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


Tuning Strength Closest EDO Integer limit
ZPI Steps per octave Cents Height Integral Gap EDO Octave Consistent Distinct
4zpi 3.05976162780486 392.187413913321 2.847473 1.044063 11.592757 3edo 1176.56224173996 6
6zpi 3.90444812410668 307.341770682266 2.942394 0.927921 11.574256 4edo 1229.36708272906 8
9zpi 5.03447559860338 238.356503373041 3.664837 1.131648 13.386581 5edo 1191.78251686521 10
12zpi 6.03492368796699 198.842613767043 2.913512 0.699239 10.852507 6edo 1193.05568260226 3
15zpi 6.95668765658792 172.495885863671 4.166936 1.162332 14.234171 7edo 1207.47120104570 6
19zpi 8.13742532740116 147.466790995825 3.641859 0.881068 12.934091 8edo 1179.73432796660 7
22zpi 8.94999197142904 134.078332565073 3.998567 0.954565 13.186387 9edo 1206.70499308566 8
26zpi 10.0084563372591 119.898609691954 4.477141 1.082282 14.181485 10edo 1198.98609691954 8
29zpi 10.7572394449866 111.552783233737 2.933506 0.582845 11.704948 11edo 1227.08061557111 3
30zpi 11.0373648579550 108.721602977102 2.698327 0.469089 9.930302 11edo 1195.93763274812 4
34zpi 12.0231830072926 99.8071807833375 5.193290 1.269599 15.899282 12edo 1197.68616940005 10
38zpi 12.9686583162718 92.5307746364446 3.102800 0.549658 10.833662 13edo 1202.90007027378 4
39zpi 13.2346770623239 90.6708939212522 2.814119 0.496123 10.978612 13edo 1178.72162097628 4
42zpi 13.9002525327005 86.3293668353859 4.592177 0.984037 14.097244 14edo 1208.61113569540 7
47zpi 15.0534898676781 79.7157343943591 5.050324 1.104057 14.918297 15edo 1195.73601591539 8
51zpi 15.9443732426877 75.2616601314409 4.191572 0.812082 13.070433 16edo 1204.18656210305 6
56zpi 17.0445886606675 70.4035764012981 5.056957 1.032175 14.269437 17edo 1196.86079882207 4
61zpi 18.1190946210975 66.2284747165428 3.512788 0.600419 11.801322 18edo 1192.11254489777 3
65zpi 18.9480867166984 63.3309324546460 5.980169 1.313799 16.699651 19edo 1203.28771663827 10
70zpi 19.9819046661574 60.0543351621727 3.392542 0.534897 11.106731 20edo 1201.08670324345 4
71zpi 20.2248393119540 59.3329806724710 3.531097 0.613581 12.986080 20edo 1186.65961344942 6
74zpi 20.7874292468999 57.7271958810858 2.915475 0.437980 10.729630 21edo 1212.27111350280 4
75zpi 21.0279383259393 57.0669354931351 4.107322 0.716469 12.853639 21edo 1198.40564535584 4
80zpi 22.0251467420146 54.4831784348982 6.062600 1.258178 16.213941 22edo 1198.62992556776 12
84zpi 22.8071262132237 52.6151339182853 3.709236 0.623853 12.657148 23edo 1210.14808012056 3
86zpi 23.2320841524373 51.6527054622479 2.750907 0.400877 10.713630 23edo 1188.01222563170 3
90zpi 24.0057421830853 49.9880399800983 5.721613 1.092055 14.821136 24edo 1199.71295952236 6
93zpi 24.5782550666850 48.8236449961234 2.810487 0.469100 13.261693 25edo 1220.59112490308 3
95zpi 24.9650888246290 48.0671231906915 3.915820 0.639164 12.605015 25edo 1201.67807976729 6
96zpi 25.1878832117586 47.6419550587640 2.736945 0.365926 9.931986 25edo 1191.04887646910 4
100zpi 25.9356996537225 46.2682717652372 5.545073 1.031155 14.793013 26edo 1202.97506589617 14
106zpi 27.0866140827635 44.3023257293579 6.069233 1.185939 16.215619 27edo 1196.16279469266 10
110zpi 27.8137942668253 43.1440596880840 3.162449 0.446881 10.945193 28edo 1208.03367126635 4
111zpi 28.0320347788478 42.8081660666847 3.688692 0.558839 11.937782 28edo 1198.62864986717 6
116zpi 28.9399661541990 41.4651487014917 5.566209 1.000619 14.904418 29edo 1202.48931234326 8
117zpi 29.1704145107142 41.1375710673992 2.855645 0.384862 10.705411 29edo 1192.98956095458 4
122zpi 30.0612579863819 39.9184891245607 3.245270 0.442346 10.689650 30edo 1197.55467373682 6
123zpi 30.2699460014115 39.6432818196651 2.906693 0.414672 11.595454 30edo 1189.29845458995 3
127zpi 30.9783816349790 38.7366910944446 7.003472 1.403777 17.739476 31edo 1200.83742392778 12
133zpi 32.0701500181780 37.4179727665700 4.471728 0.689412 12.537826 32edo 1197.37512853024 4
137zpi 32.7619027745559 36.6279091986063 3.709815 0.576292 13.381660 33edo 1208.72100355401 4
138zpi 32.9722652047837 36.3942238286346 3.325323 0.431878 10.369896 33edo 1201.00938634494 4
144zpi 34.0448410043159 35.2476312005063 6.685147 1.241437 16.236989 34edo 1198.41946081721 6
149zpi 34.9253760937452 34.3589714475518 4.150200 0.630873 12.775820 35edo 1202.56400066431 3
151zpi 35.2948974160593 33.9992488391253 3.400686 0.518602 13.081926 35edo 1189.97370936939 3
155zpi 35.9823877000425 33.3496490006021 6.027497 1.028887 14.706508 36edo 1200.58736402167 8
159zpi 36.6803098944811 32.7150998301830 2.824279 0.405039 12.430580 37edo 1210.45869371677 3
161zpi 37.0275229191254 32.4083250889078 5.287327 0.891828 15.095854 37edo 1199.10802828959 8
166zpi 37.8901105027757 31.6705331305933 5.808723 0.986660 15.046792 38edo 1203.48025896255 6
173zpi 39.1237487937926 30.6719073963176 5.593908 0.926356 14.714802 39edo 1196.20438845639 7
178zpi 39.9678548089932 30.0241282834621 3.982724 0.555643 11.944673 40edo 1200.96513133849 4
184zpi 40.9880783925993 29.2768055263764 7.570230 1.423937 17.722623 41edo 1200.34902658143 16
188zpi 41.6477381898475 28.8130893094339 2.743274 0.377754 12.481972 42edo 1210.14975099623 3
190zpi 41.9988672418690 28.5721991759747 2.689436 0.303886 9.541545 42edo 1200.03236539094 8
191zpi 42.1875914252516 28.4443828021368 3.591963 0.481940 11.612694 42edo 1194.66407768974 3
196zpi 43.0264994477693 27.8897892090130 6.166118 1.035628 15.545919 43edo 1199.26093598756 8
199zpi 43.5183925108247 27.5745479270980 2.830523 0.402910 12.871286 44edo 1213.28010879231 3
202zpi 44.0154367628970 27.2631623869639 4.594960 0.647705 12.374694 44edo 1199.57914502641 6
203zpi 44.2146221678670 27.1403427455296 3.094998 0.389742 11.116580 44edo 1194.17508080330 4
207zpi 44.8397488079316 26.7619697233392 5.252141 0.837163 14.719415 45edo 1204.28863755026 7
214zpi 46.0089748051542 26.0818678330031 7.495674 1.356067 17.747832 46edo 1199.76592031814 14
220zpi 47.0060419283620 25.5286331452629 4.284790 0.612871 13.012654 47edo 1199.84575782736 2
222zpi 47.3450555113956 25.3458357380354 3.320689 0.479600 13.412098 47edo 1191.25427968766 3
226zpi 47.9883202080850 25.0060847055410 5.843508 0.890480 13.888482 48edo 1200.29206586597 6
233zpi 49.1412057629230 24.4194252332612 5.691547 0.920677 15.624024 49edo 1196.55183642980 7
238zpi 49.9385162652878 24.0295485277387 6.655352 1.111229 15.942083 50edo 1201.47742638693 10
244zpi 50.8837359223909 23.5831740387591 3.532142 0.458954 12.254815 51edo 1202.74187597671 5
245zpi 51.0796941521015 23.4927013546073 4.827438 0.657589 12.357000 51edo 1198.12776908497 4
249zpi 51.6947260254851 23.2131997257981 3.413564 0.471796 13.043858 52edo 1207.08638574150 3
251zpi 52.0425742004559 23.0580446573968 4.088168 0.557410 12.619985 52edo 1199.01832218463 4
257zpi 52.9968291550147 22.6428640945673 8.249774 1.486620 18.069918 53edo 1200.07179701207 10
262zpi 53.7810758741546 22.3126811893453 3.077120 0.386380 11.625218 54edo 1204.88478422464 3
264zpi 54.1158813587316 22.1746365368284 3.477929 0.418117 10.920379 54edo 1197.43037298873 4
265zpi 54.2990897284592 22.0998179896017 2.966392 0.375211 12.053203 54edo 1193.39017143849 3
269zpi 54.8936475332682 21.8604529653954 5.259547 0.755234 13.567055 55edo 1202.32491309674 4
270zpi 55.0877256278105 21.7834369875345 3.475625 0.412837 10.910231 55edo 1198.08903431440 6
273zpi 55.5369034947806 21.6072543567860 3.207402 0.460519 14.061502 56edo 1210.00624398001 3
276zpi 56.0083399588546 21.4253805929895 6.063216 0.931117 14.804703 56edo 1199.82131320741 8
281zpi 56.7765879983486 21.1354722484363 3.254400 0.390738 11.224581 57edo 1204.72191816087 6
282zpi 56.9682909142655 21.0643496713977 4.871554 0.690239 13.705834 57edo 1200.66793126967 8
284zpi 57.2786281270200 20.9502224344288 2.806835 0.352070 11.922515 57edo 1194.16267876244 3
289zpi 58.0667185533159 20.6658827964969 7.814035 1.358357 18.056292 58edo 1198.62120219682 16
293zpi 58.6692623346456 20.4536404967098 2.782950 0.343033 11.661894 59edo 1206.76478930588 3
295zpi 58.9922648813293 20.3416499165434 3.985025 0.510798 12.082986 59edo 1200.15734507606 5
301zpi 59.9201656607655 20.0266469020418 7.046396 1.131000 15.932359 60edo 1201.59881412251 10
308zpi 61.0031915487115 19.6711019462284 3.651836 0.430595 11.080450 61edo 1199.93721871993 6
309zpi 61.1899579776371 19.6110610247283 4.522434 0.612136 13.103392 61edo 1196.27472250842 6
314zpi 61.9380472360525 19.3741981471691 6.262952 0.952068 15.026453 62edo 1201.20028512448 8
317zpi 62.4054836742562 19.2290793909034 3.147820 0.438058 14.235540 62edo 1192.20292223601 3
321zpi 63.0192885705350 19.0417890652143 6.768662 1.049023 15.412920 63edo 1199.63271110850 8
326zpi 63.7755578116328 18.8159859541224 4.294126 0.588980 13.437518 64edo 1204.22310106383 3
328zpi 64.0993554529598 18.7209370752665 3.612776 0.445177 11.818611 64edo 1198.13997281706 2
334zpi 65.0158450885860 18.4570391781413 7.813349 1.269821 16.514861 65edo 1199.70754657919 6
340zpi 65.9158158482913 18.2050390267772 4.469113 0.620786 13.998526 66edo 1201.53257576729 2
342zpi 66.2463426513037 18.1142075467676 4.114058 0.559460 13.529076 66edo 1195.53769808666 4
346zpi 66.8108104662562 17.9611651411724 3.637876 0.434417 11.646984 67edo 1203.39806445855 4
347zpi 66.9983955140918 17.9108766828245 5.331365 0.724895 13.386253 67edo 1200.02873774924 4
354zpi 68.0493056282519 17.6342725163943 7.666604 1.254592 17.034505 68edo 1199.13053111481 10
359zpi 68.7793781502555 17.4470899893639 3.727725 0.466649 12.567601 69edo 1203.84920926611 6
360zpi 68.9600161044447 17.4013880475683 4.142538 0.497993 11.609870 69edo 1200.69577528221 6
363zpi 69.4191373621103 17.2862995075904 3.169090 0.429442 14.276498 69edo 1192.75466602374 3
367zpi 70.0040185665629 17.1418730606013 5.698371 0.763911 13.162600 70edo 1199.93111424209 10
368zpi 70.1911982193248 17.0961606361297 3.437073 0.416756 12.481351 70edo 1196.73124452908 7
374zpi 71.0593309545342 16.8872966277686 3.793904 0.446694 11.433644 71edo 1198.99806057157 6
380zpi 71.9506065993786 16.6781081733140 9.157547 1.625363 19.964746 72edo 1200.82378847861 18
387zpi 72.9834022742365 16.4420945393992 3.384462 0.369161 10.613641 73edo 1200.27290137614 4
388zpi 73.1619269059893 16.4019736869692 4.830055 0.632086 13.094496 73edo 1197.34407914875 6
392zpi 73.7144284330240 16.2790382494833 3.004529 0.361419 12.302372 74edo 1204.64883046177 3
393zpi 73.8771928900762 16.2431726633890 2.839722 0.270670 9.078038 74edo 1201.99477709078 4
394zpi 74.0521612366564 16.2047937556479 5.084321 0.702774 14.386154 74edo 1199.15473791794 6
397zpi 74.4882852086261 16.1099157624457 2.747746 0.330750 12.036527 74edo 1192.13376642099 3
400zpi 74.9007628151052 16.0211986487005 4.358478 0.550005 13.117097 75edo 1201.58989865254 6
401zpi 75.0911321481303 15.9805820697015 5.998297 0.842181 14.552090 75edo 1198.54365522761 6
406zpi 75.8007816510126 15.8309713153726 3.926150 0.479654 12.179661 76edo 1203.15381996832 3
407zpi 75.9681689808373 15.7960895477512 2.689769 0.264899 9.536759 76edo 1200.50280562909 7
409zpi 76.2717010552623 15.7332271785907 3.742128 0.486725 13.407696 76edo 1195.72526557290 3
414zpi 76.9918536925042 15.5860645308353 8.194847 1.311364 17.029289 77edo 1200.12696887432 10
418zpi 77.5723307254445 15.4694333504973 2.803915 0.339393 12.295289 78edo 1206.61580133879 3
421zpi 78.0204348042082 15.3805859069024 5.366587 0.739351 14.204322 78edo 1199.68570073838 8
423zpi 78.3353237026458 15.3187597022653 3.064988 0.382959 12.963711 78edo 1194.86325677669 3
427zpi 78.8924096211210 15.2105887722656 5.849779 0.795605 13.863351 79edo 1201.63651300898 6
428zpi 79.0687479122993 15.1766662769342 2.722141 0.261034 9.363662 79edo 1198.95663587780 4
435zpi 80.0731374302484 14.9862992572924 7.873146 1.247325 17.087322 80edo 1198.90394058339 12
441zpi 80.9475780903969 14.8244089361132 5.190285 0.684638 13.540400 81edo 1200.77712382517 8
448zpi 81.9541455954050 14.6423343356444 6.653983 0.941321 14.718732 82edo 1200.67141552284 8
449zpi 82.1355049107953 14.6100033268594 3.038726 0.305308 9.988691 82edo 1198.02027280247 4
453zpi 82.6785590247544 14.5140410543526 4.375766 0.643829 16.646686 83edo 1204.66540751127 3
455zpi 82.9665108106434 14.4636671866169 3.945350 0.488384 13.262232 83edo 1200.48437648920 2
456zpi 83.1333405254325 14.4346418947629 3.090164 0.310674 9.908618 83edo 1198.07527726532 3
462zpi 83.9972142607288 14.2861880666087 8.020965 1.241945 16.733121 84edo 1200.03979759513 10
469zpi 84.9907191841138 14.1191886775362 3.040681 0.294248 9.556533 85edo 1200.13103759058 4
470zpi 85.1600591865025 14.0911127993931 4.906260 0.623964 13.123875 85edo 1197.74458794841 4
475zpi 85.8556112434555 13.9769548270670 4.819222 0.605145 12.913176 86edo 1202.01811512776 4
477zpi 86.1719082067799 13.9256519319551 3.134291 0.367384 12.446285 86edo 1197.60606614814 2
483zpi 87.0139255957575 13.7908960178956 8.869041 1.439474 18.061741 87edo 1199.80795355692 16
489zpi 87.8648076096176 13.6573451037597 3.782239 0.429534 11.574783 88edo 1201.84636913086 3
490zpi 88.0268056557394 13.6322111322889 2.882655 0.288736 10.092415 88edo 1199.63457964142 2
492zpi 88.3173436382352 13.5873651829411 3.773813 0.484675 13.636687 88edo 1195.68813609882 3
497zpi 89.0229355804124 13.4796723133902 7.567368 1.124501 16.042570 89edo 1199.69083589172 12
504zpi 90.0062264417492 13.3324109613308 4.836804 0.601309 13.038597 90edo 1199.91698651977 8
505zpi 90.1796541846535 13.3067709213306 3.669038 0.410568 11.609650 90edo 1197.60938291976 7
510zpi 90.8518735990036 13.2083131856640 6.648203 0.968737 16.378662 91edo 1201.95649989543 10
511zpi 91.0328000928304 13.1820618367918 3.423590 0.354863 10.647311 91edo 1199.56762714806 6
518zpi 91.9931695397655 13.0444467345076 4.508734 0.510415 11.623810 92edo 1200.08909957470 6
519zpi 92.1708900818658 13.0192949089910 5.281566 0.695756 14.404527 92edo 1197.77513162717 6
523zpi 92.6980731751190 12.9452528935854 2.730314 0.293559 11.096221 93edo 1203.90851910344 3
525zpi 93.0023742551642 12.9028964003397 5.574357 0.766360 15.018535 93edo 1199.96936523159 8
528zpi 93.4362315518940 12.8429837127317 2.731701 0.318591 12.571663 93edo 1194.39748528405 3
532zpi 93.9836761074943 12.7681747480009 8.806201 1.394050 17.832744 94edo 1200.20842631208 24
537zpi 94.6733109719731 12.6751667146747 2.743160 0.296311 11.302002 95edo 1204.14083789410 3
538zpi 94.8311282999367 12.6540727872032 2.819175 0.291575 10.691332 95edo 1202.13691478430 3
540zpi 95.1168472671926 12.6160615545749 5.316969 0.706449 14.332919 95edo 1198.52584768461 7
546zpi 95.9543940692998 12.5059410946136 7.327322 1.045052 15.480737 96edo 1200.57034508290 6
550zpi 96.5200797471850 12.4326461721039 3.549272 0.471966 14.790729 97edo 1205.96667869407 3
553zpi 96.9251251346284 12.3806907479687 4.250052 0.495809 12.303755 97edo 1200.92700255296 5
554zpi 97.0894142430262 12.3597408569822 3.739770 0.380211 10.364917 97edo 1198.89486312727 4
555zpi 97.2477095492293 12.3396222447021 3.012654 0.318839 11.069984 97edo 1196.94335773610 4
559zpi 97.7583854312732 12.2751618155931 3.322076 0.357937 11.284386 98edo 1202.96585792813 6
560zpi 97.9232407224070 12.2544963907165 4.310922 0.481970 11.590393 98edo 1200.94064629022 4
568zpi 99.0473345956631 12.1154194093028 9.406495 1.510412 18.536483 99edo 1199.42652152097 12
573zpi 99.7229394185531 12.0333396407762 2.909787 0.316222 11.492782 100edo 1203.33396407762 3
575zpi 100.023980000182 11.9971230898613 4.336238 0.526748 13.103655 100edo 1199.71230898613 3
577zpi 100.307341055524 11.9632320762621 3.581349 0.438845 13.297575 100edo 1196.32320762621 3

See also

15-odd-limit

23-odd-limit

31-odd-limit