User:Contribution/Collection of tunings: Difference between revisions
Jump to navigation
Jump to search
Contribution (talk | contribs) |
Contribution (talk | contribs) |
||
| Line 17: | Line 17: | ||
!Why it matters | !Why it matters | ||
|- | |- | ||
|7ed5/3 | |[[7ed5/3]] | ||
|9.49840814199707 | |9.49840814199707 | ||
|126.336958999921 | |126.336958999921 | ||
|Benson Alpha 5/3 | |[[Benson Alpha 5/3]] | ||
|9.50583353877785 | |9.50583353877785 | ||
|126.238272015258 | |126.238272015258 | ||
|Alpha 5/3 | |Alpha 5/3 | ||
|- | |- | ||
|10edo | |[[10edo]] | ||
|10 | |10 | ||
|120. | |120. | ||
| Line 31: | Line 31: | ||
|EDO ≤ 29 | |EDO ≤ 29 | ||
|- | |- | ||
|11edo | |[[11edo]] | ||
|11 | |11 | ||
|109.090909090909 | |109.090909090909 | ||
| Line 37: | Line 37: | ||
|EDO ≤ 29 | |EDO ≤ 29 | ||
|- | |- | ||
|12edo | |[[12edo]] | ||
|12 | |12 | ||
|100. | |100. | ||
|34zpi | |[[34zpi]] | ||
|12.0231830072926 | |12.0231830072926 | ||
|99.8071807833375 | |99.8071807833375 | ||
|EDO ≤ 29, strong zeta peak | |EDO ≤ 29, strong zeta peak | ||
|- | |- | ||
|9ed5/3 | |[[9ed5/3]] | ||
|12.2122390397105 | |12.2122390397105 | ||
|98.2620792221608 | |98.2620792221608 | ||
|Benson Beta 5/3 | |[[Benson Beta 5/3]] | ||
|12.2053823008782 | |12.2053823008782 | ||
|98.3172808862904 | |98.3172808862904 | ||
|Beta 5/3 | |Beta 5/3 | ||
|- | |- | ||
|13edo | |[[13edo]] | ||
|13 | |13 | ||
|92.3076923076923 | |92.3076923076923 | ||
| Line 59: | Line 59: | ||
|EDO ≤ 29 | |EDO ≤ 29 | ||
|- | |- | ||
|14edo | |[[14edo]] | ||
|14 | |14 | ||
|85.7142857142857 | |85.7142857142857 | ||
|42zpi | |[[42zpi]] | ||
|13.9002525327005 | |13.9002525327005 | ||
|86.3293668353859 | |86.3293668353859 | ||
|EDO ≤ 29 & medium zeta peak | |EDO ≤ 29 & medium zeta peak | ||
|- | |- | ||
|15edo | |[[15edo]] | ||
|15 | |15 | ||
|80. | |80. | ||
|47zpi | |[[47zpi]] | ||
|15.0534898676781 | |15.0534898676781 | ||
|79.7157343943591 | |79.7157343943591 | ||
|EDO ≤ 29 & medium zeta peak | |EDO ≤ 29 & medium zeta peak | ||
|- | |- | ||
|9ed3/2 | |[[9ed3/2]] | ||
|15.3856016221631 | |15.3856016221631 | ||
|77.9950000961542 | |77.9950000961542 | ||
|Benson Alpha 3/2 | |[[Benson Alpha 3/2]] | ||
|15.3915238996928 | |15.3915238996928 | ||
|77.9649895501219 | |77.9649895501219 | ||
|Alpha 3/2 | |Alpha 3/2 | ||
|- | |- | ||
|16edo | |[[16edo]] | ||
|16 | |16 | ||
|75. | |75. | ||
| Line 89: | Line 89: | ||
|EDO ≤ 29 | |EDO ≤ 29 | ||
|- | |- | ||
|17edo | |[[17edo]] | ||
|17 | |17 | ||
|70.5882352941176 | |70.5882352941176 | ||
|56zpi | |[[56zpi]] | ||
|17.0445886606675 | |17.0445886606675 | ||
|70.4035764012981 | |70.4035764012981 | ||
|EDO ≤ 29 & medium zeta peak | |EDO ≤ 29 & medium zeta peak | ||
|- | |- | ||
|18edo | |[[18edo]] | ||
|18 | |18 | ||
|66.6666666666667 | |66.6666666666667 | ||
| Line 103: | Line 103: | ||
|EDO ≤ 29 | |EDO ≤ 29 | ||
|- | |- | ||
|11ed3/2 | |[[11ed3/2]] | ||
|18.8046242048660 | |18.8046242048660 | ||
|63.8140909877625 | |63.8140909877625 | ||
|Benson Beta 3/2 | |[[Benson Beta 3/2]] | ||
|18.7990736394111 | |18.7990736394111 | ||
|63.8329325698408 | |63.8329325698408 | ||
|Beta 3/2 | |Beta 3/2 | ||
|- | |- | ||
|19edo | |[[19edo]] | ||
|19 | |19 | ||
|63.1578947368421 | |63.1578947368421 | ||
|65zpi | |[[65zpi]] | ||
|18.9480867166984 | |18.9480867166984 | ||
|63.3309324546460 | |63.3309324546460 | ||
|EDO ≤ 29, strong zeta peak | |EDO ≤ 29, strong zeta peak | ||
|- | |- | ||
|20edo | |[[20edo]] | ||
|20 | |20 | ||
|60. | |60. | ||
| Line 125: | Line 125: | ||
|EDO ≤ 29 | |EDO ≤ 29 | ||
|- | |- | ||
|21edo | |[[21edo]] | ||
|21 | |21 | ||
|57.1428571428571 | |57.1428571428571 | ||
| Line 131: | Line 131: | ||
|EDO ≤ 29 | |EDO ≤ 29 | ||
|- | |- | ||
|16ed5/3 | |[[16ed5/3]] | ||
|21.7106471817076 | |21.7106471817076 | ||
|55.2724195624655 | |55.2724195624655 | ||
|Benson Gamma 5/3 | |[[Benson Gamma 5/3]] | ||
|21.7094399215509 | |21.7094399215509 | ||
|55.2754932571412 | |55.2754932571412 | ||
|Gamma 5/3 | |Gamma 5/3 | ||
|- | |- | ||
|22edo | |[[22edo]] | ||
|22 | |22 | ||
|54.5454545454545 | |54.5454545454545 | ||
|80zpi | |[[80zpi]] | ||
|22.0251467420146 | |22.0251467420146 | ||
|54.4831784348982 | |54.4831784348982 | ||
|EDO ≤ 29, strong zeta peak | |EDO ≤ 29, strong zeta peak | ||
|- | |- | ||
|11ed7/5 | |[[11ed7/5]] | ||
|22.6604698881676 | |22.6604698881676 | ||
|52.9556538731173 | |52.9556538731173 | ||
|Benson Alpha 7/5 | |[[Benson Alpha 7/5]] | ||
|22.6653911133366 | |22.6653911133366 | ||
|52.9441558718088 | |52.9441558718088 | ||
|Alpha 7/5 | |Alpha 7/5 | ||
|- | |- | ||
|23edo | |[[23edo]] | ||
|23 | |23 | ||
|52.1739130434783 | |52.1739130434783 | ||
| Line 161: | Line 161: | ||
|EDO ≤ 29 | |EDO ≤ 29 | ||
|- | |- | ||
|24edo | |[[24edo]] | ||
|24 | |24 | ||
|50. | |50. | ||
|90zpi | |[[90zpi]] | ||
|24.0057421830853 | |24.0057421830853 | ||
|49.9880399800983 | |49.9880399800983 | ||
|EDO ≤ 29 & medium zeta peak | |EDO ≤ 29 & medium zeta peak | ||
|- | |- | ||
|39edt | |[[39edt]] | ||
|24.6062603892868 | |24.6062603892868 | ||
|48.7680769452663 | |48.7680769452663 | ||
|93zpi no-2 analogue | |[[93zpi no-2 analogue]] | ||
|24.5738316304204 | |24.5738316304204 | ||
|48.8324335434323 | |48.8324335434323 | ||
|strong no-2 zeta peak | |strong no-2 zeta peak | ||
|- | |- | ||
|25edo | |[[25edo]] | ||
|25 | |25 | ||
|48. | |48. | ||
| Line 183: | Line 183: | ||
|EDO ≤ 29 | |EDO ≤ 29 | ||
|- | |- | ||
|26edo | |[[26edo]] | ||
|26 | |26 | ||
|46.1538461538462 | |46.1538461538462 | ||
|100zpi | |[[100zpi]] | ||
|25.9356996537225 | |25.9356996537225 | ||
|46.2682717652372 | |46.2682717652372 | ||
|EDO ≤ 29 & medium zeta peak | |EDO ≤ 29 & medium zeta peak | ||
|- | |- | ||
|13ed7/5 | |[[13ed7/5]] | ||
|26.7805553223799 | |26.7805553223799 | ||
|44.8086302003300 | |44.8086302003300 | ||
|Benson Beta 7/5 | |[[Benson Beta 7/5]] | ||
|26.7758951088566 | |26.7758951088566 | ||
|44.8164289231577 | |44.8164289231577 | ||
|Beta 7/5 | |Beta 7/5 | ||
|- | |- | ||
|27edo | |[[27edo]] | ||
|27 | |27 | ||
|44.4444444444444 | |44.4444444444444 | ||
|106zpi | |[[106zpi]] | ||
|27.0866140827635 | |27.0866140827635 | ||
|44.3023257293579 | |44.3023257293579 | ||
|EDO ≤ 29, strong zeta peak | |EDO ≤ 29, strong zeta peak | ||
|- | |- | ||
|28edo | |[[28edo]] | ||
|28 | |28 | ||
|42.8571428571429 | |42.8571428571429 | ||
| Line 213: | Line 213: | ||
|EDO ≤ 29 | |EDO ≤ 29 | ||
|- | |- | ||
|29edo | |[[29edo]] | ||
|29 | |29 | ||
|41.3793103448276 | |41.3793103448276 | ||
|116zpi | |[[116zpi]] | ||
|28.9399661541990 | |28.9399661541990 | ||
|41.4651487014917 | |41.4651487014917 | ||
|EDO ≤ 29 & medium zeta peak | |EDO ≤ 29 & medium zeta peak | ||
|- | |- | ||
|31edo | |[[31edo]] | ||
|31 | |31 | ||
|38.7096774193548 | |38.7096774193548 | ||
|127zpi | |[[127zpi]] | ||
|30.9783816349790 | |30.9783816349790 | ||
|38.7366910944446 | |38.7366910944446 | ||
|strong zeta peak | |strong zeta peak | ||
|- | |- | ||
|13ed4/3 | |[[13ed4/3]] | ||
|31.3224709154917 | |31.3224709154917 | ||
|38.3111537795856 | |38.3111537795856 | ||
|Benson Alpha 4/3 | |[[Benson Alpha 4/3]] | ||
|31.3266790320926 | |31.3266790320926 | ||
|38.3060074376432 | |38.3060074376432 | ||
|Alpha 4/3 | |Alpha 4/3 | ||
|- | |- | ||
|34edo | |[[34edo]] | ||
|34 | |34 | ||
|35.2941176470588 | |35.2941176470588 | ||
|144zpi | |[[144zpi]] | ||
|34.0448410043159 | |34.0448410043159 | ||
|35.2476312005063 | |35.2476312005063 | ||
|strong zeta peak | |strong zeta peak | ||
|- | |- | ||
|20ed3/2 | |[[20ed3/2]] | ||
|34.1902258270291 | |34.1902258270291 | ||
|35.0977500432694 | |35.0977500432694 | ||
|Benson Gamma 3/2 | |[[Benson Gamma 3/2]] | ||
|34.1894540921914 | |34.1894540921914 | ||
|35.0985422804417 | |35.0985422804417 | ||
|Gamma 3/2 | |Gamma 3/2 | ||
|- | |- | ||
|56edt | |[[56edt]] | ||
|35.3320662000016 | |35.3320662000016 | ||
|33.9634821583105 | |33.9634821583105 | ||
|151zpi no-2 analogue | |[[151zpi no-2 analogue]] | ||
|35.3059427335609 | |35.3059427335609 | ||
|33.9886123153798 | |33.9886123153798 | ||
|strong no-2 zeta peak | |strong no-2 zeta peak | ||
|- | |- | ||
|36edo | |[[36edo]] | ||
|36 | |36 | ||
|33.3333333333333 | |33.3333333333333 | ||
|155zpi no-5 analogue | |[[155zpi no-5 analogue]] | ||
|35.9775957344990 | |35.9775957344990 | ||
|33.3540909419168 | |33.3540909419168 | ||
|strong no-5 zeta peak | |strong no-5 zeta peak | ||
|- | |- | ||
|15ed4/3 | |[[15ed4/3]] | ||
|36.1413125947981 | |36.1413125947981 | ||
|33.2029999423075 | |33.2029999423075 | ||
|Benson Beta 4/3 | |[[Benson Beta 4/3]] | ||
|36.1372975038827 | |36.1372975038827 | ||
|33.2066890135066 | |33.2066890135066 | ||
|Beta 4/3 | |Beta 4/3 | ||
|- | |- | ||
|37edo | |[[37edo]] | ||
|37 | |37 | ||
|32.4324324324324 | |32.4324324324324 | ||
|161zpi no-3 analogue | |[[161zpi no-3 analogue]] | ||
|37.0117501336435 | |37.0117501336435 | ||
|32.4221360964286 | |32.4221360964286 | ||
|strong no-3 zeta peak | |strong no-3 zeta peak | ||
|- | |- | ||
|41edo | |[[41edo]] | ||
|41 | |41 | ||
|29.2682926829268 | |29.2682926829268 | ||
|184zpi | |[[184zpi]] | ||
|40.9880783925993 | |40.9880783925993 | ||
|29.2768055263764 | |29.2768055263764 | ||
|strong zeta peak | |strong zeta peak | ||
|- | |- | ||
|96ed5 | |[[96ed5]] | ||
|41.3449495750457 | |41.3449495750457 | ||
|29.0241011860920 | |29.0241011860920 | ||
|186zpi no-2 no-3 analogue | |[[186zpi no-2 no-3 analogue]] | ||
|41.3477989230936 | |41.3477989230936 | ||
|29.0221010852836 | |29.0221010852836 | ||
|strong no-2 no-3 zeta peak | |strong no-2 no-3 zeta peak | ||
|- | |- | ||
|66edt | |[[66edt]] | ||
|41.6413637357162 | |41.6413637357162 | ||
|28.8175000131119 | |28.8175000131119 | ||
|188zpi no-2 no-5 analogue | |[[188zpi no-2 no-5 analogue]] | ||
|41.6281274155763 | |41.6281274155763 | ||
|28.8266629920756 | |28.8266629920756 | ||
|strong no-2 no-5 zeta peak | |strong no-2 no-5 zeta peak | ||
|- | |- | ||
|46edo | |[[46edo]] | ||
|46 | |46 | ||
|26.0869565217391 | |26.0869565217391 | ||
|214zpi | |[[214zpi]] | ||
|46.0089748051542 | |46.0089748051542 | ||
|26.0818678330031 | |26.0818678330031 | ||
|strong zeta peak | |strong zeta peak | ||
|- | |- | ||
|24ed7/5 | |[[24ed7/5]] | ||
|49.4410252105475 | |49.4410252105475 | ||
|24.2713413585121 | |24.2713413585121 | ||
|Benson Gamma 7/5 | |[[Benson Gamma 7/5]] | ||
|49.4404896216012 | |49.4404896216012 | ||
|24.2716042900130 | |24.2716042900130 | ||
|Gamma 7/5 | |Gamma 7/5 | ||
|- | |- | ||
|53edo | |[[53edo]] | ||
|53 | |53 | ||
|22.6415094339623 | |22.6415094339623 | ||
|257zpi | |[[257zpi]] | ||
|52.9968291550147 | |52.9968291550147 | ||
|22.6428640945673 | |22.6428640945673 | ||
|strong zeta peak | |strong zeta peak | ||
|- | |- | ||
|57edo | |[[57edo]] | ||
|57 | |57 | ||
|21.0526315789474 | |21.0526315789474 | ||
|282zpi no-3 no-5 analogue | |[[282zpi no-3 no-5 analogue]] | ||
|56.9949885079207 | |56.9949885079207 | ||
|21.0544827083040 | |21.0544827083040 | ||
|strong no-3 no-5 zeta peak | |strong no-3 no-5 zeta peak | ||
|- | |- | ||
|58edo | |[[58edo]] | ||
|58 | |58 | ||
|20.6896551724138 | |20.6896551724138 | ||
|289zpi | |[[289zpi]] | ||
|58.0667185533159 | |58.0667185533159 | ||
|20.6658827964969 | |20.6658827964969 | ||
|strong zeta peak | |strong zeta peak | ||
|- | |- | ||
|60edo | |[[60edo]] | ||
|60 | |60 | ||
|20.0000000000000 | |20.0000000000000 | ||
|301zpi | |[[301zpi]] | ||
|59.9201656607655 | |59.9201656607655 | ||
|20.0266469020418 | |20.0266469020418 | ||
|strong zeta peak | |strong zeta peak | ||
|- | |- | ||
|65edo | |[[65edo]] | ||
|65 | |65 | ||
|18.4615384615385 | |18.4615384615385 | ||
|334zpi | |[[334zpi]] | ||
|65.0158450885860 | |65.0158450885860 | ||
|18.4570391781413 | |18.4570391781413 | ||
|strong zeta peak | |strong zeta peak | ||
|- | |- | ||
|28ed4/3 | |[[28ed4/3]] | ||
|67.4637835102899 | |67.4637835102899 | ||
|17.7873213976647 | |17.7873213976647 | ||
|Benson Gamma 4/3 | |[[Benson Gamma 4/3]] | ||
|67.4633901646646 | |67.4633901646646 | ||
|17.7874251067289 | |17.7874251067289 | ||
|Gamma 4/3 | |Gamma 4/3 | ||
|- | |- | ||
|68edo | |[[68edo]] | ||
|68 | |68 | ||
|17.6470588235294 | |17.6470588235294 | ||
|354zpi | |[[354zpi]] | ||
|68.0493056282519 | |68.0493056282519 | ||
|17.6342725163943 | |17.6342725163943 | ||
|strong zeta peak | |strong zeta peak | ||
|- | |- | ||
|72edo | |[[72edo]] | ||
|72 | |72 | ||
|16.6666666666667 | |16.6666666666667 | ||
|380zpi | |[[380zpi]] | ||
|71.9506065993786 | |71.9506065993786 | ||
|16.6781081733140 | |16.6781081733140 | ||
|strong zeta peak | |strong zeta peak | ||
|- | |- | ||
|77edo | |[[77edo]] | ||
|77 | |77 | ||
|15.5844155844156 | |15.5844155844156 | ||
|414zpi | |[[414zpi]] | ||
|76.9918536925042 | |76.9918536925042 | ||
|15.5860645308353 | |15.5860645308353 | ||
|strong zeta peak | |strong zeta peak | ||
|- | |- | ||
|80edo | |[[80edo]] | ||
|80 | |80 | ||
|15.0000000000000 | |15.0000000000000 | ||
|435zpi | |[[435zpi]] | ||
|80.0731374302484 | |80.0731374302484 | ||
|14.9862992572924 | |14.9862992572924 | ||
|strong zeta peak | |strong zeta peak | ||
|- | |- | ||
|83edo | |[[83edo]] | ||
|83 | |83 | ||
|14.4578313253012 | |14.4578313253012 | ||
|455zpi no-3 no-5 analogue | |[[455zpi no-3 no-5 analogue]] | ||
|82.9585473728587 | |82.9585473728587 | ||
|14.4650555970632 | |14.4650555970632 | ||
|strong no-3 no-5 zeta peak | |strong no-3 no-5 zeta peak | ||
|- | |- | ||
|84edo | |[[84edo]] | ||
|84 | |84 | ||
|14.2857142857143 | |14.2857142857143 | ||
|462zpi | |[[462zpi]] | ||
|83.9972142607288 | |83.9972142607288 | ||
|14.2861880666087 | |14.2861880666087 | ||
|strong zeta peak | |strong zeta peak | ||
|- | |- | ||
|87edo | |[[87edo]] | ||
|87 | |87 | ||
|13.7931034482759 | |13.7931034482759 | ||
|483zpi | |[[483zpi]] | ||
|87.0139255957575 | |87.0139255957575 | ||
|13.7908960178956 | |13.7908960178956 | ||
|strong zeta peak | |strong zeta peak | ||
|- | |- | ||
|94edo | |[[94edo]] | ||
|94 | |94 | ||
|12.7659574468085 | |12.7659574468085 | ||
|532zpi | |[[532zpi]] | ||
|93.9836761074943 | |93.9836761074943 | ||
|12.7681747480009 | |12.7681747480009 | ||
|strong zeta peak | |strong zeta peak | ||
|- | |- | ||
|99edo | |[[99edo]] | ||
|99 | |99 | ||
|12.1212121212121 | |12.1212121212121 | ||
|568zpi | |[[568zpi]] | ||
|99.0473345956631 | |99.0473345956631 | ||
|12.1154194093028 | |12.1154194093028 | ||
|strong zeta peak | |strong zeta peak | ||
|- | |- | ||
|327ed7 | |[[327ed7]] | ||
|116.479750184323 | |116.479750184323 | ||
|10.3022198974591 | |10.3022198974591 | ||
|695zpi no-2 no-3 no-5 analogue | |[[695zpi no-2 no-3 no-5 analogue]] | ||
|116.481879086492 | |116.481879086492 | ||
|10.3020316070705 | |10.3020316070705 | ||
|strong no-2 no-3 no-5 zeta peak | |strong no-2 no-3 no-5 zeta peak | ||
|- | |- | ||
|171edo | |[[171edo]] | ||
|171 | |171 | ||
|7.01754385964912 | |7.01754385964912 | ||
|1114zpi | |[[1114zpi]] | ||
|170.995891689006 | |170.995891689006 | ||
|7.01771246166817 | |7.01771246166817 | ||
|exceptionally strong zeta peak | |exceptionally strong zeta peak | ||
|- | |- | ||
|270edo | |[[270edo]] | ||
|270 | |270 | ||
|4.44444444444444 | |4.44444444444444 | ||
|1936zpi | |[[1936zpi]] | ||
|270.017794631965 | |270.017794631965 | ||
|4.44415154799558 | |4.44415154799558 | ||
|exceptionally strong zeta peak | |exceptionally strong zeta peak | ||
|- | |- | ||
|311edo | |[[311edo]] | ||
|311 | |311 | ||
|3.85852090032154 | |3.85852090032154 | ||
|2293zpi | |[[2293zpi]] | ||
|311.004029926555 | |311.004029926555 | ||
|3.85847090239759 | |3.85847090239759 | ||
|exceptionally strong zeta peak | |exceptionally strong zeta peak | ||
|- | |- | ||
|342edo | |[[342edo]] | ||
|342 | |342 | ||
|3.50877192982456 | |3.50877192982456 | ||
| Line 483: | Line 483: | ||
|171*2^n family | |171*2^n family | ||
|- | |- | ||
|684edo | |[[684edo]] | ||
|684 | |684 | ||
|1.75438596491228 | |1.75438596491228 | ||
Revision as of 15:24, 9 June 2025
Equal-step tunings
Equal divisions of a ratio & optimization
| EDRs | Optimization | Comments | ||||
|---|---|---|---|---|---|---|
| EDR | Steps per octave | Cents | Optimization | Steps per octave | Cents | Why it matters |
| 7ed5/3 | 9.49840814199707 | 126.336958999921 | Benson Alpha 5/3 | 9.50583353877785 | 126.238272015258 | Alpha 5/3 |
| 10edo | 10 | 120. | None | EDO ≤ 29 | ||
| 11edo | 11 | 109.090909090909 | None | EDO ≤ 29 | ||
| 12edo | 12 | 100. | 34zpi | 12.0231830072926 | 99.8071807833375 | EDO ≤ 29, strong zeta peak |
| 9ed5/3 | 12.2122390397105 | 98.2620792221608 | Benson Beta 5/3 | 12.2053823008782 | 98.3172808862904 | Beta 5/3 |
| 13edo | 13 | 92.3076923076923 | None | EDO ≤ 29 | ||
| 14edo | 14 | 85.7142857142857 | 42zpi | 13.9002525327005 | 86.3293668353859 | EDO ≤ 29 & medium zeta peak |
| 15edo | 15 | 80. | 47zpi | 15.0534898676781 | 79.7157343943591 | EDO ≤ 29 & medium zeta peak |
| 9ed3/2 | 15.3856016221631 | 77.9950000961542 | Benson Alpha 3/2 | 15.3915238996928 | 77.9649895501219 | Alpha 3/2 |
| 16edo | 16 | 75. | None | EDO ≤ 29 | ||
| 17edo | 17 | 70.5882352941176 | 56zpi | 17.0445886606675 | 70.4035764012981 | EDO ≤ 29 & medium zeta peak |
| 18edo | 18 | 66.6666666666667 | None | EDO ≤ 29 | ||
| 11ed3/2 | 18.8046242048660 | 63.8140909877625 | Benson Beta 3/2 | 18.7990736394111 | 63.8329325698408 | Beta 3/2 |
| 19edo | 19 | 63.1578947368421 | 65zpi | 18.9480867166984 | 63.3309324546460 | EDO ≤ 29, strong zeta peak |
| 20edo | 20 | 60. | None | EDO ≤ 29 | ||
| 21edo | 21 | 57.1428571428571 | None | EDO ≤ 29 | ||
| 16ed5/3 | 21.7106471817076 | 55.2724195624655 | Benson Gamma 5/3 | 21.7094399215509 | 55.2754932571412 | Gamma 5/3 |
| 22edo | 22 | 54.5454545454545 | 80zpi | 22.0251467420146 | 54.4831784348982 | EDO ≤ 29, strong zeta peak |
| 11ed7/5 | 22.6604698881676 | 52.9556538731173 | Benson Alpha 7/5 | 22.6653911133366 | 52.9441558718088 | Alpha 7/5 |
| 23edo | 23 | 52.1739130434783 | None | EDO ≤ 29 | ||
| 24edo | 24 | 50. | 90zpi | 24.0057421830853 | 49.9880399800983 | EDO ≤ 29 & medium zeta peak |
| 39edt | 24.6062603892868 | 48.7680769452663 | 93zpi no-2 analogue | 24.5738316304204 | 48.8324335434323 | strong no-2 zeta peak |
| 25edo | 25 | 48. | None | EDO ≤ 29 | ||
| 26edo | 26 | 46.1538461538462 | 100zpi | 25.9356996537225 | 46.2682717652372 | EDO ≤ 29 & medium zeta peak |
| 13ed7/5 | 26.7805553223799 | 44.8086302003300 | Benson Beta 7/5 | 26.7758951088566 | 44.8164289231577 | Beta 7/5 |
| 27edo | 27 | 44.4444444444444 | 106zpi | 27.0866140827635 | 44.3023257293579 | EDO ≤ 29, strong zeta peak |
| 28edo | 28 | 42.8571428571429 | None | EDO ≤ 29 | ||
| 29edo | 29 | 41.3793103448276 | 116zpi | 28.9399661541990 | 41.4651487014917 | EDO ≤ 29 & medium zeta peak |
| 31edo | 31 | 38.7096774193548 | 127zpi | 30.9783816349790 | 38.7366910944446 | strong zeta peak |
| 13ed4/3 | 31.3224709154917 | 38.3111537795856 | Benson Alpha 4/3 | 31.3266790320926 | 38.3060074376432 | Alpha 4/3 |
| 34edo | 34 | 35.2941176470588 | 144zpi | 34.0448410043159 | 35.2476312005063 | strong zeta peak |
| 20ed3/2 | 34.1902258270291 | 35.0977500432694 | Benson Gamma 3/2 | 34.1894540921914 | 35.0985422804417 | Gamma 3/2 |
| 56edt | 35.3320662000016 | 33.9634821583105 | 151zpi no-2 analogue | 35.3059427335609 | 33.9886123153798 | strong no-2 zeta peak |
| 36edo | 36 | 33.3333333333333 | 155zpi no-5 analogue | 35.9775957344990 | 33.3540909419168 | strong no-5 zeta peak |
| 15ed4/3 | 36.1413125947981 | 33.2029999423075 | Benson Beta 4/3 | 36.1372975038827 | 33.2066890135066 | Beta 4/3 |
| 37edo | 37 | 32.4324324324324 | 161zpi no-3 analogue | 37.0117501336435 | 32.4221360964286 | strong no-3 zeta peak |
| 41edo | 41 | 29.2682926829268 | 184zpi | 40.9880783925993 | 29.2768055263764 | strong zeta peak |
| 96ed5 | 41.3449495750457 | 29.0241011860920 | 186zpi no-2 no-3 analogue | 41.3477989230936 | 29.0221010852836 | strong no-2 no-3 zeta peak |
| 66edt | 41.6413637357162 | 28.8175000131119 | 188zpi no-2 no-5 analogue | 41.6281274155763 | 28.8266629920756 | strong no-2 no-5 zeta peak |
| 46edo | 46 | 26.0869565217391 | 214zpi | 46.0089748051542 | 26.0818678330031 | strong zeta peak |
| 24ed7/5 | 49.4410252105475 | 24.2713413585121 | Benson Gamma 7/5 | 49.4404896216012 | 24.2716042900130 | Gamma 7/5 |
| 53edo | 53 | 22.6415094339623 | 257zpi | 52.9968291550147 | 22.6428640945673 | strong zeta peak |
| 57edo | 57 | 21.0526315789474 | 282zpi no-3 no-5 analogue | 56.9949885079207 | 21.0544827083040 | strong no-3 no-5 zeta peak |
| 58edo | 58 | 20.6896551724138 | 289zpi | 58.0667185533159 | 20.6658827964969 | strong zeta peak |
| 60edo | 60 | 20.0000000000000 | 301zpi | 59.9201656607655 | 20.0266469020418 | strong zeta peak |
| 65edo | 65 | 18.4615384615385 | 334zpi | 65.0158450885860 | 18.4570391781413 | strong zeta peak |
| 28ed4/3 | 67.4637835102899 | 17.7873213976647 | Benson Gamma 4/3 | 67.4633901646646 | 17.7874251067289 | Gamma 4/3 |
| 68edo | 68 | 17.6470588235294 | 354zpi | 68.0493056282519 | 17.6342725163943 | strong zeta peak |
| 72edo | 72 | 16.6666666666667 | 380zpi | 71.9506065993786 | 16.6781081733140 | strong zeta peak |
| 77edo | 77 | 15.5844155844156 | 414zpi | 76.9918536925042 | 15.5860645308353 | strong zeta peak |
| 80edo | 80 | 15.0000000000000 | 435zpi | 80.0731374302484 | 14.9862992572924 | strong zeta peak |
| 83edo | 83 | 14.4578313253012 | 455zpi no-3 no-5 analogue | 82.9585473728587 | 14.4650555970632 | strong no-3 no-5 zeta peak |
| 84edo | 84 | 14.2857142857143 | 462zpi | 83.9972142607288 | 14.2861880666087 | strong zeta peak |
| 87edo | 87 | 13.7931034482759 | 483zpi | 87.0139255957575 | 13.7908960178956 | strong zeta peak |
| 94edo | 94 | 12.7659574468085 | 532zpi | 93.9836761074943 | 12.7681747480009 | strong zeta peak |
| 99edo | 99 | 12.1212121212121 | 568zpi | 99.0473345956631 | 12.1154194093028 | strong zeta peak |
| 327ed7 | 116.479750184323 | 10.3022198974591 | 695zpi no-2 no-3 no-5 analogue | 116.481879086492 | 10.3020316070705 | strong no-2 no-3 no-5 zeta peak |
| 171edo | 171 | 7.01754385964912 | 1114zpi | 170.995891689006 | 7.01771246166817 | exceptionally strong zeta peak |
| 270edo | 270 | 4.44444444444444 | 1936zpi | 270.017794631965 | 4.44415154799558 | exceptionally strong zeta peak |
| 311edo | 311 | 3.85852090032154 | 2293zpi | 311.004029926555 | 3.85847090239759 | exceptionally strong zeta peak |
| 342edo | 342 | 3.50877192982456 | None | 171*2^n family | ||
| 684edo | 684 | 1.75438596491228 | None | 171*2^n family | ||