| EDRs
|
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.
|
None
|
|
| 11edo
|
11
|
109.090909090909
|
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
|
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.
|
None
|
|
| 17edo
|
17
|
70.5882352941176
|
56zpi
|
17.0445886606675
|
70.4035764012981
|
EDO ≤ 29
|
| 18edo
|
18
|
66.6666666666667
|
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.
|
None
|
|
| 21edo
|
21
|
57.1428571428571
|
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
|
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.
|
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
|
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
|
None
|
|
| 684edo
|
684
|
1.75438596491228
|
None
|
|