User:Contribution/Impressions on EDOs sizes: Difference between revisions
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| Line 159: | Line 159: | ||
!Consistent | !Consistent | ||
!Distinct | !Distinct | ||
|- | |- | ||
|[[26zpi]] | |[[26zpi]] | ||
| Line 445: | Line 170: | ||
|8 | |8 | ||
|5 | |5 | ||
|- | |- | ||
|[[34zpi]] | |[[34zpi]] | ||
| Line 533: | Line 181: | ||
|10 | |10 | ||
|6 | |6 | ||
|- | |- | ||
|[[42zpi]] | |[[42zpi]] | ||
| Line 621: | Line 192: | ||
|7 | |7 | ||
|5 | |5 | ||
|- | |- | ||
|[[47zpi]] | |[[47zpi]] | ||
| Line 676: | Line 203: | ||
|8 | |8 | ||
|7 | |7 | ||
|- | |- | ||
|[[56zpi]] | |[[56zpi]] | ||
| Line 775: | Line 214: | ||
|4 | |4 | ||
|4 | |4 | ||
|- | |- | ||
|[[65zpi]] | |[[65zpi]] | ||
| Line 874: | Line 225: | ||
|10 | |10 | ||
|7 | |7 | ||
|- | |- | ||
|[[80zpi]] | |[[80zpi]] | ||
| Line 1,039: | Line 236: | ||
|12 | |12 | ||
|8 | |8 | ||
|- | |- | ||
|[[90zpi]] | |[[90zpi]] | ||
| Line 1,149: | Line 247: | ||
|6 | |6 | ||
|6 | |6 | ||
|- | |- | ||
|[[100zpi]] | |[[100zpi]] | ||
| Line 1,259: | Line 258: | ||
|14 | |14 | ||
|9 | |9 | ||
|- | |- | ||
|[[106zpi]] | |[[106zpi]] | ||
| Line 1,325: | Line 269: | ||
|10 | |10 | ||
|8 | |8 | ||
|- | |- | ||
|[[116zpi]] | |[[116zpi]] | ||
| Line 1,435: | Line 280: | ||
|8 | |8 | ||
|7 | |7 | ||
|- | |- | ||
|[[127zpi]] | |[[127zpi]] | ||
| Line 1,556: | Line 291: | ||
|12 | |12 | ||
|9 | |9 | ||
|- | |- | ||
|[[144zpi]] | |[[144zpi]] | ||
| Line 1,743: | Line 302: | ||
|6 | |6 | ||
|6 | |6 | ||
|- | |- | ||
|[[155zpi]] | |[[155zpi]] | ||
| Line 1,864: | Line 313: | ||
|8 | |8 | ||
|8 | |8 | ||
|- | |- | ||
|[[161zpi]] | |[[161zpi]] | ||
| Line 1,930: | Line 324: | ||
|8 | |8 | ||
|8 | |8 | ||
|- | |- | ||
|[[166zpi]] | |[[166zpi]] | ||
| Line 1,985: | Line 335: | ||
|6 | |6 | ||
|6 | |6 | ||
|- | |- | ||
|[[173zpi]] | |[[173zpi]] | ||
| Line 2,062: | Line 346: | ||
|7 | |7 | ||
|7 | |7 | ||
|- | |- | ||
|[[184zpi]] | |[[184zpi]] | ||
| Line 2,183: | Line 357: | ||
|16 | |16 | ||
|10 | |10 | ||
|- | |- | ||
|[[196zpi]] | |[[196zpi]] | ||
| Line 2,315: | Line 368: | ||
|8 | |8 | ||
|8 | |8 | ||
|- | |- | ||
|[[214zpi]] | |[[214zpi]] | ||
| Line 2,513: | Line 379: | ||
|14 | |14 | ||
|11 | |11 | ||
|- | |- | ||
|[[226zpi]] | |[[226zpi]] | ||
| Line 2,643: | Line 388: | ||
|[[48edo]] | |[[48edo]] | ||
|1200.29206586597 | |1200.29206586597 | ||
|6 | |6 | ||
|6 | |6 | ||
| Line 2,722: | Line 401: | ||
|7 | |7 | ||
|7 | |7 | ||
|- | |- | ||
|[[238zpi]] | |[[238zpi]] | ||
| Line 2,777: | Line 412: | ||
|10 | |10 | ||
|9 | |9 | ||
|- | |- | ||
|[[257zpi]] | |[[257zpi]] | ||
| Line 2,986: | Line 423: | ||
|10 | |10 | ||
|10 | |10 | ||
|- | |- | ||
|[[276zpi]] | |[[276zpi]] | ||
| Line 3,195: | Line 434: | ||
|8 | |8 | ||
|8 | |8 | ||
|- | |- | ||
|[[289zpi]] | |[[289zpi]] | ||
| Line 3,338: | Line 445: | ||
|16 | |16 | ||
|12 | |12 | ||
|- | |- | ||
|[[301zpi]] | |[[301zpi]] | ||
| Line 3,470: | Line 456: | ||
|10 | |10 | ||
|10 | |10 | ||
|- | |- | ||
|[[314zpi]] | |[[314zpi]] | ||
| Line 3,613: | Line 467: | ||
|8 | |8 | ||
|8 | |8 | ||
|- | |- | ||
|[[321zpi]] | |[[321zpi]] | ||
| Line 3,690: | Line 478: | ||
|8 | |8 | ||
|8 | |8 | ||
|- | |- | ||
|[[334zpi]] | |[[334zpi]] | ||
| Line 3,833: | Line 489: | ||
|6 | |6 | ||
|6 | |6 | ||
|- | |- | ||
|[[354zpi]] | |[[354zpi]] | ||
| Line 4,053: | Line 500: | ||
|10 | |10 | ||
|10 | |10 | ||
|- | |- | ||
|[[380zpi]] | |[[380zpi]] | ||
| Line 4,339: | Line 511: | ||
|18 | |18 | ||
|13 | |13 | ||
|- | |- | ||
|[[414zpi]] | |[[414zpi]] | ||
| Line 4,713: | Line 522: | ||
|10 | |10 | ||
|10 | |10 | ||
|- | |- | ||
|[[435zpi]] | |[[435zpi]] | ||
| Line 4,944: | Line 533: | ||
|12 | |12 | ||
|12 | |12 | ||
|- | |- | ||
|[[462zpi]] | |[[462zpi]] | ||
| Line 5,241: | Line 544: | ||
|10 | |10 | ||
|10 | |10 | ||
|- | |- | ||
|[[483zpi]] | |[[483zpi]] | ||
| Line 5,472: | Line 555: | ||
|16 | |16 | ||
|14 | |14 | ||
|- | |- | ||
|[[497zpi]] | |[[497zpi]] | ||
| Line 5,626: | Line 566: | ||
|12 | |12 | ||
|12 | |12 | ||
|- | |- | ||
|[[532zpi]] | |[[532zpi]] | ||
| Line 6,011: | Line 577: | ||
|24 | |24 | ||
|15 | |15 | ||
|- | |- | ||
|[[546zpi]] | |[[546zpi]] | ||
| Line 6,165: | Line 588: | ||
|6 | |6 | ||
|6 | |6 | ||
|- | |- | ||
|[[568zpi]] | |[[568zpi]] | ||
| Line 6,407: | Line 599: | ||
|12 | |12 | ||
|12 | |12 | ||
|} | |} | ||
Revision as of 15:22, 16 April 2024
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 |
| 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 |
| 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 |
| 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 |