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| (26 intermediate revisions by the same user not shown) |
| Line 16: |
Line 16: |
| === Notable Local Maxima of the Riemann Zeta Function === | | === Notable Local Maxima of the Riemann Zeta Function === |
| {|class="wikitable sortable" | | {|class="wikitable sortable" |
| |+ style="font-size: 105%;" | Zeta Peak Indexes at sigma = 1, filtered with (height ≥ 2.5 and cents ≥ 40.0) or (height ≥ 2.8 and cents ≥ 12.0) or (height ≥ 3.25 and cents ≥ 10.0) or (height ≥ 3.6 and cents ≥ 6.0) | | |+ style="font-size: 105%;" | |
| |- | | |- |
| !colspan="3"|Tuning | | !colspan="3"|Tuning |
| Line 175: |
Line 175: |
| |16 | | |16 |
| |10 | | |10 |
| | |- |
| | |[[196zpi (σ = 1)]] |
| | |43.0234004818 |
| | |27.8917981043 |
| | |2.78019 |
| | |[[43edo]] |
| | |1199.34731849 |
| | |8 |
| | |8 |
| |- | | |- |
| |[[214zpi (σ = 1)]] | | |[[214zpi (σ = 1)]] |
| Line 310: |
Line 319: |
| |24 | | |24 |
| |15 | | |15 |
| |-
| |
| |[[546zpi (σ = 1)]]
| |
| |95.9558568688
| |
| |12.5057504477
| |
| |2.93099
| |
| |[[96edo]]
| |
| |1200.55204298
| |
| |6
| |
| |6
| |
| |- | | |- |
| |[[568zpi (σ = 1)]] | | |[[568zpi (σ = 1)]] |
| Line 400: |
Line 400: |
| |18 | | |18 |
| |18 | | |18 |
| |}
| |
|
| |
| {{todo|use sigma 1.0|inline=1|comment=instead of sigma 1/2}}
| |
|
| |
| === Notable Local Maxima of the Riemann Zeta Function after removing the prime 2 from the zeta product ===
| |
|
| |
| {|class="wikitable sortable"
| |
| !colspan="3"|Tuning
| |
| !colspan="3"|Strength
| |
| !colspan="2"|Closest EDT
| |
| !colspan="2"|No-2 Integer limit
| |
| |-
| |
| !No-2 ZPI analog
| |
| !Steps per octave
| |
| !Cents
| |
| !Height
| |
| !Integral
| |
| !Gap
| |
| !EDT
| |
| !Tritave
| |
| !Consistent
| |
| !Distinct
| |
| |-
| |
| |[[no-2 93zpi analog]]
| |
| |24.5738316304204
| |
| |48.8324335434323
| |
| |4.665720
| |
| |0.766618
| |
| |13.261693
| |
| |[[39edt]]
| |
| |1904.46490819386
| |
| |15
| |
| |15
| |
| |-
| |
| |[[no-2 151zpi analog]]
| |
| |35.3059427335609
| |
| |33.9886123153798
| |
| |4.738265
| |
| |0.709543
| |
| |13.081926
| |
| |[[56edt]]
| |
| |1903.36228966127
| |
| |15
| |
| |15
| |
| |-
| |
| |[[no-2 199zpi analog]]
| |
| |43.5176229677494
| |
| |27.5750355411028
| |
| |4.824506
| |
| |0.678480
| |
| |12.871286
| |
| |[[69edt]]
| |
| |1902.67745233609
| |
| |9
| |
| |9
| |
| |-
| |
| |[[no-2 207zpi analog]]
| |
| |44.8152489207676
| |
| |26.7766001282638
| |
| |4.819120
| |
| |0.732965
| |
| |14.719415
| |
| |[[71edt]]
| |
| |1901.13860910673
| |
| |17
| |
| |17
| |
| |-
| |
| |[[no-2 222zpi analog]]
| |
| |47.3521317910583
| |
| |25.3420480686067
| |
| |5.059485
| |
| |0.721113
| |
| |13.412098
| |
| |[[75edt]]
| |
| |1900.65360514550
| |
| |15
| |
| |15
| |
| |-
| |
| |[[no-2 233zpi analog]]
| |
| |49.1685275266548
| |
| |24.4058559481869
| |
| |4.790248
| |
| |0.736865
| |
| |15.624024
| |
| |[[78edt]]
| |
| |1903.65676395858
| |
| |21
| |
| |21
| |
| |-
| |
| |[[no-2 249zpi analog]]
| |
| |51.6860577447882
| |
| |23.2170928168922
| |
| |4.848916
| |
| |0.664134
| |
| |13.043858
| |
| |[[82edt]]
| |
| |1903.80161098516
| |
| |17
| |
| |17
| |
| |-
| |
| |[[no-2 273zpi analog]]
| |
| |55.5353711835277
| |
| |21.6078505360910
| |
| |5.441186
| |
| |0.771944
| |
| |14.061502
| |
| |[[88edt]]
| |
| |1901.49084717601
| |
| |11
| |
| |11
| |
| |-
| |
| |[[no-2 317zpi analog]]
| |
| |62.4092182976906
| |
| |19.2279287055965
| |
| |5.154539
| |
| |0.705887
| |
| |14.235540
| |
| |[[99edt]]
| |
| |1903.56494185405
| |
| |25
| |
| |23
| |
| |-
| |
| |[[no-2 326zpi analog]]
| |
| |63.7619933650274
| |
| |18.8199887843874
| |
| |4.961196
| |
| |0.662970
| |
| |13.437518
| |
| |[[101edt]]
| |
| |1900.81886722313
| |
| |9
| |
| |9
| |
| |-
| |
| |[[no-2 342zpi analog]]
| |
| |66.2581615380500
| |
| |18.1109764011620
| |
| |5.073625
| |
| |0.677884
| |
| |13.529076
| |
| |[[105edt]]
| |
| |1901.65252212201
| |
| |17
| |
| |17
| |
| |-
| |
| |[[no-2 363zpi analog]]
| |
| |69.4221749409126
| |
| |17.2855431426825
| |
| |5.247825
| |
| |0.705262
| |
| |14.276498
| |
| |[[110edt]]
| |
| |1901.40974569508
| |
| |23
| |
| |23
| |
| |-
| |
| |[[no-2 453zpi analog]]
| |
| |82.6705208991009
| |
| |14.5154522670130
| |
| |6.410342
| |
| |0.925687
| |
| |16.646686
| |
| |[[131edt]]
| |
| |1901.52424697870
| |
| |27
| |
| |27
| |
| |-
| |
| |[[no-2 492zpi analog]]
| |
| |88.3242305963095
| |
| |13.5863057271867
| |
| |5.480169
| |
| |0.696272
| |
| |13.636687
| |
| |[[140edt]]
| |
| |1902.08280180614
| |
| |9
| |
| |9
| |
| |-
| |
| |[[no-2 510zpi analog]]
| |
| |90.8297848520406
| |
| |13.2115252937654
| |
| |5.712975
| |
| |0.810755
| |
| |16.378662
| |
| |[[144edt]]
| |
| |1902.45964230221
| |
| |39
| |
| |27
| |
| |-
| |
| |[[no-2 550zpi analog]]
| |
| |96.5193707902430
| |
| |12.4327374927449
| |
| |6.047703
| |
| |0.795582
| |
| |14.790729
| |
| |[[153edt]]
| |
| |1902.20883638997
| |
| |15
| |
| |15
| |
| |-
| |
| |[[no-2 627zpi analog]]
| |
| |107.244707551072
| |
| |11.1893633485693
| |
| |6.217266
| |
| |0.828658
| |
| |15.375247
| |
| |[[170edt]]
| |
| |1902.19176925679
| |
| |15
| |
| |15
| |
| |-
| |
| |[[no-2 687zpi analog]]
| |
| |115.410497106759
| |
| |10.3976677172610
| |
| |5.985004
| |
| |0.754232
| |
| |14.631506
| |
| |[[183edt]]
| |
| |1902.77319225877
| |
| |15
| |
| |15
| |
| |-
| |
| |[[no-2 697zpi analog]]
| |
| |116.733331758968
| |
| |10.2798402300191
| |
| |5.835644
| |
| |0.746180
| |
| |15.041001
| |
| |[[185edt]]
| |
| |1901.77044255353
| |
| |29
| |
| |29
| |
| |-
| |
| |[[no-2 777zpi analog]]
| |
| |127.487421022497
| |
| |9.41269334947362
| |
| |6.134922
| |
| |0.758067
| |
| |14.474624
| |
| |[[202edt]]
| |
| |1901.36405659367
| |
| |17
| |
| |17
| |
| |-
| |
| |[[no-2 810zpi analog]]
| |
| |131.820548689719
| |
| |9.10328482112888
| |
| |6.140639
| |
| |0.820704
| |
| |16.484428
| |
| |[[209edt]]
| |
| |1902.58652761594
| |
| |21
| |
| |21
| |
| |-
| |
| |[[no-2 829zpi analog]]
| |
| |134.375301622234
| |
| |8.93021251311149
| |
| |5.870928
| |
| |0.707721
| |
| |14.252150
| |
| |[[213edt]]
| |
| |1902.13526529275
| |
| |29
| |
| |29
| |
| |-
| |
| |[[no-2 839zpi analog]]
| |
| |135.657235331861
| |
| |8.84582379306507
| |
| |5.733350
| |
| |0.672634
| |
| |13.637550
| |
| |[[215edt]]
| |
| |1901.85211550899
| |
| |15
| |
| |15
| |
| |-
| |
| |[[no-2 858zpi analog]]
| |
| |138.196733558228
| |
| |8.68327325185579
| |
| |5.998270
| |
| |0.762777
| |
| |15.383590
| |
| |[[219edt]]
| |
| |1901.63684215642
| |
| |11
| |
| |11
| |
| |-
| |
| |[[no-2 985zpi analog]]
| |
| |154.604938100947
| |
| |7.76171844664157
| |
| |7.104335
| |
| |0.924588
| |
| |16.674411
| |
| |[[245edt]]
| |
| |1901.62101942718
| |
| |21
| |
| |21
| |
| |} | | |} |
|
| |
|
| Line 702: |
Line 405: |
|
| |
|
| {|class="wikitable sortable" | | {|class="wikitable sortable" |
| | |+ style="font-size: 105%;" | Zeta Peak Indexes at sigma = 1, filtered with (height ≥ 2.5 and cents ≥ 40.0) or (height ≥ 2.6 and cents ≥ 15.0) or (height ≥ 2.8 and cents ≥ 12.0) or (height ≥ 3.1 and cents ≥ 6.0) |
| !colspan="3"|Tuning | | !colspan="3"|Tuning |
| !colspan="3"|Strength | | !colspan="1"|Strength |
| !colspan="2"|Closest EDO | | !colspan="2"|Closest EDO |
| !colspan="2"|No-3 Integer limit | | !colspan="2"|No-3 Integer limit |
| Line 711: |
Line 415: |
| !Cents | | !Cents |
| !Height | | !Height |
| !Integral
| |
| !Gap
| |
| !EDO | | !EDO |
| !Octave | | !Octave |
| !Consistent | | !Consistent |
| !Distinct | | !Distinct |
| |-
| |
| |[[no-3 12zpi (σ = 1)]]
| |
| |6.02468349150
| |
| |199.180587942
| |
| |2.48564
| |
| |[[6edo]]
| |
| |1195.08352765
| |
| |16
| |
| |8
| |
| |- | | |- |
| |[[no-3 51zpi (σ = 1)]] | | |[[no-3 51zpi (σ = 1)]] |
| Line 753: |
Line 446: |
| |14 | | |14 |
| |11 | | |11 |
| |-
| |
| |[[no-3 111zpi (σ = 1)]]
| |
| |28.0346744276
| |
| |42.8041353966
| |
| |2.49236
| |
| |[[28edo]]
| |
| |1198.51579110
| |
| |16
| |
| |8
| |
| |- | | |- |
| |[[no-3 127zpi (σ = 1)]] | | |[[no-3 127zpi (σ = 1)]] |
| Line 770: |
Line 454: |
| |1199.43201143 | | |1199.43201143 |
| |11 | | |11 |
| |11
| |
| |-
| |
| |[[no-3 149zpi (σ = 1)]]
| |
| |34.9367495147
| |
| |34.3477861183
| |
| |2.53345
| |
| |[[35edo]]
| |
| |1202.17251414
| |
| |14
| |
| |11 | | |11 |
| |- | | |- |
| Line 807: |
Line 482: |
| |10 | | |10 |
| |10 | | |10 |
| |-
| |
| |[[no-3 238zpi (σ = 1)]]
| |
| |49.9663117440
| |
| |24.0161812652
| |
| |2.59814
| |
| |[[50edo]]
| |
| |1200.80906326
| |
| |28
| |
| |16
| |
| |-
| |
| |[[no-3 251zpi (σ = 1)]]
| |
| |52.0419540686
| |
| |23.0583194170
| |
| |2.56485
| |
| |[[52edo]]
| |
| |1199.03260969
| |
| |11
| |
| |11
| |
| |- | | |- |
| |[[no-3 276zpi (σ = 1)]] | | |[[no-3 276zpi (σ = 1)]] |
| Line 834: |
Line 491: |
| |20 | | |20 |
| |19 | | |19 |
| |-
| |
| |[[no-3 282zpi (σ = 1)]]
| |
| |56.9799014512
| |
| |21.0600574841
| |
| |2.53468
| |
| |[[57edo]]
| |
| |1200.42327659
| |
| |22
| |
| |16
| |
| |-
| |
| |[[no-3 295zpi (σ = 1)]]
| |
| |58.9936140007
| |
| |20.3411847253
| |
| |2.50448
| |
| |[[59edo]]
| |
| |1200.12989879
| |
| |11
| |
| |11
| |
| |-
| |
| |[[no-3 314zpi (σ = 1)]]
| |
| |61.9643633843
| |
| |19.3659699618
| |
| |2.51765
| |
| |[[62edo]]
| |
| |1200.69013763
| |
| |10
| |
| |10
| |
| |- | | |- |
| |[[no-3 340zpi (σ = 1)]] | | |[[no-3 340zpi (σ = 1)]] |
| Line 879: |
Line 509: |
| |11 | | |11 |
| |11 | | |11 |
| |-
| |
| |[[no-3 380zpi (σ = 1)]]
| |
| |71.9740049640
| |
| |16.6726862094
| |
| |2.52051
| |
| |[[72edo]]
| |
| |1200.43340708
| |
| |17
| |
| |17
| |
| |- | | |- |
| |[[no-3 394zpi (σ = 1)]] | | |[[no-3 394zpi (σ = 1)]] |
| Line 906: |
Line 527: |
| |17 | | |17 |
| |16 | | |16 |
| |-
| |
| |[[no-3 441zpi (σ = 1)]]
| |
| |80.9599365747
| |
| |14.8221459992
| |
| |2.60592
| |
| |[[81edo]]
| |
| |1200.59382594
| |
| |11
| |
| |11
| |
| |-
| |
| |[[no-3 462zpi (σ = 1)]]
| |
| |84.0209403971
| |
| |14.2821538813
| |
| |2.70980
| |
| |[[84edo]]
| |
| |1199.70092603
| |
| |16
| |
| |16
| |
| |-
| |
| |[[no-3 483zpi (σ = 1)]]
| |
| |86.9876279229
| |
| |13.7950652139
| |
| |2.64547
| |
| |[[87edo]]
| |
| |1200.17067361
| |
| |16
| |
| |16
| |
| |-
| |
| |[[no-3 504zpi (σ = 1)]]
| |
| |90.0001765765
| |
| |13.3333071739
| |
| |2.57729
| |
| |[[90edo]]
| |
| |1199.99764565
| |
| |10
| |
| |10
| |
| |- | | |- |
| |[[no-3 525zpi (σ = 1)]] | | |[[no-3 525zpi (σ = 1)]] |
| Line 951: |
Line 536: |
| |35 | | |35 |
| |19 | | |19 |
| |-
| |
| |[[no-3 575zpi (σ = 1)]]
| |
| |100.019153359
| |
| |11.9977020370
| |
| |2.51016
| |
| |[[100edo]]
| |
| |1199.77020370
| |
| |22
| |
| |22
| |
| |-
| |
| |[[no-3 596zpi (σ = 1)]]
| |
| |102.960307695
| |
| |11.6549768242
| |
| |2.88566
| |
| |[[103edo]]
| |
| |1200.46261290
| |
| |17
| |
| |17
| |
| |-
| |
| |[[no-3 640zpi (σ = 1)]]
| |
| |108.978652930
| |
| |11.0113308225
| |
| |3.02482
| |
| |[[109edo]]
| |
| |1200.23505965
| |
| |16
| |
| |16
| |
| |-
| |
| |[[no-3 684zpi (σ = 1)]]
| |
| |115.020054265
| |
| |10.4329632573
| |
| |2.86867
| |
| |[[115edo]]
| |
| |1199.79077459
| |
| |16
| |
| |16
| |
| |-
| |
| |[[no-3 729zpi (σ = 1)]]
| |
| |121.051422417
| |
| |9.91314249794
| |
| |2.55806
| |
| |[[121edo]]
| |
| |1199.49024225
| |
| |22
| |
| |22
| |
| |- | | |- |
| |[[no-3 751zpi (σ = 1)]] | | |[[no-3 751zpi (σ = 1)]] |
| Line 1,005: |
Line 545: |
| |28 | | |28 |
| |26 | | |26 |
| | |} |
| | |
| | === Notable Local Maxima of the Riemann Zeta Function after removing the prime 2 from the zeta product === |
| | |
| | {|class="wikitable sortable" |
| | |+ style="font-size: 105%;" | Zeta Peak Indexes at sigma = 1, filtered with (height ≥ 2.075 and cents ≥ 6.0) |
| | !colspan="3"|Tuning |
| | !colspan="1"|Strength |
| | !colspan="2"|Closest EDT |
| | !colspan="2"|No-2 Integer limit |
| |- | | |- |
| |[[no-3 796zpi (σ = 1)]]
| | !No-2 ZPI (σ = 1) |
| |130.024906617
| | !Steps per octave |
| |9.22900105233
| | !Cents |
| |2.64132
| | !Height |
| |[[130edo]]
| | !EDT |
| |1199.77013680
| | !Tritave |
| |16
| | !Consistent |
| |16
| | !Distinct |
| |- | | |- |
| |[[no-3 826zpi (σ = 1)]] | | |[[no-2 93zpi (σ = 1)]] |
| |133.978395805 | | |24.5747239922 |
| |8.95666792242 | | |48.8306603314 |
| |2.68076 | | |2.12985 |
| |[[134edo]] | | |[[39edt]] |
| |1200.19350160 | | |1904.39575293 |
| |10 | | |15 |
| |10 | | |15 |
| |- | | |- |
| |[[no-3 842zpi (σ = 1)]] | | |[[no-2 151zpi (σ = 1)]] |
| |136.059566604 | | |35.3061077059 |
| |8.81966648840 | | |33.9884534992 |
| |2.56610 | | |2.08576 |
| |[[136edo]] | | |[[56edt]] |
| |1199.47464242 | | |1903.35339595 |
| |11 | | |15 |
| |11 | | |15 |
| |- | | |- |
| |[[no-3 849zpi (σ = 1)]] | | |[[no-2 207zpi (σ = 1)]] |
| |137.014168071
| | |44.8164999984 |
| |8.75821834261
| | |26.7758526445 |
| |2.65309
| | |2.10342 |
| |[[137edo]]
| | |[[71edt]] |
| |1199.87591294
| | |1901.08553776 |
| |8
| |
| |8
| |
| |-
| |
| |[[no-3 872zpi (σ = 1)]]
| |
| |139.969011238 | |
| |8.57332626265 | |
| |2.95738 | |
| |[[140edo]] | |
| |1200.26567677 | |
| |17 | | |17 |
| |17 | | |17 |
| |- | | |- |
| |[[no-3 918zpi (σ = 1)]] | | |[[no-2 222zpi (σ = 1)]] |
| |145.988163227 | | |47.3516876312 |
| |8.21984449614 | | |25.3422857776 |
| |2.96655 | | |2.11876 |
| |[[146edo]] | | |[[75edt]] |
| |1200.09729644 | | |1900.67143332 |
| |22 | | |15 |
| |22 | | |15 |
| |- | | |- |
| |[[no-3 941zpi (σ = 1)]] | | |[[no-2 233zpi (σ = 1)]] |
| |148.974114172 | | |49.1657210129 |
| |8.05509068920 | | |24.4072491012 |
| |2.48892 | | |2.07714 |
| |[[149edo]] | | |[[78edt]] |
| |1200.20851269 | | |1903.76542989 |
| |17 | | |21 |
| |17 | | |21 |
| |- | | |- |
| |[[no-3 949zpi (σ = 1)]] | | |[[no-2 273zpi (σ = 1)]] |
| |149.967271540
| | |55.5359583782 |
| |8.00174589878
| | |21.6076220712 |
| |2.75244
| | |2.19450 |
| |[[150edo]]
| | |[[88edt]] |
| |1200.26188482
| | |1901.47074227 |
| |22
| |
| |22
| |
| |-
| |
| |[[no-3 988zpi (σ = 1)]]
| |
| |154.982657758 | |
| |7.74280179061 | |
| |2.59311 | |
| |[[155edo]] | |
| |1200.13427754 | |
| |11 | | |11 |
| |11 | | |11 |
| |- | | |- |
| |[[no-3 1012zpi (σ = 1)]] | | |[[no-2 363zpi (σ = 1)]] |
| |158.070078280
| | |69.4191721809 |
| |7.59156959404
| | |17.2862908372 |
| |2.58607
| | |2.08043 |
| |[[158edo]]
| | |[[110edt]] |
| |1199.46799586
| | |1901.49199210 |
| |14
| | |23 |
| |14
| | |23 |
| |-
| |
| |[[no-3 1019zpi (σ = 1)]]
| |
| |158.935399634 | |
| |7.55023740944 | |
| |2.51979 | |
| |[[159edo]]
| |
| |1200.48774810
| |
| |16
| |
| |16
| |
| |-
| |
| |[[no-3 1035zpi (σ = 1)]]
| |
| |161.022597516
| |
| |7.45237015495
| |
| |3.03830
| |
| |[[161edo]] | |
| |1199.83159495 | |
| |22 | |
| |22 | |
| |- | | |- |
| |[[no-3 1083zpi (σ = 1)]] | | |[[no-2 380zpi (σ = 1)]] |
| |167.067779937 | | |71.9200195089 |
| |7.18271350975 | | |16.6852012582 |
| |2.70357 | | |2.07565 |
| |[[167edo]] | | |[[114edt]] |
| |1199.51315613 | | |1902.11294344 |
| |17 | | |17 |
| |17 | | |17 |
| |- | | |- |
| |[[no-3 1114zpi (σ = 1)]] | | |[[no-2 453zpi (σ = 1)]] |
| |171.005264557 | | |82.6700405439 |
| |7.01732781800 | | |14.5155366092 |
| |2.57748 | | |2.38406 |
| |[[171edo]] | | |[[131edt]] |
| |1199.96305688 | | |1901.53529581 |
| |17 | | |27 |
| |17 | | |27 |
| |- | | |- |
| |[[no-3 1138zpi (σ = 1)]] | | |[[no-2 492zpi (σ = 1)]] |
| |173.986832234 | | |88.3238806401 |
| |6.89707367272 | | |13.5863595587 |
| |2.71583 | | |2.12238 |
| |[[174edo]] | | |[[140edt]] |
| |1200.09081905 | | |1902.09033822 |
| |10 | | |9 |
| |10 | | |9 |
| |- | | |- |
| |[[no-3 1145zpi (σ = 1)]] | | |[[no-2 510zpi (σ = 1)]] |
| |174.902446818 | | |90.8334979880 |
| |6.86096748120 | | |13.2109852266 |
| |2.52974 | | |2.23067 |
| |[[175edo]] | | |[[144edt]] |
| |1200.66930921 | | |1902.38187263 |
| |11 | | |39 |
| |11 | | |27 |
| |- | | |- |
| |[[no-3 1162zpi (σ = 1)]] | | |[[no-2 550zpi (σ = 1)]] |
| |177.011493724 | | |96.5187261015 |
| |6.77922079947 | | |12.4328205362 |
| |2.97004 | | |2.24293 |
| |[[177edo]] | | |[[153edt]] |
| |1199.92208151 | | |1902.22154203 |
| |16 | | |15 |
| |16 | | |15 |
| |- | | |- |
| |[[no-3 1210zpi (σ = 1)]] | | |[[no-2 627zpi (σ = 1)]] |
| |183.018217488 | | |107.244021785 |
| |6.55672433308 | | |11.1894348983 |
| |2.64315 | | |2.29774 |
| |[[183edo]] | | |[[170edt]] |
| |1199.88055295 | | |1902.20393272 |
| |17 | | |15 |
| |17 | | |15 |
| |- | | |- |
| |[[no-3 1234zpi (σ = 1)]] | | |[[no-2 687zpi (σ = 1)]] |
| |185.954284493 | | |115.412802617 |
| |6.45319898528 | | |10.3974600113 |
| |2.57176 | | |2.18983 |
| |[[186edo]] | | |[[183edt]] |
| |1200.29501126 | | |1902.73518207 |
| |10 | | |15 |
| |10 | | |15 |
| |- | | |- |
| |[[no-3 1242zpi (σ = 1)]] | | |[[no-2 697zpi (σ = 1)]] |
| |186.981915298 | | |116.734850378 |
| |6.41773295610 | | |10.2797064983 |
| |2.83950 | | |2.15793 |
| |[[187edo]] | | |[[185edt]] |
| |1200.11606279 | | |1901.74570218 |
| |28 | | |29 |
| |22 | | |29 |
| |- | | |- |
| |[[no-3 1259zpi (σ = 1)]] | | |[[no-2 777zpi (σ = 1)]] |
| |189.064389750 | | |127.486291223 |
| |6.34704399697 | | |9.41277676594 |
| |2.52241 | | |2.21095 |
| |[[189edo]] | | |[[202edt]] |
| |1199.59131543 | | |1901.38090672 |
| |11 | | |17 |
| |11 | | |17 |
| |- | | |- |
| |[[no-3 1283zpi (σ = 1)]] | | |[[no-2 810zpi (σ = 1)]] |
| |192.049160139 | | |131.822840677 |
| |6.24840014470 | | |9.10312654342 |
| |2.51416 | | |2.25360 |
| |[[192edo]] | | |[[209edt]] |
| |1199.69282778 | | |1902.55344758 |
| |11 | | |21 |
| |11 | | |21 |
| |- | | |- |
| |[[no-3 1291zpi (σ = 1)]] | | |[[no-2 829zpi (σ = 1)]] |
| |193.001411720 | | |134.373782790 |
| |6.21757110120 | | |8.93031345169 |
| |2.58076 | | |2.13475 |
| |[[193edo]] | | |[[213edt]] |
| |1199.99122253 | | |1902.15676521 |
| |11 | | |29 |
| |11 | | |29 |
| |- | | |- |
| |[[no-3 1315zpi (σ = 1)]] | | |[[no-2 839zpi (σ = 1)]] |
| |195.960897036 | | |135.657892938 |
| |6.12367068200 | | |8.84578091263 |
| |3.00252 | | |2.11125 |
| |[[196edo]] | | |[[215edt]] |
| |1200.23945367 | | |1901.84289622 |
| |17 | | |15 |
| |17 | | |15 |
| |- | | |- |
| |[[no-3 1332zpi (σ = 1)]] | | |[[no-2 858zpi (σ = 1)]] |
| |198.038062648
| | |138.196070465 |
| |6.05944122030
| | |8.68331491602 |
| |2.65687
| | |2.20051 |
| |[[198edo]]
| | |[[219edt]] |
| |1199.76936162
| | |1901.64596661 |
| |16
| |
| |16
| |
| |-
| |
| |[[no-3 1364zpi (σ = 1)]]
| |
| |201.995809149 | |
| |5.94071731021 | |
| |2.81223 | |
| |[[202edo]] | |
| |1200.02489666 | |
| |11 | | |11 |
| |11 | | |11 |
| |- | | |- |
| |[[no-3 1381zpi (σ = 1)]] | | |[[no-2 902zpi (σ = 1)]] |
| |204.057376735
| | |143.873905513 |
| |5.88069894458
| | |8.34063686336 |
| |2.71886
| | |2.09948 |
| |[[204edo]]
| | |[[228edt]] |
| |1199.66258470
| | |1901.66520485 |
| |23
| |
| |23
| |
| |-
| |
| |[[no-3 1414zpi (σ = 1)]]
| |
| |208.049926903
| |
| |5.76784629470
| |
| |2.68595
| |
| |[[208edo]]
| |
| |1199.71202930
| |
| |16
| |
| |16
| |
| |-
| |
| |[[no-3 1446zpi (σ = 1)]]
| |
| |211.918792048
| |
| |5.66254643300
| |
| |2.56248
| |
| |[[212edo]]
| |
| |1200.45984380
| |
| |14
| |
| |14
| |
| |-
| |
| |[[no-3 1463zpi (σ = 1)]]
| |
| |214.026411191
| |
| |5.60678466421
| |
| |2.83329
| |
| |[[214edo]]
| |
| |1199.85191814
| |
| |10
| |
| |10
| |
| |-
| |
| |[[no-3 1488zpi (σ = 1)]]
| |
| |217.013478474 | |
| |5.52961045756 | |
| |2.54143 | |
| |[[217edo]]
| |
| |1199.92546929
| |
| |13
| |
| |13
| |
| |-
| |
| |[[no-3 1496zpi (σ = 1)]]
| |
| |217.987761194
| |
| |5.50489620806
| |
| |3.05781
| |
| |[[218edo]] | |
| |1200.06737336 | |
| |11 | | |11 |
| |11 | | |11 |
| |- | | |- |
| |[[no-3 1546zpi (σ = 1)]] | | |[[no-2 965zpi (σ = 1)]] |
| |224.015057895 | | |152.075713777 |
| |5.35678275949 | | |7.89080629768 |
| |2.65007 | | |2.10893 |
| |[[224edo]] | | |[[241edt]] |
| |1199.91933813 | | |1901.68431774 |
| |16 | | |15 |
| |16 | | |15 |
| |- | | |- |
| |[[no-3 1571zpi (σ = 1)]] | | |[[no-2 985zpi (σ = 1)]] |
| |226.974561802 | | |154.604034485 |
| |5.28693607985 | | |7.76176381166 |
| |2.83428 | | |2.40811 |
| |[[227edo]] | | |[[245edt]] |
| |1200.13449013 | | |1901.63213386 |
| |28 | | |21 |
| |26 | | |21 |
| |- | | |- |
| |[[no-3 1596zpi (σ = 1)]] | | |[[no-2 1029zpi (σ = 1)]] |
| |229.980895615 | | |160.260260060 |
| |5.21782471014 | | |7.48782012177 |
| |2.53900 | | |2.17192 |
| |[[230edo]] | | |[[254edt]] |
| |1200.09968333 | | |1901.90631093 |
| |22 | | |9 |
| |22 | | |9 |
| |- | | |- |
| |[[no-3 1621zpi (σ = 1)]] | | |[[no-2 1049zpi (σ = 1)]] |
| |232.982861825 | | |162.750022676 |
| |5.15059344109 | | |7.37327086209 |
| |3.18230 | | |2.14738 |
| |[[233edo]] | | |[[258edt]] |
| |1200.08827177 | | |1902.30388242 |
| |17 | | |17 |
| |17 | | |17 |
| |- | | |- |
| |[[no-3 1672zpi (σ = 1)]] | | |[[no-2 1069zpi (σ = 1)]] |
| |239.007141842
| | |165.332187903 |
| |5.02077047050
| | |7.25811480039 |
| |3.03922
| | |2.19607 |
| |[[239edo]]
| | |[[262edt]] |
| |1199.96414245
| | |1901.62607770 |
| |11
| |
| |11
| |
| |-
| |
| |[[no-3 1705zpi (σ = 1)]]
| |
| |242.950513138
| |
| |4.93927748702
| |
| |2.58340
| |
| |[[243edo]]
| |
| |1200.24442935
| |
| |10
| |
| |10
| |
| |-
| |
| |[[no-3 1723zpi (σ = 1)]]
| |
| |245.078464843
| |
| |4.89639104263
| |
| |2.70419
| |
| |[[245edo]]
| |
| |1199.61580544
| |
| |16
| |
| |16
| |
| |-
| |
| |[[no-3 1748zpi (σ = 1)]]
| |
| |248.041899078
| |
| |4.83789232569
| |
| |2.65779
| |
| |[[248edo]]
| |
| |1199.79729677
| |
| |13
| |
| |13
| |
| |-
| |
| |[[no-3 1756zpi (σ = 1)]]
| |
| |248.948737068
| |
| |4.82026948253
| |
| |2.57360
| |
| |[[249edo]]
| |
| |1200.24710115
| |
| |16
| |
| |16
| |
| |-
| |
| |[[no-3 1799zpi (σ = 1)]]
| |
| |254.007436921
| |
| |4.72427112586
| |
| |2.77515
| |
| |[[254edo]]
| |
| |1199.96486597
| |
| |16
| |
| |16
| |
| |-
| |
| |[[no-3 1807zpi (σ = 1)]]
| |
| |254.973083305 | |
| |4.70637913792 | |
| |2.63503 | |
| |[[255edo]]
| |
| |1200.12668017
| |
| |11
| |
| |11
| |
| |-
| |
| |[[no-3 1859zpi (σ = 1)]]
| |
| |261.029447254
| |
| |4.59718247356
| |
| |3.06231
| |
| |[[261edo]]
| |
| |1199.86462560
| |
| |40
| |
| |34
| |
| |-
| |
| |[[no-3 1884zpi (σ = 1)]]
| |
| |263.969408305
| |
| |4.54598132301
| |
| |3.02070
| |
| |[[264edo]] | |
| |1200.13906928 | |
| |17 | | |17 |
| |17 | | |17 |
| |- | | |- |
| |[[no-3 1936zpi (σ = 1)]] | | |[[no-2 1134zpi (σ = 1)]] |
| |270.004586009
| | |173.506549648 |
| |4.44436895587
| | |6.91616542681 |
| |2.86256
| | |2.26764 |
| |[[270edo]]
| | |[[275edt]] |
| |1199.97961808
| | |1901.94549237 |
| |16
| | |29 |
| |16
| | |29 |
| |-
| |
| |[[no-3 1970zpi (σ = 1)]]
| |
| |273.982199321 | |
| |4.37984658483 | |
| |2.79132 | |
| |[[274edo]] | |
| |1200.07796424 | |
| |22 | |
| |22 | |
| |- | | |- |
| |[[no-3 1988zpi (σ = 1)]] | | |[[no-2 1159zpi (σ = 1)]] |
| |276.049541463 | | |176.625850825 |
| |4.34704580069 | | |6.79402247404 |
| |2.74028 | | |2.14379 |
| |[[276edo]] | | |[[280edt]] |
| |1199.78464099 | | |1902.32629273 |
| |11 | | |11 |
| |11 | | |11 |
| |- | | |- |
| |[[no-3 2022zpi (σ = 1)]] | | |[[no-2 1179zpi (σ = 1)]] |
| |279.959012818 | | |179.167803205 |
| |4.28634173239 | | |6.69763193238 |
| |2.75619 | | |2.29964 |
| |[[280edo]] | | |[[284edt]] |
| |1200.17568507 | | |1902.12746880 |
| |10 | | |15 |
| |10 | | |15 |
| |- | | |- |
| |[[no-3 2040zpi (σ = 1)]] | | |[[no-2 1245zpi (σ = 1)]] |
| |282.080960144 | | |187.354933401 |
| |4.25409782846 | | |6.40495544056 |
| |2.56419 | | |2.28021 |
| |[[282edo]] | | |[[297edt]] |
| |1199.65558763 | | |1902.27176585 |
| |14 | | |21 |
| |14 | | |21 |
| |- | | |- |
| |[[no-3 2048zpi (σ = 1)]] | | |[[no-2 1266zpi (σ = 1)]] |
| |282.978336346 | | |189.909845446 |
| |4.24060730405 | | |6.31878772364 |
| |2.66363 | | |2.17116 |
| |[[283edo]] | | |[[301edt]] |
| |1200.09186705 | | |1901.95510482 |
| |14 | | |17 |
| |14 | | |17 |
| |- | | |- |
| |[[no-3 2066zpi (σ = 1)]] | | |[[no-2 1297zpi (σ = 1)]] |
| |285.036698459 | | |193.736743714 |
| |4.20998421076 | | |6.19397217583 |
| |2.63604 | | |2.12380 |
| |[[285edo]] | | |[[307edt]] |
| |1199.84550007 | | |1901.54945798 |
| |22 | | |21 |
| |22 | | |21 |
| |- | | |- |
| |[[no-3 2074zpi (σ = 1)]] | | |[[no-2 1343zpi (σ = 1)]] |
| |285.991584632 | | |199.415414525 |
| |4.19592765830 | | |6.01758897555 |
| |2.84732 | | |2.36503 |
| |[[286edo]] | | |[[316edt]] |
| |1200.03531028 | | |1901.55811627 |
| |22 | | |39 |
| |22 | | |39 |
| |} | | |} |
|
| |
|
| Line 1,487: |
Line 866: |
|
| |
|
| {|class="wikitable sortable" | | {|class="wikitable sortable" |
| | |+ style="font-size: 105%;" | Zeta Peak Indexes at sigma = 1, filtered with (height ≥ 1.725 and cents ≥ 6.0) |
| !colspan="3"|Tuning | | !colspan="3"|Tuning |
| !colspan="3"|Strength | | !colspan="1"|Strength |
| !colspan="2"|Closest ED5 | | !colspan="2"|Closest ED5 |
| !colspan="2"|No-2 No-3 Integer limit | | !colspan="2"|No-2 No-3 Integer limit |
| Line 1,496: |
Line 876: |
| !Cents | | !Cents |
| !Height | | !Height |
| !Integral
| |
| !Gap
| |
| !ED5 | | !ED5 |
| !Pentave | | !Pentave |
| Line 1,503: |
Line 881: |
| !Distinct | | !Distinct |
| |- | | |- |
| |[[no-2 no-3 55zpi analog]]
| | |[[no-2 no-3 186zpi (σ = 1)]] |
| |16.7630030425585
| | |41.3464998527 |
| |71.5862185882446
| | |29.0230129340 |
| |3.480299
| | |1.75534 |
| |0.477759
| |
| |9.649416
| |
| |[[39ed5]]
| |
| |2791.86252494154
| |
| |13
| |
| |13
| |
| |-
| |
| |[[no-2 no-3 125zpi analog]]
| |
| |30.5974484926723
| |
| |39.2189564527704
| |
| |3.769318
| |
| |0.448541
| |
| |9.828199
| |
| |[[71ed5]]
| |
| |2784.54590814670
| |
| |19
| |
| |19
| |
| |-
| |
| |[[no-2 no-3 176zpi analog]]
| |
| |39.5828667040955
| |
| |30.3161468564337
| |
| |3.603524
| |
| |0.421674
| |
| |10.452207
| |
| |[[92ed5]]
| |
| |2789.08551079190
| |
| |11
| |
| |11
| |
| |-
| |
| |[[no-2 no-3 186zpi analog]] | |
| |41.3477989230936 | |
| |29.0221010852836 | |
| |4.469823
| |
| |0.556068
| |
| |11.567493 | |
| |[[96ed5]] | | |[[96ed5]] |
| |2786.12170418722 | | |2786.20924167 |
| |35 | | |35 |
| |23 | | |23 |
| |- | | |- |
| |[[no-2 no-3 212zpi analog]]
| | |[[no-2 no-3 565zpi (σ = 1)]] |
| |45.6783815054539
| | |98.6253027359 |
| |26.2706330752267
| | |12.1672630320 |
| |3.818225
| | |1.74188 |
| |0.433470
| |
| |10.611042
| |
| |[[106ed5]]
| |
| |2784.68710597403
| |
| |13
| |
| |13
| |
| |-
| |
| |[[no-2 no-3 235zpi analog]]
| |
| |49.4631517377883
| |
| |24.2604839732289
| |
| |3.853032
| |
| |0.428042
| |
| |10.508697
| |
| |[[115ed5]]
| |
| |2789.95565692132
| |
| |25
| |
| |25
| |
| |-
| |
| |[[no-2 no-3 284zpi analog]]
| |
| |57.2705618247184
| |
| |20.9531731794898
| |
| |3.913350
| |
| |0.465932
| |
| |11.922515
| |
| |[[133ed5]]
| |
| |2786.77203287214
| |
| |17
| |
| |17
| |
| |-
| |
| |[[no-2 no-3 298zpi analog]]
| |
| |59.4923782274424
| |
| |20.1706510271339
| |
| |4.083075
| |
| |0.465782
| |
| |11.463643
| |
| |[[138ed5]]
| |
| |2783.54984174448
| |
| |23
| |
| |23
| |
| |-
| |
| |[[no-2 no-3 312zpi analog]]
| |
| |61.6047959566046
| |
| |19.4790029147292
| |
| |4.416896
| |
| |0.501431
| |
| |11.339301
| |
| |[[143ed5]]
| |
| |2785.49741680628
| |
| |25
| |
| |23
| |
| |-
| |
| |[[no-2 no-3 340zpi analog]]
| |
| |65.8904943328257
| |
| |18.2120351676004
| |
| |4.092923
| |
| |0.526694
| |
| |13.998526
| |
| |[[153ed5]]
| |
| |2786.44138064287
| |
| |13
| |
| |13
| |
| |-
| |
| |[[no-2 no-3 368zpi analog]]
| |
| |70.2158409653819
| |
| |17.0901606176251
| |
| |4.382540
| |
| |0.518334
| |
| |12.481351
| |
| |[[163ed5]]
| |
| |2785.69618067290
| |
| |19
| |
| |19
| |
| |-
| |
| |[[no-2 no-3 423zpi analog]]
| |
| |78.3601842342727
| |
| |15.3138996765548
| |
| |4.270381
| |
| |0.502072
| |
| |12.963711
| |
| |[[182ed5]]
| |
| |2787.12974113297
| |
| |19
| |
| |19
| |
| |-
| |
| |[[no-2 no-3 438zpi analog]]
| |
| |80.4944089071946
| |
| |14.9078677176639
| |
| |4.243838
| |
| |0.450422
| |
| |11.371118
| |
| |[[187ed5]]
| |
| |2787.77126320314
| |
| |7
| |
| |7
| |
| |-
| |
| |[[no-2 no-3 465zpi analog]]
| |
| |84.4075187897342
| |
| |14.2167429774745
| |
| |4.301350
| |
| |0.486089
| |
| |12.332303
| |
| |[[196ed5]]
| |
| |2786.48162358500
| |
| |17
| |
| |17
| |
| |-
| |
| |[[no-2 no-3 477zpi analog]]
| |
| |86.1814871554687
| |
| |13.9241041157161
| |
| |4.459348
| |
| |0.505570
| |
| |12.446285
| |
| |[[200ed5]]
| |
| |2784.82082314323
| |
| |25
| |
| |25
| |
| |-
| |
| |[[no-2 no-3 565zpi analog]] | |
| |98.6257548378926 | |
| |12.1672072570942 | |
| |4.883729 | |
| |0.545550
| |
| |12.639964
| |
| |[[229ed5]] | | |[[229ed5]] |
| |2786.29046187457 | | |2786.30323433 |
| |29 | | |29 |
| |29 | | |29 |
| |- | | |- |
| |[[no-2 no-3 581zpi analog]]
| | |[[no-2 no-3 671zpi (σ = 1)]] |
| |100.797128599965
| | |113.258011095 |
| |11.9051010347969
| | |10.5952769998 |
| |4.579796
| | |1.77217 |
| |0.536282
| |
| |13.693791
| |
| |[[234ed5]]
| |
| |2785.79364214247
| |
| |25
| |
| |25
| |
| |-
| |
| |[[no-2 no-3 671zpi analog]] | |
| |113.256639862217 | |
| |10.5954052800778 | |
| |5.104294
| |
| |0.563708
| |
| |12.937931 | |
| |[[263ed5]] | | |[[263ed5]] |
| |2786.59158866045 | | |2786.55785095 |
| |19 | | |19 |
| |19 | | |19 |
| |- | | |- |
| |[[no-2 no-3 764zpi analog]] | | |[[no-2 no-3 764zpi (σ = 1)]] |
| |125.745930952370 | | |125.745000550 |
| |9.54305233506547 | | |9.54312294522 |
| |5.001815 | | |1.75634 |
| |0.548008
| |
| |12.976730
| |
| |[[292ed5]] | | |[[292ed5]] |
| |2786.57128183912 | | |2786.59190001 |
| |37 | | |37 |
| |37 | | |37 |
| |- | | |- |
| |[[no-2 no-3 905zpi analog]] | | |[[no-2 no-3 905zpi (σ = 1)]] |
| |144.300058486204 | | |144.297529480 |
| |8.31600494545005 | | |8.31615069448 |
| |5.030210 | | |1.73926 |
| |0.539592
| |
| |13.254432
| |
| |[[335ed5]] | | |[[335ed5]] |
| |2785.86165672577 | | |2785.91048265 |
| |43 | | |43 |
| |41 | | |41 |
| |- | | |- |
| |[[no-2 no-3 938zpi analog]] | | |[[no-2 no-3 938zpi (σ = 1)]] |
| |148.561761173834 | | |148.562870929 |
| |8.07744866861039 | | |8.07738833059 |
| |5.510552 | | |1.79949 |
| |0.600083
| |
| |13.846076
| |
| |[[345ed5]] | | |[[345ed5]] |
| |2786.71979067058 | | |2786.69897405 |
| |25 | | |25 |
| |25 | | |25 |
| | |- |
| | |[[no-2 no-3 1046zpi (σ = 1)]] |
| | |162.414291729 |
| | |7.38851234841 |
| | |1.73251 |
| | |[[377ed5]] |
| | |2785.46915535 |
| | |23 |
| | |23 |
| | |- |
| | |[[no-2 no-3 1145zpi (σ = 1)]] |
| | |174.880594782 |
| | |6.86182478678 |
| | |1.74084 |
| | |[[406ed5]] |
| | |2785.90086343 |
| | |25 |
| | |25 |
| | |- |
| | |[[no-2 no-3 1196zpi (σ = 1)]] |
| | |181.292147244 |
| | |6.61915046096 |
| | |1.77770 |
| | |[[421ed5]] |
| | |2786.66234406 |
| | |35 |
| | |35 |
| | |- |
| | |[[no-2 no-3 1280zpi (σ = 1)]] |
| | |191.632570168 |
| | |6.26198353937 |
| | |1.75036 |
| | |[[445ed5]] |
| | |2786.58267502 |
| | |29 |
| | |29 |
| |} | | |} |
|
| |
|