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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 866: |
Line 866: |
|
| |
|
| {|class="wikitable sortable" | | {|class="wikitable sortable" |
| |+ style="font-size: 105%;" | Zeta Peak Indexes at sigma = 1, filtered with (height ≥ 1.627 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 880: |
Line 880: |
| !Consistent | | !Consistent |
| !Distinct | | !Distinct |
| |-
| |
| |[[no-2 no-3 36zpi (σ = 1)]]
| |
| |12.4660713853
| |
| |96.2612809531
| |
| |1.63006
| |
| |[[29ed5]]
| |
| |2791.57714764
| |
| |23
| |
| |13
| |
| |- | | |- |
| |[[no-2 no-3 186zpi (σ = 1)]] | | |[[no-2 no-3 186zpi (σ = 1)]] |
| Line 897: |
Line 888: |
| |2786.20924167 | | |2786.20924167 |
| |35 | | |35 |
| |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 423zpi (σ = 1)]]
| |
| |78.3584494159
| |
| |15.3142387189
| |
| |1.68605
| |
| |[[182ed5]]
| |
| |2787.19144685
| |
| |19
| |
| |19
| |
| |-
| |
| |[[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 540zpi (σ = 1)]]
| |
| |95.1233580316
| |
| |12.6151980421
| |
| |1.65279
| |
| |[[221ed5]]
| |
| |2787.95876731
| |
| |23
| |
| |23 | | |23 |
| |- | | |- |
| Line 970: |
Line 898: |
| |29 | | |29 |
| |29 | | |29 |
| |-
| |
| |[[no-2 no-3 581zpi (σ = 1)]]
| |
| |100.799606439
| |
| |11.9048083856
| |
| |1.71723
| |
| |[[234ed5]]
| |
| |2785.72516223
| |
| |25
| |
| |25
| |
| |- | | |- |
| |[[no-2 no-3 671zpi (σ = 1)]] | | |[[no-2 no-3 671zpi (σ = 1)]] |
| Line 997: |
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 1,051: |
Line 934: |
| |25 | | |25 |
| |25 | | |25 |
| |-
| |
| |[[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 1,069: |
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 1,105: |
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 1,123: |
Line 970: |
| |29 | | |29 |
| |29 | | |29 |
| |-
| |
| |[[no-2 no-3 1343zpi (σ = 1)]]
| |
| |199.431052743
| |
| |6.01711711137
| |
| |1.70966
| |
| |[[463ed5]]
| |
| |2785.92522256
| |
| |37
| |
| |37
| |
| |-
| |
| |[[no-2 no-3 1403zpi (σ = 1)]]
| |
| |206.698324430
| |
| |5.80556230105
| |
| |1.66948
| |
| |[[480ed5]]
| |
| |2786.66990450
| |
| |37
| |
| |37
| |
| |-
| |
| |[[no-2 no-3 1431zpi (σ = 1)]]
| |
| |210.179102638
| |
| |5.70941632607
| |
| |1.71227
| |
| |[[488ed5]]
| |
| |2786.19516712
| |
| |29
| |
| |29
| |
| |-
| |
| |[[no-2 no-3 1446zpi (σ = 1)]]
| |
| |211.894497896
| |
| |5.66319565592
| |
| |1.65644
| |
| |[[492ed5]]
| |
| |2786.29226271
| |
| |19
| |
| |19
| |
| |-
| |
| |[[no-2 no-3 1481zpi (σ = 1)]]
| |
| |216.192309734
| |
| |5.55061371737
| |
| |1.71109
| |
| |[[502ed5]]
| |
| |2786.40808612
| |
| |17
| |
| |17
| |
| |-
| |
| |[[no-2 no-3 1535zpi (σ = 1)]]
| |
| |222.644199436
| |
| |5.38976538818
| |
| |1.69521
| |
| |[[517ed5]]
| |
| |2786.50870569
| |
| |25
| |
| |25
| |
| |-
| |
| |[[no-2 no-3 1549zpi (σ = 1)]]
| |
| |224.362977171
| |
| |5.34847600585
| |
| |1.69928
| |
| |[[521ed5]]
| |
| |2786.55599905
| |
| |29
| |
| |29
| |
| |-
| |
| |[[no-2 no-3 1553zpi (σ = 1)]]
| |
| |224.825007465
| |
| |5.33748453310
| |
| |1.70925
| |
| |[[522ed5]]
| |
| |2786.16692628
| |
| |37
| |
| |37
| |
| |-
| |
| |[[no-2 no-3 1582zpi (σ = 1)]]
| |
| |228.308062571
| |
| |5.25605616589
| |
| |1.66018
| |
| |[[530ed5]]
| |
| |2785.70976792
| |
| |35
| |
| |35
| |
| |-
| |
| |[[no-2 no-3 1585zpi (σ = 1)]]
| |
| |228.660777319
| |
| |5.24794857286
| |
| |1.63087
| |
| |[[531ed5]]
| |
| |2786.66069219
| |
| |13
| |
| |13
| |
| |-
| |
| |[[no-2 no-3 1657zpi (σ = 1)]]
| |
| |237.287583943
| |
| |5.05715461408
| |
| |1.64045
| |
| |[[551ed5]]
| |
| |2786.49219236
| |
| |19
| |
| |19
| |
| |-
| |
| |[[no-2 no-3 1675zpi (σ = 1)]]
| |
| |239.399620091
| |
| |5.01253928282
| |
| |1.64360
| |
| |[[556ed5]]
| |
| |2786.97184125
| |
| |13
| |
| |13
| |
| |-
| |
| |[[no-2 no-3 1687zpi (σ = 1)]]
| |
| |240.773124157
| |
| |4.98394496562
| |
| |1.78734
| |
| |[[559ed5]]
| |
| |2786.02523578
| |
| |35
| |
| |35
| |
| |-
| |
| |[[no-2 no-3 1723zpi (σ = 1)]]
| |
| |245.097933582
| |
| |4.89600211011
| |
| |1.70978
| |
| |[[569ed5]]
| |
| |2785.82520065
| |
| |25
| |
| |25
| |
| |-
| |
| |[[no-2 no-3 1763zpi (σ = 1)]]
| |
| |249.738577955
| |
| |4.80502455738
| |
| |1.68685
| |
| |[[580ed5]]
| |
| |2786.91424328
| |
| |25
| |
| |25
| |
| |-
| |
| |[[no-2 no-3 1792zpi (σ = 1)]]
| |
| |253.230037362
| |
| |4.73877432750
| |
| |1.67948
| |
| |[[588ed5]]
| |
| |2786.39930457
| |
| |19
| |
| |19
| |
| |-
| |
| |[[no-2 no-3 1829zpi (σ = 1)]]
| |
| |257.550656754
| |
| |4.65927757717
| |
| |1.87016
| |
| |[[598ed5]]
| |
| |2786.24799115
| |
| |41
| |
| |41
| |
| |-
| |
| |[[no-2 no-3 1899zpi (σ = 1)]]
| |
| |265.713323283
| |
| |4.51614538997
| |
| |1.66869
| |
| |[[617ed5]]
| |
| |2786.46170561
| |
| |17
| |
| |17
| |
| |-
| |
| |[[no-2 no-3 1966zpi (σ = 1)]]
| |
| |273.500307403
| |
| |4.38756362431
| |
| |1.72141
| |
| |[[635ed5]]
| |
| |2786.10290144
| |
| |25
| |
| |25
| |
| |-
| |
| |[[no-2 no-3 1973zpi (σ = 1)]]
| |
| |274.308106457
| |
| |4.37464286237
| |
| |1.71720
| |
| |[[637ed5]]
| |
| |2786.64750333
| |
| |25
| |
| |25
| |
| |-
| |
| |[[no-2 no-3 2025zpi (σ = 1)]]
| |
| |280.352563990
| |
| |4.28032468447
| |
| |1.68610
| |
| |[[651ed5]]
| |
| |2786.49136959
| |
| |11
| |
| |11
| |
| |-
| |
| |[[no-2 no-3 2040zpi (σ = 1)]]
| |
| |282.106226052
| |
| |4.25371682432
| |
| |1.65977
| |
| |[[655ed5]]
| |
| |2786.18451993
| |
| |25
| |
| |25
| |
| |} | | |} |
|
| |
|