 82.6785590247544 | 14.5140410543526 | 4.375766 | 0.643829 | 16.646686 | 83edo | 1204.66540751127 | 3 | 3 |
| 462zpi | 83.9972142607288 | 14.2861880666087 | 8.020965 | 1.241945 | 16.733121 | 84edo | 1200.03979759513 | 10 | 10 |
| 470zpi | 85.1600591865025 | 14.0911127993931 | 4.906260 | 0.623964 | 13.123875 | 85edo | 1197.74458794841 | 4 | 4 |
| 475zpi | 85.8556112434555 | 13.9769548270670 | 4.819222 | 0.605145 | 12.913176 | 86edo | 1202.01811512776 | 4 | 4 |
| 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 |
| 504zpi | 90.0062264417492 | 13.3324109613308 | 4.836804 | 0.601309 | 13.038597 | 90edo | 1199.91698651977 | 8 | 8 |
| 510zpi | 90.8518735990036 | 13.2083131856640 | 6.648203 | 0.968737 | 16.378662 | 91edo | 1201.95649989543 | 10 | 10 |
| 518zpi | 91.9931695397655 | 13.0444467345076 | 4.508734 | 0.510415 | 11.623810 | 92edo | 1200.08909957470 | 6 | 6 |
| 519zpi | 92.1708900818658 | 13.0192949089910 | 5.281566 | 0.695756 | 14.404527 | 92edo | 1197.77513162717 | 6 | 6 |
| 525zpi | 93.0023742551642 | 12.9028964003397 | 5.574357 | 0.766360 | 15.018535 | 93edo | 1199.96936523159 | 8 | 8 |
| 532zpi | 93.9836761074943 | 12.7681747480009 | 8.806201 | 1.394050 | 17.832744 | 94edo | 1200.20842631208 | 24 | 15 |
| 540zpi | 95.1168472671926 | 12.6160615545749 | 5.316969 | 0.706449 | 14.332919 | 95edo | 1198.52584768461 | 7 | 7 |
| 546zpi | 95.9543940692998 | 12.5059410946136 | 7.327322 | 1.045052 | 15.480737 | 96edo | 1200.57034508290 | 6 | 6 |
| 553zpi | 96.9251251346284 | 12.3806907479687 | 4.250052 | 0.495809 | 12.303755 | 97edo | 1200.92700255296 | 5 | 5 |
| 560zpi | 97.9232407224070 | 12.2544963907165 | 4.310922 | 0.481970 | 11.590393 | 98edo | 1200.94064629022 | 4 | 4 |
| 568zpi | 99.0473345956631 | 12.1154194093028 | 9.406495 | 1.510412 | 18.536483 | 99edo | 1199.42652152097 | 12 | 12 |