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Zeta peak index: Difference between revisions

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ZPIs are a kind of [[equal-step tuning]].
ZPIs are a kind of [[equal-step tuning]].
{|class="wikitable sortable"
!colspan="3"|Tuning
!colspan="3"|Strength
!colspan="2"|Closest EDO
!colspan="2"|Odd-limit
!colspan="2"|Integer limit
|-
!ZPI
!Steps per octave
!Cents
!Height
!Integral
!Gap
!EDO
!Octave
!Consistent
!Distinct
!Consistent
!Distinct
|-
|[[2zpi]]
|1.972767114412
|608.282646
|2.340551
|1.103823
|10.222388
|[[2edo]]
|1216.565292
|3
|1
|4
|3
|-
|[[3zpi]]
|2.548854231382
|470.799776
|1.459266
|0.414716
|7.471444
|[[3edo]]
|1412.399327
|1
|1
|3
|3
|-
|[[4zpi]]
|3.059761627805
|392.187414
|2.847473
|1.044063
|11.592757
|[[3edo]]
|1176.562242
|5
|3
|6
|4
|-
|[[5zpi]]
|3.496845919785
|343.166393
|0.925523
|0.167718
|5.858780
|[[3edo]]
|1029.499178
|1
|1
|2
|2
|-
|[[6zpi]]
|3.904448124107
|307.341771
|2.942394
|0.927921
|11.574256
|[[4edo]]
|1229.367083
|7
|1
|8
|3
|-
|[[7zpi]]
|4.322093246475
|277.643246
|1.812834
|0.423656
|8.808621
|[[4edo]]
|1110.572985
|1
|1
|3
|3
|-
|[[8zpi]]
|4.652876066087
|257.905000
|1.129621
|0.195040
|6.611021
|[[5edo]]
|1289.524998
|1
|1
|2
|2
|-
|[[9zpi]]
|5.034475598603
|238.356503
|3.664837
|1.131648
|13.386581
|[[5edo]]
|1191.782517
|9
|3
|10
|4
|-
|[[10zpi]]
|5.391231348573
|222.583659
|0.713345
|0.091351
|5.235220
|[[5edo]]
|1112.918295
|1
|1
|2
|2
|-
|[[11zpi]]
|5.683417253069
|211.140577
|2.061177
|0.454332
|9.689889
|[[6edo]]
|1266.843464
|1
|1
|3
|3
|-
|[[12zpi]]
|6.034923687967
|198.842614
|2.913512
|0.699239
|10.852507
|[[6edo]]
|1193.055683
|1
|1
|3
|3
|-
|[[13zpi]]
|6.373110628934
|188.291098
|1.816095
|0.364080
|9.293895
|[[6edo]]
|1129.746590
|1
|1
|3
|3
|-
|[[14zpi]]
|6.632178173869
|180.936032
|0.603289
|0.064947
|4.836586
|[[7edo]]
|1266.552222
|3
|3
|4
|4
|-
|[[15zpi]]
|6.956687656588
|172.495886
|4.166936
|1.162332
|14.234171
|[[7edo]]
|1207.471201
|5
|3
|6
|5
|-
|[[16zpi]]
|7.285924823948
|164.701123
|1.134191
|0.159745
|6.678867
|[[7edo]]
|1152.907860
|1
|1
|2
|2
|-
|[[17zpi]]
|7.541342085555
|159.122870
|1.551068
|0.268585
|8.491473
|[[8edo]]
|1272.982964
|1
|1
|3
|3
|-
|[[18zpi]]
|7.819480070537
|153.462889
|2.004530
|0.355575
|8.808327
|[[8edo]]
|1227.703110
|1
|1
|2
|2
|-
|[[19zpi]]
|8.137425327401
|147.466791
|3.641859
|0.881068
|12.934091
|[[8edo]]
|1179.734328
|3
|3
|7
|4
|-
|[[20zpi]]
|8.427502201950
|142.390945
|0.632316
|0.065792
|5.190978
|[[8edo]]
|1139.127558
|3
|3
|4
|4
|-
|[[21zpi]]
|8.644750943874
|138.812559
|1.368228
|0.209799
|7.977229
|[[9edo]]
|1249.313031
|3
|3
|4
|4
|-
|[[22zpi]]
|8.949991971429
|134.078333
|3.998567
|0.954565
|13.186387
|[[9edo]]
|1206.704993
|7
|5
|8
|6
|-
|[[23zpi]]
|9.242995389543
|129.828043
|1.238064
|0.161912
|6.821862
|[[9edo]]
|1168.452384
|1
|1
|2
|2
|-
|[[24zpi]]
|9.492267674926
|126.418685
|1.952783
|0.359829
|10.156929
|[[9edo]]
|1137.768168
|1
|1
|3
|3
|-
|[[25zpi]]
|9.724186586529
|123.403638
|0.740985
|0.074196
|5.272217
|[[10edo]]
|1234.036379
|1
|1
|2
|2
|-
|[[26zpi]]
|10.008456337259
|119.898610
|4.477141
|1.082282
|14.181485
|[[10edo]]
|1198.986097
|7
|3
|8
|5
|-
|[[27zpi]]
|10.307582490254
|116.419151
|1.505698
|0.225586
|8.414283
|[[10edo]]
|1164.191508
|3
|3
|4
|4
|-
|[[28zpi]]
|10.511042552717
|114.165650
|0.519217
|0.045875
|4.782443
|[[11edo]]
|1255.822145
|1
|1
|3
|3
|-
|[[29zpi]]
|10.757239444987
|111.552783
|2.933506
|0.582845
|11.704948
|[[11edo]]
|1227.080616
|1
|1
|3
|3
|-
|[[30zpi]]
|11.037364857955
|108.721603
|2.698327
|0.469089
|9.930302
|[[11edo]]
|1195.937633
|3
|3
|4
|4
|-
|[[31zpi]]
|11.301192518802
|106.183484
|2.126243
|0.355179
|9.698860
|[[11edo]]
|1168.018329
|1
|1
|3
|3
|-
|[[32zpi]]
|11.535009008294
|104.031128
|1.023117
|0.125398
|6.982530
|[[12edo]]
|1248.373537
|1
|1
|2
|2
|-
|[[33zpi]]
|11.736684783825
|102.243523
|1.198408
|0.146516
|7.026753
|[[12edo]]
|1226.922275
|3
|3
|4
|4
|-
|[[34zpi]]
|12.023183007293
|99.807181
|5.193290
|1.269599
|15.899282
|[[12edo]]
|1197.686169
|9
|5
|10
|6
|}


[[Category:Edonoi]][[Category:Zeta]]
[[Category:Edonoi]][[Category:Zeta]]
Retrieved from "https://en.xen.wiki/w/Zeta_peak_index"