45zpi: Difference between revisions

Contribution (talk | contribs)
Contribution (talk | contribs)
Line 510: Line 510:


== Approximation to JI ==
== Approximation to JI ==
{| class="wikitable center-1 right-2 right-3 mw-collapsible mw-collapsed"
|+ style="white-space: nowrap;" | Intervals by direct approximation (even if inconsistent)
|-
! Ratio
! Error (abs, [[Cent|¢]])
! Error (rel, [[Relative cent|%]])
|-
| [[23/15]]
| -0.002
| -0.003
|-
| ''[[32/7]]''
| ''+0.034''
| ''+0.042''
|-
| '''[[19/1]]'''
| '''-0.321'''
| '''-0.390'''
|-
| '''[[13/1]]'''
| '''+0.479'''
| '''+0.583'''
|-
| ''[[11/10]]''
| ''+0.558''
| ''+0.679''
|-
| ''[[25/8]]''
| ''-0.728''
| ''-0.885''
|-
| [[19/13]]
| -0.800
| -0.973
|-
| [[29/5]]
| +1.008
| +1.226
|-
| [[23/13]]
| +1.069
| +1.300
|-
| [[15/13]]
| +1.072
| +1.303
|-
| ''[[29/24]]''
| ''-1.270''
| ''-1.545''
|-
| ''[[31/12]]''
| ''-1.382''
| ''-1.681''
|-
| ''[[27/16]]''
| ''+1.411''
| ''+1.716''
|-
| '''[[23/1]]'''
| '''+1.548'''
| '''+1.883'''
|-
| [[15/1]]
| +1.551
| +1.886
|-
| [[22/21]]
| -1.686
| -2.051
|-
| [[23/19]]
| +1.869
| +2.273
|-
| [[19/15]]
| -1.871
| -2.276
|-
| ''[[32/19]]''
| ''-1.967''
| ''-2.393''
|-
| [[19/7]]
| +2.002
| +2.434
|-
| ''[[21/20]]''
| ''+2.244''
| ''+2.729''
|-
| ''[[24/5]]''
| ''+2.278''
| ''+2.771''
|-
| ''[[32/1]]''
| ''-2.288''
| ''-2.783''
|-
| '''[[7/1]]'''
| '''-2.322'''
| '''-2.824'''
|-
| ''[[28/3]]''
| ''+2.384''
| ''+2.900''
|-
| [[18/5]]
| -2.428
| -2.953
|-
| ''[[32/13]]''
| ''-2.767''
| ''-3.365''
|-
| [[13/7]]
| +2.801
| +3.407
|-
| [[31/9]]
| +3.324
| +4.043
|-
| [[30/17]]
| -3.364
| -4.092
|-
| [[29/18]]
| +3.436
| +4.179
|-
| ''[[32/23]]''
| ''-3.836''
| ''-4.666''
|-
| ''[[32/15]]''
| ''-3.839''
| ''-4.669''
|-
| [[23/7]]
| +3.870
| +4.707
|-
| [[15/7]]
| +3.873
| +4.710
|-
| [[25/6]]
| +3.979
| +4.839
|-
| [[22/3]]
| -4.008
| -4.875
|-
| [[26/17]]
| -4.436
| -5.395
|-
| ''[[20/3]]''
| ''-4.566''
| ''-5.553''
|-
| ''[[24/7]]''
| ''-4.672''
| ''-5.682''
|-
| ''[[4/3]]''
| ''+4.706''
| ''+5.724''
|-
| ''[[23/20]]''
| ''-4.709''
| ''-5.727''
|-
| [[17/2]]
| +4.915
| +5.977
|-
| [[22/15]]
| +5.264
| +6.402
|-
| [[23/22]]
| -5.267
| -6.405
|-
| ''[[20/13]]''
| ''+5.778''
| ''+7.027''
|-
| [[17/6]]
| -5.908
| -7.186
|-
| [[29/7]]
| -5.942
| -7.227
|-
| ''[[32/29]]''
| ''+5.977''
| ''+7.269''
|-
| ''[[31/16]]''
| ''-6.088''
| ''-7.404''
|-
| ''[[9/4]]''
| ''+6.117''
| ''+7.439''
|-
| ''[[20/1]]''
| ''+6.257''
| ''+7.610''
|-
| [[22/13]]
| +6.336
| +7.706
|-
| ''[[14/11]]''
| ''+6.392''
| ''+7.774''
|-
| ''[[20/19]]''
| ''+6.578''
| ''+8.000''
|-
| ''[[24/19]]''
| ''-6.674''
| ''-8.116''
|-
| [[22/1]]
| +6.815
| +8.288
|-
| [[25/18]]
| -6.844
| -8.324
|-
| [[7/5]]
| +6.950
| +8.453
|-
| [[23/21]]
| -6.953
| -8.456
|-
| ''[[32/5]]''
| ''+6.984''
| ''+8.495''
|-
| ''[[24/1]]''
| ''-6.994''
| ''-8.506''
|-
| ''[[21/4]]''
| ''-7.028''
| ''-8.548''
|-
| ''[[27/10]]''
| ''-7.134''
| ''-8.677''
|-
| [[22/19]]
| +7.136
| +8.678
|-
| [[17/14]]
| +7.237
| +8.802
|-
| ''[[24/13]]''
| ''-7.473''
| ''-9.089''
|-
| [[31/27]]
| -7.499
| -9.120
|-
| [[27/11]]
| -7.692
| -9.355
|-
| [[29/19]]
| -7.944
| -9.661
|-
| [[21/13]]
| +8.022
| +9.756
|-
| '''[[29/1]]'''
| '''-8.265'''
| '''-10.051'''
|-
| ''[[28/9]]''
| ''-8.439''
| ''-10.264''
|-
| [[21/1]]
| +8.501
| +10.339
|-
| ''[[24/23]]''
| ''-8.542''
| ''-10.389''
|-
| ''[[8/5]]''
| ''-8.545''
| ''-10.392''
|-
| ''[[20/7]]''
| ''+8.579''
| ''+10.434''
|-
| ''[[11/2]]''
| ''-8.714''
| ''-10.599''
|-
| [[29/13]]
| -8.744
| -10.634
|-
| [[21/19]]
| +8.822
| +10.729
|-
| [[19/5]]
| +8.952
| +10.887
|-
| ''[[16/11]]''
| ''-9.103''
| ''-11.071''
|-
| [[22/7]]
| +9.137
| +11.113
|-
| ''[[26/11]]''
| ''+9.194''
| ''+11.181''
|-
| '''[[5/1]]'''
| '''-9.272'''
| '''-11.277'''
|-
| [[23/3]]
| -9.275
| -11.280
|-
| [[18/7]]
| -9.378
| -11.406
|-
| ''[[16/9]]''
| ''+9.413''
| ''+11.448''
|-
| ''[[31/4]]''
| ''+9.441''
| ''+11.483''
|-
| ''[[29/8]]''
| ''+9.553''
| ''+11.618''
|-
| [[13/5]]
| +9.751
| +11.860
|-
| [[29/23]]
| -9.813
| -11.934
|-
| [[29/15]]
| -9.815
| -11.937
|-
| [[25/17]]
| +9.887
| +12.025
|-
| ''[[30/11]]''
| ''+10.265''
| ''+12.485''
|-
| [[29/25]]
| +10.280
| +12.503
|-
| [[13/3]]
| -10.344
| -12.581
|-
| ''[[17/8]]''
| ''-10.615''
| ''-12.909''
|-
| ''[[32/21]]''
| ''-10.789''
| ''-13.122''
|-
| [[23/5]]
| +10.821
| +13.160
|-
| '''[[3/1]]'''
| '''+10.823'''
| '''+13.163'''
|-
| [[19/3]]
| -11.144
| -13.553
|-
| [[19/18]]
| +11.380
| +13.840
|-
| ''[[25/24]]''
| ''-11.551''
| ''-14.048''
|-
| ''[[28/15]]''
| ''+11.657''
| ''+14.177''
|-
| ''[[28/23]]''
| ''+11.659''
| ''+14.180''
|-
| [[18/1]]
| -11.701
| -14.230
|-
| ''[[31/28]]''
| ''+11.763''
| ''+14.307''
|-
| [[18/13]]
| -12.180
| -14.813
|-
| ''[[28/13]]''
| ''+12.728''
| ''+15.480''
|-
| ''[[32/3]]''
| ''-13.111''
| ''-15.946''
|-
| [[7/3]]
| -13.145
| -15.987
|-
| ''[[28/1]]''
| ''+13.207''
| ''+16.063''
|-
| [[23/18]]
| +13.249
| +16.113
|-
| [[6/5]]
| -13.251
| -16.116
|-
| ''[[28/19]]''
| ''+13.528''
| ''+16.453''
|-
| ''[[17/11]]''
| ''+13.629''
| ''+16.576''
|-
| ''[[12/11]]''
| ''-13.809''
| ''-16.795''
|-
| ''[[15/4]]''
| ''-13.979''
| ''-17.001''
|-
| ''[[23/4]]''
| ''-13.981''
| ''-17.004''
|-
| ''[[27/14]]''
| ''-14.085''
| ''-17.130''
|-
| [[31/3]]
| +14.148
| +17.206
|-
| [[17/10]]
| +14.187
| +17.255
|-
| [[29/6]]
| +14.259
| +17.342
|-
| [[26/25]]
| -14.323
| -17.420
|-
| ''[[29/20]]''
| ''-14.522''
| ''-17.661''
|-
| ''[[31/10]]''
| ''-14.633''
| ''-17.797''
|-
| [[25/2]]
| +14.802
| +18.002
|-
| [[22/9]]
| -14.831
| -18.038
|-
| ''[[13/4]]''
| ''-15.050''
| ''-18.304''
|-
| [[29/22]]
| -15.079
| -18.340
|-
| [[31/11]]
| -15.191
| -18.475
|-
| ''[[20/9]]''
| ''-15.389''
| ''-18.717''
|-
| ''[[8/7]]''
| ''-15.495''
| ''-18.845''
|-
| ''[[4/1]]''
| ''+15.529''
| ''+18.887''
|-
| ''[[19/4]]''
| ''-15.850''
| ''-19.277''
|-
| [[22/5]]
| +16.087
| +19.566
|-
| [[25/7]]
| -16.223
| -19.730
|-
| ''[[32/25]]''
| ''+16.257''
| ''+19.772''
|-
| ''[[27/2]]''
| ''-16.407''
| ''-19.954''
|-
| [[31/21]]
| +16.470
| +20.030
|-
| [[18/17]]
| +16.731
| +20.349
|-
| [[29/21]]
| -16.766
| -20.390
|-
| ''[[27/26]]''
| ''-16.886''
| ''-20.537''
|-
| ''[[27/4]]''
| ''+16.940''
| ''+20.603''
|-
| [[25/14]]
| +17.124
| +20.826
|-
| ''[[19/8]]''
| ''+17.497''
| ''+21.280''
|-
| [[21/5]]
| +17.773
| +21.616
|-
| ''[[8/1]]''
| ''-17.817''
| ''-21.670''
|-
| ''[[7/4]]''
| ''-17.852''
| ''-21.711''
|-
| ''[[10/9]]''
| ''+17.957''
| ''+21.840''
|-
| [[31/22]]
| +18.156
| +22.081
|-
| [[25/19]]
| -18.224
| -22.164
|-
| ''[[13/8]]''
| ''+18.296''
| ''+22.252''
|-
| [[11/9]]
| +18.515
| +22.519
|-
| [[25/1]]
| -18.545
| -22.554
|-
| ''[[31/20]]''
| ''+18.714''
| ''+22.760''
|-
| [[25/13]]
| -19.024
| -23.137
|-
| [[29/3]]
| -19.088
| -23.215
|-
| [[17/5]]
| -19.160
| -23.302
|-
| ''[[28/27]]''
| ''-19.262''
| ''-23.427''
|-
| ''[[23/8]]''
| ''+19.366''
| ''+23.553''
|-
| ''[[15/8]]''
| ''+19.368''
| ''+23.556''
|-
| ''[[11/6]]''
| ''-19.538''
| ''-23.762''
|-
| [[25/23]]
| -20.093
| -24.437
|-
| [[5/3]]
| -20.096
| -24.440
|-
| [[23/9]]
| -20.098
| -24.443
|-
| [[29/17]]
| +20.167
| +24.528
|-
| [[7/6]]
| +20.202
| +24.569
|-
| ''[[16/3]]''
| ''+20.236''
| ''+24.611''
|-
| [[13/9]]
| -21.167
| -25.744
|-
| ''[[27/17]]''
| ''-21.322''
| ''-25.931''
|-
| ''[[24/17]]''
| ''+21.438''
| ''+26.073''
|-
| ''[[29/28]]''
| ''-21.472''
| ''-26.114''
|-
| ''[[31/14]]''
| ''-21.583''
| ''-26.250''
|-
| [[9/1]]
| +21.646
| +26.326
|-
| [[19/9]]
| -21.967
| -26.716
|-
| [[19/6]]
| +22.203
| +27.003
|-
| ''[[28/5]]''
| ''+22.480''
| ''+27.340''
|-
| [[6/1]]
| -22.524
| -27.393
|-
| ''[[21/16]]''
| ''-22.558''
| ''-27.435''
|-
| ''[[17/16]]''
| ''+22.732''
| ''+27.647''
|-
| [[13/6]]
| +23.003
| +27.976
|-
| [[31/15]]
| +23.420
| +28.483
|-
| [[31/23]]
| +23.422
| +28.486
|-
| ''[[25/11]]''
| ''+23.516''
| ''+28.601''
|-
| [[30/29]]
| -23.532
| -28.619
|-
| [[26/5]]
| -23.595
| -28.697
|-
| ''[[29/4]]''
| ''-23.794''
| ''-28.938''
|-
| ''[[31/2]]''
| ''-23.906''
| ''-29.074''
|-
| ''[[32/9]]''
| ''-23.934''
| ''-29.109''
|-
| [[9/7]]
| +23.968
| +29.151
|-
| [[23/6]]
| +24.072
| +29.276
|-
| [[5/2]]
| +24.074
| +29.279
|-
| ''[[11/8]]''
| ''-24.244''
| ''-29.486''
|-
| ''[[31/26]]''
| ''-24.385''
| ''-29.657''
|-
| [[31/13]]
| +24.492
| +29.787
|-
| [[29/26]]
| +24.603
| +29.923
|-
| ''[[11/4]]''
| ''+24.632''
| ''+29.958''
|-
| ''[[5/4]]''
| ''-24.802''
| ''-30.164''
|-
| ''[[23/12]]''
| ''-24.804''
| ''-30.167''
|-
| ''[[14/9]]''
| ''+24.908''
| ''+30.293''
|-
| '''[[31/1]]'''
| '''+24.971'''
| '''+30.369'''
|-
| [[29/2]]
| +25.082
| +30.505
|-
| [[31/19]]
| +25.291
| +30.759
|-
| [[25/22]]
| -25.360
| -30.843
|-
| ''[[31/30]]''
| ''-25.456''
| ''-30.960''
|-
| [[27/22]]
| +25.655
| +31.201
|-
| ''[[13/12]]''
| ''-25.874''
| ''-31.468''
|-
| [[17/7]]
| -26.110
| -31.755
|-
| ''[[32/17]]''
| ''+26.144''
| ''+31.796''
|-
| ''[[27/20]]''
| ''+26.213''
| ''+31.880''
|-
| ''[[21/8]]''
| ''+26.318''
| ''+32.009''
|-
| ''[[12/1]]''
| ''+26.353''
| ''+32.050''
|-
| [[14/5]]
| -26.397
| -32.104
|-
| ''[[19/12]]''
| ''-26.673''
| ''-32.440''
|-
| ''[[28/11]]''
| ''-26.955''
| ''-32.782''
|-
| [[25/21]]
| -27.046
| -32.893
|-
| ''[[9/2]]''
| ''-27.230''
| ''-33.117''
|-
| ''[[32/31]]''
| ''-27.259''
| ''-33.152''
|-
| [[31/7]]
| +27.293
| +33.194
|-
| [[29/14]]
| +27.404
| +33.329
|-
| [[17/12]]
| +27.439
| +33.371
|-
| ''[[26/9]]''
| ''+27.709''
| ''+33.700''
|-
| [[19/17]]
| +28.111
| +34.189
|-
| '''[[17/1]]'''
| '''-28.432'''
| '''-34.579'''
|-
| ''[[8/3]]''
| ''-28.641''
| ''-34.833''
|-
| ''[[12/7]]''
| ''+28.675''
| ''+34.874''
|-
| ''[[10/3]]''
| ''+28.781''
| ''+35.003''
|-
| ''[[31/17]]''
| ''-28.820''
| ''-35.052''
|-
| [[17/13]]
| -28.911
| -35.162
|-
| [[11/3]]
| +29.339
| +35.682
|-
| [[25/3]]
| -29.368
| -35.718
|-
| [[30/7]]
| -29.474
| -35.846
|-
| ''[[16/15]]''
| ''+29.508''
| ''+35.888''
|-
| ''[[23/16]]''
| ''-29.511''
| ''-35.891''
|-
| [[29/9]]
| -29.911
| -36.378
|-
| [[23/17]]
| +29.980
| +36.462
|-
| [[17/15]]
| -29.983
| -36.465
|-
| ''[[18/11]]''
| ''+30.361''
| ''+36.925''
|-
| [[26/7]]
| -30.546
| -37.150
|-
| ''[[16/13]]''
| ''+30.580''
| ''+37.191''
|-
| [[9/5]]
| +30.919
| +37.604
|-
| [[27/23]]
| +30.921
| +37.607
|-
| [[7/2]]
| +31.025
| +37.732
|-
| ''[[16/1]]''
| ''+31.059''
| ''+37.774''
|-
| ''[[21/10]]''
| ''-31.103''
| ''-37.827''
|-
| ''[[27/25]]''
| ''-31.209''
| ''-37.956''
|-
| ''[[19/16]]''
| ''-31.379''
| ''-38.164''
|-
| [[30/19]]
| -31.476
| -38.281
|-
| [[21/11]]
| -31.661
| -38.506
|-
| ''[[28/25]]''
| ''+31.752''
| ''+38.617''
|-
| [[30/1]]
| -31.796
| -38.671
|-
| ''[[27/8]]''
| ''-31.936''
| ''-38.841''
|-
| ''[[31/24]]''
| ''+31.965''
| ''+38.876''
|-
| [[27/13]]
| +31.990
| +38.907
|-
| ''[[17/9]]''
| ''+32.145''
| ''+39.095''
|-
| [[30/13]]
| -32.275
| -39.253
|-
| [[27/1]]
| +32.469
| +39.489
|-
| [[26/19]]
| -32.547
| -39.584
|-
| ''[[25/16]]''
| ''+32.619''
| ''+39.672''
|-
| ''[[11/5]]''
| ''-32.789''
| ''-39.878''
|-
| [[27/19]]
| +32.790
| +39.879
|-
| [[26/1]]
| -32.868
| -39.974
|-
| [[19/2]]
| +33.026
| +40.167
|-
| [[31/29]]
| +33.235
| +40.421
|-
| [[30/23]]
| -33.344
| -40.554
|-
| '''[[2/1]]'''
| '''-33.347'''
| '''-40.557'''
|-
| ''[[16/7]]''
| ''+33.381''
| ''+40.598''
|-
| ''[[29/11]]''
| ''+33.797''
| ''+41.104''
|-
| [[13/2]]
| +33.826
| +41.139
|-
| ''[[20/11]]''
| ''-33.905''
| ''-41.235''
|-
| ''[[25/4]]''
| ''-34.074''
| ''-41.441''
|-
| [[31/5]]
| +34.243
| +41.647
|-
| [[29/10]]
| +34.355
| +41.782
|-
| [[26/23]]
| -34.416
| -41.857
|-
| [[26/15]]
| -34.419
| -41.860
|-
| ''[[29/12]]''
| ''-34.617''
| ''-42.101''
|-
| ''[[20/17]]''
| ''+34.689''
| ''+42.189''
|-
| ''[[31/6]]''
| ''-34.729''
| ''-42.237''
|-
| ''[[32/27]]''
| ''-34.757''
| ''-42.272''
|-
| [[27/7]]
| +34.792
| +42.314
|-
| [[23/2]]
| +34.895
| +42.439
|-
| [[15/2]]
| +34.898
| +42.442
|-
| ''[[24/11]]''
| ''+35.067''
| ''+42.649''
|-
| [[22/17]]
| +35.247
| +42.867
|-
| [[19/14]]
| +35.348
| +42.991
|-
| ''[[12/5]]''
| ''+35.625''
| ''+43.327''
|-
| [[14/1]]
| -35.669
| -43.381
|-
| ''[[14/3]]''
| ''+35.731''
| ''+43.456''
|-
| [[14/13]]
| -36.148
| -43.963
|-
| [[31/18]]
| +36.671
| +44.600
|-
| [[21/17]]
| +36.933
| +44.918
|-
| [[23/14]]
| +37.217
| +45.264
|-
| [[15/14]]
| +37.220
| +45.267
|-
| [[25/12]]
| +37.326
| +45.395
|-
| ''[[3/2]]''
| ''-38.053''
| ''-46.280''
|-
| ''[[23/10]]''
| ''-38.056''
| ''-46.283''
|-
| [[17/4]]
| +38.262
| +46.534
|-
| ''[[26/3]]''
| ''+38.532''
| ''+46.863''
|-
| [[15/11]]
| -38.611
| -46.959
|-
| [[23/11]]
| -38.614
| -46.962
|-
| ''[[31/25]]''
| ''-38.707''
| ''-47.076''
|-
| ''[[13/10]]''
| ''-39.125''
| ''-47.584''
|-
| [[17/3]]
| -39.255
| -47.742
|-
| ''[[29/16]]''
| ''-39.323''
| ''-47.825''
|-
| ''[[31/8]]''
| ''-39.435''
| ''-47.961''
|-
| ''[[9/8]]''
| ''+39.464''
| ''+47.996''
|-
| ''[[10/1]]''
| ''+39.604''
| ''+48.166''
|-
| [[13/11]]
| -39.683
| -48.262
|-
| ''[[11/7]]''
| ''-39.739''
| ''-48.331''
|-
| ''[[32/11]]''
| ''+39.773''
| ''+48.372''
|-
| ''[[19/10]]''
| ''-39.924''
| ''-48.556''
|-
| '''[[11/1]]'''
| '''+40.162'''
| '''+48.845'''
|-
| [[25/9]]
| -40.191
| -48.881
|-
| [[10/7]]
| -40.297
| -49.010
|-
| ''[[16/5]]''
| ''+40.331''
| ''+49.051''
|-
| ''[[21/2]]''
| ''-40.375''
| ''-49.105''
|-
| ''[[27/5]]''
| ''-40.481''
| ''-49.233''
|-
| [[19/11]]
| -40.482
| -49.235
|-
| [[28/17]]
| -40.584
| -49.358
|-
| [[29/27]]
| -40.734
| -49.541
|-
| ''[[26/21]]''
| ''+40.854''
| ''+49.687''
|}
{{Stub}}
{{Stub}}


[[Category:Zeta peak indexes]]
[[Category:Zeta peak indexes]]