User:Inthar/311edo: Difference between revisions

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Inthar (talk | contribs)
autopatrolled, emailconfirmed
15,668 edits
Line 1,247: Line 1,247:
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== Mapping of the 41-prime-limited add-73 77-odd-limit ==
== Mapping of the 41-prime-limited add-73 77-odd-limit ==
Only intervals < 600¢ are shown.
{| class="wikitable"
| colspan="1" rowspan="2" |Ratio (ascending)
| colspan="1" rowspan="2" |Just value
| colspan="2" rowspan="1" |311edo mapping
| colspan="1" rowspan="2" |Error (cents)
| colspan="1" rowspan="2" |MITTOOT? (Error < 1\1244 = 0.964630¢?)
|-
|Steps
|Cents
|-
|78/77
|22.338814
|6
|23.151125
|0.812312
|TRUE
|-
|77/76
|22.630833
|6
|23.151125
|0.520293
|TRUE
|-
|76/75
|22.930588
|6
|23.151125
|0.220538
|TRUE
|-
|75/74
|23.238390
|6
|23.151125
| -0.087264
|TRUE
|-
|74/73
|23.554568
|6
|23.151125
| -0.403443
|TRUE
|-
|73/72
|23.879469
|6
|23.151125
| -0.728344
|TRUE
|-
|70/69
|24.910272
|6
|23.151125
| -1.759147
|FALSE
|-
|69/68
|25.273939
|7
|27.009646
|1.735708
|FALSE
|-
|66/65
|26.431568
|7
|27.009646
|0.578079
|TRUE
|-
|65/64
|26.841376
|7
|27.009646
|0.168271
|TRUE
|-
|64/63
|27.264092
|7
|27.009646
| -0.254445
|TRUE
|-
|63/62
|27.700336
|7
|27.009646
| -0.690689
|TRUE
|-
|58/57
|30.109177
|8
|30.868167
|0.758990
|TRUE
|-
|57/56
|30.642111
|8
|30.868167
|0.226057
|TRUE
|-
|56/55
|31.194250
|8
|30.868167
| -0.326083
|TRUE
|-
|55/54
|31.766654
|8
|30.868167
| -0.898486
|TRUE
|-
|52/51
|33.617251
|9
|34.726688
|1.109437
|FALSE
|-
|51/50
|34.282983
|9
|34.726688
|0.443705
|TRUE
|-
|50/49
|34.975615
|9
|34.726688
| -0.248927
|TRUE
|-
|49/48
|35.696812
|9
|34.726688
| -0.970124
|FALSE
|-
|46/45
|38.050632
|10
|38.585209
|0.534577
|TRUE
|-
|45/44
|38.905773
|10
|38.585209
| -0.320564
|TRUE
|-
|42/41
|41.718502
|11
|42.443730
|0.725228
|TRUE
|-
|41/40
|42.748692
|11
|42.443730
| -0.304962
|TRUE
|-
|40/39
|43.831051
|11
|42.443730
| -1.387321
|FALSE
|-
|39/38
|44.969647
|12
|46.302251
|1.332604
|FALSE
|-
|77/75
|45.561420
|12
|46.302251
|0.740831
|TRUE
|-
|38/37
|46.168977
|12
|46.302251
|0.133273
|TRUE
|-
|75/73
|46.792958
|12
|46.302251
| -0.490707
|TRUE
|-
|37/36
|47.434037
|12
|46.302251
| -1.131786
|FALSE
|-
|36/35
|48.770381
|13
|50.160772
|1.390390
|FALSE
|-
|35/34
|50.184211
|13
|50.160772
| -0.023439
|TRUE
|-
|34/33
|51.682466
|13
|50.160772
| -1.521695
|FALSE
|-
|33/32
|53.272943
|14
|54.019293
|0.746349
|TRUE
|-
|65/63
|54.105467
|14
|54.019293
| -0.086175
|TRUE
|-
|32/31
|54.964428
|14
|54.019293
| -0.945135
|TRUE
|-
|31/30
|56.766858
|15
|57.877814
|1.110956
|FALSE
|-
|30/29
|58.691521
|15
|57.877814
| -0.813707
|TRUE
|-
|29/28
|60.751288
|16
|61.736334
|0.985047
|FALSE
|-
|57/55
|61.836361
|16
|61.736334
| -0.100026
|TRUE
|-
|28/27
|62.960904
|16
|61.736334
| -1.224569
|FALSE
|-
|27/26
|65.337341
|17
|65.594855
|0.257514
|TRUE
|-
|80/77
|66.169865
|17
|65.594855
| -0.575010
|TRUE
|-
|26/25
|67.900234
|18
|69.453376
|1.553142
|FALSE
|-
|77/74
|68.799810
|18
|69.453376
|0.653566
|TRUE
|-
|51/49
|69.258597
|18
|69.453376
|0.194779
|TRUE
|-
|76/73
|69.723545
|18
|69.453376
| -0.270169
|TRUE
|-
|25/24
|70.672427
|18
|69.453376
| -1.219051
|FALSE
|-
|73/70
|72.649850
|19
|73.311897
|0.662047
|TRUE
|-
|24/23
|73.680654
|19
|73.311897
| -0.368756
|TRUE
|-
|23/22
|76.956405
|20
|77.170418
|0.214013
|TRUE
|-
|68/65
|78.114034
|20
|77.170418
| -0.943616
|TRUE
|-
|22/21
|80.537035
|21
|81.028939
|0.491904
|TRUE
|-
|65/62
|81.805803
|21
|81.028939
| -0.776864
|TRUE
|-
|21/20
|84.467193
|22
|84.887460
|0.420266
|TRUE
|-
|41/39
|86.579743
|22
|84.887460
| -1.692283
|FALSE
|-
|20/19
|88.800698
|23
|88.745981
| -0.054717
|TRUE
|-
|39/37
|91.138624
|24
|92.604502
|1.465878
|FALSE
|-
|58/55
|91.945538
|24
|92.604502
|0.658964
|TRUE
|-
|77/73
|92.354378
|24
|92.604502
|0.250123
|TRUE
|-
|19/18
|93.603014
|24
|92.604502
| -0.998513
|FALSE
|-
|37/35
|96.204418
|25
|96.463023
|0.258604
|TRUE
|-
|55/52
|97.103994
|25
|96.463023
| -0.640972
|TRUE
|-
|73/69
|97.560123
|25
|96.463023
| -1.097100
|FALSE
|-
|18/17
|98.954592
|26
|100.321543
|1.366951
|FALSE
|-
|35/33
|101.866677
|26
|100.321543
| -1.545134
|FALSE
|-
|52/49
|102.875849
|27
|104.180064
|1.304215
|FALSE
|-
|69/65
|103.387972
|27
|104.180064
|0.792092
|TRUE
|-
|17/16
|104.955410
|27
|104.180064
| -0.775345
|TRUE
|-
|33/31
|108.237371
|28
|108.038585
| -0.198786
|TRUE
|-
|82/77
|108.918557
|28
|108.038585
| -0.879971
|TRUE
|-
|49/46
|109.377466
|28
|108.038585
| -1.338880
|FALSE
|-
|16/15
|111.731285
|29
|111.897106
|0.165821
|TRUE
|-
|78/73
|114.693192
|30
|115.755627
|1.062435
|FALSE
|-
|31/29
|115.458378
|30
|115.755627
|0.297249
|TRUE
|-
|77/72
|116.233847
|30
|115.755627
| -0.478220
|TRUE
|-
|15/14
|119.442808
|31
|119.614148
|0.171340
|TRUE
|-
|74/69
|121.114691
|31
|119.614148
| -1.500543
|FALSE
|-
|44/41
|122.255537
|32
|123.472669
|1.217132
|FALSE
|-
|73/68
|122.834061
|32
|123.472669
|0.638608
|TRUE
|-
|29/27
|123.712192
|32
|123.472669
| -0.239523
|TRUE
|-
|14/13
|128.298245
|33
|127.331190
| -0.967055
|FALSE
|-
|69/64
|130.229348
|34
|131.189711
|0.960362
|TRUE
|-
|55/51
|130.721246
|34
|131.189711
|0.468465
|TRUE
|-
|41/38
|131.549389
|34
|131.189711
| -0.359679
|TRUE
|-
|68/63
|132.219501
|34
|131.189711
| -1.029791
|FALSE
|-
|27/25
|133.237575
|35
|135.048232
|1.810657
|FALSE
|-
|40/37
|134.969675
|35
|135.048232
|0.078556
|TRUE
|-
|13/12
|138.572661
|36
|138.906752
|0.334092
|TRUE
|-
|38/35
|142.373396
|37
|142.765273
|0.391878
|TRUE
|-
|63/58
|143.158714
|37
|142.765273
| -0.393441
|TRUE
|-
|25/23
|144.353080
|37
|142.765273
| -1.587807
|FALSE
|-
|62/57
|145.567555
|38
|146.623794
|1.056239
|FALSE
|-
|37/34
|146.388629
|38
|146.623794
|0.235165
|TRUE
|-
|49/45
|147.428097
|38
|146.623794
| -0.804303
|TRUE
|-
|12/11
|150.637059
|39
|150.482315
| -0.154743
|TRUE
|-
|82/75
|154.479977
|40
|154.340836
| -0.139141
|TRUE
|-
|35/32
|155.139620
|40
|154.340836
| -0.798784
|TRUE
|-
|23/21
|157.493440
|41
|158.199357
|0.705917
|TRUE
|-
|80/73
|158.524243
|41
|158.199357
| -0.324886
|TRUE
|-
|57/52
|158.940355
|41
|158.199357
| -0.740998
|TRUE
|-
|34/31
|159.919837
|41
|158.199357
| -1.720480
|FALSE
|-
|45/41
|161.161310
|42
|162.057878
|0.896568
|TRUE
|-
|56/51
|161.915496
|42
|162.057878
|0.142382
|TRUE
|-
|11/10
|165.004228
|43
|165.916399
|0.912170
|TRUE
|-
|76/69
|167.283668
|43
|165.916399
| -1.367269
|FALSE
|-
|54/49
|168.213190
|44
|169.774920
|1.561730
|FALSE
|-
|75/68
|169.627019
|44
|169.774920
|0.147901
|TRUE
|-
|32/29
|170.422806
|44
|169.774920
| -0.647886
|TRUE
|-
|21/19
|173.267891
|45
|173.633441
|0.365549
|TRUE
|-
|73/66
|174.516527
|45
|173.633441
| -0.883087
|TRUE
|-
|31/28
|176.209666
|46
|177.491961
|1.282295
|FALSE
|-
|72/65
|177.068626
|46
|177.491961
|0.423335
|TRUE
|-
|41/37
|177.718367
|46
|177.491961
| -0.226405
|TRUE
|-
|51/46
|178.636063
|46
|177.491961
| -1.144102
|FALSE
|-
|10/9
|182.403712
|47
|181.350482
| -1.053230
|FALSE
|-
|69/62
|185.193776
|48
|185.209003
|0.015228
|TRUE
|-
|49/44
|186.333871
|48
|185.209003
| -1.124867
|FALSE
|-
|39/35
|187.343042
|49
|189.067524
|1.724482
|FALSE
|-
|29/26
|189.049532
|49
|189.067524
|0.017992
|TRUE
|-
|77/69
|189.914501
|49
|189.067524
| -0.846977
|TRUE
|-
|19/17
|192.557607
|50
|192.926045
|0.368438
|TRUE
|-
|28/25
|196.198479
|51
|196.784566
|0.586087
|TRUE
|-
|65/58
|197.264181
|51
|196.784566
| -0.479616
|TRUE
|-
|37/33
|198.071096
|51
|196.784566
| -1.286530
|FALSE
|-
|46/41
|199.211942
|52
|200.643087
|1.431145
|FALSE
|-
|55/49
|199.979843
|52
|200.643087
|0.663244
|TRUE
|-
|64/57
|200.531983
|52
|200.643087
|0.111104
|TRUE
|-
|73/65
|200.948095
|52
|200.643087
| -0.305008
|TRUE
|-
|82/73
|201.272935
|52
|200.643087
| -0.629848
|TRUE
|-
|9/8
|203.910002
|53
|204.501608
|0.591606
|TRUE
|-
|62/55
|207.403916
|54
|208.360129
|0.956212
|TRUE
|-
|44/39
|208.835280
|54
|208.360129
| -0.475151
|TRUE
|-
|35/31
|210.104048
|54
|208.360129
| -1.743919
|FALSE
|-
|26/23
|212.253315
|55
|212.218650
| -0.034665
|TRUE
|-
|77/68
|215.188439
|56
|216.077170
|0.888731
|TRUE
|-
|17/15
|216.686695
|56
|216.077170
| -0.609524
|TRUE
|-
|42/37
|219.436869
|57
|219.935691
|0.498823
|TRUE
|-
|25/22
|221.309485
|57
|219.935691
| -1.373794
|FALSE
|-
|58/51
|222.666784
|58
|223.794212
|1.127428
|FALSE
|-
|33/29
|223.695749
|58
|223.794212
|0.098463
|TRUE
|-
|74/65
|224.502663
|58
|223.794212
| -0.708451
|TRUE
|-
|41/36
|225.152404
|58
|223.794212
| -1.358192
|FALSE
|-
|57/50
|226.840589
|59
|227.652733
|0.812144
|TRUE
|-
|65/57
|227.373359
|59
|227.652733
|0.279374
|TRUE
|-
|73/64
|227.789471
|59
|227.652733
| -0.136738
|TRUE
|-
|8/7
|231.174094
|60
|231.511254
|0.337160
|TRUE
|-
|63/55
|235.104252
|61
|235.369775
|0.265523
|TRUE
|-
|55/48
|235.676655
|61
|235.369775
| -0.306880
|TRUE
|-
|39/34
|237.527253
|62
|239.228296
|1.701043
|FALSE
|-
|31/27
|239.170570
|62
|239.228296
|0.057726
|TRUE
|-
|23/20
|241.960633
|63
|243.086817
|1.126183
|FALSE
|-
|84/73
|242.991437
|63
|243.086817
|0.095380
|TRUE
|-
|38/33
|244.240073
|63
|243.086817
| -1.153256
|FALSE
|-
|15/13
|247.741053
|64
|246.945338
| -0.795715
|TRUE
|-
|52/45
|250.303946
|65
|250.803859
|0.499912
|TRUE
|-
|37/32
|251.344039
|65
|250.803859
| -0.540180
|TRUE
|-
|22/19
|253.804926
|66
|254.662379
|0.857453
|TRUE
|-
|73/63
|255.053562
|66
|254.662379
| -0.391183
|TRUE
|-
|51/44
|255.592468
|66
|254.662379
| -0.930089
|TRUE
|-
|80/69
|256.084366
|66
|254.662379
| -1.421986
|FALSE
|-
|29/25
|256.949766
|67
|258.520900
|1.571134
|FALSE
|-
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|258.015469
|67
|258.520900
|0.505431
|TRUE
|-
|36/31
|258.874429
|67
|258.520900
| -0.353529
|TRUE
|-
|57/49
|261.816204
|68
|262.379421
|0.563217
|TRUE
|-
|64/55
|262.368344
|68
|262.379421
|0.011077
|TRUE
|-
|7/6
|266.870906
|69
|266.237942
| -0.632963
|TRUE
|-
|90/77
|270.079867
|70
|270.096463
|0.016596
|TRUE
|-
|76/65
|270.671640
|70
|270.096463
| -0.575177
|TRUE
|-
|48/41
|272.892595
|71
|273.954984
|1.062389
|FALSE
|-
|41/35
|273.922785
|71
|273.954984
|0.032199
|TRUE
|-
|75/64
|274.582429
|71
|273.954984
| -0.627445
|TRUE
|-
|34/29
|275.378215
|71
|273.954984
| -1.423231
|FALSE
|-
|88/75
|276.735514
|72
|277.813505
|1.077991
|FALSE
|-
|27/23
|277.590655
|72
|277.813505
|0.222849
|TRUE
|-
|74/63
|278.608131
|72
|277.813505
| -0.794626
|TRUE
|-
|20/17
|281.358304
|73
|281.672026
|0.313721
|TRUE
|-
|73/62
|282.753898
|73
|281.672026
| -1.081872
|FALSE
|-
|33/28
|284.447037
|74
|285.530547
|1.083510
|FALSE
|-
|46/39
|285.791685
|74
|285.530547
| -0.261138
|TRUE
|-
|13/11
|289.209719
|75
|289.389068
|0.179348
|TRUE
|-
|58/49
|291.925381
|76
|293.247588
|1.322207
|FALSE
|-
|45/38
|292.710699
|76
|293.247588
|0.536889
|TRUE
|-
|77/65
|293.302473
|76
|293.247588
| -0.054885
|TRUE
|-
|32/27
|294.134997
|76
|293.247588
| -0.887409
|TRUE
|-
|19/16
|297.513016
|77
|297.106109
| -0.406907
|TRUE
|-
|82/69
|298.833057
|77
|297.106109
| -1.726948
|FALSE
|-
|44/37
|299.973904
|78
|300.964630
|0.990727
|FALSE
|-
|69/58
|300.652154
|78
|300.964630
|0.312476
|TRUE
|-
|25/21
|301.846520
|78
|300.964630
| -0.881890
|TRUE
|-
|31/26
|304.507911
|79
|304.823151
|0.315240
|TRUE
|-
|68/57
|305.487393
|79
|304.823151
| -0.664241
|TRUE
|-
|37/31
|306.308466
|79
|304.823151
| -1.485315
|FALSE
|-
|92/77
|308.130498
|80
|308.681672
|0.551174
|TRUE
|-
|49/41
|308.589407
|80
|308.681672
|0.092265
|TRUE
|-
|55/46
|309.357309
|80
|308.681672
| -0.675637
|TRUE
|-
|6/5
|315.641287
|82
|316.398714
|0.757427
|TRUE
|-
|77/64
|320.143849
|83
|320.257235
|0.113386
|TRUE
|-
|65/54
|320.976373
|83
|320.257235
| -0.719138
|TRUE
|-
|88/73
|323.528472
|84
|324.115756
|0.587284
|TRUE
|-
|41/34
|324.106996
|84
|324.115756
|0.008760
|TRUE
|-
|76/63
|324.777108
|84
|324.115756
| -0.661352
|TRUE
|-
|35/29
|325.562426
|84
|324.115756
| -1.446671
|FALSE
|-
|29/24
|327.622193
|85
|327.974277
|0.352083
|TRUE
|-
|75/62
|329.546856
|85
|327.974277
| -1.572580
|FALSE
|-
|23/19
|330.761331
|86
|331.832797
|1.071466
|FALSE
|-
|63/52
|332.208246
|86
|331.832797
| -0.375449
|TRUE
|-
|40/33
|333.040771
|86
|331.832797
| -1.207973
|FALSE
|-
|17/14
|336.129503
|87
|335.691318
| -0.438185
|TRUE
|-
|62/51
|338.125162
|88
|339.549839
|1.424677
|FALSE
|-
|45/37
|338.879677
|88
|339.549839
|0.670162
|TRUE
|-
|73/60
|339.520756
|88
|339.549839
|0.029083
|TRUE
|-
|28/23
|340.551559
|88
|339.549839
| -1.001720
|FALSE
|-
|39/32
|342.482663
|89
|343.408360
|0.925697
|TRUE
|-
|50/41
|343.565022
|89
|343.408360
| -0.156662
|TRUE
|-
|11/9
|347.407941
|90
|347.266881
| -0.141060
|TRUE
|-
|60/49
|350.616902
|91
|351.125402
|0.508500
|TRUE
|-
|49/40
|351.338099
|91
|351.125402
| -0.212697
|TRUE
|-
|38/31
|352.477444
|91
|351.125402
| -1.352042
|FALSE
|-
|92/75
|353.691919
|92
|354.983923
|1.292004
|FALSE
|-
|27/22
|354.547060
|92
|354.983923
|0.436863
|TRUE
|-
|70/57
|355.671603
|92
|354.983923
| -0.687681
|TRUE
|-
|16/13
|359.472338
|93
|358.842444
| -0.629895
|TRUE
|-
|69/56
|361.403442
|94
|362.700965
|1.297523
|FALSE
|-
|90/73
|362.434245
|94
|362.700965
|0.266720
|TRUE
|-
|37/30
|363.075324
|94
|362.700965
| -0.374359
|TRUE
|-
|21/17
|365.825498
|95
|366.559486
|0.733988
|TRUE
|-
|68/55
|367.323753
|95
|366.559486
| -0.764268
|TRUE
|-
|26/21
|369.746754
|96
|370.418006
|0.671252
|TRUE
|-
|57/46
|371.193670
|96
|370.418006
| -0.775663
|TRUE
|-
|31/25
|372.408145
|97
|374.276527
|1.868383
|FALSE
|-
|36/29
|374.332808
|97
|374.276527
| -0.056280
|TRUE
|-
|77/62
|375.108276
|97
|374.276527
| -0.831749
|TRUE
|-
|41/33
|375.789462
|97
|374.276527
| -1.512935
|FALSE
|-
|46/37
|376.930309
|98
|378.135048
|1.204740
|FALSE
|-
|51/41
|377.848005
|98
|378.135048
|0.287043
|TRUE
|-
|56/45
|378.602191
|98
|378.135048
| -0.467143
|TRUE
|-
|96/77
|381.811152
|99
|381.993569
|0.182417
|TRUE
|-
|5/4
|386.313714
|100
|385.852090
| -0.461624
|TRUE
|-
|69/55
|392.597692
|102
|393.569132
|0.971440
|FALSE
|-
|64/51
|393.089590
|102
|393.569132
|0.479542
|TRUE
|-
|49/39
|395.169150
|102
|393.569132
| -1.600018
|FALSE
|-
|44/35
|396.178322
|103
|397.427653
|1.249331
|FALSE
|-
|39/31
|397.447090
|103
|397.427653
| -0.019437
|TRUE
|-
|73/58
|398.212277
|103
|397.427653
| -0.784624
|TRUE
|-
|34/27
|399.090407
|103
|397.427653
| -1.662754
|FALSE
|-
|63/50
|400.108480
|104
|401.286174
|1.177693
|FALSE
|-
|92/73
|400.484877
|104
|401.286174
|0.801297
|TRUE
|-
|29/23
|401.302847
|104
|401.286174
| -0.016673
|TRUE
|-
|82/65
|402.221030
|104
|401.286174
| -0.934856
|TRUE
|-
|24/19
|404.441985
|105
|405.144695
|0.702710
|TRUE
|-
|62/49
|407.383760
|106
|409.003215
|1.619456
|FALSE
|-
|19/15
|409.244301
|106
|409.003215
| -0.241086
|TRUE
|-
|52/41
|411.465256
|107
|412.861736
|1.396480
|FALSE
|-
|33/26
|412.745281
|107
|412.861736
|0.116455
|TRUE
|-
|80/63
|413.577806
|107
|412.861736
| -0.716069
|TRUE
|-
|14/11
|417.507964
|108
|416.720257
| -0.787707
|TRUE
|-
|65/51
|419.930965
|109
|420.578778
|0.647813
|TRUE
|-
|51/40
|420.596697
|109
|420.578778
| -0.017918
|TRUE
|-
|88/69
|421.088594
|109
|420.578778
| -0.509816
|TRUE
|-
|37/29
|421.766845
|109
|420.578778
| -1.188066
|FALSE
|-
|23/18
|424.364346
|110
|424.437299
|0.072953
|TRUE
|-
|32/25
|427.372572
|111
|428.295820
|0.923248
|TRUE
|-
|73/57
|428.321454
|111
|428.295820
| -0.025634
|TRUE
|-
|41/32
|429.062406
|111
|428.295820
| -0.766586
|TRUE
|-
|50/39
|430.144765
|111
|428.295820
| -1.848945
|FALSE
|-
|77/60
|431.875134
|112
|432.154341
|0.279207
|TRUE
|-
|9/7
|435.084095
|113
|436.012862
|0.928766
|TRUE
|-
|58/45
|439.353479
|114
|439.871383
|0.517904
|TRUE
|-
|49/38
|440.138797
|114
|439.871383
| -0.267414
|TRUE
|-
|40/31
|441.278141
|114
|439.871383
| -1.406759
|FALSE
|-
|31/24
|443.080572
|115
|443.729904
|0.649332
|TRUE
|-
|84/65
|443.939532
|115
|443.729904
| -0.209628
|TRUE
|-
|75/58
|445.005234
|115
|443.729904
| -1.275331
|FALSE
|-
|22/17
|446.362533
|116
|447.588424
|1.225892
|FALSE
|-
|57/44
|448.150075
|116
|447.588424
| -0.561650
|TRUE
|-
|35/27
|449.274618
|116
|447.588424
| -1.686193
|FALSE
|-
|48/37
|450.610962
|117
|451.446945
|0.835983
|TRUE
|-
|74/57
|451.876022
|117
|451.446945
| -0.429076
|TRUE
|-
|100/77
|452.483579
|117
|451.446945
| -1.036634
|FALSE
|-
|13/10
|454.213948
|118
|455.305466
|1.091518
|FALSE
|-
|82/63
|456.326497
|118
|455.305466
| -1.021031
|FALSE
|-
|73/56
|458.963564
|119
|459.163987
|0.200423
|TRUE
|-
|30/23
|459.994367
|119
|459.163987
| -0.830380
|TRUE
|-
|64/49
|462.348187
|120
|463.022508
|0.674321
|TRUE
|-
|98/75
|463.069384
|120
|463.022508
| -0.046876
|TRUE
|-
|17/13
|464.427748
|120
|463.022508
| -1.405240
|FALSE
|-
|72/55
|466.278346
|121
|466.881029
|0.602683
|TRUE
|-
|55/42
|466.850749
|121
|466.881029
|0.030280
|TRUE
|-
|38/29
|467.935822
|121
|466.881029
| -1.054793
|FALSE
|-
|21/16
|470.780907
|122
|470.739550
| -0.041357
|TRUE
|-
|46/35
|473.134727
|123
|474.598071
|1.463344
|FALSE
|-
|96/73
|474.165530
|123
|474.598071
|0.432541
|TRUE
|-
|25/19
|475.114412
|123
|474.598071
| -0.516341
|TRUE
|-
|54/41
|476.802597
|124
|478.456592
|1.653995
|FALSE
|-
|29/22
|478.259252
|124
|478.456592
|0.197340
|TRUE
|-
|33/25
|480.645516
|125
|482.315113
|1.669597
|FALSE
|-
|37/28
|482.518132
|125
|482.315113
| -0.203020
|TRUE
|-
|41/31
|484.026833
|125
|482.315113
| -1.711721
|FALSE
|-
|45/34
|485.268306
|126
|486.173633
|0.905327
|TRUE
|-
|49/37
|486.307774
|126
|486.173633
| -0.134141
|TRUE
|-
|102/77
|486.766562
|126
|486.173633
| -0.592928
|TRUE
|-
|65/49
|489.189563
|127
|490.032154
|0.842592
|TRUE
|-
|69/52
|489.701686
|127
|490.032154
|0.330468
|TRUE
|-
|73/55
|490.157814
|127
|490.032154
| -0.125660
|TRUE
|-
|77/58
|490.566655
|127
|490.032154
| -0.534500
|TRUE
|-
|4/3
|498.044999
|129
|497.749196
| -0.295803
|TRUE
|-
|75/56
|505.756522
|131
|505.466238
| -0.290284
|TRUE
|-
|55/41
|508.569251
|132
|509.324759
|0.755508
|TRUE
|-
|51/38
|509.397394
|132
|509.324759
| -0.072635
|TRUE
|-
|98/73
|509.862342
|132
|509.324759
| -0.537583
|TRUE
|-
|39/29
|512.905468
|133
|513.183280
|0.277811
|TRUE
|-
|74/55
|513.712383
|133
|513.183280
| -0.529103
|TRUE
|-
|35/26
|514.611959
|133
|513.183280
| -1.428679
|FALSE
|-
|66/49
|515.621130
|134
|517.041801
|1.420670
|FALSE
|-
|31/23
|516.761225
|134
|517.041801
|0.280575
|TRUE
|-
|27/20
|519.551289
|135
|520.900322
|1.349033
|FALSE
|-
|104/77
|520.383813
|135
|520.900322
|0.516509
|TRUE
|-
|77/57
|520.675832
|135
|520.900322
|0.224490
|TRUE
|-
|50/37
|521.283389
|135
|520.900322
| -0.383067
|TRUE
|-
|73/54
|521.924468
|135
|520.900322
| -1.024147
|FALSE
|-
|23/17
|523.318938
|136
|524.758842
|1.439905
|FALSE
|-
|88/65
|524.476567
|136
|524.758842
|0.282276
|TRUE
|-
|65/48
|524.886375
|136
|524.758842
| -0.127532
|TRUE
|-
|42/31
|525.745335
|136
|524.758842
| -0.986492
|FALSE
|-
|19/14
|528.687110
|137
|528.617363
| -0.069746
|TRUE
|-
|34/25
|532.327982
|138
|532.475884
|0.147902
|TRUE
|-
|49/36
|533.741811
|138
|532.475884
| -1.265927
|FALSE
|-
|15/11
|536.950772
|139
|536.334405
| -0.616367
|TRUE
|-
|56/41
|539.763501
|140
|540.192926
|0.429425
|TRUE
|-
|41/30
|540.793691
|140
|540.192926
| -0.600765
|TRUE
|-
|26/19
|543.014646
|141
|544.051447
|1.036801
|FALSE
|-
|63/46
|544.461561
|141
|544.051447
| -0.410114
|TRUE
|-
|100/73
|544.837957
|141
|544.051447
| -0.786510
|TRUE
|-
|37/27
|545.479036
|141
|544.051447
| -1.427589
|FALSE
|-
|48/35
|546.815381
|142
|547.909968
|1.094587
|FALSE
|-
|70/51
|548.229210
|142
|547.909968
| -0.319242
|TRUE
|-
|11/8
|551.317942
|143
|551.768489
|0.450546
|TRUE
|-
|62/45
|554.811857
|144
|555.627010
|0.815153
|TRUE
|-
|51/37
|555.566372
|144
|555.627010
|0.060638
|TRUE
|-
|40/29
|556.736520
|144
|555.627010
| -1.109510
|FALSE
|-
|69/50
|557.601920
|145
|559.485531
|1.883610
|FALSE
|-
|29/21
|558.796287
|145
|559.485531
|0.689244
|TRUE
|-
|76/55
|559.881360
|145
|559.485531
| -0.395829
|TRUE
|-
|18/13
|563.382340
|146
|563.344051
| -0.038289
|TRUE
|-
|104/75
|565.945233
|147
|567.202572
|1.257339
|FALSE
|-
|68/49
|567.303597
|147
|567.202572
| -0.101024
|TRUE
|-
|25/18
|568.717426
|147
|567.202572
| -1.514854
|FALSE
|-
|57/41
|570.405611
|148
|571.061093
|0.655482
|TRUE
|-
|32/23
|571.725653
|148
|571.061093
| -0.664559
|TRUE
|-
|39/28
|573.656756
|149
|574.919614
|1.262858
|FALSE
|-
|46/33
|575.001404
|149
|574.919614
| -0.081790
|TRUE
|-
|88/63
|578.582034
|150
|578.778135
|0.196101
|TRUE
|-
|102/73
|579.120940
|150
|578.778135
| -0.342805
|TRUE
|-
|7/5
|582.512193
|151
|582.636656
|0.124463
|TRUE
|-
|108/77
|585.721154
|152
|586.495177
|0.774023
|TRUE
|-
|80/57
|586.845697
|152
|586.495177
| -0.350520
|TRUE
|-
|73/52
|587.261809
|152
|586.495177
| -0.766632
|TRUE
|-
|52/37
|589.183623
|153
|590.353698
|1.170075
|FALSE
|-
|45/32
|590.223716
|153
|590.353698
|0.129982
|TRUE
|-
|38/27
|591.648014
|153
|590.353698
| -1.294316
|FALSE
|-
|69/49
|592.577535
|154
|594.212219
|1.634683
|FALSE
|-
|31/22
|593.717630
|154
|594.212219
|0.494589
|TRUE
|-
|55/39
|595.148994
|154
|594.212219
| -0.936775
|TRUE
|-
|24/17
|596.999591
|155
|598.070740
|1.071148
|FALSE
|-
|65/46
|598.567028
|155
|598.070740
| -0.496289
|TRUE
|-
|41/29
|599.485211
|155
|598.070740
| -1.414472
|FALSE
|}

Revision as of 01:23, 24 June 2023

Consistent patent val readings

TODO: separate into more-in-tune-than-out-of-tune and more-out-of-tune-than-in-tune

Steps Cents Consistent patent val readings
1 3.858521 449/448
2 7.717042 224/223, 225/224
3 11.575563 150/149
4 15.434084 338/335
5 19.292605 90/89
6 23.151125 70/69, 78/77, 77/76, 76/75, 75/74, 74/73, 73/72
7 27.009646 63/62, 64/63, 65/64, 66/65, 69/68
8 30.868167 55/54, 56/55, 57/56, 58/57
9 34.726688 49/48, 50/49, 51/50, 52/51
10 38.585209 45/44, 46/45
11 42.443730 40/39, 41/40, 42/41
12 46.302251 37/36, 38/37, 39/38
13 50.160772 34/33, 35/34, 36/35
14 54.019293 32/31, 33/32
15 57.877814 30/29, 31/30
16 61.736334 28/27, 29/28
17 65.594855 27/26
18 69.453376 25/24, 26/25
19 73.311897 24/23
20 77.170418 23/22
21 81.028939 22/21
22 84.887460 21/20
23 88.745981 20/19
24 92.604502 19/18, 39/37
25 96.463023 37/35
26 100.321543 18/17, 35/33
27 104.180064 17/16
28 108.038585 33/31
29 111.897106 16/15
30 115.755627 31/29
31 119.614148 15/14
32 123.472669 29/27
33 127.331190 14/13
34 131.189711 69/64
35 135.048232 27/25, 40/37
36 138.906752 13/12
37 142.765273 25/23
38 146.623794 37/34
39 150.482315 12/11
40 154.340836 35/32
41 158.199357 23/21, 34/31
42 162.057878 45/41, 56/51
43 165.916399 11/10
44 169.774920 32/29
45 173.633441 21/19
46 177.491961 31/28
47 181.350482 10/9
48 185.209003 49/44
49 189.067524 29/26, 39/35
50 192.926045 19/17
51 196.784566 28/25
52 200.643087 55/49
53 204.501608 9/8
54 208.360129 35/31
55 212.218650 26/23
56 216.077170 17/15
57 219.935691 25/22, 42/37
58 223.794212 33/29
59 227.652733 73/64
60 231.511254 8/7
61 235.369775 55/48
62 239.228296 31/27, 39/34
63 243.086817 23/20
64 246.945338 15/13, 128/111
65 250.803859 37/32
66 254.662379 22/19
67 258.520900 29/25, 36/31
68 262.379421 64/55
69 266.237942 7/6
70 270.096463 90/77
71 273.954984 34/29, 41/35, 48/41, 75/64
72 277.813505 27/23
73 281.672026 20/17
74 285.530547 33/28, 46/39
75 289.389068 13/11
76 293.247588 32/27
77 297.106109 19/16
78 300.964630 25/21
79 304.823151 31/26, 37/31
80 308.681672 49/41, 55/46
81 312.540193 109/91
82 316.398714 6/5
83 320.257235 77/64
84 324.115756 35/29
85 327.974277 29/24
86 331.832797 23/19, 40/33
87 335.691318 17/14
88 339.549839 28/23, 73/60
89 343.408360 39/32, 50/41, 128/105
90 347.266881 11/9
91 351.125402 38/31
92 354.983923 27/22
93 358.842444 16/13
94 362.700965 37/30
95 366.559486 21/17
96 370.418006 26/21
97 374.276527 36/29, 41/33
98 378.135048 46/37, 51/41, 56/45
99 381.993569 96/77
100 385.852090 5/4
101 389.710611 124/99
102 393.569132 49/39, 64/51
103 397.427653 39/31, 44/35
104 401.286174 29/23
105 405.144695 24/19
106 409.003215 19/15
107 412.861736 33/26
108 416.720257 14/11
109 420.578778 39/29
110 424.437299 23/18
111 428.295820 41/32, 32/25
112 432.154341 77/60
113 436.012862 9/7
114 439.871383 49/38
115 443.729904 31/24
116 447.588424 22/17
117 451.446945 83/64
118 455.305466 13/10
119 459.163987 30/23
120 463.022508 17/13, 49/32
121 466.881029 55/42, 38/29
122 470.739550 21/16
123 474.598071 25/19
124 478.456592 29/22
125 482.315113 33/25
126 486.173633 45/34, 49/37
127 490.032154 85/64
128 493.890675 278/209
129 497.749196 4/3
130 501.607717 322/241, 163/122
131 505.466238 75/56
132 509.324759 51/38
133 513.183280 35/26, 39/29
134 517.041801 31/23
135 520.900322 27/20
136 524.758842 23/17
137 528.617363 19/14
138 532.475884 34/25, 49/36, 87/64
139 536.334405 15/11
140 540.192926 41/30
141 544.051447 26/19, 37/27
142 547.909968 48/35
143 551.768489 11/8
144 555.627010 29/21, 40/29, 51/37
145 559.485531 105/76
146 563.344051 18/13
147 567.202572 25/18, 68/49
148 571.061093 89/64, 32/23
149 574.919614 39/28, 46/33
150 578.778135 88/63
151 582.636656 7/5
152 586.495177 87/62
153 590.353698 45/32, 128/91
154 594.212219 31/22, 148/105
155 598.070740 24/17, 41/29
156 601.929260 17/12, 58/41
157 605.787781 44/31, 105/74
158 609.646302 64/45, 91/64
159 613.504823 124/87
160 617.363344 10/7
161 621.221865 63/44
162 625.080386 33/23, 56/39
163 628.938907 23/16, 128/89
164 632.797428 36/25, 49/34
165 636.655949 13/9
166 640.514469 152/105
167 644.372990 29/20, 42/29, 74/51
168 648.231511 16/11, 93/64
169 652.090032 35/24
170 655.948553 19/13, 54/37
171 659.807074 60/41
172 663.665595 22/15
173 667.524116 25/17, 72/49, 128/87
174 671.382637 28/19
175 675.241158 34/23
176 679.099678 40/27
177 682.958199 46/31
178 686.816720 52/35, 58/39
179 690.675241 76/51
180 694.533762 112/75
181 698.392283 241/161, 244/163
182 702.250804 3/2
183 706.109325 209/139
184 709.967846 128/85
185 713.826367 68/45, 74/49
186 717.684887 50/33
187 721.543408 97/64
188 725.401929 38/25
189 729.260450 32/21
190 733.118971 84/55
191 736.977492 49/32, 26/17
192 740.836013 23/15
193 744.694534 20/13
194 748.553055 128/83
195 752.411576 17/11
196 756.270096 99/64
197 760.128617 48/31
198 763.987138 14/9
199 767.845659 120/77
200 771.704180 25/16
201 775.562701 36/23
202 779.421222 58/39
203 783.279743 11/7
204 787.138264 52/33
205 790.996785 30/19
206 794.855305 19/12
207 798.713826 46/29
208 802.572347 35/22, 62/39
209 806.430868 51/32, 78/49
210 810.289389 99/62
211 814.147910 8/5
212 818.006431 77/48
213 821.864952 37/23, 82/51, 45/28
214 825.723473 29/18, 66/41
215 829.581994 21/13
216 833.440514 34/21, 55/34, 89/55, 144/89
217 837.299035 60/37
218 841.157556 13/8
219 845.016077 44/27
220 848.874598 31/19
221 852.733119 18/11
222 856.591640 41/25, 64/39, 105/64
223 860.450161 23/14, 120/73
224 864.308682 28/17
225 868.167203 32/20, 38/23
226 872.025723 48/29
227 875.884244 58/35
228 879.742765 123/74, 128/77
229 883.601286 5/3
230 887.459807 182/109
231 891.318328 82/49, 92/55
232 895.176849 52/31, 62/37
233 899.035370 42/25
234 902.893891 32/19, 219/130
235 906.752412 27/16
236 910.610932 22/13
237 914.469453 39/23, 56/33
238 918.327974 17/10
239 922.186495 109/64
240 926.045016 29/17, 70/41, 41/24, 128/75
241 929.903537 65/38, 77/45
242 933.762058 12/7
243 937.620579 55/32
244 941.479100 50/29, 31/18
245 945.337621 19/11
246 949.196141 64/37
247 953.054662 26/15, 111/64
248 956.913183 40/23
249 960.771704 54/31, 68/39
250 964.630225 96/55
251 968.488746 7/4
252 972.347267 128/73
253 976.205788 58/33
254 980.064309 37/21, 44/25
255 983.922830 30/17, 113/64
256 987.781350 23/13
257 991.639871 62/35
258 995.498392 16/9
259 999.356913 98/55, 57/32
260 1003.215434 25/14
261 1007.073955 34/19
262 1010.932476 52/29, 70/39
263 1014.790997 88/49, 115/64
264 1018.649518 9/5
265 1022.508039 56/31
266 1026.366559 38/21
267 1030.225080 29/16
268 1034.083601 20/11
269 1037.942122 51/28, 82/45
270 1041.800643 31/17, 42/23
271 1045.659164 64/35, 117/64
272 1049.517685 11/6
273 1053.376206 68/37
274 1057.234727 46/25
275 1061.093248 24/13
276 1064.951768 37/20, 50/27
277 1068.810289 128/69
278 1072.668810 13/7, 119/64
279 1076.527331 54/29
280 1080.385852 28/15
281 1084.244373 58/31
282 1088.102894 15/8
283 1091.961415 62/33
284 1095.819936 32/17
285 1099.678457 17/9, 66/35
286 1103.536977 70/37, 121/64
287 1107.395498 36/19, 74/39
288 1111.254019 19/10
289 1115.112540 40/21
290 1118.971061 21/11
291 1122.829582 44/23
292 1126.688103 23/13
293 1130.546624 48/25, 25/13, 123/64
294 1134.405145 52/27
295 1138.263666 27/14, 56/29
296 1142.122186 29/15, 60/31
297 1145.980707 31/16, 64/33
298 1149.839228 33/17, 68/35, 35/18
299 1153.697749 72/37, 37/19, 76/39
300 1157.556270 39/20, 80/41, 41/21, 125/64
301 1161.414791 88/45, 45/23
302 1165.273312 96/49, 49/25, 100/51, 51/26
303 1169.131833 108/55, 55/28, 112/57, 57/29
304 1172.990354 124/63, 63/32, 128/65, 65/33
305 1176.848875 148/75
306 1180.707395 89/45
307 1184.565916 335/169
308 1188.424437 149/75
309 1192.282958 223/112, 448/225
310 1196.141479 896/449

Mapping of the 41-prime-limited add-73 77-odd-limit

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