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=== Equal divisions of a ratio & optimization ===
=== Equal divisions of a ratio & optimization ===
 
{| class="wikitable"
|+
! colspan="3" |EDRs
! colspan="3" |Optimization
!Comments
|-
!EDR
!Steps per octave
!Cents
!Optimization
!Steps per octave
!Cents
!Why it matters
|-
|7ed5/3
|9.49840814199707
|126.336958999921
|
|9.50583353877785
|126.238272015258
|Alpha 5/3 analogue
|-
|10edo
|10
|120.
| colspan="3" |None
|
|-
|11edo
|11
|109.090909090909
| colspan="3" |None
|
|-
|12edo
|12
|100.
|34zpi
|12.0231830072926
|99.8071807833375
|EDO ≤ 29, Has a strong zeta peak
|-
|9ed5/3
|12.2122390397105
|98.2620792221608
|
|12.2053823008782
|98.3172808862904
|Beta 5/3 analogue
|-
|13edo
|13
|92.3076923076923
| colspan="3" |None
|
|-
|14edo
|14
|85.7142857142857
|42zpi
|13.9002525327005
|86.3293668353859
|EDO ≤ 29
|-
|15edo
|15
|80.
|47zpi
|15.0534898676781
|79.7157343943591
|EDO ≤ 29
|-
|9ed3/2
|15.3856016221631
|77.9950000961542
|
|15.3915238996928
|77.9649895501219
|Carlos Alpha 3/2
|-
|16edo
|16
|75.
| colspan="3" |None
|
|-
|17edo
|17
|70.5882352941176
|56zpi
|17.0445886606675
|70.4035764012981
|EDO ≤ 29
|-
|18edo
|18
|66.6666666666667
| colspan="3" |None
|
|-
|11ed3/2
|18.8046242048660
|63.8140909877625
|
|18.7990736394111
|63.8329325698408
|Carlos Beta 3/2
|-
|19edo
|19
|63.1578947368421
|65zpi
|18.9480867166984
|63.3309324546460
|EDO ≤ 29, Has a strong zeta peak
|-
|20edo
|20
|60.
| colspan="3" |None
|
|-
|21edo
|21
|57.1428571428571
| colspan="3" |None
|
|-
|16ed5/3
|21.7106471817076
|55.2724195624655
|
|21.7094399215509
|55.2754932571412
|Gamma 5/3 analogue
|-
|22edo
|22
|54.5454545454545
|80zpi
|22.0251467420146
|54.4831784348982
|EDO ≤ 29, Has a strong zeta peak
|-
|11ed7/5
|22.6604698881676
|52.9556538731173
|
|22.6653911133366
|52.9441558718088
|Alpha 7/5 analogue
|-
|23edo
|23
|52.1739130434783
| colspan="3" |None
|
|-
|24edo
|24
|50.
|90zpi
|24.0057421830853
|49.9880399800983
|EDO ≤ 29
|-
|39edt
|24.6062603892868
|48.7680769452663
|93zpi no-2 analogue
|24.5738316304204
|48.8324335434323
|Has a strong no-2 zeta peak
|-
|25edo
|25
|48.
| colspan="3" |None
|
|-
|26edo
|26
|46.1538461538462
|100zpi
|25.9356996537225
|46.2682717652372
|EDO ≤ 29
|-
|13ed7/5
|26.7805553223799
|44.8086302003300
|
|26.7758951088566
|44.8164289231577
|Beta 7/5 analogue
|-
|27edo
|27
|44.4444444444444
|106zpi
|27.0866140827635
|44.3023257293579
|EDO ≤ 29, Has a strong zeta peak
|-
|28edo
|28
|42.8571428571429
| colspan="3" |None
|
|-
|29edo
|29
|41.3793103448276
|116zpi
|28.9399661541990
|41.4651487014917
|EDO ≤ 29
|-
|31edo
|31
|38.7096774193548
|127zpi
|30.9783816349790
|38.7366910944446
|Has a strong zeta peak
|-
|13ed4/3
|31.3224709154917
|38.3111537795856
|
|31.3266790320926
|38.3060074376432
|Alpha 4/3 analogue
|-
|34edo
|34
|35.2941176470588
|144zpi
|34.0448410043159
|35.2476312005063
|Has a strong zeta peak
|-
|20ed3/2
|34.1902258270291
|35.0977500432694
|
|34.1894540921914
|35.0985422804417
|Carlos Gamma 3/2
|-
|56edt
|35.3320662000016
|33.9634821583105
|151zpi no-2 analogue
|35.3059427335609
|33.9886123153798
|Has a strong no-2 zeta peak
|-
|36edo
|36
|33.3333333333333
|155zpi no-5 analogue
|35.9775957344990
|33.3540909419168
|Has a strong no-5 zeta peak
|-
|15ed4/3
|36.1413125947981
|33.2029999423075
|
|36.1372975038827
|33.2066890135066
|Beta 4/3 analogue
|-
|37edo
|37
|32.4324324324324
|161zpi no-3 analogue
|37.0117501336435
|32.4221360964286
|Has a strong no-3 zeta peak
|-
|41edo
|41
|29.2682926829268
|184zpi
|40.9880783925993
|29.2768055263764
|Has a strong zeta peak
|-
|96ed5
|41.3449495750457
|29.0241011860920
|186zpi no-2 no-3 analogue
|41.3477989230936
|29.0221010852836
|Has a strong no-2 no-3 zeta peak
|-
|66edt
|41.6413637357162
|28.8175000131119
|188zpi no-2 no-5 analogue
|41.6281274155763
|28.8266629920756
|Has a strong no-2 no-5 zeta peak
|-
|46edo
|46
|26.0869565217391
|214zpi
|46.0089748051542
|26.0818678330031
|Has a strong zeta peak
|-
|24ed7/5
|49.4410252105475
|24.2713413585121
|
|49.4404896216012
|24.2716042900130
|Gamma 7/5 analogue
|-
|53edo
|53
|22.6415094339623
|257zpi
|52.9968291550147
|22.6428640945673
|Has a strong zeta peak
|-
|57edo
|57
|21.0526315789474
|282zpi no-3 no-5 analogue
|56.9949885079207
|21.0544827083040
|Has a strong no-3 no-5 zeta peak
|-
|58edo
|58
|20.6896551724138
|289zpi
|58.0667185533159
|20.6658827964969
|Has a strong zeta peak
|-
|60edo
|60
|20.0000000000000
|301zpi
|59.9201656607655
|20.0266469020418
|Has a strong zeta peak
|-
|65edo
|65
|18.4615384615385
|334zpi
|65.0158450885860
|18.4570391781413
|Has a strong zeta peak
|-
|28ed4/3
|67.4637835102899
|17.7873213976647
|
|67.4633901646646
|17.7874251067289
|Gamma 4/3 analogue
|-
|68edo
|68
|17.6470588235294
|354zpi
|68.0493056282519
|17.6342725163943
|Has a strong zeta peak
|-
|72edo
|72
|16.6666666666667
|380zpi
|71.9506065993786
|16.6781081733140
|Has a strong zeta peak
|-
|77edo
|77
|15.5844155844156
|414zpi
|76.9918536925042
|15.5860645308353
|Has a strong zeta peak
|-
|80edo
|80
|15.0000000000000
|435zpi
|80.0731374302484
|14.9862992572924
|Has a strong zeta peak
|-
|83edo
|83
|14.4578313253012
|455zpi no-3 no-5 analogue
|82.9585473728587
|14.4650555970632
|Has a strong no-3 no-5 zeta peak
|-
|84edo
|84
|14.2857142857143
|462zpi
|83.9972142607288
|14.2861880666087
|Has a strong zeta peak
|-
|87edo
|87
|13.7931034482759
|483zpi
|87.0139255957575
|13.7908960178956
|Has a strong zeta peak
|-
|94edo
|94
|12.7659574468085
|532zpi
|93.9836761074943
|12.7681747480009
|Has a strong zeta peak
|-
|99edo
|99
|12.1212121212121
|568zpi
|99.0473345956631
|12.1154194093028
|Has a strong zeta peak
|-
|327ed7
|116.479750184323
|10.3022198974591
|695zpi no-2 no-3 no-5 analogue
|116.481879086492
|10.3020316070705
|Has a 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
| colspan="3" |None
|
|-
|684edo
|684
|1.75438596491228
| colspan="3" |None
|
|}
{| class="wikitable sortable"
{| class="wikitable sortable"
|+ style="font-size: 105%;" | EDRs collection & optimization
|+ style="font-size: 105%;" | EDRs collection & optimization
Retrieved from "https://en.xen.wiki/w/User:Contribution/Collection_of_tunings"