Table of zeta-stretched edos: Difference between revisions

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'''Explanation of what this is''': [[The Riemann Zeta Function and Tuning#Optimal Octave Stretch]].
'''Explanation of what a 'zeta stretched edo' is''': [[The Riemann Zeta Function and Tuning#Optimal Octave Stretch]].


'''Instructions on how to calculate the second column using the free version of Wolfram Cloud''':
'''Instructions on how to calculate the second column using the free version of Wolfram Cloud''':
Line 9: Line 9:
{| class="wikitable sortable"
{| class="wikitable sortable"
!Edo
!Edo
!No. of steps per 1200 [[cents]]
!No. of steps per 1200 cents
!Step size (cents)
!Step size (cents)
![[Octave]] size (cents)
!Octave size (cents)
!Zeta peak height
!Zeta peak height
![[ZPI|Zeta peak index]]
!Zeta peak index
!Gram point index
!Gram point index
|-
|-
|'''[[1edo]]'''
|1edo
|'''1.127'''
|1.127
|'''1064.774'''
|1064.774
|'''1064.774'''
|1064.774
|'''1.6'''
|1.6
|1
|1
| -1
| -1
|-
|-
|'''[[2edo]]'''
|2edo
|'''1.972'''
|1.972
|'''608.519'''
|608.519
|'''1217.039'''
|1217.039
|'''2.3'''
|2.3
|2
|2
|0
|0
|-
|-
|'''[[3edo]]'''
|3edo
|'''3.06'''
|3.06
|'''392.157'''
|392.157
|'''1176.471'''
|1176.471
|'''2.8'''
|2.8
|4
|4
|2
|2
|-
|-
|'''[[4edo]]'''
|4edo
|'''3.904'''
|3.904
|'''307.377'''
|307.377
|'''1229.508'''
|1229.508
|'''3.0'''
|3.0
|6
|6
|4
|4
|-
|-
|'''[[5edo]]'''
|5edo
|'''5.034'''
|5.034
|'''238.379'''
|238.379
|'''1191.895'''
|1191.895
|'''3.7'''
|3.7
|9
|9
|7
|7
|-
|-
|[[6edo]]
|6edo
|6.035
|6.035
|198.840
|198.840
Line 64: Line 64:
|10
|10
|-
|-
|'''[[7edo]]'''
|7edo
|'''6.957'''
|6.957
|'''172.488'''
|172.488
|'''1207.417'''
|1207.417
|'''4.2'''
|4.2
|15
|15
|13
|13
|-
|-
|[[8edo]]
|8edo
|8.137
|8.137
|147.474
|147.474
Line 80: Line 80:
|17
|17
|-
|-
|[[9edo]]
|9edo
|8.95
|8.95
|134.078
|134.078
Line 88: Line 88:
|20
|20
|-
|-
|'''[[10edo]]'''
|10edo
|'''10.008'''
|10.008
|'''119.904'''
|119.904
|'''1199.041'''
|1199.041
|'''4.5'''
|4.5
|26
|26
|24
|24
|-
|-
|[[11edo]]
|11edo
|11.037
|11.037
|108.725
|108.725
Line 104: Line 104:
|28
|28
|-
|-
|'''[[12edo]]'''
|12edo
|'''12.023'''
|12.023
|'''99.809'''
|99.809
|'''1197.704'''
|1197.704
|'''5.2'''
|5.2
|34
|34
|32
|32
|-
|-
|[[13edo]]
|13edo
|12.969
|12.969
|92.528
|92.528
Line 120: Line 120:
|36
|36
|-
|-
|[[14edo]]
|14edo
|13.9
|13.9
|86.331
|86.331
Line 128: Line 128:
|40
|40
|-
|-
|[[15edo]]
|15edo
|15.053
|15.053
|79.718
|79.718
Line 136: Line 136:
|45
|45
|-
|-
|[[16edo]]
|16edo
|15.945
|15.945
|75.259
|75.259
Line 144: Line 144:
|49
|49
|-
|-
|[[17edo]]
|17edo
|17.045
|17.045
|70.402
|70.402
Line 152: Line 152:
|54
|54
|-
|-
|[[18edo]]
|18edo
|18.119
|18.119
|66.229
|66.229
Line 160: Line 160:
|59
|59
|-
|-
|'''[[19edo]]'''
|19edo
|'''18.948'''
|18.948
|'''63.331'''
|63.331
|'''1203.293'''
|1203.293
|'''6.0'''
|6.0
|65
|65
|63
|63
|-
|-
|[[20edo]]
|20edo
|19.982
|19.982
|60.054
|60.054
Line 176: Line 176:
|
|
|-
|-
|[[21edo]]
|21edo
|21.028
|21.028
|57.067
|57.067
Line 184: Line 184:
|
|
|-
|-
|'''[[22edo]]'''
|22edo
|'''22.025'''
|22.025
|'''54.484'''
|54.484
|'''1198.638'''
|1198.638
|'''6.1'''
|6.1
|
|
|
|
|-
|-
|[[23edo]] (1st peak)
|23edo (1st peak)
|22.807
|22.807
|52.615
|52.615
Line 200: Line 200:
|
|
|-
|-
|[[23edo]] (2nd peak)
|23edo (2nd peak)
|23.026
|23.026
|52.115
|52.115
Line 208: Line 208:
|
|
|-
|-
|[[24edo]]
|24edo
|24.006
|24.006
|49.988
|49.988
Line 216: Line 216:
|
|
|-
|-
|[[25edo]]
|25edo
|24.965
|24.965
|48.067
|48.067
Line 224: Line 224:
|
|
|-
|-
|[[26edo]]
|26edo
|25.936
|25.936
|46.268
|46.268
Line 232: Line 232:
|
|
|-
|-
|'''[[27edo]]'''
|27edo
|'''27.087'''
|27.087
|'''44.302'''
|44.302
|'''1196.146'''
|1196.146
|'''6.1'''
|6.1
|
|
|
|
|-
|-
|[[28edo]]
|28edo
|28.032
|28.032
|42.808
|42.808
Line 248: Line 248:
|
|
|-
|-
|[[29edo]]
|29edo
|28.94
|28.94
|41.465
|41.465
Line 256: Line 256:
|
|
|-
|-
|[[30edo]]
|30edo
|30.062
|30.062
|39.918
|39.918
Line 264: Line 264:
|
|
|-
|-
|'''[[31edo]]'''
|31edo
|'''30.978'''
|30.978
|'''38.737'''
|38.737
|'''1200.852'''
|1200.852
|'''7.0'''
|7.0
|127
|127
|125
|125
|-
|-
|[[32edo]]
|32edo
|32.07
|32.07
|37.418
|37.418
Line 280: Line 280:
|
|
|-
|-
|[[33edo]]
|33edo
|32.972
|32.972
|36.395
|36.395
Line 288: Line 288:
|
|
|-
|-
|[[34edo]]
|34edo
|34.045
|34.045
|35.247
|35.247
Line 296: Line 296:
|
|
|-
|-
|[[35edo]]
|35edo
|34.926
|34.926
|34.358
|34.358
Line 304: Line 304:
|
|
|-
|-
|[[36edo]]
|36edo
|35.982
|35.982
|33.350
|33.350
Line 312: Line 312:
|
|
|-
|-
|[[37edo]]
|37edo
|37.027
|37.027
|32.409
|32.409
Line 320: Line 320:
|
|
|-
|-
|[[38edo]] (1st peak)
|38edo (1st peak)
|37.89
|37.89
|31.671
|31.671
Line 328: Line 328:
|
|
|-
|-
|[[38edo]] (2nd peak)
|38edo (2nd peak)
|38.103
|38.103
|31.494
|31.494
Line 336: Line 336:
|
|
|-
|-
|[[39edo]] (1st peak)
|39edo (1st peak)
|38.916
|38.916
|30.836
|30.836
Line 344: Line 344:
|
|
|-
|-
|[[39edo]] (2nd peak)
|39edo (2nd peak)
|39.124
|39.124
|30.672
|30.672
Line 352: Line 352:
|
|
|-
|-
|[[40edo]]
|40edo
|39.968
|39.968
|30.024
|30.024
Line 360: Line 360:
|
|
|-
|-
|'''[[41edo]]'''
|41edo
|'''40.988'''
|40.988
|'''29.277'''
|29.277
|'''1200.351'''
|1200.351
|'''7.6'''
|7.6
|184
|184
|182
|182
|-
|-
|[[42edo]]
|42edo
|41.999
|41.999
|28.572
|28.572
Line 376: Line 376:
|
|
|-
|-
|[[43edo]]
|43edo
|43.027
|43.027
|27.889
|27.889
Line 384: Line 384:
|
|
|-
|-
|[[44edo]]
|44edo
|44.015
|44.015
|27.263
|27.263
Line 392: Line 392:
|
|
|-
|-
|[[45edo]] (1st peak)
|45edo (1st peak)
|44.84
|44.84
|26.762
|26.762
Line 400: Line 400:
|
|
|-
|-
|[[45edo]] (2nd peak)
|45edo (2nd peak)
|45.035
|45.035
|26.646
|26.646
Line 408: Line 408:
|
|
|-
|-
|[[46edo]]
|46edo
|46.009
|46.009
|26.082
|26.082
Line 416: Line 416:
|
|
|-
|-
|[[47edo]]
|47edo
|47.006
|47.006
|25.529
|25.529
Line 424: Line 424:
|
|
|-
|-
|[[48edo]]
|48edo
|47.988
|47.988
|25.006
|25.006
Line 432: Line 432:
|
|
|-
|-
|[[49edo]] (1st peak)
|49edo (1st peak)
|48.945
|48.945
|24.517
|24.517
Line 440: Line 440:
|
|
|-
|-
|[[49edo]] (2nd peak)
|49edo (2nd peak)
|49.141
|49.141
|24.420
|24.420
Line 448: Line 448:
|
|
|-
|-
|[[50edo]]
|50edo
|49.939
|49.939
|24.029
|24.029
Line 456: Line 456:
|
|
|-
|-
|[[51edo]]
|51edo
|51.079
|51.079
|23.493
|23.493
Line 464: Line 464:
|
|
|-
|-
|[[52edo]]
|52edo
|52.043
|52.043
|23.058
|23.058
Line 472: Line 472:
|
|
|-
|-
|'''[[53edo]]'''
|53edo
|'''52.997'''
|52.997
|'''22.643'''
|22.643
|'''1200.068'''
|1200.068
|'''8.2'''
|8.2
|257
|257
|255
|255
|-
|-
|[[54edo]] (1st peak)
|54edo (1st peak)
|53.949
|53.949
|22.243
|22.243
Line 488: Line 488:
|
|
|-
|-
|[[54edo]] (2nd peak)
|54edo (2nd peak)
|54.116
|54.116
|22.175
|22.175
Line 496: Line 496:
|
|
|-
|-
|[[55edo]]
|55edo
|54.894
|54.894
|21.860
|21.860
Line 504: Line 504:
|
|
|-
|-
|[[56edo]]
|56edo
|56.008
|56.008
|21.426
|21.426
Line 512: Line 512:
|
|
|-
|-
|[[57edo]]
|57edo
|56.968
|56.968
|21.064
|21.064
Line 520: Line 520:
|
|
|-
|-
|[[58edo]]
|58edo
|58.067
|58.067
|20.666
|20.666
Line 528: Line 528:
|
|
|-
|-
|[[59edo]]
|59edo
|58.992
|58.992
|20.342
|20.342
Line 536: Line 536:
|
|
|-
|-
|[[60edo]]
|60edo
|59.92
|59.92
|20.027
|20.027
Line 544: Line 544:
|
|
|-
|-
|[[61edo]]
|61edo
|61.003
|61.003
|19.671
|19.671
Line 552: Line 552:
|
|
|-
|-
|[[62edo]]
|62edo
|61.938
|61.938
|19.374
|19.374
Line 560: Line 560:
|
|
|-
|-
|[[63edo]]
|63edo
|63.019
|63.019
|19.042
|19.042
Line 568: Line 568:
|
|
|-
|-
|[[64edo]]
|64edo
|64.099
|64.099
|18.721
|18.721
Line 576: Line 576:
|
|
|-
|-
|[[65edo]]
|65edo
|65.016
|65.016
|18.457
|18.457
Line 584: Line 584:
|
|
|-
|-
|[[66edo]]
|66edo
|65.916
|65.916
|18.205
|18.205
Line 592: Line 592:
|
|
|-
|-
|[[67edo]]
|67edo
|66.998
|66.998
|17.911
|17.911
Line 600: Line 600:
|
|
|-
|-
|[[68edo]]
|68edo
|68.049
|68.049
|17.634
|17.634
Line 608: Line 608:
|
|
|-
|-
|[[69edo]]
|69edo
|68.96
|68.96
|17.401
|17.401
Line 616: Line 616:
|
|
|-
|-
|[[70edo]]
|70edo
|70.004
|70.004
|17.142
|17.142
Line 624: Line 624:
|
|
|-
|-
|[[71edo]]
|71edo
|71.059
|71.059
|16.887
|16.887
Line 632: Line 632:
|
|
|-
|-
|'''[[72edo]]'''
|72edo
|'''71.951'''
|71.951
|'''16.678'''
|16.678
|'''1200.817'''
|1200.817
|'''9.2'''
|9.2
|380
|380
|378
|378
|-
|-
|[[73edo]]
|73edo
|72.984
|72.984
|16.442
|16.442
Line 648: Line 648:
|
|
|-
|-
|[[74edo]]
|74edo
|74.052
|74.052
|16.205
|16.205
Line 656: Line 656:
|
|
|-
|-
|[[75edo]]
|75edo
|75.091
|75.091
|15.981
|15.981
Line 664: Line 664:
|
|
|-
|-
|[[76edo]]
|76edo
|75.968
|75.968
|15.796
|15.796
Line 672: Line 672:
|
|
|-
|-
|[[77edo]]
|77edo
|76.992
|76.992
|15.586
|15.586
Line 680: Line 680:
|
|
|-
|-
|[[78edo]]
|78edo
|78.021
|78.021
|15.380
|15.380
Line 688: Line 688:
|
|
|-
|-
|[[79edo]]
|79edo
|78.892
|78.892
|15.211
|15.211
Line 696: Line 696:
|
|
|-
|-
|[[80edo]]
|80edo
|80.073
|80.073
|14.986
|14.986
Line 704: Line 704:
|
|
|-
|-
|[[81edo]]
|81edo
|80.947
|80.947
|14.825
|14.825
Line 712: Line 712:
|
|
|-
|-
|[[82edo]]
|82edo
|81.954
|81.954
|14.642
|14.642
Line 720: Line 720:
|
|
|-
|-
|[[83edo]]
|83edo
|82.967
|82.967
|14.464
|14.464
Line 728: Line 728:
|
|
|-
|-
|[[84edo]]
|84edo
|83.997
|83.997
|14.286
|14.286
Line 736: Line 736:
|
|
|-
|-
|[[85edo]]
|85edo
|84.991
|84.991
|14.119
|14.119
Line 744: Line 744:
|
|
|-
|-
|[[86edo]]
|86edo
|86.019
|86.019
|13.950
|13.950
Line 752: Line 752:
|
|
|-
|-
|[[87edo]]
|87edo
|87.014
|87.014
|13.791
|13.791
Line 760: Line 760:
|
|
|-
|-
|[[88edo]]
|88edo
|88.027
|88.027
|13.632
|13.632
Line 768: Line 768:
|
|
|-
|-
|[[89edo]]
|89edo
|89.023
|89.023
|13.480
|13.480
Line 776: Line 776:
|
|
|-
|-
|[[90edo]]
|90edo
|90.006
|90.006
|13.332
|13.332
Line 784: Line 784:
|
|
|-
|-
|[[91edo]] (1st peak)
|91edo (1st peak)
|90.852
|90.852
|13.208
|13.208
Line 792: Line 792:
|
|
|-
|-
|[[91edo]] (2nd peak)
|91edo (2nd peak)
|91.033
|91.033
|13.182
|13.182
Line 800: Line 800:
|
|
|-
|-
|[[92edo]]
|92edo
|91.993
|91.993
|13.044
|13.044
Line 808: Line 808:
|
|
|-
|-
|[[93edo]]
|93edo
|93.002
|93.002
|12.903
|12.903
Line 816: Line 816:
|
|
|-
|-
|[[94edo]]
|94edo
|93.984
|93.984
|12.768
|12.768
Line 824: Line 824:
|
|
|-
|-
|[[95edo]] (1st peak)
|95edo (1st peak)
|94.962
|94.962
|12.637
|12.637
Line 832: Line 832:
|
|
|-
|-
|[[95edo]] (2nd peak)
|95edo (2nd peak)
|95.117
|95.117
|12.616
|12.616
Line 840: Line 840:
|
|
|-
|-
|[[96edo]]
|96edo
|95.954
|95.954
|12.506
|12.506
Line 848: Line 848:
|
|
|-
|-
|[[97edo]]
|97edo
|96.925
|96.925
|12.381
|12.381
Line 856: Line 856:
|
|
|-
|-
|[[98edo]]
|98edo
|97.923
|97.923
|12.255
|12.255
Line 864: Line 864:
|
|
|-
|-
|'''[[99edo]]'''
|99edo
|'''99.047'''
|99.047
|'''12.115'''
|12.115
|'''1199.431'''
|1199.431
|'''9.4'''
|9.4
|
|
|
|
|-
|-
|[[100edo]]
|100edo
|100.024
|100.024
|11.997
|11.997
Line 880: Line 880:
|
|
|-
|-
|[[270edo]]
|270edo
|
|270.018
|
|4.444
|
|1199.920
|
|13.4
|1936
|1936
|1934
|1934
|-
|-
|[[311edo]]
|311edo
|
|311.004
|
|3.858
|
|1199.985
|
|13.1
|2293
|2293
|2291
|2291
|-
|-
|[[342edo]]
|342edo
|
|341.975
|
|3.509
|
|1200.088
|
|13.5
|2568
|2568
|2566
|2566
|-
|-
|[[494edo]]
|494edo
|
|494.014
|
|2.429
|
|1199.966
|
|14.7
|3971
|3971
|3969
|3969
|-
|-
|[[684edo]]
|684edo
|
|683.939
|
|1.755
|
|1200.107
|
|14.3
|5818
|5818
|
|

Revision as of 04:46, 30 March 2024

Explanation of what a 'zeta stretched edo' is: The Riemann Zeta Function and Tuning#Optimal Octave Stretch.

Instructions on how to calculate the second column using the free version of Wolfram Cloud:

  1. Copy-paste Plot[Abs[RiemannSiegelZ[9.06472028x]], {x, 11.9,12.1}] into a cell.
  2. Change "11.9" and "12.1" to whatever values you want, e.g. to view the curve around 15edo you might use the values "14.9" and "15.1".
  3. Ensure that cell is still selected
  4. In the menu select Evaluation > Evaluate Cells
Edo No. of steps per 1200 cents Step size (cents) Octave size (cents) Zeta peak height Zeta peak index Gram point index
1edo 1.127 1064.774 1064.774 1.6 1 -1
2edo 1.972 608.519 1217.039 2.3 2 0
3edo 3.06 392.157 1176.471 2.8 4 2
4edo 3.904 307.377 1229.508 3.0 6 4
5edo 5.034 238.379 1191.895 3.7 9 7
6edo 6.035 198.840 1193.041 2.9 12 10
7edo 6.957 172.488 1207.417 4.2 15 13
8edo 8.137 147.474 1179.796 3.6 19 17
9edo 8.95 134.078 1206.704 4.0 22 20
10edo 10.008 119.904 1199.041 4.5 26 24
11edo 11.037 108.725 1195.977 2.7 30 28
12edo 12.023 99.809 1197.704 5.2 34 32
13edo 12.969 92.528 1202.868 3.1 38 36
14edo 13.9 86.331 1208.633 4.6 42 40
15edo 15.053 79.718 1195.775 5.1 47 45
16edo 15.945 75.259 1204.139 4.2 51 49
17edo 17.045 70.402 1196.832 5.1 56 54
18edo 18.119 66.229 1192.119 3.5 61 59
19edo 18.948 63.331 1203.293 6.0 65 63
20edo 19.982 60.054 1201.081 3.4
21edo 21.028 57.067 1198.402 4.1
22edo 22.025 54.484 1198.638 6.1
23edo (1st peak) 22.807 52.615 1210.148 3.7
23edo (2nd peak) 23.026 52.115 1198.645 2.2
24edo 24.006 49.988 1199.700 5.7
25edo 24.965 48.067 1201.682 3.9
26edo 25.936 46.268 1202.961 5.6
27edo 27.087 44.302 1196.146 6.1
28edo 28.032 42.808 1198.630 3.7
29edo 28.94 41.465 1202.488 5.6
30edo 30.062 39.918 1197.525 3.3
31edo 30.978 38.737 1200.852 7.0 127 125
32edo 32.07 37.418 1197.381 4.5
33edo 32.972 36.395 1201.019 3.3
34edo 34.045 35.247 1198.414 6.7
35edo 34.926 34.358 1202.543 4.2
36edo 35.982 33.350 1200.600 6.0
37edo 37.027 32.409 1199.125 5.3
38edo (1st peak) 37.89 31.671 1203.484 5.8
38edo (2nd peak) 38.103 31.494 1196.756 2.5
39edo (1st peak) 38.916 30.836 1202.590 2.6
39edo (2nd peak) 39.124 30.672 1196.197 5.6
40edo 39.968 30.024 1200.961 4.0
41edo 40.988 29.277 1200.351 7.6 184 182
42edo 41.999 28.572 1200.029 2.7
43edo 43.027 27.889 1199.247 6.2
44edo 44.015 27.263 1199.591 4.6
45edo (1st peak) 44.84 26.762 1204.282 5.3
45edo (2nd peak) 45.035 26.646 1199.067 2.1
46edo 46.009 26.082 1199.765 7.5
47edo 47.006 25.529 1199.847 4.3
48edo 47.988 25.006 1200.300 5.8
49edo (1st peak) 48.945 24.517 1201.348 2.2
49edo (2nd peak) 49.141 24.420 1196.557 5.7
50edo 49.939 24.029 1201.466 6.7
51edo 51.079 23.493 1198.144 4.8
52edo 52.043 23.058 1199.009 4.1
53edo 52.997 22.643 1200.068 8.2 257 255
54edo (1st peak) 53.949 22.243 1201.134 2.0
54edo (2nd peak) 54.116 22.175 1197.428 3.5
55edo 54.894 21.860 1202.317 5.3
56edo 56.008 21.426 1199.829 6.1
57edo 56.968 21.064 1200.674 4.9
58edo 58.067 20.666 1198.615 7.8
59edo 58.992 20.342 1200.163 4.0
60edo 59.92 20.027 1201.602 7.1
61edo 61.003 19.671 1199.941 3.7
62edo 61.938 19.374 1201.201 6.3
63edo 63.019 19.042 1199.638 6.8
64edo 64.099 18.721 1198.147 3.6
65edo 65.016 18.457 1199.705 7.8
66edo 65.916 18.205 1201.529 4.5
67edo 66.998 17.911 1200.036 5.3
68edo 68.049 17.634 1199.136 7.7
69edo 68.96 17.401 1200.696 4.1
70edo 70.004 17.142 1199.931 5.7
71edo 71.059 16.887 1199.004 3.8
72edo 71.951 16.678 1200.817 9.2 380 378
73edo 72.984 16.442 1200.263 3.4
74edo 74.052 16.205 1199.157 5.1
75edo 75.091 15.981 1198.546 6.0
76edo 75.968 15.796 1200.505 2.6
77edo 76.992 15.586 1200.125 8.2
78edo 78.021 15.380 1199.677 5.4
79edo 78.892 15.211 1201.643 5.8
80edo 80.073 14.986 1198.906 7.9
81edo 80.947 14.825 1200.786 5.2
82edo 81.954 14.642 1200.674 6.7
83edo 82.967 14.464 1200.477 3.9
84edo 83.997 14.286 1200.043 8.0
85edo 84.991 14.119 1200.127 3.0
86edo 86.019 13.950 1199.735 2.4
87edo 87.014 13.791 1199.807 8.9
88edo 88.027 13.632 1199.632 2.6
89edo 89.023 13.480 1199.690 7.6
90edo 90.006 13.332 1199.920 4.8
91edo (1st peak) 90.852 13.208 1201.955 6.7
91edo (2nd peak) 91.033 13.182 1199.565 3.4
92edo 91.993 13.044 1200.091 4.5
93edo 93.002 12.903 1199.974 5.6
94edo 93.984 12.768 1200.204 8.8
95edo (1st peak) 94.962 12.637 1200.480 0.9
95edo (2nd peak) 95.117 12.616 1198.524 5.3
96edo 95.954 12.506 1200.575 7.3
97edo 96.925 12.381 1200.929 4.2
98edo 97.923 12.255 1200.944 4.3
99edo 99.047 12.115 1199.431 9.4
100edo 100.024 11.997 1199.712 4.3
270edo 270.018 4.444 1199.920 13.4 1936 1934
311edo 311.004 3.858 1199.985 13.1 2293 2291
342edo 341.975 3.509 1200.088 13.5 2568 2566
494edo 494.014 2.429 1199.966 14.7 3971 3969
684edo 683.939 1.755 1200.107 14.3 5818

See also