| Name
|
Steps per octave
|
Step size (cents)
|
Why it matters
|
| 5edo
|
5
|
|
EDO ≤ 29, Alpha 2/1 analogue
|
| 6edo
|
6
|
|
EDO ≤ 29
|
| 7edo
|
7
|
|
EDO ≤ 29, Beta 2/1 analogue
|
| 8edo
|
8
|
|
EDO ≤ 29
|
| 9edo
|
9
|
|
EDO ≤ 29
|
| 7ed5/3
|
|
|
Alpha 5/3 analogue
|
| 10edo
|
10
|
|
EDO ≤ 29
|
| 26zpi
|
10.0084563372591
|
119.898609691954
|
|
| 11edo
|
11
|
|
EDO ≤ 29
|
| 12edo
|
12
|
|
EDO ≤ 29, Has a strong zeta peak, Gamma 2/1 analogue
|
| 34zpi
|
12.0231830072926
|
99.8071807833375
|
|
| 9ed5/3
|
|
|
Beta 5/3 analogue
|
| 13edo
|
13
|
|
EDO ≤ 29
|
| 42zpi
|
13.9002525327005
|
86.3293668353859
|
|
| 14edo
|
14
|
|
EDO ≤ 29
|
| 15edo
|
15
|
|
EDO ≤ 29
|
| 47zpi
|
15.0534898676781
|
79.7157343943591
|
|
| 9ed3/2
|
|
|
Carlos Alpha 3/2
|
| 51zpi
|
15.9443732426877
|
75.2616601314409
|
|
| 16edo
|
16
|
|
EDO ≤ 29
|
| 17edo
|
17
|
|
EDO ≤ 29
|
56zpi no-5 analogue
|
17.0347927675362037047409871190907115584257359751871828691074626558313
|
|
|
| 56zpi
|
17.0445886606675
|
70.4035764012981
|
|
| 18edo
|
18
|
|
EDO ≤ 29
|
| 11ed3/2
|
|
|
Carlos Beta 3/2
|
| 65zpi
|
18.9480867166984
|
63.3309324546460
|
|
| 19edo
|
19
|
|
EDO ≤ 29, Has a strong zeta peak
|
| 20edo
|
20
|
|
EDO ≤ 29
|
| 21edo
|
21
|
|
EDO ≤ 29
|
| 75zpi
|
21.0279383259393
|
57.0669354931351
|
|
| 16ed5/3
|
|
|
Gamma 5/3 analogue
|
| 22edo
|
22
|
|
EDO ≤ 29, Has a strong zeta peak
|
| 80zpi
|
22.0251467420146
|
54.4831784348982
|
|
| 11ed7/5
|
|
|
Alpha 7/5 analogue
|
| 23edo
|
23
|
|
EDO ≤ 29
|
| 24edo
|
24
|
|
EDO ≤ 29
|
| 90zpi
|
24.0057421830853
|
49.9880399800983
|
|
| 93zpi no-2 analogue
|
24.5738316304204445883184323365600165414701853056787276394517489970293
|
48.8324335434322607337830293873763777285246843568212813459755275268185837463
|
|
93zpi
|
24.5782550666850
|
48.8236449961234
|
|
| 39edt
|
24.6062603892868400468815574593676733176838399651433366869555428097087228538
|
|
Has a strong no-2 zeta peak
|
| 25edo
|
25
|
|
EDO ≤ 29
|
| 100zpi
|
25.9356996537225
|
46.2682717652372
|
|
| 26edo
|
26
|
|
EDO ≤ 29
|
| 13ed7/5
|
|
|
Beta 7/5 analogue
|
| 27edo
|
27
|
|
EDO ≤ 29, Has a strong zeta peak
|
| 106zpi
|
27.0866140827635
|
44.3023257293579
|
|
| 28edo
|
28
|
|
EDO ≤ 29
|
| 116zpi
|
28.9399661541990
|
41.4651487014917
|
|
| 29edo
|
29
|
|
EDO ≤ 29
|
| 127zpi
|
30.9783816349790
|
38.7366910944446
|
|
| 31edo
|
31
|
|
Has a strong zeta peak
|
| 13ed4/3
|
|
|
Alpha 4/3 analogue
|
| 34edo
|
34
|
|
Has a strong zeta peak
|
| 144zpi
|
34.0448410043159
|
35.2476312005063
|
|
| 20ed3/2
|
|
|
Carlos Gamma 3/2
|
151zpi
|
35.2948974160593
|
33.9992488391253
|
|
| 151zpi no-2 analogue
|
35.3059427335608633586867709728239574896988978536248407971925774931920
|
33.9886123153797795726938859938695575674205028551304634432771826217692714955
|
|
| 56edt
|
35.3320662000016164775735184031946078407767958473853039607566768549663712773
|
|
Has a strong no-2 zeta peak
|
| 155zpi no-5 analogue
|
35.9775957344990354876843659181629374042162799645238247644819739175425
|
33.3540909419168338960282298282173036675588854165862895775989035929190051321
|
|
155zpi
|
35.9823877000425
|
33.3496490006021
|
|
| 36edo
|
36
|
|
Has a strong no-5 zeta peak
|
| 15ed4/3
|
|
|
Beta 4/3 analogue
|
| 37edo
|
37
|
|
Has a strong no-3 zeta peak
|
| 161zpi no-3 analogue
|
37.0117501336435252522939269985227920601261578745487306336979972897294
|
32.4221360964286053986540281462323756320027885683144327873809896041665053646
|
|
161zpi
|
37.0275229191254
|
32.4083250889078
|
|
| 184zpi
|
40.9880783925993
|
29.2768055263764
|
|
| 41edo
|
41
|
|
Has a strong zeta peak
|
186zpi
|
41.3438354846780
|
29.0248832971658
|
|
| 96ed5
|
41.3449495750457328643302306013407006787000254796570031349096996442235599236
|
|
Has a strong no-2 no-3 zeta peak
|
| 186zpi no-2 no-3 analogue
|
41.3477989230936
|
29.0221010852836
|
|
| 188zpi no-2 no-5 analogue
|
41.6281274155763001275416027845619755345480144939422820248677372190977
|
28.8266629920755754571831740158108063867663530357929200798818480023767470361
|
|
| 66edt
|
41.6413637357161908485687895466222163837726522487041082394632262933532232911
|
|
Has a strong no-2 no-5 zeta peak
|
188zpi
|
41.6477381898475
|
28.8130893094339
|
|
| 46edo
|
46
|
|
Has a strong zeta peak
|
| 214zpi
|
46.0089748051542
|
26.0818678330031
|
|
| 24ed7/5
|
|
|
Gamma 7/5 analogue
|
| 257zpi
|
52.9968291550147
|
22.6428640945673
|
|
| 53edo
|
53
|
|
Has a strong zeta peak
|
282zpi
|
56.9682909142655
|
21.0643496713977
|
|
| 282zpi no-3 no-5 analogue
|
56.9949885079206769176514037038198357725273287855611008976484058072516
|
21.0544827083039808806917479490481104480956786904618314090632684997207904034
|
|
| 57edo
|
57
|
|
Has a strong no-3 no-5 zeta peak
|
| 58edo
|
58
|
|
Has a strong zeta peak
|
| 289zpi
|
58.0667185533159
|
20.6658827964969
|
|
| 301zpi
|
59.9201656607655
|
20.0266469020418
|
|
| 60edo
|
60
|
|
Has a strong zeta peak
|
| 65edo
|
65
|
|
Has a strong zeta peak
|
| 334zpi
|
65.0158450885860
|
18.4570391781413
|
|
| 28ed4/3
|
|
|
Gamma 4/3 analogue
|
| 68edo
|
68
|
|
Has a strong zeta peak
|
| 354zpi
|
68.0493056282519
|
17.6342725163943
|
|
| 380zpi
|
71.9506065993786
|
16.6781081733140
|
|
| 72edo
|
72
|
|
Has a strong zeta peak
|
| 414zpi
|
76.9918536925042
|
15.5860645308353
|
|
| 77edo
|
77
|
|
Has a strong zeta peak
|
| 80edo
|
80
|
|
Has a strong zeta peak
|
| 435zpi
|
80.0731374302484
|
14.9862992572924
|
|
| 455zpi no-3 no-5 analogue
|
82.9585473728587401934282446836610895074185494886540503684148508037660
|
14.4650555970631644892614919440394905869155594072293855522604093941309631517
|
|
455zpi
|
82.9665108106434
|
14.4636671866169
|
|
| 83edo
|
83
|
|
Has a strong no-3 no-5 zeta peak
|
| 462zpi
|
83.9972142607288
|
14.2861880666087
|
|
| 84edo
|
84
|
|
Has a strong zeta peak
|
| 87edo
|
87
|
|
Has a strong zeta peak
|
| 483zpi
|
87.0139255957575
|
13.7908960178956
|
|
| 532zpi
|
93.9836761074943
|
12.7681747480009
|
|
| 94edo
|
94
|
|
Has a strong zeta peak
|
| 99edo
|
99
|
|
Has a strong zeta peak
|
| 568zpi
|
99.0473345956631
|
12.1154194093028
|
|
| 327ed7
|
116.479750184323251720135904506422003080366592226710079912941501697613698777
|
|
Has a strong no-2 no-3 no-5 zeta peak
|
| 695zpi no-2 no-3 no-5 analogue
|
116.481879086491562246584713240674074197523436163157572853694264779074
|
10.3020316070704971370763940790472253291607124811459581948058543261473166559
|
|
695zpi
|
116.484048333840
|
10.3018397554387
|
|
| 1114zpi
|
170.995891689006
|
7.01771246166817
|
|
| 171edo
|
171
|
|
Exceptionally strong zeta peak
|
| 270edo
|
270
|
|
Exceptionally strong zeta peak
|
| 1936zpi
|
270.017794631965
|
4.44415154799558
|
|
| 311edo
|
311
|
|
Exceptionally strong zeta peak
|
| 2293zpi
|
311.004029926555
|
3.85847090239759
|
|
| 342edo
|
342
|
|
171*2^n family
|
| 684edo
|
684
|
|
171*2^n family
|