Zeta peak index: Difference between revisions

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A '''zeta peak index''' ('''ZPI''' or '''zpi''') is a [[tuning]] obtained from one of the peaks of the [[The Riemann zeta function and tuning|Riemann zeta function]].
A '''zeta peak index''' ('''ZPI''' or '''zpi''') is an [[equal-step tuning]] obtained from one of the peaks of the [[The Riemann zeta function and tuning|Riemann zeta function]]. The peaks provided are for the common value of σ = 0.5.


For instance, the closest zeta peak of 12edo, which has a value of 12.023edo, is the 34th peak of the Riemann zeta function: this tuning is 34zpi.  
For instance, the closest zeta peak of 12edo, which has a value of 12.023edo, is the 34th peak of the Riemann zeta function: this tuning is 34zpi.  
Line 5: Line 5:
ZPIs are particularly useful when dealing with zeta peak tunings that are not closely associated with an integer [[EDO]]. For example, 22.597edo is 83zpi, 22.807edo is 84zpi, 23.026edo is 85zpi, 23.232edo is 86zpi, and 23.437edo is 87zpi.
ZPIs are particularly useful when dealing with zeta peak tunings that are not closely associated with an integer [[EDO]]. For example, 22.597edo is 83zpi, 22.807edo is 84zpi, 23.026edo is 85zpi, 23.232edo is 86zpi, and 23.437edo is 87zpi.


ZPIs are a kind of [[equal-step tuning]].
== What are zeta peaks? ==
The Riemann zeta function is a mathematical function known for its relationship with the Riemann hypothesis, a 200-year old unsolved problem in mathematics. However, it also has a musical interpretation: the zeta function shows how "well" a given [[equal temperament]] approximates the no-limit [[just intonation]] relative to its size.


{|class="wikitable sortable"
Zeta is not an objective metric: There are plenty of other metrics besides zeta for how "well" JI is approximated by an equal tuning, which you can find in: [[:Category:Regular temperament tuning|optimised regular temperament tunings]].
!colspan="3"|Tuning
!colspan="3"|Strength
!colspan="2"|Closest EDO
!colspan="2"|Integer limit
|-
!ZPI
!Steps per octave
!Cents
!Height
!Integral
!Gap
!EDO
!Octave
!Consistent
!Distinct
|-
|[[1zpi]]
|1.126573631141
|1065.176715
|1.552472
|
|
|[[1edo]]
|1065.176715
|4
|2
|-
|[[2zpi]]
|1.972767114412
|608.282646
|2.340551
|1.103823
|10.222388
|[[2edo]]
|1216.565292
|4
|3
|-
|[[3zpi]]
|2.548854231382
|470.799776
|1.459266
|0.414716
|7.471444
|[[3edo]]
|1412.399327
|3
|3
|-
|[[4zpi]]
|3.059761627805
|392.187414
|2.847473
|1.044063
|11.592757
|[[3edo]]
|1176.562242
|6
|4
|-
|[[5zpi]]
|3.496845919785
|343.166393
|0.925523
|0.167718
|5.858780
|[[3edo]]
|1029.499178
|2
|2
|-
|[[6zpi]]
|3.904448124107
|307.341771
|2.942394
|0.927921
|11.574256
|[[4edo]]
|1229.367083
|8
|3
|-
|[[7zpi]]
|4.322093246475
|277.643246
|1.812834
|0.423656
|8.808621
|[[4edo]]
|1110.572985
|3
|3
|-
|[[8zpi]]
|4.652876066087
|257.905000
|1.129621
|0.195040
|6.611021
|[[5edo]]
|1289.524998
|2
|2
|-
|[[9zpi]]
|5.034475598603
|238.356503
|3.664837
|1.131648
|13.386581
|[[5edo]]
|1191.782517
|10
|4
|-
|[[10zpi]]
|5.391231348573
|222.583659
|0.713345
|0.091351
|5.235220
|[[5edo]]
|1112.918295
|2
|2
|-
|[[11zpi]]
|5.683417253069
|211.140577
|2.061177
|0.454332
|9.689889
|[[6edo]]
|1266.843464
|3
|3
|-
|[[12zpi]]
|6.034923687967
|198.842614
|2.913512
|0.699239
|10.852507
|[[6edo]]
|1193.055683
|3
|3
|-
|[[13zpi]]
|6.373110628934
|188.291098
|1.816095
|0.364080
|9.293895
|[[6edo]]
|1129.746590
|3
|3
|-
|[[14zpi]]
|6.632178173869
|180.936032
|0.603289
|0.064947
|4.836586
|[[7edo]]
|1266.552222
|3
|3
|-
|[[15zpi]]
|6.956687656588
|172.495886
|4.166936
|1.162332
|14.234171
|[[7edo]]
|1207.471201
|6
|5
|-
|[[16zpi]]
|7.285924823948
|164.701123
|1.134191
|0.159745
|6.678867
|[[7edo]]
|1152.907860
|2
|2
|-
|[[17zpi]]
|7.541342085555
|159.122870
|1.551068
|0.268585
|8.491473
|[[8edo]]
|1272.982964
|3
|3
|-
|[[18zpi]]
|7.819480070537
|153.462889
|2.004530
|0.355575
|8.808327
|[[8edo]]
|1227.703110
|2
|2
|-
|[[19zpi]]
|8.137425327401
|147.466791
|3.641859
|0.881068
|12.934091
|[[8edo]]
|1179.734328
|7
|4
|-
|[[20zpi]]
|8.427502201950
|142.390945
|0.632316
|0.065792
|5.190978
|[[8edo]]
|1139.127558
|3
|3
|-
|[[21zpi]]
|8.644750943874
|138.812559
|1.368228
|0.209799
|7.977229
|[[9edo]]
|1249.313031
|3
|3
|-
|[[22zpi]]
|8.949991971429
|134.078333
|3.998567
|0.954565
|13.186387
|[[9edo]]
|1206.704993
|8
|6
|-
|[[23zpi]]
|9.242995389543
|129.828043
|1.238064
|0.161912
|6.821862
|[[9edo]]
|1168.452384
|2
|2
|-
|[[24zpi]]
|9.492267674926
|126.418685
|1.952783
|0.359829
|10.156929
|[[9edo]]
|1137.768168
|3
|3
|-
|[[25zpi]]
|9.724186586529
|123.403638
|0.740985
|0.074196
|5.272217
|[[10edo]]
|1234.036379
|2
|2
|-
|[[26zpi]]
|10.008456337259
|119.898610
|4.477141
|1.082282
|14.181485
|[[10edo]]
|1198.986097
|8
|5
|-
|[[27zpi]]
|10.307582490254
|116.419151
|1.505698
|0.225586
|8.414283
|[[10edo]]
|1164.191508
|3
|3
|-
|[[28zpi]]
|10.511042552717
|114.165650
|0.519217
|0.045875
|4.782443
|[[11edo]]
|1255.822145
|3
|3
|-
|[[29zpi]]
|10.757239444987
|111.552783
|2.933506
|0.582845
|11.704948
|[[11edo]]
|1227.080616
|3
|3
|-
|[[30zpi]]
|11.037364857955
|108.721603
|2.698327
|0.469089
|9.930302
|[[11edo]]
|1195.937633
|4
|4
|-
|[[31zpi]]
|11.301192518802
|106.183484
|2.126243
|0.355179
|9.698860
|[[11edo]]
|1168.018329
|3
|3
|-
|[[32zpi]]
|11.535009008294
|104.031128
|1.023117
|0.125398
|6.982530
|[[12edo]]
|1248.373537
|2
|2
|-
|[[33zpi]]
|11.736684783825
|102.243523
|1.198408
|0.146516
|7.026753
|[[12edo]]
|1226.922275
|3
|3
|-
|[[34zpi]]
|12.023183007293
|99.807181
|5.193290
|1.269599
|15.899282
|[[12edo]]
|1197.686169
|10
|6
|-
|[[35zpi]]
|12.293416167325
|97.613225
|0.322351
|0.019881
|3.506235
|[[12edo]]
|1171.358702
|3
|3
|-
|[[36zpi]]
|12.488546967571
|96.088040
|1.800191
|0.297769
|10.197812
|[[12edo]]
|1153.056479
|2
|2
|-
|[[37zpi]]
|12.721097023727
|94.331487
|1.613611
|0.218207
|8.002211
|[[13edo]]
|1226.309333
|3
|3
|-
|[[38zpi]]
|12.968658316272
|92.530775
|3.102800
|0.549658
|10.833662
|[[13edo]]
|1202.900070
|4
|4
|-
|[[39zpi]]
|13.234677062324
|90.670894
|2.814119
|0.496123
|10.978612
|[[13edo]]
|1178.721621
|4
|4
|-
|[[40zpi]]
|13.469629922711
|89.089307
|0.889614
|0.099503
|6.750051
|[[13edo]]
|1158.160995
|3
|3
|-
|[[41zpi]]
|13.641665253406
|87.965800
|0.697945
|0.065563
|5.630413
|[[14edo]]
|1231.521203
|3
|3
|-
|[[42zpi]]
|13.900252532701
|86.329367
|4.592177
|0.984037
|14.097244
|[[14edo]]
|1208.611136
|7
|5
|-
|[[43zpi]]
|14.170206973036
|84.684719
|2.022093
|0.291105
|8.979405
|[[14edo]]
|1185.586070
|4
|4
|-
|[[44zpi]]
|14.377843303696
|83.461753
|1.004221
|0.108608
|6.601150
|[[14edo]]
|1168.464536
|2
|2
|-
|[[45zpi]]
|14.594434657725
|82.223123
|2.097730
|0.344839
|10.594800
|[[15edo]]
|1233.346849
|2
|2
|-
|[[46zpi]]
|14.799866390851
|81.081813
|0.869925
|0.079131
|5.558691
|[[15edo]]
|1216.227196
|2
|2
|-
|[[47zpi]]
|15.053489867678
|79.715734
|5.050324
|1.104057
|14.918297
|[[15edo]]
|1195.736016
|8
|7
|-
|[[48zpi]]
|15.316034587512
|78.349262
|1.168116
|0.133551
|7.236764
|[[15edo]]
|1175.238923
|3
|3
|-
|[[49zpi]]
|15.493725359866
|77.450708
|0.758449
|0.075350
|6.219061
|[[15edo]]
|1161.760621
|2
|2
|-
|[[50zpi]]
|15.690564036634
|76.479086
|1.799303
|0.248532
|8.945524
|[[16edo]]
|1223.665380
|3
|3
|-
|[[51zpi]]
|15.944373242688
|75.261660
|4.191572
|0.812082
|13.070433
|[[16edo]]
|1204.186562
|6
|6
|-
|[[52zpi]]
|16.182476761590
|74.154285
|1.200060
|0.122760
|6.462495
|[[16edo]]
|1186.468566
|2
|2
|-
|[[53zpi]]
|16.397950131148
|73.179879
|2.518818
|0.439377
|12.009751
|[[16edo]]
|1170.878058
|3
|3
|-
|[[54zpi]]
|16.601401090206
|72.283056
|0.366388
|0.023264
|3.994319
|[[17edo]]
|1228.811947
|2
|2
|-
|[[55zpi]]
|16.784122294358
|71.496143
|2.004066
|0.285639
|9.649416
|[[17edo]]
|1215.434423
|5
|5
|-
|[[56zpi]]
|17.044588660668
|70.403576
|5.056957
|1.032175
|14.269437
|[[17edo]]
|1196.860799
|4
|4
|-
|[[57zpi]]
|17.294495119035
|69.386241
|1.033460
|0.108417
|6.891590
|[[17edo]]
|1179.566091
|3
|3
|-
|[[58zpi]]
|17.457861181461
|68.736942
|0.681341
|0.061261
|5.829062
|[[17edo]]
|1168.528022
|2
|2
|-
|[[59zpi]]
|17.663789287431
|67.935593
|2.446462
|0.389101
|10.924439
|[[18edo]]
|1222.840674
|3
|3
|-
|[[60zpi]]
|17.886407821406
|67.090050
|2.152199
|0.280617
|8.636556
|[[18edo]]
|1207.620905
|3
|3
|-
|[[61zpi]]
|18.119094621097
|66.228475
|3.512788
|0.600419
|11.801322
|[[18edo]]
|1192.112545
|3
|3
|-
|[[62zpi]]
|18.346607965284
|65.407186
|1.429552
|0.166859
|7.786587
|[[18edo]]
|1177.329348
|3
|3
|-
|[[63zpi]]
|18.541301059466
|64.720377
|1.339275
|0.175713
|9.057613
|[[19edo]]
|1229.687168
|2
|2
|-
|[[64zpi]]
|18.701913436910
|64.164557
|0.374046
|0.022241
|3.885943
|[[19edo]]
|1219.126592
|3
|3
|-
|[[65zpi]]
|18.948086716698
|63.330932
|5.980169
|1.313799
|16.699651
|[[19edo]]
|1203.287717
|10
|7
|-
|[[66zpi]]
|19.198219067234
|62.505798
|1.092798
|0.104957
|6.434183
|[[19edo]]
|1187.610159
|4
|4
|-
|[[67zpi]]
|19.373510877266
|61.940244
|1.323734
|0.157309
|8.106586
|[[19edo]]
|1176.864645
|2
|2
|-
|[[68zpi]]
|19.572717608971
|61.309831
|1.766973
|0.238290
|9.330313
|[[20edo]]
|1226.196611
|3
|3
|-
|[[69zpi]]
|19.766954733309
|60.707378
|1.419909
|0.155680
|7.439130
|[[20edo]]
|1214.147567
|2
|2
|-
|[[70zpi]]
|19.981904666157
|60.054335
|3.392542
|0.534897
|11.106731
|[[20edo]]
|1201.086703
|4
|4
|-
|[[71zpi]]
|20.224839311954
|59.332981
|3.531097
|0.613581
|12.986080
|[[20edo]]
|1186.659613
|6
|6
|-
|[[72zpi]]
|20.433090010567
|58.728269
|0.257023
|0.013560
|3.535914
|[[20edo]]
|1174.565373
|3
|3
|-
|[[73zpi]]
|20.577456745345
|58.316245
|1.051613
|0.117999
|7.972796
|[[21edo]]
|1224.641136
|3
|3
|-
|[[74zpi]]
|20.787429246900
|57.727196
|2.915475
|0.437980
|10.729630
|[[21edo]]
|1212.271114
|4
|4
|-
|[[75zpi]]
|21.027938325939
|57.066935
|4.107322
|0.716469
|12.853639
|[[21edo]]
|1198.405645
|4
|4
|-
|[[76zpi]]
|21.240091317116
|56.496932
|0.730362
|0.055707
|5.199658
|[[21edo]]
|1186.435577
|2
|2
|-
|[[77zpi]]
|21.423452982355
|56.013379
|2.177870
|0.324040
|10.818410
|[[21edo]]
|1176.280967
|3
|3
|-
|[[78zpi]]
|21.625910405127
|55.488993
|1.264778
|0.143334
|7.997001
|[[22edo]]
|1220.757855
|2
|2
|-
|[[79zpi]]
|21.786924286881
|55.078908
|0.827778
|0.067771
|5.664322
|[[22edo]]
|1211.735978
|5
|5
|-
|[[80zpi]]
|22.025146742015
|54.483178
|6.062600
|1.258178
|16.213941
|[[22edo]]
|1198.629926
|12
|8
|-
|[[81zpi]]
|22.264762444080
|53.896825
|0.951934
|0.083763
|6.151404
|[[22edo]]
|1185.730145
|3
|3
|-
|[[82zpi]]
|22.430932598663
|53.497553
|1.218056
|0.143958
|8.507974
|[[22edo]]
|1176.946161
|2
|2
|-
|[[83zpi]]
|22.596535959725
|53.105485
|0.817326
|0.070665
|6.057085
|[[23edo]]
|1221.426154
|3
|3
|-
|[[84zpi]]
|22.807126213224
|52.615134
|3.709236
|0.623853
|12.657148
|[[23edo]]
|1210.148080
|3
|3
|-
|[[85zpi]]
|23.026191439802
|52.114567
|2.161963
|0.256306
|8.441576
|[[23edo]]
|1198.635044
|5
|5
|-
|[[86zpi]]
|23.232084152437
|51.652705
|2.750907
|0.400877
|10.713630
|[[23edo]]
|1188.012226
|3
|3
|-
|[[87zpi]]
|23.436879782608
|51.201355
|1.402248
|0.162427
|8.417773
|[[23edo]]
|1177.631163
|3
|3
|-
|[[88zpi]]
|23.603063955200
|50.840857
|0.731504
|0.062917
|6.103089
|[[24edo]]
|1220.180569
|2
|2
|-
|[[89zpi]]
|23.769627425243
|50.484594
|1.614140
|0.182679
|8.273256
|[[24edo]]
|1211.630266
|4
|4
|-
|[[90zpi]]
|24.005742183085
|49.988040
|5.721613
|1.092055
|14.821136
|[[24edo]]
|1199.712960
|6
|6
|-
|[[91zpi]]
|24.242011339011
|49.500843
|1.430838
|0.160980
|8.449365
|[[24edo]]
|1188.020235
|5
|5
|-
|[[92zpi]]
|24.389118668923
|49.202270
|0.289192
|0.015088
|3.676912
|[[24edo]]
|1180.854478
|2
|2
|-
|[[93zpi]]
|24.578255066685
|48.823645
|2.810487
|0.469100
|13.261693
|[[25edo]]
|1220.591125
|3
|3
|-
|[[94zpi]]
|24.766898096999
|48.451768
|0.721507
|0.051118
|5.036901
|[[25edo]]
|1211.294199
|3
|3
|-
|[[95zpi]]
|24.965088824629
|48.067123
|3.915820
|0.639164
|12.605015
|[[25edo]]
|1201.678080
|6
|6
|-
|[[96zpi]]
|25.187883211759
|47.641955
|2.736945
|0.365926
|9.931986
|[[25edo]]
|1191.048876
|4
|4
|-
|[[97zpi]]
|25.390492023449
|47.261786
|1.732315
|0.223731
|9.938467
|[[25edo]]
|1181.544650
|3
|3
|-
|[[98zpi]]
|25.551595728206
|46.963799
|0.285465
|0.015320
|3.835673
|[[26edo]]
|1221.058768
|2
|2
|-
|[[99zpi]]
|25.703486950160
|46.686273
|1.550016
|0.179635
|8.892042
|[[26edo]]
|1213.843089
|3
|3
|-
|[[100zpi]]
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|8.442933
|[[94edo]]
|1196.361925
|3
|3
|-
|[[535zpi]]
|94.416745940158
|12.709610
|1.151479
|0.096258
|8.489351
|[[94edo]]
|1194.703322
|2
|2
|-
|[[536zpi]]
|94.533375913102
|12.693929
|0.678509
|0.040309
|5.861983
|[[95edo]]
|1205.923293
|3
|3
|-
|[[537zpi]]
|94.673310971973
|12.675167
|2.743160
|0.296311
|11.302002
|[[95edo]]
|1204.140838
|3
|3
|-
|[[538zpi]]
|94.831128299937
|12.654073
|2.819175
|0.291575
|10.691332
|[[95edo]]
|1202.136915
|3
|3
|-
|[[539zpi]]
|94.961865191362
|12.636652
|0.953018
|0.052485
|5.397530
|[[95edo]]
|1200.481896
|4
|4
|-
|[[540zpi]]
|95.116847267193
|12.616062
|5.316969
|0.706449
|14.332919
|[[95edo]]
|1198.525848
|7
|7
|-
|[[541zpi]]
|95.282649387798
|12.594108
|1.758458
|0.142811
|8.176292
|[[95edo]]
|1196.440283
|3
|3
|-
|[[542zpi]]
|95.415658993126
|12.576552
|1.337395
|0.116246
|8.908544
|[[95edo]]
|1194.772443
|3
|3
|-
|[[543zpi]]
|95.536194013041
|12.560685
|0.585756
|0.034891
|5.892027
|[[96edo]]
|1205.825721
|2
|2
|-
|[[544zpi]]
|95.656864528624
|12.544839
|1.326531
|0.116452
|9.023393
|[[96edo]]
|1204.304579
|3
|3
|-
|[[545zpi]]
|95.781692843013
|12.528490
|1.342276
|0.093325
|6.949461
|[[96edo]]
|1202.735059
|4
|4
|-
|[[546zpi]]
|95.954394069300
|12.505941
|7.327322
|1.045052
|15.480737
|[[96edo]]
|1200.570345
|6
|6
|-
|[[547zpi]]
|96.132447994750
|12.482778
|2.431095
|0.224252
|9.548447
|[[96edo]]
|1198.346681
|6
|6
|-
|[[548zpi]]
|96.264025755422
|12.465716
|0.763738
|0.049355
|6.478779
|[[96edo]]
|1196.708730
|2
|2
|-
|[[549zpi]]
|96.366459854313
|12.452465
|0.635305
|0.036834
|5.762332
|[[96edo]]
|1195.436671
|2
|2
|-
|[[550zpi]]
|96.520079747185
|12.432646
|3.549272
|0.471966
|14.790729
|[[97edo]]
|1205.966679
|3
|3
|-
|[[551zpi]]
|96.669158181191
|12.413473
|0.404643
|0.018066
|4.384973
|[[97edo]]
|1204.106896
|2
|2
|-
|[[552zpi]]
|96.770913655690
|12.400420
|1.100851
|0.080757
|7.508997
|[[97edo]]
|1202.840767
|2
|2
|-
|[[553zpi]]
|96.925125134628
|12.380691
|4.250052
|0.495809
|12.303755
|[[97edo]]
|1200.927003
|5
|5
|-
|[[554zpi]]
|97.089414243026
|12.359741
|3.739770
|0.380211
|10.364917
|[[97edo]]
|1198.894863
|4
|4
|-
|[[555zpi]]
|97.247709549229
|12.339622
|3.012654
|0.318839
|11.069984
|[[97edo]]
|1196.943358
|4
|4
|-
|[[556zpi]]
|97.393249963285
|12.321182
|0.907034
|0.066183
|7.445945
|[[97edo]]
|1195.154695
|3
|3
|-
|[[557zpi]]
|97.500712064192
|12.307602
|0.434288
|0.023978
|5.483463
|[[98edo]]
|1206.145037
|3
|3
|-
|[[558zpi]]
|97.610041376487
|12.293817
|0.992912
|0.074301
|7.662658
|[[98edo]]
|1204.794080
|3
|3
|-
|[[559zpi]]
|97.758385431273
|12.275162
|3.322076
|0.357937
|11.284386
|[[98edo]]
|1202.965858
|6
|6
|-
|[[560zpi]]
|97.923240722407
|12.254496
|4.310922
|0.481970
|11.590393
|[[98edo]]
|1200.940646
|4
|4
|-
|[[561zpi]]
|98.079197502525
|12.235010
|2.326577
|0.205633
|9.000394
|[[98edo]]
|1199.031018
|4
|4
|-
|[[562zpi]]
|98.212588028197
|12.218393
|1.519368
|0.116527
|7.702886
|[[98edo]]
|1197.402516
|2
|2
|-
|[[563zpi]]
|98.354066989303
|12.200817
|2.366811
|0.251909
|11.247147
|[[98edo]]
|1195.680093
|3
|3
|-
|[[564zpi]]
|98.486357114585
|12.184429
|0.614799
|0.032620
|5.239148
|[[98edo]]
|1194.074016
|3
|3
|-
|[[565zpi]]
|98.620946256499
|12.167801
|2.305330
|0.266174
|12.639964
|[[99edo]]
|1204.612250
|2
|2
|-
|[[566zpi]]
|98.750079316247
|12.151889
|0.294291
|0.010980
|3.660426
|[[99edo]]
|1203.037008
|4
|4
|-
|[[567zpi]]
|98.860503245058
|12.138316
|1.817305
|0.151623
|8.832735
|[[99edo]]
|1201.693256
|8
|8
|-
|[[568zpi]]
|99.047334595663
|12.115419
|9.406495
|1.510412
|18.536483
|[[99edo]]
|1199.426522
|12
|12
|-
|[[569zpi]]
|99.231326496642
|12.092955
|0.491001
|0.022527
|4.564498
|[[99edo]]
|1197.202579
|5
|5
|-
|[[570zpi]]
|99.327681651657
|12.081224
|0.783378
|0.054725
|7.097350
|[[99edo]]
|1196.041204
|3
|3
|-
|[[571zpi]]
|99.457546119723
|12.065449
|1.521422
|0.145458
|9.983865
|[[99edo]]
|1194.479500
|2
|2
|-
|[[572zpi]]
|99.582714901067
|12.050284
|0.815515
|0.050203
|6.137922
|[[100edo]]
|1205.028404
|3
|3
|-
|[[573zpi]]
|99.722939418553
|12.033340
|2.909787
|0.316222
|11.492782
|[[100edo]]
|1203.333964
|3
|3
|-
|[[574zpi]]
|99.868765558176
|12.015769
|2.104342
|0.168871
|8.081654
|[[100edo]]
|1201.576883
|3
|3
|}


[[Category:Edonoi]][[Category:Zeta]]
Zeta peaks are those equal-step tunings which the zeta function suggests should "well" approximate JI for this particular (not objective) definition of "well approximating". See the page [[The Riemann zeta function and tuning]] for a fuller explanation of how zeta peaks are arrived at.
 
== Sigma ==
 
=== Sigma = 1/2 ===
Peaks provided here are for sigma = 1/2.
 
Other sigma choices are possible.
 
=== Sigma = 1 ===
 
* [[User:Contribution/Gallery of Zeta Peak Indexes at sigma = 1|Zeta Peak Indexes at sigma = 1]]
 
== Gallery of ZPIs ==
 
=== ZPIs with dedicated pages ===
* [[:Category:Zeta peak indexes]]''
 
=== Table of ZPIs up to 100 steps/octave ===
{{User:Contribution/Gallery of Zeta Peak Indexes (1 - 574)}}
 
=== Table of the first 10 000 ZPIs ===
* [[User:Contribution/Gallery of Zeta Peak Indexes (1 - 10 000)]] (may take a long time to load)
 
[[Category:Zeta peak indexes| ]] <!-- main article -->

Latest revision as of 17:29, 28 August 2025

A zeta peak index (ZPI or zpi) is an equal-step tuning obtained from one of the peaks of the Riemann zeta function. The peaks provided are for the common value of σ = 0.5.

For instance, the closest zeta peak of 12edo, which has a value of 12.023edo, is the 34th peak of the Riemann zeta function: this tuning is 34zpi.

ZPIs are particularly useful when dealing with zeta peak tunings that are not closely associated with an integer EDO. For example, 22.597edo is 83zpi, 22.807edo is 84zpi, 23.026edo is 85zpi, 23.232edo is 86zpi, and 23.437edo is 87zpi.

What are zeta peaks?

The Riemann zeta function is a mathematical function known for its relationship with the Riemann hypothesis, a 200-year old unsolved problem in mathematics. However, it also has a musical interpretation: the zeta function shows how "well" a given equal temperament approximates the no-limit just intonation relative to its size.

Zeta is not an objective metric: There are plenty of other metrics besides zeta for how "well" JI is approximated by an equal tuning, which you can find in: optimised regular temperament tunings.

Zeta peaks are those equal-step tunings which the zeta function suggests should "well" approximate JI for this particular (not objective) definition of "well approximating". See the page The Riemann zeta function and tuning for a fuller explanation of how zeta peaks are arrived at.

Sigma

Sigma = 1/2

Peaks provided here are for sigma = 1/2.

Other sigma choices are possible.

Sigma = 1

Gallery of ZPIs

ZPIs with dedicated pages

Table of ZPIs up to 100 steps/octave

Zeta peak indexes up to 574
Tuning Strength Closest EDO Integer limit
ZPI Steps per octave Cents Height Integral Gap EDO Octave Consistent Distinct
1zpi 1.12657363114120 1065.17671533322 1.552472 1edo 1065.17671533322 4 2
2zpi 1.97276711441199 608.282645849800 2.340551 1.103823 10.222388 2edo 1216.56529169960 4 3
3zpi 2.54885423138170 470.799775532670 1.459266 0.414716 7.471444 3edo 1412.39932659801 3 3
4zpi 3.05976162780486 392.187413913321 2.847473 1.044063 11.592757 3edo 1176.56224173996 6 4
5zpi 3.49684591978495 343.166392665594 0.925523 0.167718 5.858780 3edo 1029.49917799678 2 2
6zpi 3.90444812410668 307.341770682266 2.942394 0.927921 11.574256 4edo 1229.36708272906 8 3
7zpi 4.32209324647460 277.643246354947 1.812834 0.423656 8.808621 4edo 1110.57298541979 3 3
8zpi 4.65287606608703 257.904999607947 1.129621 0.195040 6.611021 5edo 1289.52499803973 2 2
9zpi 5.03447559860338 238.356503373041 3.664837 1.131648 13.386581 5edo 1191.78251686521 10 4
10zpi 5.39123134857279 222.583658985006 0.713345 0.091351 5.235220 5edo 1112.91829492503 2 2
11zpi 5.68341725306880 211.140577326441 2.061177 0.454332 9.689889 6edo 1266.84346395864 3 3
12zpi 6.03492368796699 198.842613767043 2.913512 0.699239 10.852507 6edo 1193.05568260226 3 3
13zpi 6.37311062893397 188.291098314219 1.816095 0.364080 9.293895 6edo 1129.74658988531 3 3
14zpi 6.63217817386913 180.936031653675 0.603289 0.064947 4.836586 7edo 1266.55222157573 3 3
15zpi 6.95668765658792 172.495885863671 4.166936 1.162332 14.234171 7edo 1207.47120104570 6 5
16zpi 7.28592482394843 164.701122917940 1.134191 0.159745 6.678867 7edo 1152.90786042558 2 2
17zpi 7.54134208555457 159.122870489936 1.551068 0.268585 8.491473 8edo 1272.98296391948 3 3
18zpi 7.81948007053665 153.462888731123 2.004530 0.355575 8.808327 8edo 1227.70310984898 2 2
19zpi 8.13742532740116 147.466790995825 3.641859 0.881068 12.934091 8edo 1179.73432796660 7 4
20zpi 8.42750220195037 142.390944700351 0.632316 0.065792 5.190978 8edo 1139.12755760281 3 3
21zpi 8.64475094387373 138.812558949475 1.368228 0.209799 7.977229 9edo 1249.31303054527 3 3
22zpi 8.94999197142904 134.078332565073 3.998567 0.954565 13.186387 9edo 1206.70499308566 8 6
23zpi 9.24299538954341 129.828042688148 1.238064 0.161912 6.821862 9edo 1168.45238419333 2 2
24zpi 9.49226767492633 126.418685302120 1.952783 0.359829 10.156929 9edo 1137.76816771908 3 3
25zpi 9.72418658652904 123.403637859270 0.740985 0.074196 5.272217 10edo 1234.03637859270 2 2
26zpi 10.0084563372591 119.898609691954 4.477141 1.082282 14.181485 10edo 1198.98609691954 8 5
27zpi 10.3075824902537 116.419150769315 1.505698 0.225586 8.414283 10edo 1164.19150769315 3 3
28zpi 10.5110425527173 114.165649504461 0.519217 0.045875 4.782443 11edo 1255.82214454907 3 3
29zpi 10.7572394449866 111.552783233737 2.933506 0.582845 11.704948 11edo 1227.08061557111 3 3
30zpi 11.0373648579550 108.721602977102 2.698327 0.469089 9.930302 11edo 1195.93763274812 4 4
31zpi 11.3011925188020 106.183484442331 2.126243 0.355179 9.698860 11edo 1168.01832886565 3 3
32zpi 11.5350090082936 104.031128119381 1.023117 0.125398 6.982530 12edo 1248.37353743257 2 2
33zpi 11.7366847838255 102.243522945572 1.198408 0.146516 7.026753 12edo 1226.92227534686 3 3
34zpi 12.0231830072926 99.8071807833375 5.193290 1.269599 15.899282 12edo 1197.68616940005 10 6
35zpi 12.2934161673253 97.6132251334238 0.322351 0.019881 3.506235 12edo 1171.35870160109 3 3
36zpi 12.4885469675710 96.0880399550116 1.800191 0.297769 10.197812 12edo 1153.05647946014 2 2
37zpi 12.7210970237270 94.3314871163859 1.613611 0.218207 8.002211 13edo 1226.30933251302 3 3
38zpi 12.9686583162718 92.5307746364446 3.102800 0.549658 10.833662 13edo 1202.90007027378 4 4
39zpi 13.2346770623239 90.6708939212522 2.814119 0.496123 10.978612 13edo 1178.72162097628 4 4
40zpi 13.4696299227111 89.0893073444193 0.889614 0.099503 6.750051 13edo 1158.16099547745 3 3
41zpi 13.6416652534063 87.9658001943981 0.697945 0.065563 5.630413 14edo 1231.52120272157 3 3
42zpi 13.9002525327005 86.3293668353859 4.592177 0.984037 14.097244 14edo 1208.61113569540 7 5
43zpi 14.1702069730364 84.6847193046230 2.022093 0.291105 8.979405 14edo 1185.58607026472 4 4
44zpi 14.3778433036959 83.4617525489053 1.004221 0.108608 6.601150 14edo 1168.46453568467 2 2
45zpi 14.5944346577250 82.2231232756126 2.097730 0.344839 10.594800 15edo 1233.34684913419 2 2
46zpi 14.7998663908511 81.0818130589212 0.869925 0.079131 5.558691 15edo 1216.22719588382 2 2
47zpi 15.0534898676781 79.7157343943591 5.050324 1.104057 14.918297 15edo 1195.73601591539 8 7
48zpi 15.3160345875118 78.3492615626790 1.168116 0.133551 7.236764 15edo 1175.23892344019 3 3
49zpi 15.4937253598657 77.4507080852502 0.758449 0.075350 6.219061 15edo 1161.76062127875 2 2
50zpi 15.6905640366340 76.4790862328635 1.799303 0.248532 8.945524 16edo 1223.66537972582 3 3
51zpi 15.9443732426877 75.2616601314409 4.191572 0.812082 13.070433 16edo 1204.18656210305 6 6
52zpi 16.1824767615904 74.1542853840667 1.200060 0.122760 6.462495 16edo 1186.46856614507 2 2
53zpi 16.3979501311478 73.1798786069366 2.518818 0.439377 12.009751 16edo 1170.87805771099 3 3
54zpi 16.6014010902057 72.2830557179879 0.366388 0.023264 3.994319 17edo 1228.81194720579 2 2
55zpi 16.7841222943581 71.4961425420129 2.004066 0.285639 9.649416 17edo 1215.43442321422 5 5
56zpi 17.0445886606675 70.4035764012981 5.056957 1.032175 14.269437 17edo 1196.86079882207 4 4
57zpi 17.2944951190352 69.3862406355660 1.033460 0.108417 6.891590 17edo 1179.56609080462 3 3
58zpi 17.4578611814612 68.7369424883673 0.681341 0.061261 5.829062 17edo 1168.52802230224 2 2
59zpi 17.6637892874310 67.9355930074348 2.446462 0.389101 10.924439 18edo 1222.84067413383 3 3
60zpi 17.8864078214062 67.0900502762695 2.152199 0.280617 8.636556 18edo 1207.62090497285 3 3
61zpi 18.1190946210975 66.2284747165428 3.512788 0.600419 11.801322 18edo 1192.11254489777 3 3
62zpi 18.3466079652840 65.4071860188364 1.429552 0.166859 7.786587 18edo 1177.32934833906 3 3
63zpi 18.5413010594664 64.7203772891295 1.339275 0.175713 9.057613 19edo 1229.68716849346 2 2
64zpi 18.7019134369095 64.1645574955832 0.374046 0.022241 3.885943 19edo 1219.12659241608 3 3
65zpi 18.9480867166984 63.3309324546460 5.980169 1.313799 16.699651 19edo 1203.28771663827 10 7
66zpi 19.1982190672343 62.5057978449701 1.092798 0.104957 6.434183 19edo 1187.61015905443 4 4
67zpi 19.3735108772656 61.9402444710306 1.323734 0.157309 8.106586 19edo 1176.86464494958 2 2
68zpi 19.5727176089709 61.3098305495399 1.766973 0.238290 9.330313 20edo 1226.19661099080 3 3
69zpi 19.7669547333089 60.7073783589894 1.419909 0.155680 7.439130 20edo 1214.14756717979 2 2
70zpi 19.9819046661574 60.0543351621727 3.392542 0.534897 11.106731 20edo 1201.08670324345 4 4
71zpi 20.2248393119540 59.3329806724710 3.531097 0.613581 12.986080 20edo 1186.65961344942 6 6
72zpi 20.4330900105668 58.7282686749499 0.257023 0.013560 3.535914 20edo 1174.56537349900 3 3
73zpi 20.5774567453445 58.3162445607613 1.051613 0.117999 7.972796 21edo 1224.64113577599 3 3
74zpi 20.7874292468999 57.7271958810858 2.915475 0.437980 10.729630 21edo 1212.27111350280 4 4
75zpi 21.0279383259393 57.0669354931351 4.107322 0.716469 12.853639 21edo 1198.40564535584 4 4
76zpi 21.2400913171162 56.4969322440242 0.730362 0.055707 5.199658 21edo 1186.43557712451 2 2
77zpi 21.4234529823551 56.0133794019270 2.177870 0.324040 10.818410 21edo 1176.28096744047 3 3
78zpi 21.6259104051269 55.4889934120653 1.264778 0.143334 7.997001 22edo 1220.75785506544 2 2
79zpi 21.7869242868810 55.0789080734347 0.827778 0.067771 5.664322 22edo 1211.73597761556 5 5
80zpi 22.0251467420146 54.4831784348982 6.062600 1.258178 16.213941 22edo 1198.62992556776 12 8
81zpi 22.2647624440801 53.8968247702578 0.951934 0.083763 6.151404 22edo 1185.73014494567 3 3
82zpi 22.4309325986632 53.4975527531796 1.218056 0.143958 8.507974 22edo 1176.94616056995 2 2
83zpi 22.5965359597246 53.1054849353390 0.817326 0.070665 6.057085 23edo 1221.42615351280 3 3
84zpi 22.8071262132237 52.6151339182853 3.709236 0.623853 12.657148 23edo 1210.14808012056 3 3
85zpi 23.0261914398016 52.1145671500740 2.161963 0.256306 8.441576 23edo 1198.63504445170 5 5
86zpi 23.2320841524373 51.6527054622479 2.750907 0.400877 10.713630 23edo 1188.01222563170 3 3
87zpi 23.4368797826083 51.2013549214209 1.402248 0.162427 8.417773 23edo 1177.63116319268 3 3
88zpi 23.6030639552002 50.8408570293103 0.731504 0.062917 6.103089 24edo 1220.18056870345 2 2
89zpi 23.7696274252429 50.4845944167228 1.614140 0.182679 8.273256 24edo 1211.63026600135 4 4
90zpi 24.0057421830853 49.9880399800983 5.721613 1.092055 14.821136 24edo 1199.71295952236 6 6
91zpi 24.2420113390111 49.5008431115168 1.430838 0.160980 8.449365 24edo 1188.02023467640 5 5
92zpi 24.3891186689229 49.2022699257709 0.289192 0.015088 3.676912 24edo 1180.85447821850 2 2
93zpi 24.5782550666850 48.8236449961234 2.810487 0.469100 13.261693 25edo 1220.59112490308 3 3
94zpi 24.7668980969992 48.4517679727278 0.721507 0.051118 5.036901 25edo 1211.29419931819 3 3
95zpi 24.9650888246290 48.0671231906915 3.915820 0.639164 12.605015 25edo 1201.67807976729 6 6
96zpi 25.1878832117586 47.6419550587640 2.736945 0.365926 9.931986 25edo 1191.04887646910 4 4
97zpi 25.3904920234491 47.2617859823966 1.732315 0.223731 9.938467 25edo 1181.54464955991 3 3
98zpi 25.5515957282057 46.9637987687538 0.285465 0.015320 3.835673 26edo 1221.05876798760 2 2
99zpi 25.7034869501596 46.6862726573583 1.550016 0.179635 8.892042 26edo 1213.84308909132 3 3
100zpi 25.9356996537225 46.2682717652372 5.545073 1.031155 14.793013 26edo 1202.97506589617 14 9
101zpi 26.1569708443492 45.8768718725410 1.203870 0.107517 6.524581 26edo 1192.79866868607 4 4
102zpi 26.3282726958943 45.5783793285888 1.761035 0.218588 9.369937 26edo 1185.03786254331 2 2
103zpi 26.5097255289111 45.2664060475201 1.315212 0.139268 7.852592 27edo 1222.19296328304 2 2
104zpi 26.6907769881100 44.9593505852065 1.774617 0.218962 9.344236 27edo 1213.90246580058 2 2
105zpi 26.8614449800848 44.6736949888469 1.256485 0.112342 6.582438 27edo 1206.18976469887 4 4
106zpi 27.0866140827635 44.3023257293579 6.069233 1.185939 16.215619 27edo 1196.16279469266 10 8
107zpi 27.3120290844743 43.9366843191503 0.602637 0.041871 5.114968 27edo 1186.29047661706 3 3
108zpi 27.4542642328809 43.7090569909648 0.984736 0.101571 7.811143 27edo 1180.14453875605 2 2
109zpi 27.6183280003205 43.4494079433800 1.239508 0.126212 7.661708 28edo 1216.58342241464 3 3
110zpi 27.8137942668253 43.1440596880840 3.162449 0.446881 10.945193 28edo 1208.03367126635 4 4
111zpi 28.0320347788478 42.8081660666847 3.688692 0.558839 11.937782 28edo 1198.62864986717 6 6
112zpi 28.2227703035949 42.5188593143583 0.923641 0.071711 5.745791 28edo 1190.52806080203 3 3
113zpi 28.4036873861268 42.2480357457431 2.614796 0.391266 11.944435 28edo 1182.94500088081 3 3
114zpi 28.5934669867681 41.9676284990313 0.825416 0.073811 6.783286 29edo 1217.06122647191 2 2
115zpi 28.7248803560996 41.7756309207807 0.551753 0.036944 5.000303 29edo 1211.49329670264 3 3
116zpi 28.9399661541990 41.4651487014917 5.566209 1.000619 14.904418 29edo 1202.48931234326 8 7
117zpi 29.1704145107142 41.1375710673992 2.855645 0.384862 10.705411 29edo 1192.98956095458 4 4
118zpi 29.3503189607580 40.8854159848970 0.647694 0.049128 5.712956 29edo 1185.67706356201 2 2
119zpi 29.4903042356061 40.6913401236173 0.915439 0.084582 7.071401 29edo 1180.04886358490 2 2
120zpi 29.6767284481496 40.4357239746493 2.621693 0.366305 11.102393 30edo 1213.07171923948 3 3
121zpi 29.8682074909198 40.1764987190748 1.984637 0.214684 8.272006 30edo 1205.29496157225 3 3
122zpi 30.0612579863819 39.9184891245607 3.245270 0.442346 10.689650 30edo 1197.55467373682 6 6
123zpi 30.2699460014115 39.6432818196651 2.906693 0.414672 11.595454 30edo 1189.29845458995 3 3
124zpi 30.4482106928838 39.4111828804593 0.474962 0.029769 4.718001 30edo 1182.33548641378 3 3
125zpi 30.6006474885974 39.2148564976330 1.468164 0.179829 9.828199 31edo 1215.66055142662 3 3
126zpi 30.7543469089072 39.0188744229991 0.769144 0.054271 5.353688 31edo 1209.58510711297 4 4
127zpi 30.9783816349790 38.7366910944446 7.003472 1.403777 17.739476 31edo 1200.83742392778 12 9
128zpi 31.1994275240552 38.4622441894096 0.448678 0.024321 4.097673 31edo 1192.32956987170 5 5
129zpi 31.3395046957518 38.2903307391028 1.429493 0.160409 8.933633 31edo 1187.00025291219 2 2
130zpi 31.5224811377670 38.0680694122863 1.980663 0.250503 10.086192 32edo 1218.17822119316 3 3
131zpi 31.6941054605102 37.8619299255870 1.101657 0.098081 6.863114 32edo 1211.58175761878 2 2
132zpi 31.8624457827720 37.6618922533825 2.213903 0.257482 9.210602 32edo 1205.18055210824 5 5
133zpi 32.0701500181780 37.4179727665700 4.471728 0.689412 12.537826 32edo 1197.37512853024 4 4
134zpi 32.2792850100751 37.1755446139979 2.123914 0.251877 9.488344 32edo 1189.61742764793 3 3
135zpi 32.4522619671503 36.9773916288084 0.895051 0.086749 7.807733 32edo 1183.27653212187 3 3
136zpi 32.5752331017710 36.8378023957950 0.220883 0.009781 3.376433 33edo 1215.64747906124 3 3
137zpi 32.7619027745559 36.6279091986063 3.709815 0.576292 13.381660 33edo 1208.72100355401 4 4
138zpi 32.9722652047837 36.3942238286346 3.325323 0.431878 10.369896 33edo 1201.00938634494 4 4
139zpi 33.1681839534426 36.1792494181898 2.427832 0.302328 10.095845 33edo 1193.91523080026 2 2
140zpi 33.3347520713326 35.9984678281733 0.832120 0.062873 5.852728 33edo 1187.94943832972 2 2
141zpi 33.5087983817619 35.8114900548965 2.437719 0.351255 12.128688 34edo 1217.59066186648 2 2
142zpi 33.6790949812381 35.6304111101707 0.514062 0.032206 4.843654 34edo 1211.43397774581 2 2
143zpi 33.8224341960638 35.4794097031506 1.625577 0.167504 8.359380 34edo 1206.29992990712 5 5
144zpi 34.0448410043159 35.2476312005063 6.685147 1.241437 16.236989 34edo 1198.41946081721 6 6
145zpi 34.2623567376499 35.0238604188414 0.829041 0.062486 5.940926 34edo 1190.81125424061 3 3
146zpi 34.3983294993998 34.8854150031017 0.874679 0.078255 7.112517 34edo 1186.10411010546 2 2
147zpi 34.5571236698364 34.7251122942108 1.445024 0.157108 8.783394 35edo 1215.37893029738 3 3
148zpi 34.7264345771095 34.5558078338108 1.819256 0.191237 8.415116 35edo 1209.45327418338 3 3
149zpi 34.9253760937452 34.3589714475518 4.150200 0.630873 12.775820 35edo 1202.56400066431 3 3
150zpi 35.1126413116658 34.1757257549665 1.270767 0.102467 6.332610 35edo 1196.15040142383 3 3
151zpi 35.2948974160593 33.9992488391253 3.400686 0.518602 13.081926 35edo 1189.97370936939 3 3
152zpi 35.4803035356218 33.8215821292288 0.622886 0.044064 5.589426 35edo 1183.75537452301 3 3
153zpi 35.6156233798123 33.6930786582887 0.946945 0.088071 7.515296 36edo 1212.95083169839 2 2
154zpi 35.7705430081283 33.5471563774505 1.560729 0.153048 7.941378 36edo 1207.69762958822 4 4
155zpi 35.9823877000425 33.3496490006021 6.027497 1.028887 14.706508 36edo 1200.58736402167 8 8
156zpi 36.1970196786110 33.1519006441595 1.910196 0.208751 9.069562 36edo 1193.46842318974 5 5
157zpi 36.3479382188780 33.0142522190366 0.552586 0.036709 5.256560 36edo 1188.51307988532 2 2
158zpi 36.4919920835687 32.8839268969459 1.406709 0.148575 8.698295 36edo 1183.82136829005 2 2
159zpi 36.6803098944811 32.7150998301830 2.824279 0.405039 12.430580 37edo 1210.45869371677 3 3
160zpi 36.8389247540417 32.5742406438816 0.321784 0.013319 3.244119 37edo 1205.24690382362 2 2
161zpi 37.0275229191254 32.4083250889078 5.287327 0.891828 15.095854 37edo 1199.10802828959 8 8
162zpi 37.2348512315255 32.2278714782134 2.021445 0.213092 8.610778 37edo 1192.43124469390 6 6
163zpi 37.4024599705159 32.0834512207473 1.417454 0.149997 8.735962 37edo 1187.08769516765 3 3
164zpi 37.5557419774403 31.9525041129753 0.764130 0.064215 6.819864 38edo 1214.19515629306 3 3
165zpi 37.6851181484904 31.8428084866723 0.738323 0.053364 5.837177 38edo 1210.02672249355 3 3
166zpi 37.8901105027757 31.6705331305933 5.808723 0.986660 15.046792 38edo 1203.48025896255 6 6
167zpi 38.1028843696012 31.4936787556527 2.460279 0.285153 9.747846 38edo 1196.75979271480 6 6
168zpi 38.2589884893173 31.3651784164410 0.708756 0.047420 5.351402 38edo 1191.87677982476 2 2
169zpi 38.4237354883195 31.2306959422201 2.451940 0.335977 11.837799 38edo 1186.76644580436 2 2
170zpi 38.5947605831326 31.0923032522825 0.867119 0.067967 6.333588 39edo 1212.59982683902 2 2
171zpi 38.7435928679379 30.9728631541824 1.547373 0.159124 8.533832 39edo 1207.94166301312 2 2
172zpi 38.9151741818688 30.8363003694096 2.600953 0.293079 9.356745 39edo 1202.61571440698 4 4
173zpi 39.1237487937926 30.6719073963176 5.593908 0.926356 14.714802 39edo 1196.20438845639 7 7
174zpi 39.3279113289120 30.5126806751575 0.804661 0.063871 6.605780 39edo 1189.99454633114 3 3
175zpi 39.4459717353160 30.4213572947840 0.368352 0.021337 4.672473 39edo 1186.43293449658 2 2
176zpi 39.5998067571046 30.3031781786336 1.904704 0.230321 10.452207 40edo 1212.12712714534 3 3
177zpi 39.7762605939429 30.1687484464725 2.280511 0.248139 9.030092 40edo 1206.74993785890 4 4
178zpi 39.9678548089932 30.0241282834621 3.982724 0.555643 11.944673 40edo 1200.96513133849 4 4
179zpi 40.1550971766866 29.8841264091549 1.867165 0.185655 8.226492 40edo 1195.36505636619 2 2
180zpi 40.3177178872096 29.7635893816472 1.738968 0.180921 8.656527 40edo 1190.54357526589 3 3
181zpi 40.4908987389668 29.6362895705540 1.956156 0.237775 10.451088 40edo 1185.45158282216 3 3
182zpi 40.6483028038620 29.5215277693214 0.601820 0.042114 5.726295 41edo 1210.38263854218 2 2
183zpi 40.7718944504318 29.4320393048916 0.908010 0.069455 6.362794 41edo 1206.71361150056 5 5
184zpi 40.9880783925993 29.2768055263764 7.570230 1.423937 17.722623 41edo 1200.34902658143 16 10
185zpi 41.1967489723776 29.1285120776059 0.656156 0.038199 4.732021 41edo 1194.26899518184 4 4
186zpi 41.3438354846780 29.0248832971658 1.876590 0.241233 11.567493 41edo 1190.02021518380 2 2
187zpi 41.4881285036370 28.9239366363514 0.187425 0.006831 2.940943 41edo 1185.88140209041 2 2
188zpi 41.6477381898475 28.8130893094339 2.743274 0.377754 12.481972 42edo 1210.14975099623 3 3
189zpi 41.8281385399363 28.6888214940351 2.029010 0.206419 8.495897 42edo 1204.93050274947 3 3
190zpi 41.9988672418690 28.5721991759747 2.689436 0.303886 9.541545 42edo 1200.03236539094 8 8
191zpi 42.1875914252516 28.4443828021368 3.591963 0.481940 11.612694 42edo 1194.66407768974 3 3
192zpi 42.3732221722167 28.3197722165868 1.570002 0.163792 8.976022 42edo 1189.43043309664 3 3
193zpi 42.5166353389604 28.2242465903781 0.511163 0.033346 5.375661 43edo 1213.64260338626 2 2
194zpi 42.6507350666028 28.1355057099508 1.171024 0.111063 8.091906 43edo 1209.82674552788 3 3
195zpi 42.8176534957581 28.0258235103631 2.607317 0.293795 9.655905 43edo 1205.11041094561 4 4
196zpi 43.0264994477693 27.8897892090130 6.166118 1.035628 15.545919 43edo 1199.26093598756 8 8
197zpi 43.2242506623618 27.7621932505800 0.514436 0.029283 4.704540 43edo 1193.77430977494 2 2
198zpi 43.3425336264652 27.6864294630730 0.909803 0.075846 7.056094 43edo 1190.51646691214 2 2
199zpi 43.5183925108247 27.5745479270980 2.830523 0.402910 12.871286 44edo 1213.28010879231 3 3
200zpi 43.6833613948817 27.4704134865547 0.537029 0.031132 4.776165 44edo 1208.69819340841 2 2
201zpi 43.8242648823130 27.3820907942784 1.919241 0.202887 9.193697 44edo 1204.81199494825 2 2
202zpi 44.0154367628970 27.2631623869639 4.594960 0.647705 12.374694 44edo 1199.57914502641 6 6
203zpi 44.2146221678670 27.1403427455296 3.094998 0.389742 11.116580 44edo 1194.17508080330 4 4
204zpi 44.3823898369815 27.0377508828987 0.750514 0.054934 6.136967 44edo 1189.66103884754 3 3
205zpi 44.5183556743298 26.9551734744764 0.989944 0.094759 8.254161 45edo 1212.98280635144 3 3
206zpi 44.6484432910430 26.8766369339630 0.641912 0.041435 5.395900 45edo 1209.44866202833 3 3
207zpi 44.8397488079316 26.7619697233392 5.252141 0.837163 14.719415 45edo 1204.28863755026 7 7
208zpi 45.0346242497841 26.6461643677587 2.128592 0.206303 8.224572 45edo 1199.07739654914 4 4
209zpi 45.1982280601191 26.5497133738043 2.173996 0.237962 9.442097 45edo 1194.73710182119 2 2
210zpi 45.3641824520246 26.4525873748320 1.658296 0.169661 8.797573 45edo 1190.36643186744 3 3
211zpi 45.5189813577015 26.3626286047583 1.246380 0.114065 7.790770 46edo 1212.68091581888 2 2
212zpi 45.6795848718380 26.2699410112156 1.746330 0.204830 10.611042 46edo 1208.41728651592 2 2
213zpi 45.8090204247139 26.1957140509515 0.196235 0.006268 2.638635 46edo 1205.00284634377 4 4
214zpi 46.0089748051542 26.0818678330031 7.495674 1.356067 17.747832 46edo 1199.76592031814 14 11
215zpi 46.2220729185325 25.9616223208991 1.795297 0.180658 8.929989 46edo 1194.23462676136 6 6
216zpi 46.3603068724291 25.8842117525682 0.420074 0.023794 4.744555 46edo 1190.67374061814 3 3
217zpi 46.4915777489219 25.8111266191182 1.241218 0.122932 8.693891 46edo 1187.31182447944 2 2
218zpi 46.6571816742519 25.7195132011634 2.151499 0.244571 9.958379 47edo 1208.81712045468 3 3
219zpi 46.8216780652860 25.6291540496856 1.981576 0.190281 8.225052 47edo 1204.57024033522 3 3
220zpi 47.0060419283620 25.5286331452629 4.284790 0.612871 13.012654 47edo 1199.84575782736 2 2
221zpi 47.1785951246570 25.4352635306184 0.977210 0.065028 5.596197 47edo 1195.45738593907 3 3
222zpi 47.3450555113956 25.3458357380354 3.320689 0.479600 13.412098 47edo 1191.25427968766 3 3
223zpi 47.5208242664937 25.2520872380175 0.581822 0.040187 5.932069 48edo 1212.10018742484 2 2
224zpi 47.6300379024509 25.1941852840359 0.440928 0.026506 5.109799 48edo 1209.32089363372 2 2
225zpi 47.7862290499983 25.1118371099015 2.616176 0.307744 10.690376 48edo 1205.36818127527 6 6
226zpi 47.9883202080850 25.0060847055410 5.843508 0.890480 13.888482 48edo 1200.29206586597 6 6
227zpi 48.1842576803042 24.9043994402037 1.866901 0.184414 8.694020 48edo 1195.41117312978 5 5
228zpi 48.3285647863478 24.8300359281305 0.789782 0.058763 6.368819 48edo 1191.84172455027 2 2
229zpi 48.4641630239629 24.7605637882710 1.187538 0.108335 7.945510 48edo 1188.50706183701 2 2
230zpi 48.6303420872147 24.6759522655196 2.392398 0.289506 10.822349 49edo 1209.12166101046 3 3
231zpi 48.7932181639285 24.5935817549154 1.434619 0.124844 7.495853 49edo 1205.08550599086 2 2
232zpi 48.9451043713635 24.5172630728333 2.222322 0.221052 8.689157 49edo 1201.34589056883 6 6
233zpi 49.1412057629230 24.4194252332612 5.691547 0.920677 15.624024 49edo 1196.55183642980 7 7
234zpi 49.3270946748723 24.3274007502268 0.317014 0.013429 3.575466 49edo 1192.04263676112 3 3
235zpi 49.4574177852311 24.2632966648401 1.520854 0.174458 10.508697 49edo 1188.90153657716 3 3
236zpi 49.6035356083796 24.1918239351729 0.681428 0.047866 6.028044 50edo 1209.59119675865 3 3
237zpi 49.7375066491315 24.1266617658438 1.452471 0.129499 7.868439 50edo 1206.33308829219 3 3
238zpi 49.9385162652878 24.0295485277387 6.655352 1.111229 15.942083 50edo 1201.47742638693 10 9
239zpi 50.1328011344096 23.9364243139480 1.052133 0.074567 6.102126 50edo 1196.82121569740 5 5
240zpi 50.2684577537706 23.8718284511123 1.465455 0.139389 8.366525 50edo 1193.59142255562 2 2
241zpi 50.4283419615302 23.7961422748230 1.970643 0.216054 9.744135 50edo 1189.80711374115 2 2
242zpi 50.5946538220969 23.7179209530614 1.653326 0.180442 9.962843 51edo 1209.61396860613 2 2
243zpi 50.7251867755599 23.6568867712514 0.297289 0.012459 3.558271 51edo 1206.50122533382 2 2
244zpi 50.8837359223909 23.5831740387591 3.532142 0.458954 12.254815 51edo 1202.74187597671 5 5
245zpi 51.0796941521015 23.4927013546073 4.827438 0.657589 12.357000 51edo 1198.12776908497 4 4
246zpi 51.2684263893069 23.4062186907747 2.147655 0.235428 10.023167 51edo 1193.71715322951 3 3
247zpi 51.4173953408555 23.3384050678759 0.482590 0.030969 5.583977 51edo 1190.25865846167 3 3
248zpi 51.5238063575405 23.2902047584142 0.482392 0.029936 5.400031 52edo 1211.09064743754 3 3
249zpi 51.6947260254851 23.2131997257981 3.413564 0.471796 13.043858 52edo 1207.08638574150 3 3
250zpi 51.8674755714248 23.1358859628232 1.930519 0.170763 7.704991 52edo 1203.06607006680 4 4
251zpi 52.0425742004559 23.0580446573968 4.088168 0.557410 12.619985 52edo 1199.01832218463 4 4
252zpi 52.2133301754399 22.9826367321894 1.185685 0.088338 6.459993 52edo 1195.09711007385 3 3
253zpi 52.3676482566924 22.9149110175412 2.371475 0.285444 11.013262 52edo 1191.57537291214 3 3
254zpi 52.5285245246146 22.8447307602879 1.038057 0.086186 7.297073 53edo 1210.77073029526 2 2
255zpi 52.6678362161899 22.7843041638214 1.102985 0.100790 8.160952 53edo 1207.56812068254 2 2
256zpi 52.7929814169108 22.7302942132306 0.763204 0.047517 5.419021 53edo 1204.70559330122 5 5
257zpi 52.9968291550147 22.6428640945673 8.249774 1.486620 18.069918 53edo 1200.07179701207 10 10
258zpi 53.2025316704729 22.5553176197063 0.961612 0.068511 6.290215 53edo 1195.43183384443 4 4
259zpi 53.3227042133544 22.5044850538444 0.755294 0.054866 6.369692 53edo 1192.73770785375 2 2
260zpi 53.4723247959719 22.4415153928448 1.849029 0.212624 10.581062 53edo 1189.40031582077 2 2
261zpi 53.6200187252134 22.3797012483274 0.911872 0.064902 6.207986 54edo 1208.50386740968 3 3
262zpi 53.7810758741546 22.3126811893453 3.077120 0.386380 11.625218 54edo 1204.88478422464 3 3
263zpi 53.9485782380187 22.2434036112250 2.020254 0.184269 8.048793 54edo 1201.14379500615 4 4
264zpi 54.1158813587316 22.1746365368284 3.477929 0.418117 10.920379 54edo 1197.43037298873 4 4
265zpi 54.2990897284592 22.0998179896017 2.966392 0.375211 12.053203 54edo 1193.39017143849 3 3
266zpi 54.4552323399871 22.0364499137180 0.313589 0.014665 4.051707 54edo 1189.96829534077 3 3
267zpi 54.5756590802076 21.9878242466373 1.077708 0.103608 8.823544 55edo 1209.33033356505 3 3
268zpi 54.7119432012999 21.9330539144786 1.070982 0.081618 6.749027 55edo 1206.31796529632 3 3
269zpi 54.8936475332682 21.8604529653954 5.259547 0.755234 13.567055 55edo 1202.32491309674 4 4
270zpi 55.0877256278105 21.7834369875345 3.475625 0.412837 10.910231 55edo 1198.08903431440 6 6
271zpi 55.2547168138033 21.7176029341304 1.262149 0.113000 8.182862 55edo 1194.46816137717 2 2
272zpi 55.3742904126595 21.6707065870710 0.379542 0.018524 4.245840 55edo 1191.88886228890 2 2
273zpi 55.5369034947806 21.6072543567860 3.207402 0.460519 14.061502 56edo 1210.00624398001 3 3
274zpi 55.7032461268402 21.5427301537780 0.717453 0.047174 5.793499 56edo 1206.39288861157 2 2
275zpi 55.8211521613591 21.4972273687800 1.033520 0.076726 6.641060 56edo 1203.84473265168 2 2
276zpi 56.0083399588546 21.4253805929895 6.063216 0.931117 14.804703 56edo 1199.82131320741 8 8
277zpi 56.2016203111099 21.3516975730820 2.433707 0.248490 9.281010 56edo 1195.69506409259 6 6
278zpi 56.3563772685073 21.2930649229395 1.270738 0.115409 8.236771 56edo 1192.41163568461 3 3
279zpi 56.4916062232796 21.2420938299590 0.720703 0.054367 6.735118 56edo 1189.55725447770 2 2
280zpi 56.6146321388655 21.1959338896103 0.835552 0.062037 6.642899 57edo 1208.16823170779 3 3
281zpi 56.7765879983486 21.1354722484363 3.254400 0.390738 11.224581 57edo 1204.72191816087 6 6
282zpi 56.9682909142655 21.0643496713977 4.871554 0.690239 13.705834 57edo 1200.66793126967 8 8
283zpi 57.1340426296859 21.0032398333476 0.515120 0.024199 4.102633 57edo 1197.18467050081 2 2
284zpi 57.2786281270200 20.9502224344288 2.806835 0.352070 11.922515 57edo 1194.16267876244 3 3
285zpi 57.4482085570448 20.8883798144624 1.595619 0.157270 9.042731 57edo 1190.63764942436 3 3
286zpi 57.5850766899578 20.8387323413822 0.690843 0.046278 5.939620 58edo 1208.64647580017 2 2
287zpi 57.7248474882306 20.7882749321194 1.712378 0.177401 9.594084 58edo 1205.71994606293 2 2
288zpi 57.8695228654738 20.7363036807747 1.572391 0.125169 7.129281 58edo 1202.70561348493 4 4
289zpi 58.0667185533159 20.6658827964969 7.814035 1.358357 18.056292 58edo 1198.62120219682 16 12
290zpi 58.2629973387323 20.5962627192587 0.246291 0.009021 3.213106 58edo 1194.58323771700 3 3
291zpi 58.3742780111443 20.5569994333961 1.076030 0.102854 8.954364 58edo 1192.30596713697 2 2
292zpi 58.5091609018446 20.5096087775576 0.901337 0.068180 6.787650 59edo 1210.06691787590 3 3
293zpi 58.6692623346456 20.4536404967098 2.782950 0.343033 11.661894 59edo 1206.76478930588 3 3
294zpi 58.8267463778385 20.3988844171751 1.475115 0.115470 6.993046 59edo 1203.53418061333 3 3
295zpi 58.9922648813293 20.3416499165434 3.985025 0.510798 12.082986 59edo 1200.15734507606 5 5
296zpi 59.1666475896353 20.2816966802462 2.325146 0.229939 9.016746 59edo 1196.62010413452 3 3
297zpi 59.3213548590286 20.2288029808436 1.829071 0.175190 8.722325 59edo 1193.49937586977 3 3
298zpi 59.4815317703157 20.1743291452837 1.901961 0.221791 11.463643 59edo 1190.28541957174 3 3
299zpi 59.6178560148390 20.1281978288739 0.124635 0.003813 2.687694 60edo 1207.69186973243 2 2
300zpi 59.7235618503407 20.0925725596715 1.020541 0.083317 7.817512 60edo 1205.55435358029 3 3
301zpi 59.9201656607655 20.0266469020418 7.046396 1.131000 15.932359 60edo 1201.59881412251 10 10
302zpi 60.1136202008320 19.9621981838883 2.179792 0.201576 8.453469 60edo 1197.73189103330 4 4
303zpi 60.2629587691150 19.9127295524528 1.530287 0.146112 8.851976 60edo 1194.76377314717 2 2
304zpi 60.3963541837042 19.8687489703439 0.702580 0.046528 5.934052 60edo 1192.12493822064 2 2
305zpi 60.5389517264111 19.8219487747833 1.918195 0.206484 10.097924 61edo 1209.13887526178 3 3
306zpi 60.6995992650913 19.7694880119271 1.984162 0.203656 9.500795 61edo 1205.93876872755 2 2
307zpi 60.8438124343717 19.7226299928914 1.329000 0.102639 6.969380 61edo 1203.08042956638 2 2
308zpi 61.0031915487115 19.6711019462284 3.651836 0.430595 11.080450 61edo 1199.93721871993 6 6
309zpi 61.1899579776371 19.6110610247283 4.522434 0.612136 13.103392 61edo 1196.27472250842 6 6
310zpi 61.3650727684830 19.5550978082816 0.879225 0.067633 7.163403 61edo 1192.86096630518 3 3
311zpi 61.4737453180729 19.5205285409413 0.308183 0.014865 4.304157 61edo 1190.75224099742 3 3
312zpi 61.6148335393368 19.4758296187538 1.931608 0.225051 11.339301 62edo 1207.50143636273 3 3
313zpi 61.7570585673348 19.4309772492098 1.038924 0.069152 5.988643 62edo 1204.72058945101 4 4
314zpi 61.9380472360525 19.3741981471691 6.262952 0.952068 15.026453 62edo 1201.20028512448 8 8
315zpi 62.1297615103406 19.3144150376350 2.249577 0.236225 10.389110 62edo 1197.49373233337 5 5
316zpi 62.2561204986878 19.2752132704012 0.124634 0.003155 2.239821 62edo 1195.06322276487 2 2
317zpi 62.4054836742562 19.2290793909034 3.147820 0.438058 14.235540 62edo 1192.20292223601 3 3
318zpi 62.5706008969214 19.1783358765705 0.930376 0.068609 6.710439 63edo 1208.23516022394 2 2
319zpi 62.6989493884242 19.1390766783973 1.097917 0.092231 7.748190 63edo 1205.76183073903 2 2
320zpi 62.8317086673125 19.0986370648279 1.423082 0.113490 7.328819 63edo 1203.21413508416 5 5
321zpi 63.0192885705350 19.0417890652143 6.768662 1.049023 15.412920 63edo 1199.63271110850 8 8
322zpi 63.2073304209154 18.9851397299785 1.735228 0.146786 7.778139 63edo 1196.06380298865 4 4
323zpi 63.3523599407441 18.9416779599435 1.487248 0.149872 9.636446 63edo 1193.32571147644 3 3
324zpi 63.4820900240111 18.9029693185293 0.364339 0.018823 4.649012 63edo 1190.88706706735 2 2
325zpi 63.6001794885619 18.8678712803918 1.154569 0.098289 8.030421 64edo 1207.54376194507 3 3
326zpi 63.7755578116328 18.8159859541224 4.294126 0.588980 13.437518 64edo 1204.22310106383 3 3
327zpi 63.9417017997285 18.7670951229687 1.537264 0.114781 6.776320 64edo 1201.09408786999 4 4
328zpi 64.0993554529598 18.7209370752665 3.612776 0.445177 11.818611 64edo 1198.13997281706 2 2
329zpi 64.2659524894239 18.6724066712849 1.814599 0.165176 8.426760 64edo 1195.03402696224 3 3
330zpi 64.4123850539735 18.6299575616471 1.543630 0.143805 8.666993 64edo 1192.31728394542 3 3
331zpi 64.5606141595703 18.5871837748327 1.391085 0.136370 9.307579 65edo 1208.16694536413 2 2
332zpi 64.6874683930590 18.5507337017499 0.489027 0.026821 4.961836 65edo 1205.79769061374 3 3
333zpi 64.8189580509998 18.5131022787475 2.021407 0.192939 9.145175 65edo 1203.35164811858 7 7
334zpi 65.0158450885860 18.4570391781413 7.813349 1.269821 16.514861 65edo 1199.70754657919 6 6
335zpi 65.2099287191200 18.4021056849914 1.097627 0.081935 6.985148 65edo 1196.13686952444 5 5
336zpi 65.3248895418838 18.3697210728631 0.549360 0.033412 5.545061 65edo 1194.03186973610 2 2
337zpi 65.4558787632399 18.3329598910514 1.497773 0.145255 9.207500 65edo 1191.64239291834 2 2
338zpi 65.6180369970471 18.2876546589469 2.423098 0.285838 11.511133 66edo 1206.98520749050 3 3
339zpi 65.7553795181244 18.2494574405010 0.486400 0.022483 4.168011 66edo 1204.46419107306 3 3
340zpi 65.9158158482913 18.2050390267772 4.469113 0.620786 13.998526 66edo 1201.53257576729 2 2
341zpi 66.0821618610393 18.1592122019769 1.668099 0.126261 6.920563 66edo 1198.50800533048 4 4
342zpi 66.2463426513037 18.1142075467676 4.114058 0.559460 13.529076 66edo 1195.53769808666 4 4
343zpi 66.4154889670582 18.0680744606909 0.782645 0.054315 6.431152 66edo 1192.49291440560 3 3
344zpi 66.5330134017830 18.0361588727896 0.678268 0.050255 6.890632 67edo 1208.42264447691 2 2
345zpi 66.6511016677143 18.0042035311365 0.801667 0.056352 6.525275 67edo 1206.28163658615 3 3
346zpi 66.8108104662562 17.9611651411724 3.637876 0.434417 11.646984 67edo 1203.39806445855 4 4
347zpi 66.9983955140918 17.9108766828245 5.331365 0.724895 13.386253 67edo 1200.02873774924 4 4
348zpi 67.1687953903058 17.8654387506433 1.145201 0.080143 6.442564 67edo 1196.98439629310 5 5
349zpi 67.3040949286566 17.8295243591347 1.654031 0.165479 9.569366 67edo 1194.57813206203 2 2
350zpi 67.4393002044230 17.7937789443625 0.830230 0.055816 6.175288 67edo 1192.18318927228 2 2
351zpi 67.5914903650132 17.7537141660830 2.639332 0.323579 12.062466 68edo 1207.25256329365 2 2
352zpi 67.7458991176146 17.7132492981850 0.997211 0.074197 6.918024 68edo 1204.50095227658 2 2
353zpi 67.8609531907493 17.6832175732477 0.915682 0.058404 5.901094 68edo 1202.45879498085 5 5
354zpi 68.0493056282519 17.6342725163943 7.666604 1.254592 17.034505 68edo 1199.13053111481 10 10
355zpi 68.2404318270010 17.5848828600934 1.291664 0.097854 7.095918 68edo 1195.77203448635 6 6
356zpi 68.3661063759451 17.5525573067040 0.940770 0.072706 7.209631 68edo 1193.57389685587 3 3
357zpi 68.5032557648893 17.5174155826773 1.284558 0.126358 9.518932 69edo 1208.70167520473 3 3
358zpi 68.6242507456349 17.4865297174313 0.419056 0.020242 4.413228 69edo 1206.57055050276 3 3
359zpi 68.7793781502555 17.4470899893639 3.727725 0.466649 12.567601 69edo 1203.84920926611 6 6
360zpi 68.9600161044447 17.4013880475683 4.142538 0.497993 11.609870 69edo 1200.69577528221 6 6
361zpi 69.1246112837247 17.3599529561845 1.817851 0.159901 8.294120 69edo 1197.83675397673 2 2
362zpi 69.2585753964037 17.3263742884078 1.244724 0.094118 7.024382 69edo 1195.51982590014 3 3
363zpi 69.4191373621103 17.2862995075904 3.169090 0.429442 14.276498 69edo 1192.75466602374 3 3
364zpi 69.5704026167013 17.2487143219712 0.096808 0.002355 2.206818 70edo 1207.41000253799 2 2
365zpi 69.6807229795223 17.2214057014399 1.263704 0.119115 9.440418 70edo 1205.49839910079 2 2
366zpi 69.8265874613323 17.1854309887981 2.112555 0.195535 8.795110 70edo 1202.98016921587 5 5
367zpi 70.0040185665629 17.1418730606013 5.698371 0.763911 13.162600 70edo 1199.93111424209 10 10
368zpi 70.1911982193248 17.0961606361297 3.437073 0.416756 12.481351 70edo 1196.73124452908 7 7
369zpi 70.3434069622478 17.0591680417757 0.213396 0.008189 3.521338 70edo 1194.14176292430 3 3
370zpi 70.4373071391135 17.0364264157629 0.619653 0.043294 6.683044 70edo 1192.54984910341 2 2
371zpi 70.5909931918320 16.9993358322496 2.606389 0.309753 11.784944 71edo 1206.95284408972 3 3
372zpi 70.7491415154812 16.9613365518706 1.837153 0.162767 8.346461 71edo 1204.25489518282 3 3
373zpi 70.8951562521128 16.9264032049332 2.285630 0.214583 8.902084 71edo 1201.77462755026 3 3
374zpi 71.0593309545342 16.8872966277686 3.793904 0.446694 11.433644 71edo 1198.99806057157 6 6
375zpi 71.2245551379515 16.8481220791871 2.274247 0.217081 9.073141 71edo 1196.21666762229 3 3
376zpi 71.3758515821207 16.8124088665948 1.790062 0.175495 9.451423 71edo 1193.68102952823 3 3
377zpi 71.5145608508210 16.7797996061696 0.854020 0.062425 6.853833 72edo 1208.14557164421 2 2
378zpi 71.6470716535280 16.7487654736676 1.218607 0.116828 9.442741 72edo 1205.91111410407 3 3
379zpi 71.7560971542458 16.7233175658996 0.256297 0.008806 3.153863 72edo 1204.07886474477 5 5
380zpi 71.9506065993786 16.6781081733140 9.157547 1.625363 19.964746 72edo 1200.82378847861 18 13
381zpi 72.1424720620339 16.6337521532135 0.568366 0.026895 4.371780 72edo 1197.63015503137 4 4
382zpi 72.2612976521753 16.6063998155156 1.591014 0.154252 9.435978 72edo 1195.66078671712 2 2
383zpi 72.4050722040381 16.5734245332757 1.378597 0.121775 8.414491 72edo 1193.28656639585 2 2
384zpi 72.5434989197956 16.5417993048106 1.365896 0.116955 8.128764 73edo 1207.55134925117 3 3
385zpi 72.6913620787328 16.5081512532434 2.069179 0.213104 9.989699 73edo 1205.09504148677 2 2
386zpi 72.8328565155552 16.4760804039549 1.354260 0.101953 7.070388 73edo 1202.75386948871 2 2
387zpi 72.9834022742365 16.4420945393992 3.384462 0.369161 10.613641 73edo 1200.27290137614 4 4
388zpi 73.1619269059893 16.4019736869692 4.830055 0.632086 13.094496 73edo 1197.34407914875 6 6
389zpi 73.3314324495087 16.3640605387907 1.173271 0.090871 7.385408 73edo 1194.57641933172 3 3
390zpi 73.4585949530531 16.3357330856507 0.827183 0.067330 7.887485 73edo 1192.50851525250 3 3
391zpi 73.5655334702364 16.3119866518130 0.320034 0.014688 4.262226 74edo 1207.08701223416 3 3
392zpi 73.7144284330240 16.2790382494833 3.004529 0.361419 12.302372 74edo 1204.64883046177 3 3
393zpi 73.8771928900762 16.2431726633890 2.839722 0.270670 9.078038 74edo 1201.99477709078 4 4
394zpi 74.0521612366564 16.2047937556479 5.084321 0.702774 14.386154 74edo 1199.15473791794 6 6
395zpi 74.2147369197434 16.1692953422134 0.391932 0.016691 3.946984 74edo 1196.52785532379 2 2
396zpi 74.3285866246222 16.1445287001124 1.443177 0.130558 8.850894 74edo 1194.69512380831 2 2
397zpi 74.4882852086261 16.1099157624457 2.747746 0.330750 12.036527 74edo 1192.13376642099 3 3
398zpi 74.6433275528327 16.0764537078098 0.873212 0.066344 7.361838 75edo 1205.73402808574 2 2
399zpi 74.7441178404315 16.0547750735628 0.307571 0.012733 3.850773 75edo 1204.10813051721 2 2
400zpi 74.9007628151052 16.0211986487005 4.358478 0.550005 13.117097 75edo 1201.58989865254 6 6
401zpi 75.0911321481303 15.9805820697015 5.998297 0.842181 14.552090 75edo 1198.54365522761 6 6
402zpi 75.2612611711622 15.9444577638808 0.572557 0.029312 4.786227 75edo 1195.83433229106 3 3
403zpi 75.3808887262937 15.9191543145262 1.337748 0.129425 9.544016 75edo 1193.93657358947 3 3
404zpi 75.5122220721720 15.8914671965696 0.738349 0.050636 6.490475 76edo 1207.75150693929 3 3
405zpi 75.6376633907824 15.8651119852843 1.354251 0.112965 8.059914 76edo 1205.74851088160 3 3
406zpi 75.8007816510126 15.8309713153726 3.926150 0.479654 12.179661 76edo 1203.15381996832 3 3
407zpi 75.9681689808373 15.7960895477512 2.689769 0.264899 9.536759 76edo 1200.50280562909 7 7
408zpi 76.1114927958241 15.7663442920389 1.711441 0.135203 7.495946 76edo 1198.24216619496 3 3
409zpi 76.2717010552623 15.7332271785907 3.742128 0.486725 13.407696 76edo 1195.72526557290 3 3
410zpi 76.4276103698611 15.7011320148931 0.523186 0.027458 4.920939 76edo 1193.28603313187 3 3
411zpi 76.5477944922614 15.6764803997235 1.300208 0.121763 9.209536 77edo 1207.08899077871 2 2
412zpi 76.6855199646880 15.6483257928299 1.182001 0.099097 8.096155 77edo 1204.92108604790 3 3
413zpi 76.8060082574535 15.6237777125144 1.019746 0.065585 6.110825 77edo 1203.03088386361 4 4
414zpi 76.9918536925042 15.5860645308353 8.194847 1.311364 17.029289 77edo 1200.12696887432 10 10
415zpi 77.1813418732178 15.5477991296288 1.603907 0.130517 7.918559 77edo 1197.18053298142 5 5
416zpi 77.3075234899720 15.5224219561976 0.794528 0.056615 6.835394 77edo 1195.22649062721 2 2
417zpi 77.4207006818829 15.4997305556653 0.723707 0.047819 6.297179 77edo 1193.47925278623 2 2
418zpi 77.5723307254445 15.4694333504973 2.803915 0.339393 12.295289 78edo 1206.61580133879 3 3
419zpi 77.7258401424200 15.4388810439513 1.294381 0.100514 7.435390 78edo 1204.23272142820 3 3
420zpi 77.8513100657273 15.4139988008793 1.408632 0.106005 7.212108 78edo 1202.29190646858 2 2
421zpi 78.0204348042082 15.3805859069024 5.366587 0.739351 14.204322 78edo 1199.68570073838 8 8
422zpi 78.1857563587753 15.3480640961442 1.414667 0.097825 6.548459 78edo 1197.14899949925 4 4
423zpi 78.3353237026458 15.3187597022653 3.064988 0.382959 12.963711 78edo 1194.86325677669 3 3
424zpi 78.4887358330619 15.2888180356515 0.431178 0.023763 5.254014 78edo 1192.52780678081 3 3
425zpi 78.5858996107763 15.2699149076795 0.479283 0.028976 5.794975 79edo 1206.32327770668 3 3
426zpi 78.7151381217965 15.2448439859590 1.748141 0.159534 9.103181 79edo 1204.34267489076 3 3
427zpi 78.8924096211210 15.2105887722656 5.849779 0.795605 13.863351 79edo 1201.63651300898 6 6
428zpi 79.0687479122993 15.1766662769342 2.722141 0.261034 9.363662 79edo 1198.95663587780 4 4
429zpi 79.2152162342159 15.1486047384123 1.628410 0.143507 8.615561 79edo 1196.73977433457 2 2
430zpi 79.3434660437992 15.1241187187055 0.917945 0.062792 6.526359 79edo 1194.80537877774 2 2
431zpi 79.4866744480951 15.0968701147964 2.263190 0.253621 11.316106 79edo 1192.65273906892 2 2
432zpi 79.6289042506835 15.0699047198015 0.904841 0.060250 6.339879 80edo 1205.59237758412 2 2
433zpi 79.7673565128922 15.0437478745588 2.130820 0.226882 10.737443 80edo 1203.49982996471 2 2
434zpi 79.8950827192898 15.0196978231587 0.771180 0.040062 4.909140 80edo 1201.57582585269 6 6
435zpi 80.0731374302484 14.9862992572924 7.873146 1.247325 17.087322 80edo 1198.90394058339 12 12
436zpi 80.2634489253429 14.9507654613270 1.557714 0.138044 9.248964 80edo 1196.06123690616 3 3
437zpi 80.3755066543290 14.9299214393863 0.106899 0.002766 2.422520 80edo 1194.39371515090 3 3
438zpi 80.4974398945796 14.9073063885204 1.627135 0.176224 11.371118 80edo 1192.58451108163 2 2
439zpi 80.6352047979840 14.8818373191507 1.033019 0.073915 6.868057 81edo 1205.42882285121 3 3
440zpi 80.7742328590530 14.8562228018177 2.462392 0.239179 9.615000 81edo 1203.35404694724 7 7
441zpi 80.9475780903969 14.8244089361132 5.190285 0.684638 13.540400 81edo 1200.77712382517 8 8
442zpi 81.1108927475989 14.7945603771637 1.314509 0.091864 6.704489 81edo 1198.35939055026 2 2
443zpi 81.2408796341384 14.7708888112007 1.827447 0.165067 8.848609 81edo 1196.44199370726 3 3
444zpi 81.3918850299833 14.7434845569425 2.359500 0.248907 10.502460 81edo 1194.22224911234 3 3
445zpi 81.5433619576653 14.7160967023043 1.360127 0.124065 9.142115 82edo 1206.71992958895 2 2
446zpi 81.6620757089145 14.6947036256758 0.369969 0.017808 4.570509 82edo 1204.96569730542 2 2
447zpi 81.7755524737403 14.6743123549712 1.370768 0.111440 8.145225 82edo 1203.29361310764 5 5
448zpi 81.9541455954050 14.6423343356444 6.653983 0.941321 14.718732 82edo 1200.67141552284 8 8
449zpi 82.1355049107953 14.6100033268594 3.038726 0.305308 9.988691 82edo 1198.02027280247 4 4
450zpi 82.2826146884938 14.5838826894718 1.303079 0.105794 7.954839 82edo 1195.87838053668 3 3
451zpi 82.4115108816555 14.5610726846547 0.902066 0.073371 8.101799 82edo 1194.00796014169 2 2
452zpi 82.5151754625405 14.5427794738771 0.298354 0.012312 3.917857 83edo 1207.05069633180 3 3
453zpi 82.6785590247544 14.5140410543526 4.375766 0.643829 16.646686 83edo 1204.66540751127 3 3
454zpi 82.8278292655440 14.4878842128390 0.146984 0.003348 2.142223 83edo 1202.49438966564 3 3
455zpi 82.9665108106434 14.4636671866169 3.945350 0.488384 13.262232 83edo 1200.48437648920 2 2
456zpi 83.1333405254325 14.4346418947629 3.090164 0.310674 9.908618 83edo 1198.07527726532 3 3
457zpi 83.2905538585209 14.4073960900578 2.490879 0.258979 10.480515 83edo 1195.81387547479 3 3
458zpi 83.4312979599523 14.3830915896335 0.815158 0.054219 6.420203 83edo 1193.79660193958 3 3
459zpi 83.5573472133010 14.3613941804148 1.228793 0.113021 9.218996 84edo 1206.35711115484 2 2
460zpi 83.6781708517361 14.3406576384922 0.605000 0.034796 5.522098 84edo 1204.61524163334 3 3
461zpi 83.8095294897295 14.3181808477645 2.363508 0.223289 9.560991 84edo 1202.72719121222 6 6
462zpi 83.9972142607288 14.2861880666087 8.020965 1.241945 16.733121 84edo 1200.03979759513 10 10
463zpi 84.1810345348146 14.2549923106934 0.828439 0.052089 6.183646 84edo 1197.41935409825 5 5
464zpi 84.2791218776957 14.2384017923373 0.463854 0.023908 4.948211 84edo 1196.02575055634 2 2
465zpi 84.4209783904770 14.2144763408163 2.579244 0.305305 12.332303 84edo 1194.01601262857 2 2
466zpi 84.5727690925120 14.1889642833777 1.281883 0.102624 7.838415 85edo 1206.06196408710 3 3
467zpi 84.6989261481618 14.1678301552592 1.168507 0.088254 7.369704 85edo 1204.26556319703 2 2
468zpi 84.8387455861236 14.1444807052437 2.378761 0.233030 9.792294 85edo 1202.28085994571 2 2
469zpi 84.9907191841138 14.1191886775362 3.040681 0.294248 9.556533 85edo 1200.13103759058 4 4
470zpi 85.1600591865025 14.0911127993931 4.906260 0.623964 13.123875 85edo 1197.74458794841 4 4
471zpi 85.3263373591518 14.0636529955460 1.330804 0.107298 8.027956 85edo 1195.41050462141 3 3
472zpi 85.4479286155119 14.0436406059603 0.622383 0.041192 6.460287 85edo 1193.70945150663 3 3
473zpi 85.5577426358391 14.0256154852937 0.680715 0.046001 6.613111 86edo 1206.20293173526 3 3
474zpi 85.6881846344458 14.0042644749602 1.790524 0.161012 9.034766 86edo 1204.36674484658 3 3
475zpi 85.8556112434555 13.9769548270670 4.819222 0.605145 12.913176 86edo 1202.01811512776 4 4
476zpi 86.0185833426901 13.9504738786421 2.356494 0.199805 8.289753 86edo 1199.74075356322 4 4
477zpi 86.1719082067799 13.9256519319551 3.134291 0.367384 12.446285 86edo 1197.60606614814 2 2
478zpi 86.3088056191207 13.9035639688444 0.253351 0.008526 3.203641 86edo 1195.70650132062 2 2
479zpi 86.4368641964703 13.8829654587238 2.350850 0.263708 11.772217 86edo 1193.93502945025 3 3
480zpi 86.5931525946665 13.8579086687960 1.803640 0.178677 10.101224 87edo 1205.63805418525 2 2
481zpi 86.7202562357028 13.8375974897772 0.476043 0.024825 5.030629 87edo 1203.87098161062 2 2
482zpi 86.8256342206637 13.8208031622349 1.119327 0.078650 7.019644 87edo 1202.40987511444 5 5
483zpi 87.0139255957575 13.7908960178956 8.869041 1.439474 18.061741 87edo 1199.80795355692 16 14
484zpi 87.1965663926128 13.7620097859916 0.877962 0.048924 5.388403 87edo 1197.29485138127 6 6
485zpi 87.3218575170508 13.7422637827612 1.741602 0.183518 11.136196 87edo 1195.57694910022 3 3
486zpi 87.4443799955681 13.7230088435737 0.194775 0.006560 3.216962 87edo 1193.90176939091 2 2
487zpi 87.5691288114243 13.7034593844612 1.876621 0.198278 11.135554 88edo 1205.90442583258 3 3
488zpi 87.7109615821153 13.6813002429184 1.621900 0.129422 7.840988 88edo 1203.95442137682 3 3
489zpi 87.8648076096176 13.6573451037597 3.782239 0.429534 11.574783 88edo 1201.84636913086 3 3
490zpi 88.0268056557394 13.6322111322889 2.882655 0.288736 10.092415 88edo 1199.63457964142 2 2
491zpi 88.1643662840062 13.6109411384460 1.326416 0.090294 6.618730 88edo 1197.76282018325 3 3
492zpi 88.3173436382352 13.5873651829411 3.773813 0.484675 13.636687 88edo 1195.68813609882 3 3
493zpi 88.4761842586863 13.5629718896042 0.704892 0.046512 6.560506 88edo 1193.54152628517 3 3
494zpi 88.5752259138131 13.5478062586896 0.382486 0.019338 4.906073 89edo 1205.75475702337 2 2
495zpi 88.7060807418766 13.5278212041838 1.951582 0.199680 10.633332 89edo 1203.97608717236 3 3
496zpi 88.8457078984354 13.5065613003139 1.918237 0.149892 7.697873 89edo 1202.08395572794 4 4
497zpi 89.0229355804124 13.4796723133902 7.567368 1.124501 16.042570 89edo 1199.69083589172 12 12
498zpi 89.2025274599488 13.4525336239916 1.260825 0.092397 7.330063 89edo 1197.27549253526 5 5
499zpi 89.3167356693915 13.4353320349933 0.657642 0.041569 6.196673 89edo 1195.74455111440 2 2
500zpi 89.4323288878106 13.4179665778955 1.054139 0.081731 7.730457 89edo 1194.19902543270 2 2
501zpi 89.5791082196215 13.3959806460448 2.510371 0.272447 11.129144 90edo 1205.63825814403 3 3
502zpi 89.7298880962393 13.3734703726917 1.741478 0.155030 8.944467 90edo 1203.61233354226 3 3
503zpi 89.8518045575862 13.3553244245742 0.928221 0.055142 5.787391 90edo 1201.97919821168 2 2
504zpi 90.0062264417492 13.3324109613308 4.836804 0.601309 13.038597 90edo 1199.91698651977 8 8
505zpi 90.1796541846535 13.3067709213306 3.669038 0.410568 11.609650 90edo 1197.60938291976 7 7
506zpi 90.3251591384145 13.2853350212328 0.811089 0.048165 5.789120 90edo 1195.68015191095 3 3
507zpi 90.4537185341497 13.2664529379956 1.709831 0.176109 10.663155 90edo 1193.98076441961 3 3
508zpi 90.5894960022795 13.2465688954689 0.641934 0.044418 6.970760 91edo 1205.43776948767 3 3
509zpi 90.6786560970130 13.2335441618827 0.227165 0.007987 3.405341 91edo 1204.25251873133 3 3
510zpi 90.8518735990036 13.2083131856640 6.648203 0.968737 16.378662 91edo 1201.95649989543 10 10
511zpi 91.0328000928304 13.1820618367918 3.423590 0.354863 10.647311 91edo 1199.56762714806 6 6
512zpi 91.1727976715418 13.1618205281262 0.976811 0.060904 6.099743 91edo 1197.72566805949 2 2
513zpi 91.3021994909467 13.1431663934776 1.961985 0.193810 10.099831 91edo 1196.02814180646 2 2
514zpi 91.4409567666287 13.1232222674855 1.289242 0.100510 7.725611 91edo 1194.21322634118 2 2
515zpi 91.5802415260221 13.1032631057107 1.908353 0.191276 10.278871 92edo 1205.50020572538 2 2
516zpi 91.7126252326614 13.0843490408848 0.869170 0.056352 6.370472 92edo 1203.76011176140 2 2
517zpi 91.8361308093051 13.0667525888233 1.754394 0.147535 8.486803 92edo 1202.14123817174 4 4
518zpi 91.9931695397655 13.0444467345076 4.508734 0.510415 11.623810 92edo 1200.08909957470 6 6
519zpi 92.1708900818658 13.0192949089910 5.281566 0.695756 14.404527 92edo 1197.77513162717 6 6
520zpi 92.3342529805714 12.9962604479239 0.383441 0.018010 4.613984 92edo 1195.65596120900 3 3
521zpi 92.4270379947700 12.9832138520754 0.535055 0.034155 6.364975 92edo 1194.45567439094 3 3
522zpi 92.5485214107059 12.9661714926240 1.255854 0.106057 8.588547 93edo 1205.85394881404 3 3
523zpi 92.6980731751190 12.9452528935854 2.730314 0.293559 11.096221 93edo 1203.90851910344 3 3
524zpi 92.8391939307154 12.9255753867870 1.664343 0.119891 7.100465 93edo 1202.07851097119 4 4
525zpi 93.0023742551642 12.9028964003397 5.574357 0.766360 15.018535 93edo 1199.96936523159 8 8
526zpi 93.1602697555180 12.8810275361931 0.595899 0.027696 4.523645 93edo 1197.93556086595 2 2
527zpi 93.2796903326186 12.8645367037671 2.032861 0.194180 9.821653 93edo 1196.40191345034 3 3
528zpi 93.4362315518940 12.8429837127317 2.731701 0.318591 12.571663 93edo 1194.39748528405 3 3
529zpi 93.5740744564235 12.8240648595336 0.258231 0.009741 3.662702 94edo 1205.46209679616 2 2
530zpi 93.6854345193241 12.8088214155903 1.291393 0.119749 9.718627 94edo 1204.02921306549 2 2
531zpi 93.8025800637724 12.7928250927018 0.842662 0.047409 5.545071 94edo 1202.52555871397 5 5
532zpi 93.9836761074943 12.7681747480009 8.806201 1.394050 17.832744 94edo 1200.20842631208 24 15
533zpi 94.1648405870378 12.7436099558925 1.282446 0.085240 6.606952 94edo 1197.89933585389 4 4
534zpi 94.2858491487996 12.7272545226399 1.337497 0.111690 8.442933 94edo 1196.36192512815 3 3
535zpi 94.4167459401577 12.7096098054531 1.151479 0.096258 8.489351 94edo 1194.70332171259 2 2
536zpi 94.5333759131018 12.6939294022788 0.678509 0.040309 5.861983 95edo 1205.92329321649 3 3
537zpi 94.6733109719731 12.6751667146747 2.743160 0.296311 11.302002 95edo 1204.14083789410 3 3
538zpi 94.8311282999367 12.6540727872032 2.819175 0.291575 10.691332 95edo 1202.13691478430 3 3
539zpi 94.9618651913617 12.6366515398769 0.953018 0.052485 5.397530 95edo 1200.48189628830 4 4
540zpi 95.1168472671926 12.6160615545749 5.316969 0.706449 14.332919 95edo 1198.52584768461 7 7
541zpi 95.2826493877981 12.5941082422680 1.758458 0.142811 8.176292 95edo 1196.44028301546 3 3
542zpi 95.4156589931259 12.5765520320564 1.337395 0.116246 8.908544 95edo 1194.77244304536 3 3
543zpi 95.5361940130413 12.5606845907656 0.585756 0.034891 5.892027 96edo 1205.82572071350 2 2
544zpi 95.6568645286242 12.5448393684377 1.326531 0.116452 9.023393 96edo 1204.30457937002 3 3
545zpi 95.7816928430132 12.5284901987148 1.342276 0.093325 6.949461 96edo 1202.73505907662 4 4
546zpi 95.9543940692998 12.5059410946136 7.327322 1.045052 15.480737 96edo 1200.57034508290 6 6
547zpi 96.1324479947499 12.4827779280679 2.431095 0.224252 9.548447 96edo 1198.34668109452 6 6
548zpi 96.2640257554220 12.4657159368011 0.763738 0.049355 6.478779 96edo 1196.70872993291 2 2
549zpi 96.3664598543133 12.4524653267761 0.635305 0.036834 5.762332 96edo 1195.43667137051 2 2
550zpi 96.5200797471850 12.4326461721039 3.549272 0.471966 14.790729 97edo 1205.96667869407 3 3
551zpi 96.6691581811906 12.4134731550139 0.404643 0.018066 4.384973 97edo 1204.10689603635 2 2
552zpi 96.7709136556901 12.4004202778284 1.100851 0.080757 7.508997 97edo 1202.84076694935 2 2
553zpi 96.9251251346284 12.3806907479687 4.250052 0.495809 12.303755 97edo 1200.92700255296 5 5
554zpi 97.0894142430262 12.3597408569822 3.739770 0.380211 10.364917 97edo 1198.89486312727 4 4
555zpi 97.2477095492293 12.3396222447021 3.012654 0.318839 11.069984 97edo 1196.94335773610 4 4
556zpi 97.3932499632846 12.3211824274514 0.907034 0.066183 7.445945 97edo 1195.15469546278 3 3
557zpi 97.5007120641918 12.3076024225336 0.434288 0.023978 5.483463 98edo 1206.14503740829 3 3
558zpi 97.6100413764871 12.2938171429673 0.992912 0.074301 7.662658 98edo 1204.79408001079 3 3
559zpi 97.7583854312732 12.2751618155931 3.322076 0.357937 11.284386 98edo 1202.96585792813 6 6
560zpi 97.9232407224070 12.2544963907165 4.310922 0.481970 11.590393 98edo 1200.94064629022 4 4
561zpi 98.0791975025252 12.2350103850422 2.326577 0.205633 9.000394 98edo 1199.03101773413 4 4
562zpi 98.2125880281967 12.2183930195942 1.519368 0.116527 7.702886 98edo 1197.40251592023 2 2
563zpi 98.3540669893026 12.2008172791728 2.366811 0.251909 11.247147 98edo 1195.68009335893 3 3
564zpi 98.4863571145854 12.1844287387322 0.614799 0.032620 5.239148 98edo 1194.07401639576 3 3
565zpi 98.6209462564991 12.1678005084130 2.305330 0.266174 12.639964 99edo 1204.61225033289 2 2
566zpi 98.7500793162469 12.1518889737496 0.294291 0.010980 3.660426 99edo 1203.03700840121 4 4
567zpi 98.8605032450577 12.1383157136618 1.817305 0.151623 8.832735 99edo 1201.69325565252 8 8
568zpi 99.0473345956631 12.1154194093028 9.406495 1.510412 18.536483 99edo 1199.42652152097 12 12
569zpi 99.2313264966420 12.0929553434984 0.491001 0.022527 4.564498 99edo 1197.20257900634 5 5
570zpi 99.3276816516566 12.0812242875900 0.783378 0.054725 7.097350 99edo 1196.04120447141 3 3
571zpi 99.4575461197234 12.0654494989800 1.521422 0.145458 9.983865 99edo 1194.47950039902 2 2
572zpi 99.5827149010666 12.0502840396767 0.815515 0.050203 6.137922 100edo 1205.02840396767 3 3
573zpi 99.7229394185531 12.0333396407762 2.909787 0.316222 11.492782 100edo 1203.33396407762 3 3
574zpi 99.8687655581762 12.0157688271512 2.104342 0.168871 8.081654 100edo 1201.57688271512 3 3
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Table of the first 10 000 ZPIs

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