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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 550: Line 550:


{|class="wikitable sortable"
{|class="wikitable sortable"
|+ style="font-size: 105%;" | Zeta Peak Indexes at sigma = 1, filtered with (height ≥ 1.875 and cents ≥ 6.0)
|+ style="font-size: 105%;" | Zeta Peak Indexes at sigma = 1, filtered with (height ≥ 2.075 and cents ≥ 6.0)
!colspan="3"|Tuning
!colspan="3"|Tuning
!colspan="1"|Strength
!colspan="1"|Strength
Line 565: Line 565:
!Distinct
!Distinct
|-
|-
|[[no-2 19zpi (σ = 1)]]
|[[no-2 93zpi (σ = 1)]]
|8.18712929074
|24.5747239922
|146.571521883
|48.8306603314
|1.87661
|2.12985
|[[13edt]]
|[[39edt]]
|1905.42978449
|1904.39575293
|15
|15
|11
|-
|[[no-2 29zpi (σ = 1)]]
|10.7334869381
|111.799642271
|1.95394
|[[17edt]]
|1900.59391860
|17
|11
|-
|[[no-2 53zpi (σ = 1)]]
|16.4033618519
|73.1557354420
|2.01896
|[[26edt]]
|1902.04912149
|21
|15
|-
|[[no-2 71zpi (σ = 1)]]
|20.2433432017
|59.2787460076
|2.00269
|[[32edt]]
|1896.91987224
|21
|15
|-
|[[no-2 84zpi (σ = 1)]]
|22.7835155508
|52.6696592247
|1.89685
|[[36edt]]
|1896.10773209
|17
|13
|-
|[[no-2 93zpi (σ = 1)|'''no-2 93zpi (σ = 1)''']]
|'''24.5747239922'''
|'''48.8306603314'''
|'''2.12985'''
|'''[[39edt]]'''
|'''1904.39575293'''
|'''15'''
|'''15'''
|-
|[[no-2 106zpi (σ = 1)]]
|27.1258094838
|44.2383111448
|1.97822
|[[43edt]]
|1902.24737923
|11
|11
|-
|[[no-2 113zpi (σ = 1)]]
|28.4085507996
|42.2408030759
|1.96399
|[[45edt]]
|1900.83613842
|9
|9
|-
|[[no-2 137zpi (σ = 1)]]
|32.7488975372
|36.6424548685
|2.02055
|[[52edt]]
|1905.40765316
|25
|15
|15
|-
|-
Line 654: Line 582:
|15
|15
|15
|15
|-
|[[no-2 166zpi (σ = 1)]]
|37.8594891129
|31.6961487891
|1.97021
|[[60edt]]
|1901.76892734
|15
|15
|-
|[[no-2 173zpi (σ = 1)]]
|39.1519961740
|30.6497782301
|1.99822
|[[62edt]]
|1900.28625027
|9
|9
|-
|[[no-2 199zpi (σ = 1)]]
|43.5167998698
|27.5755571088
|2.05686
|[[69edt]]
|1902.71344050
|9
|9
|-
|-
|[[no-2 207zpi (σ = 1)]]
|[[no-2 207zpi (σ = 1)]]
Line 709: Line 610:
|21
|21
|-
|-
|[[no-2 249zpi (σ = 1)]]
|[[no-2 273zpi (σ = 1)]]
|51.6879877530
|55.5359583782
|23.2162259002
|21.6076220712
|2.03774
|2.19450
|[[82edt]]
|[[88edt]]
|1903.73052382
|1901.47074227
|17
|17
|-
|[[no-2 273zpi (σ = 1)|'''no-2 273zpi (σ = 1)''']]
|'''55.5359583782'''
|'''21.6076220712'''
|'''2.19450'''
|'''[[88edt]]'''
|'''1901.47074227'''
|'''11'''
|'''11'''
|-
|[[no-2 289zpi (σ = 1)]]
|58.0976839265
|20.6548681272
|1.99993
|[[92edt]]
|1900.24786771
|15
|15
|-
|[[no-2 301zpi (σ = 1)]]
|59.8907003349
|20.0364997118
|1.93131
|[[95edt]]
|1903.46747262
|11
|11
|-
|[[no-2 309zpi (σ = 1)]]
|61.2052267978
|19.6061686686
|1.96785
|[[97edt]]
|1901.79836086
|11
|11
|11
|11
|-
|[[no-2 317zpi (σ = 1)]]
|62.4122030931
|19.2270091509
|2.07392
|[[99edt]]
|1903.47390594
|25
|23
|-
|[[no-2 326zpi (σ = 1)]]
|63.7602215687
|18.8205117623
|2.05280
|[[101edt]]
|1900.87168799
|9
|9
|-
|[[no-2 342zpi (σ = 1)]]
|66.2583876236
|18.1109146033
|2.06825
|[[105edt]]
|1901.64603334
|17
|17
|-
|-
|[[no-2 363zpi (σ = 1)]]
|[[no-2 363zpi (σ = 1)]]
Line 799: Line 637:
|17
|17
|-
|-
|[[no-2 397zpi (σ = 1)]]
|[[no-2 453zpi (σ = 1)]]
|74.4867252346
|82.6700405439
|16.1102531521
|14.5155366092
|1.92629
|2.38406
|[[118edt]]
|[[131edt]]
|1901.00987195
|1901.53529581
|15
|27
|15
|27
|-
|[[no-2 409zpi (σ = 1)]]
|76.2807590080
|15.7313589378
|1.97954
|[[121edt]]
|1903.49443147
|25
|23
|-
|[[no-2 418zpi (σ = 1)]]
|77.5713604064
|15.4696268534
|1.90376
|[[123edt]]
|1902.76410297
|9
|9
|-
|[[no-2 435zpi (σ = 1)]]
|80.1032694573
|14.9806619396
|1.99098
|[[127edt]]
|1902.54406634
|11
|11
|-
|[[no-2 453zpi (σ = 1)|'''no-2 453zpi (σ = 1)''']]
|'''82.6700405439'''
|'''14.5155366092'''
|'''2.38406'''
|'''[[131edt]]'''
|'''1901.53529581'''
|'''27'''
|'''27'''
|-
|-
|[[no-2 492zpi (σ = 1)]]
|[[no-2 492zpi (σ = 1)]]
Line 861: Line 663:
|39
|39
|27
|27
|-
|[[no-2 519zpi (σ = 1)]]
|92.1840749628
|13.0174327885
|1.99259
|[[146edt]]
|1900.54518712
|17
|17
|-
|-
|[[no-2 550zpi (σ = 1)]]
|[[no-2 550zpi (σ = 1)]]
Line 879: Line 672:
|15
|15
|15
|15
|-
|[[no-2 568zpi (σ = 1)]]
|99.0730275901
|12.1122774704
|2.00937
|[[157edt]]
|1901.62756285
|11
|11
|-
|[[no-2 577zpi (σ = 1)]]
|100.316260311
|11.9621684090
|1.98584
|[[159edt]]
|1901.98477703
|11
|11
|-
|[[no-2 596zpi (σ = 1)]]
|102.908364024
|11.6608597502
|1.96654
|[[163edt]]
|1900.72013927
|15
|15
|-
|[[no-2 609zpi (σ = 1)]]
|104.713326539
|11.4598594053
|2.00635
|[[166edt]]
|1902.33666128
|11
|11
|-
|[[no-2 614zpi (σ = 1)]]
|105.436045548
|11.3813069692
|1.92595
|[[167edt]]
|1900.67826385
|23
|23
|-
|-
|[[no-2 627zpi (σ = 1)]]
|[[no-2 627zpi (σ = 1)]]
Line 933: Line 681:
|15
|15
|15
|15
|-
|[[no-2 646zpi (σ = 1)]]
|109.793603482
|10.9295984642
|1.96998
|[[174edt]]
|1901.75013278
|15
|15
|-
|[[no-2 655zpi (σ = 1)]]
|111.085500608
|10.8024899148
|2.00672
|[[176edt]]
|1901.23822501
|21
|21
|-
|[[no-2 659zpi (σ = 1)]]
|111.586744725
|10.7539654729
|1.88303
|[[177edt]]
|1903.45188870
|7
|7
|-
|-
|[[no-2 687zpi (σ = 1)]]
|[[no-2 687zpi (σ = 1)]]
Line 978: Line 699:
|29
|29
|29
|29
|-
|[[no-2 706zpi (σ = 1)]]
|117.949591604
|10.1738376851
|1.91643
|[[187edt]]
|1902.50764711
|11
|11
|-
|[[no-2 725zpi (σ = 1)]]
|120.530724507
|9.95596769960
|1.89765
|[[191edt]]
|1901.58983062
|5
|5
|-
|[[no-2 729zpi (σ = 1)]]
|121.102378223
|9.90897138117
|2.05767
|[[192edt]]
|1902.52250518
|17
|17
|-
|[[no-2 748zpi (σ = 1)]]
|123.601895646
|9.70858896401
|1.91762
|[[196edt]]
|1902.88343695
|11
|11
|-
|[[no-2 753zpi (σ = 1)]]
|124.304838560
|9.65368696748
|1.91680
|[[197edt]]
|1901.77633259
|21
|21
|-
|[[no-2 767zpi (σ = 1)]]
|126.183698594
|9.50994473428
|2.05769
|[[200edt]]
|1901.98894686
|9
|9
|-
|-
|[[no-2 777zpi (σ = 1)]]
|[[no-2 777zpi (σ = 1)]]
Line 1,077: Line 744:
|11
|11
|11
|11
|-
|[[no-2 878zpi (σ = 1)]]
|140.756053126
|8.52538823977
|1.91894
|[[223edt]]
|1901.16157747
|15
|15
|-
|[[no-2 882zpi (σ = 1)]]
|141.320264620
|8.49135121014
|1.94097
|[[224edt]]
|1902.06267107
|17
|17
|-
|-
|[[no-2 902zpi (σ = 1)]]
|[[no-2 902zpi (σ = 1)]]
Line 1,104: Line 753:
|11
|11
|11
|11
|-
|[[no-2 911zpi (σ = 1)]]
|145.102065664
|8.27004077793
|1.96452
|[[230edt]]
|1902.10937892
|23
|23
|-
|[[no-2 921zpi (σ = 1)]]
|146.379932964
|8.19784498941
|1.96989
|[[232edt]]
|1901.90003754
|9
|9
|-
|[[no-2 945zpi (σ = 1)]]
|149.470277594
|8.02835198621
|1.92855
|[[237edt]]
|1902.71942073
|19
|19
|-
|-
|[[no-2 965zpi (σ = 1)]]
|[[no-2 965zpi (σ = 1)]]
Line 1,141: Line 763:
|15
|15
|-
|-
|[[no-2 985zpi (σ = 1)|'''no-2 985zpi (σ = 1)''']]
|[[no-2 985zpi (σ = 1)]]
|'''154.604034485'''
|154.604034485
|'''7.76176381166'''
|7.76176381166
|'''2.40811'''
|2.40811
|'''[[245edt]]'''
|[[245edt]]
|'''1901.63213386'''
|1901.63213386
|'''21'''
|21
|'''21'''
|21
|-
|[[no-2 995zpi (σ = 1)]]
|155.863142206
|7.69906202978
|1.88900
|[[247edt]]
|1901.66832135
|7
|7
|-
|[[no-2 1019zpi (σ = 1)]]
|158.932236585
|7.55038767329
|1.94652
|[[252edt]]
|1902.69769367
|15
|15
|-
|-
|[[no-2 1029zpi (σ = 1)]]
|[[no-2 1029zpi (σ = 1)]]
Line 1,194: Line 798:
|17
|17
|17
|17
|-
|[[no-2 1083zpi (σ = 1)]]
|167.112289634
|7.18080042243
|1.93984
|[[265edt]]
|1902.91211194
|11
|11
|-
|[[no-2 1104zpi (σ = 1)]]
|169.714157484
|7.07071241310
|1.92771
|[[269edt]]
|1902.02163912
|15
|15
|-
|[[no-2 1114zpi (σ = 1)]]
|170.990381058
|7.01793862657
|1.91502
|[[271edt]]
|1901.86136780
|9
|9
|-
|-
|[[no-2 1134zpi (σ = 1)]]
|[[no-2 1134zpi (σ = 1)]]
Line 1,230: Line 807:
|29
|29
|29
|29
|-
|[[no-2 1145zpi (σ = 1)]]
|174.860916353
|6.86259700012
|1.98752
|[[277edt]]
|1900.93936903
|15
|15
|-
|-
|[[no-2 1159zpi (σ = 1)]]
|[[no-2 1159zpi (σ = 1)]]
Line 1,257: Line 825:
|15
|15
|15
|15
|-
|[[no-2 1200zpi (σ = 1)]]
|181.734924328
|6.60302363146
|1.98334
|[[288edt]]
|1901.67080586
|11
|11
|-
|[[no-2 1210zpi (σ = 1)]]
|183.000523023
|6.55735830793
|1.88033
|[[290edt]]
|1901.63390930
|17
|17
|-
|[[no-2 1225zpi (σ = 1)]]
|184.832854856
|6.49235224405
|1.92540
|[[293edt]]
|1902.25920751
|9
|9
|-
|-
|[[no-2 1245zpi (σ = 1)]]
|[[no-2 1245zpi (σ = 1)]]
Line 1,311: Line 852:
|21
|21
|21
|21
|-
|[[no-2 1301zpi (σ = 1)]]
|194.272130007
|6.17690247159
|1.87710
|[[308edt]]
|1902.48596125
|7
|7
|-
|[[no-2 1312zpi (σ = 1)]]
|195.595668163
|6.13510519569
|1.92538
|[[310edt]]
|1901.88261066
|9
|9
|-
|[[no-2 1332zpi (σ = 1)]]
|198.083101013
|6.05806347873
|2.07112
|[[314edt]]
|1902.23193232
|15
|15
|-
|-
|[[no-2 1343zpi (σ = 1)]]
|[[no-2 1343zpi (σ = 1)]]
Line 1,352: Line 866:


{|class="wikitable sortable"
{|class="wikitable sortable"
|+ style="font-size: 105%;" | Zeta Peak Indexes at sigma = 1, filtered with (height ≥ 1.6 and cents ≥ 6.0)
|+ 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="1"|Strength
!colspan="1"|Strength
Line 1,367: Line 881:
!Distinct
!Distinct
|-
|-
|[[no-2 no-3 36zpi (σ = 1)|'''no-2 no-3 36zpi (σ = 1)''']]
|[[no-2 no-3 186zpi (σ = 1)]]
|'''12.4660713853'''
|41.3464998527
|'''96.2612809531'''
|29.0230129340
|'''1.63006'''
|1.75534
|'''[[29ed5]]'''
|[[96ed5]]
|'''2791.57714764'''
|2786.20924167
|'''23'''
|35
|'''13'''
|-
|[[no-2 no-3 55zpi (σ = 1)]]
|16.7644794252
|71.5799142678
|1.61533
|[[39ed5]]
|2791.61665644
|13
|13
|-
|[[no-2 no-3 125zpi (σ = 1)]]
|30.5978454621
|39.2184476350
|1.60272
|[[71ed5]]
|2784.50978208
|19
|19
|-
|[[no-2 no-3 186zpi (σ = 1)|'''no-2 no-3 186zpi (σ = 1)''']]
|'''41.3464998527'''
|'''29.0230129340'''
|'''1.75534'''
|'''[[96ed5]]'''
|'''2786.20924167'''
|'''35'''
|'''23'''
|-
|[[no-2 no-3 262zpi (σ = 1)]]
|53.7853073038
|22.3109257928
|1.60529
|[[125ed5]]
|2788.86572410
|17
|17
|-
|[[no-2 no-3 284zpi (σ = 1)]]
|57.2735400587
|20.9520836109
|1.60690
|[[133ed5]]
|2786.62712024
|17
|17
|-
|[[no-2 no-3 298zpi (σ = 1)]]
|59.4886140169
|20.1719273483
|1.61011
|[[138ed5]]
|2783.72597407
|23
|23
|-
|[[no-2 no-3 312zpi (σ = 1)]]
|61.6053540989
|19.4788264357
|1.69262
|[[143ed5]]
|2785.47218030
|25
|23
|-
|[[no-2 no-3 340zpi (σ = 1)]]
|65.8959418265
|18.2105296129
|1.70245
|[[153ed5]]
|2786.21103077
|13
|13
|-
|[[no-2 no-3 368zpi (σ = 1)]]
|70.2130992609
|17.0908279599
|1.69532
|[[163ed5]]
|2785.80495746
|19
|19
|-
|[[no-2 no-3 394zpi (σ = 1)]]
|74.0800438156
|16.1986945227
|1.61352
|[[172ed5]]
|2786.17545791
|17
|17
|-
|[[no-2 no-3 423zpi (σ = 1)]]
|78.3584494159
|15.3142387189
|1.68605
|[[182ed5]]
|2787.19144685
|19
|19
|-
|[[no-2 no-3 438zpi (σ = 1)]]
|80.4984134261
|14.9071261026
|1.60066
|[[187ed5]]
|2787.63258118
|7
|7
|-
|[[no-2 no-3 453zpi (σ = 1)]]
|82.6821657004
|14.5134079379
|1.62198
|[[192ed5]]
|2786.57432408
|25
|25
|-
|[[no-2 no-3 465zpi (σ = 1)]]
|84.4093692514
|14.2164313114
|1.66499
|[[196ed5]]
|2786.42053703
|17
|17
|-
|[[no-2 no-3 477zpi (σ = 1)]]
|86.1785294210
|13.9245820051
|1.67898
|[[200ed5]]
|2784.91640101
|25
|25
|-
|[[no-2 no-3 507zpi (σ = 1)]]
|90.4604301285
|13.2654686507
|1.60322
|[[210ed5]]
|2785.74841665
|17
|17
|-
|[[no-2 no-3 540zpi (σ = 1)]]
|95.1233580316
|12.6151980421
|1.65279
|[[221ed5]]
|2787.95876731
|23
|23
|23
|-
|-
Line 1,538: Line 899:
|29
|29
|-
|-
|[[no-2 no-3 581zpi (σ = 1)]]
|[[no-2 no-3 671zpi (σ = 1)]]
|100.799606439
|113.258011095
|11.9048083856
|10.5952769998
|1.71723
|1.77217
|[[234ed5]]
|[[263ed5]]
|2785.72516223
|2786.55785095
|25
|25
|-
|[[no-2 no-3 659zpi (σ = 1)]]
|111.567387279
|10.7558313344
|1.61434
|[[259ed5]]
|2785.76031562
|19
|19
|19
|19
|-
|[[no-2 no-3 671zpi (σ = 1)|'''no-2 no-3 671zpi (σ = 1)''']]
|'''113.258011095'''
|'''10.5952769998'''
|'''1.77217'''
|'''[[263ed5]]'''
|'''2786.55785095'''
|'''19'''
|'''19'''
|-
|[[no-2 no-3 687zpi (σ = 1)]]
|115.394324373
|10.3991249701
|1.61876
|[[268ed5]]
|2786.96549199
|13
|13
|-
|-
|[[no-2 no-3 764zpi (σ = 1)]]
|[[no-2 no-3 764zpi (σ = 1)]]
Line 1,582: Line 916:
|37
|37
|37
|37
|-
|[[no-2 no-3 810zpi (σ = 1)]]
|131.804682622
|9.10438063447
|1.63433
|[[306ed5]]
|2785.94047415
|25
|25
|-
|[[no-2 no-3 823zpi (σ = 1)]]
|133.549370751
|8.98544106384
|1.63157
|[[310ed5]]
|2785.48672979
|25
|25
|-
|[[no-2 no-3 845zpi (σ = 1)]]
|136.480899907
|8.79243909456
|1.62731
|[[317ed5]]
|2787.20319298
|19
|19
|-
|[[no-2 no-3 888zpi (σ = 1)]]
|142.134887689
|8.44268440710
|1.65729
|[[330ed5]]
|2786.08585434
|25
|25
|-
|-
|[[no-2 no-3 905zpi (σ = 1)]]
|[[no-2 no-3 905zpi (σ = 1)]]
Line 1,628: Line 926:
|41
|41
|-
|-
|[[no-2 no-3 938zpi (σ = 1)|'''no-2 no-3 938zpi (σ = 1)''']]
|[[no-2 no-3 938zpi (σ = 1)]]
|'''148.562870929'''
|148.562870929
|'''8.07738833059'''
|8.07738833059
|'''1.79949'''
|1.79949
|'''[[345ed5]]'''
|[[345ed5]]
|'''2786.69897405'''
|2786.69897405
|'''25'''
|25
|'''25'''
|25
|-
|[[no-2 no-3 951zpi (σ = 1)]]
|150.288484121
|7.98464371385
|1.62413
|[[349ed5]]
|2786.64065613
|17
|17
|-
|[[no-2 no-3 985zpi (σ = 1)]]
|154.617025672
|7.76111165495
|1.66586
|[[359ed5]]
|2786.23908413
|19
|19
|-
|-
|[[no-2 no-3 1046zpi (σ = 1)]]
|[[no-2 no-3 1046zpi (σ = 1)]]
Line 1,663: Line 943:
|23
|23
|23
|23
|-
|[[no-2 no-3 1083zpi (σ = 1)]]
|167.090722171
|7.18172729405
|1.64644
|[[388ed5]]
|2786.51019009
|17
|17
|-
|[[no-2 no-3 1097zpi (σ = 1)]]
|168.816431308
|7.10831280284
|1.70949
|[[392ed5]]
|2786.45861871
|29
|29
|-
|-
|[[no-2 no-3 1145zpi (σ = 1)]]
|[[no-2 no-3 1145zpi (σ = 1)]]
Line 1,699: Line 961:
|35
|35
|35
|35
|-
|[[no-2 no-3 1214zpi (σ = 1)]]
|183.477053621
|6.54032739419
|1.68165
|[[426ed5]]
|2786.17946993
|17
|17
|-
|-
|[[no-2 no-3 1280zpi (σ = 1)]]
|[[no-2 no-3 1280zpi (σ = 1)]]
Line 1,717: Line 970:
|29
|29
|29
|29
|-
|[[no-2 no-3 1315zpi (σ = 1)]]
|195.943977306
|6.12419945997
|1.62667
|[[455ed5]]
|2786.51075429
|17
|17
|-
|[[no-2 no-3 1343zpi (σ = 1)]]
|199.431052743
|6.01711711137
|1.70966
|[[463ed5]]
|2785.92522256
|37
|37
|}
|}


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