Table of zeta-stretched edos: Difference between revisions

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Line 12: Line 12:
=== Table ===
=== Table ===
{| class="wikitable sortable"
{| class="wikitable sortable"
!Edo
!Tuning
!Zeta peak index
!Associated edo
!No. of steps per 1200 cents
!No. of steps per 1200 cents
!Step size (cents)
!Step size (cents)
Line 20: Line 20:
!Gram point index
!Gram point index
|-
|-
|[[1zpi]]
|1edo
|1edo
|[[1zpi]]
|1.127
|1.127
|1064.774
|1064.774
Line 28: Line 28:
|  -1
|  -1
|-
|-
|[[2zpi]]
|2edo
|2edo
|[[2zpi]]
|1.972
|1.972
|608.519
|608.519
Line 36: Line 36:
|0
|0
|-
|-
|[[4zpi]]
|3edo
|3edo
|[[4zpi]]
|3.06
|3.06
|392.157
|392.157
Line 44: Line 44:
|2
|2
|-
|-
|[[6zpi]]
|4edo
|4edo
|[[6zpi]]
|3.904
|3.904
|307.377
|307.377
Line 52: Line 52:
|4
|4
|-
|-
|[[9zpi]]
|5edo
|5edo
|[[9zpi]]
|5.034
|5.034
|238.379
|238.379
Line 60: Line 60:
|7
|7
|-
|-
|[[12zpi]]
|6edo
|6edo
|[[12zpi]]
|6.035
|6.035
|198.840
|198.840
Line 68: Line 68:
|10
|10
|-
|-
|[[15zpi]]
|7edo
|7edo
|[[15zpi]]
|6.957
|6.957
|172.488
|172.488
Line 76: Line 76:
|13
|13
|-
|-
|[[19zpi]]
|8edo
|8edo
|[[19zpi]]
|8.137
|8.137
|147.474
|147.474
Line 84: Line 84:
|17
|17
|-
|-
|[[22zpi]]
|9edo
|9edo
|[[22zpi]]
|8.95
|8.95
|134.078
|134.078
Line 92: Line 92:
|20
|20
|-
|-
|[[26zpi]]
|10edo
|10edo
|[[26zpi]]
|10.008
|10.008
|119.904
|119.904
Line 100: Line 100:
|24
|24
|-
|-
|[[30zpi]]
|11edo
|11edo
|[[30zpi]]
|11.037
|11.037
|108.725
|108.725
Line 108: Line 108:
|28
|28
|-
|-
|[[34zpi]]
|12edo
|12edo
|[[34zpi]]
|12.023
|12.023
|99.809
|99.809
Line 116: Line 116:
|32
|32
|-
|-
|[[38zpi]]
|13edo
|13edo
|[[38zpi]]
|12.969
|12.969
|92.528
|92.528
Line 124: Line 124:
|36
|36
|-
|-
|[[42zpi]]
|14edo
|14edo
|[[42zpi]]
|13.9
|13.9
|86.331
|86.331
Line 132: Line 132:
|40
|40
|-
|-
|[[47zpi]]
|15edo
|15edo
|[[47zpi]]
|15.053
|15.053
|79.718
|79.718
Line 140: Line 140:
|45
|45
|-
|-
|[[51zpi]]
|16edo
|16edo
|[[51zpi]]
|15.945
|15.945
|75.259
|75.259
Line 148: Line 148:
|49
|49
|-
|-
|[[56zpi]]
|17edo
|17edo
|[[56zpi]]
|17.045
|17.045
|70.402
|70.402
Line 156: Line 156:
|54
|54
|-
|-
|[[61zpi]]
|18edo
|18edo
|[[61zpi]]
|18.119
|18.119
|66.229
|66.229
Line 164: Line 164:
|59
|59
|-
|-
|[[65zpi]]
|19edo
|19edo
|[[65zpi]]
|18.948
|18.948
|63.331
|63.331
Line 172: Line 172:
|63
|63
|-
|-
|[[70zpi]]
|20edo
|20edo
|[[70zpi]]
|19.982
|19.982
|60.054
|60.054
Line 180: Line 180:
|68
|68
|-
|-
|[[75zpi]]
|21edo
|21edo
|[[75zpi]]
|21.028
|21.028
|57.067
|57.067
Line 188: Line 188:
|73
|73
|-
|-
|[[80zpi]]
|22edo
|22edo
|[[80zpi]]
|22.025
|22.025
|54.484
|54.484
Line 196: Line 196:
|78
|78
|-
|-
|[[84zpi]]
|23edo (1st peak)
|23edo (1st peak)
|[[84zpi]]
|22.807
|22.807
|52.615
|52.615
Line 204: Line 204:
|82
|82
|-
|-
|[[85zpi]]
|23edo (2nd peak)
|23edo (2nd peak)
|[[85zpi]]
|23.026
|23.026
|52.115
|52.115
Line 212: Line 212:
|83
|83
|-
|-
|[[90zpi]]
|24edo
|24edo
|[[90zpi]]
|24.006
|24.006
|49.988
|49.988
Line 220: Line 220:
|88
|88
|-
|-
|[[95zpi]]
|25edo
|25edo
|[[95zpi]]
|24.965
|24.965
|48.067
|48.067
Line 228: Line 228:
|93
|93
|-
|-
|[[100zpi]]
|26edo
|26edo
|[[100zpi]]
|25.936
|25.936
|46.268
|46.268
Line 236: Line 236:
|98
|98
|-
|-
|[[106zpi]]
|27edo
|27edo
|[[106zpi]]
|27.087
|27.087
|44.302
|44.302
Line 244: Line 244:
|104
|104
|-
|-
|[[111zpi]]
|28edo
|28edo
|[[111zpi]]
|28.032
|28.032
|42.808
|42.808
Line 252: Line 252:
|109
|109
|-
|-
|[[116zpi]]
|29edo
|29edo
|[[116zpi]]
|28.94
|28.94
|41.465
|41.465
Line 260: Line 260:
|114
|114
|-
|-
|[[122zpi]]
|30edo
|30edo
|[[122zpi]]
|30.062
|30.062
|39.918
|39.918
Line 268: Line 268:
|120
|120
|-
|-
|[[127zpi]]
|31edo
|31edo
|[[127zpi]]
|30.978
|30.978
|38.737
|38.737
Line 276: Line 276:
|125
|125
|-
|-
|[[133zpi]]
|32edo
|32edo
|[[133zpi]]
|32.07
|32.07
|37.418
|37.418
Line 284: Line 284:
|131
|131
|-
|-
|[[138zpi]]
|33edo
|33edo
|[[138zpi]]
|32.972
|32.972
|36.395
|36.395
Line 292: Line 292:
|136
|136
|-
|-
|[[144zpi]]
|34edo
|34edo
|[[144zpi]]
|34.045
|34.045
|35.247
|35.247
Line 300: Line 300:
|142
|142
|-
|-
|[[149zpi]]
|35edo
|35edo
|[[149zpi]]
|34.926
|34.926
|34.358
|34.358
Line 308: Line 308:
|147
|147
|-
|-
|[[155zpi]]
|36edo
|36edo
|[[155zpi]]
|35.982
|35.982
|33.350
|33.350
Line 316: Line 316:
|153
|153
|-
|-
|[[161zpi]]
|37edo
|37edo
|[[161zpi]]
|37.027
|37.027
|32.409
|32.409
Line 324: Line 324:
|159
|159
|-
|-
|[[166zpi]]
|38edo (1st peak)
|38edo (1st peak)
|[[166zpi]]
|37.89
|37.89
|31.671
|31.671
Line 332: Line 332:
|164
|164
|-
|-
|[[167zpi]]
|38edo (2nd peak)
|38edo (2nd peak)
|[[167zpi]]
|38.103
|38.103
|31.494
|31.494
Line 340: Line 340:
|165
|165
|-
|-
|[[172zpi]]
|39edo (1st peak)
|39edo (1st peak)
|[[172zpi]]
|38.916
|38.916
|30.836
|30.836
Line 348: Line 348:
|170
|170
|-
|-
|[[173zpi]]
|39edo (2nd peak)
|39edo (2nd peak)
|[[173zpi]]
|39.124
|39.124
|30.672
|30.672
Line 356: Line 356:
|171
|171
|-
|-
|[[178zpi]]
|40edo
|40edo
|[[178zpi]]
|39.968
|39.968
|30.024
|30.024
Line 364: Line 364:
|176
|176
|-
|-
|[[184zpi]]
|41edo
|41edo
|[[184zpi]]
|40.988
|40.988
|29.277
|29.277
Line 372: Line 372:
|182
|182
|-
|-
|[[190zpi]]
|42edo
|42edo
|[[190zpi]]
|41.999
|41.999
|28.572
|28.572
Line 380: Line 380:
|188
|188
|-
|-
|[[196zpi]]
|43edo
|43edo
|[[196zpi]]
|43.027
|43.027
|27.889
|27.889
Line 388: Line 388:
|194
|194
|-
|-
|[[202zpi]]
|44edo
|44edo
|[[202zpi]]
|44.015
|44.015
|27.263
|27.263
Line 396: Line 396:
|200
|200
|-
|-
|[[207zpi]]
|45edo (1st peak)
|45edo (1st peak)
|[[207zpi]]
|44.84
|44.84
|26.762
|26.762
Line 404: Line 404:
|205
|205
|-
|-
|[[208zpi]]
|45edo (2nd peak)
|45edo (2nd peak)
|[[208zpi]]
|45.035
|45.035
|26.646
|26.646
Line 412: Line 412:
|206
|206
|-
|-
|[[214zpi]]
|46edo
|46edo
|[[214zpi]]
|46.009
|46.009
|26.082
|26.082
Line 420: Line 420:
|212
|212
|-
|-
|[[220zpi]]
|47edo
|47edo
|[[220zpi]]
|47.006
|47.006
|25.529
|25.529
Line 428: Line 428:
|218
|218
|-
|-
|[[226zpi]]
|48edo
|48edo
|[[226zpi]]
|47.988
|47.988
|25.006
|25.006
Line 436: Line 436:
|224
|224
|-
|-
|[[232zpi]]
|49edo (1st peak)
|49edo (1st peak)
|[[232zpi]]
|48.945
|48.945
|24.517
|24.517
Line 444: Line 444:
|230
|230
|-
|-
|[[233zpi]]
|49edo (2nd peak)
|49edo (2nd peak)
|[[233zpi]]
|49.141
|49.141
|24.420
|24.420
Line 452: Line 452:
|231
|231
|-
|-
|[[238zpi]]
|50edo
|50edo
|[[238zpi]]
|49.939
|49.939
|24.029
|24.029
Line 460: Line 460:
|236
|236
|-
|-
|[[245zpi]]
|51edo
|51edo
|[[245zpi]]
|51.079
|51.079
|23.493
|23.493
Line 468: Line 468:
|243
|243
|-
|-
|[[251zpi]]
|52edo
|52edo
|[[251zpi]]
|52.043
|52.043
|23.058
|23.058
Line 476: Line 476:
|249
|249
|-
|-
|[[257zpi]]
|53edo
|53edo
|[[257zpi]]
|52.997
|52.997
|22.643
|22.643
Line 484: Line 484:
|255
|255
|-
|-
|[[263zpi]]
|54edo (1st peak)
|54edo (1st peak)
|[[263zpi]]
|53.949
|53.949
|22.243
|22.243
Line 492: Line 492:
|261
|261
|-
|-
|[[264zpi]]
|54edo (2nd peak)
|54edo (2nd peak)
|[[264zpi]]
|54.116
|54.116
|22.175
|22.175
Line 500: Line 500:
|262
|262
|-
|-
|[[269zpi]]
|55edo
|55edo
|[[269zpi]]
|54.894
|54.894
|21.860
|21.860
Line 508: Line 508:
|267
|267
|-
|-
|[[276zpi]]
|56edo
|56edo
|[[276zpi]]
|56.008
|56.008
|21.426
|21.426
Line 516: Line 516:
|274
|274
|-
|-
|[[282zpi]]
|57edo
|57edo
|[[282zpi]]
|56.968
|56.968
|21.064
|21.064
Line 524: Line 524:
|280
|280
|-
|-
|[[289zpi]]
|58edo
|58edo
|[[289zpi]]
|58.067
|58.067
|20.666
|20.666
Line 532: Line 532:
|287
|287
|-
|-
|[[295zpi]]
|59edo
|59edo
|[[295zpi]]
|58.992
|58.992
|20.342
|20.342
Line 540: Line 540:
|293
|293
|-
|-
|[[301zpi]]
|60edo
|60edo
|[[301zpi]]
|59.92
|59.92
|20.027
|20.027
Line 548: Line 548:
|299
|299
|-
|-
|[[308zpi]]
|61edo
|61edo
|[[308zpi]]
|61.003
|61.003
|19.671
|19.671
Line 556: Line 556:
|306
|306
|-
|-
|[[314zpi]]
|62edo
|62edo
|[[314zpi]]
|61.938
|61.938
|19.374
|19.374
Line 564: Line 564:
|312
|312
|-
|-
|[[321zpi]]
|63edo
|63edo
|[[321zpi]]
|63.019
|63.019
|19.042
|19.042
Line 572: Line 572:
|319
|319
|-
|-
|[[328zpi]]
|64edo
|64edo
|[[328zpi]]
|64.099
|64.099
|18.721
|18.721
Line 580: Line 580:
|326
|326
|-
|-
|[[334zpi]]
|65edo
|65edo
|[[334zpi]]
|65.016
|65.016
|18.457
|18.457
Line 588: Line 588:
|332
|332
|-
|-
|[[340zpi]]
|66edo
|66edo
|[[340zpi]]
|65.916
|65.916
|18.205
|18.205
Line 596: Line 596:
|338
|338
|-
|-
|[[347zpi]]
|67edo
|67edo
|[[347zpi]]
|66.998
|66.998
|17.911
|17.911
Line 604: Line 604:
|345
|345
|-
|-
|[[354zpi]]
|68edo
|68edo
|[[354zpi]]
|68.049
|68.049
|17.634
|17.634
Line 612: Line 612:
|352
|352
|-
|-
|[[360zpi]]
|69edo
|69edo
|[[360zpi]]
|68.96
|68.96
|17.401
|17.401
Line 620: Line 620:
|358
|358
|-
|-
|[[367zpi]]
|70edo
|70edo
|[[367zpi]]
|70.004
|70.004
|17.142
|17.142
Line 628: Line 628:
|365
|365
|-
|-
|[[374zpi]]
|71edo
|71edo
|[[374zpi]]
|71.059
|71.059
|16.887
|16.887
Line 636: Line 636:
|372
|372
|-
|-
|[[380zpi]]
|72edo
|72edo
|[[380zpi]]
|71.951
|71.951
|16.678
|16.678
Line 644: Line 644:
|378
|378
|-
|-
|[[387zpi]]
|73edo
|73edo
|[[387zpi]]
|72.984
|72.984
|16.442
|16.442
Line 652: Line 652:
|385
|385
|-
|-
|[[394zpi]]
|74edo
|74edo
|[[394zpi]]
|74.052
|74.052
|16.205
|16.205
Line 660: Line 660:
|392
|392
|-
|-
|[[401zpi]]
|75edo
|75edo
|[[401zpi]]
|75.091
|75.091
|15.981
|15.981
Line 668: Line 668:
|399
|399
|-
|-
|[[407zpi]]
|76edo
|76edo
|[[407zpi]]
|75.968
|75.968
|15.796
|15.796
Line 676: Line 676:
|405
|405
|-
|-
|[[414zpi]]
|77edo
|77edo
|[[414zpi]]
|76.992
|76.992
|15.586
|15.586
Line 684: Line 684:
|412
|412
|-
|-
|[[420zpi]]
|78edo
|78edo
|[[420zpi]]
|78.021
|78.021
|15.380
|15.380
Line 692: Line 692:
|418
|418
|-
|-
|[[427zpi]]
|79edo
|79edo
|[[427zpi]]
|78.892
|78.892
|15.211
|15.211
Line 700: Line 700:
|425
|425
|-
|-
|[[435zpi]]
|80edo
|80edo
|[[435zpi]]
|80.073
|80.073
|14.986
|14.986
Line 708: Line 708:
|433
|433
|-
|-
|[[441zpi]]
|81edo
|81edo
|[[441zpi]]
|80.947
|80.947
|14.825
|14.825
Line 716: Line 716:
|439
|439
|-
|-
|[[448zpi]]
|82edo
|82edo
|[[448zpi]]
|81.954
|81.954
|14.642
|14.642
Line 724: Line 724:
|446
|446
|-
|-
|[[455zpi]]
|83edo
|83edo
|[[455zpi]]
|82.967
|82.967
|14.464
|14.464
Line 732: Line 732:
|453
|453
|-
|-
|[[462zpi]]
|84edo
|84edo
|[[462zpi]]
|83.997
|83.997
|14.286
|14.286
Line 740: Line 740:
|460
|460
|-
|-
|[[469zpi]]
|85edo
|85edo
|[[469zpi]]
|84.991
|84.991
|14.119
|14.119
Line 748: Line 748:
|467
|467
|-
|-
|[[476zpi]]
|86edo
|86edo
|[[476zpi]]
|86.019
|86.019
|13.950
|13.950
Line 756: Line 756:
|474
|474
|-
|-
|[[483zpi]]
|87edo
|87edo
|[[483zpi]]
|87.014
|87.014
|13.791
|13.791
Line 764: Line 764:
|481
|481
|-
|-
|[[490zpi]]
|88edo
|88edo
|[[490zpi]]
|88.027
|88.027
|13.632
|13.632
Line 772: Line 772:
|488
|488
|-
|-
|[[497zpi]]
|89edo
|89edo
|[[497zpi]]
|89.023
|89.023
|13.480
|13.480
Line 780: Line 780:
|495
|495
|-
|-
|[[504zpi]]
|90edo
|90edo
|[[504zpi]]
|90.006
|90.006
|13.332
|13.332
Line 788: Line 788:
|502
|502
|-
|-
|[[510zpi]]
|91edo (1st peak)
|91edo (1st peak)
|[[510zpi]]
|90.852
|90.852
|13.208
|13.208
Line 796: Line 796:
|508
|508
|-
|-
|[[511zpi]]
|91edo (2nd peak)
|91edo (2nd peak)
|[[511zpi]]
|91.033
|91.033
|13.182
|13.182
Line 804: Line 804:
|509
|509
|-
|-
|[[518zpi]]
|92edo
|92edo
|[[518zpi]]
|91.993
|91.993
|13.044
|13.044
Line 812: Line 812:
|516
|516
|-
|-
|[[525zpi]]
|93edo
|93edo
|[[525zpi]]
|93.002
|93.002
|12.903
|12.903
Line 820: Line 820:
|523
|523
|-
|-
|[[532zpi]]
|94edo
|94edo
|[[532zpi]]
|93.984
|93.984
|12.768
|12.768
Line 828: Line 828:
|530
|530
|-
|-
|[[539zpi]]
|95edo (1st peak)
|95edo (1st peak)
|[[539zpi]]
|94.962
|94.962
|12.637
|12.637
Line 836: Line 836:
|537
|537
|-
|-
|[[540zpi]]
|95edo (2nd peak)
|95edo (2nd peak)
|[[540zpi]]
|95.117
|95.117
|12.616
|12.616
Line 844: Line 844:
|538
|538
|-
|-
|[[546zpi]]
|96edo
|96edo
|[[546zpi]]
|95.954
|95.954
|12.506
|12.506
Line 852: Line 852:
|544
|544
|-
|-
|[[553zpi]]
|97edo
|97edo
|[[553zpi]]
|96.925
|96.925
|12.381
|12.381
Line 860: Line 860:
|551
|551
|-
|-
|[[560zpi]]
|98edo
|98edo
|[[560zpi]]
|97.923
|97.923
|12.255
|12.255
Line 868: Line 868:
|558
|558
|-
|-
|[[568zpi]]
|99edo
|99edo
|[[568zpi]]
|99.047
|99.047
|12.115
|12.115
Line 876: Line 876:
|566
|566
|-
|-
|[[575zpi]]
|100edo
|100edo
|[[575zpi]]
|100.024
|100.024
|11.997
|11.997
Line 884: Line 884:
|573
|573
|-
|-
|[[1936zpi]]
|270edo
|270edo
|[[1936zpi]]
|270.018
|270.018
|4.444
|4.444
Line 892: Line 892:
|1934
|1934
|-
|-
|[[2293zpi]]
|311edo
|311edo
|[[2293zpi]]
|311.004
|311.004
|3.858
|3.858
Line 900: Line 900:
|2291
|2291
|-
|-
|[[2568zpi]]
|342edo
|342edo
|[[2568zpi]]
|341.975
|341.975
|3.509
|3.509
Line 908: Line 908:
|2566
|2566
|-
|-
|[[3971zpi]]
|494edo
|494edo
|[[3971zpi]]
|494.014
|494.014
|2.429
|2.429
Line 916: Line 916:
|3969
|3969
|-
|-
|[[5818zpi]]
|684edo
|684edo
|[[5818zpi]]
|683.939
|683.939
|1.755
|1.755