Table of 431edo intervals: Difference between revisions

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This '''table of 431edo intervals''' assumes the [[13-limit]] [[patent val]] {{val|431 683 1001 1210 1491 1595}} of [[431edo]].
Intervals highlighted in '''bold''' are prime harmonics or subharmonics. Intervals that differ from their assigned steps by more than 50%, but no more than 100%, are shown in italic. Intervals that differ by more than 100% are not shown. For clarity, an entry can contain multiple intervals if they are of comparable complexity.
{| class="wikitable center-1 right-2 center-3"
{| class="wikitable center-1 right-2 center-3"
|+
!Degrees
!Cents
!Marks
!5-limit
!7-limit
!11-limit
!13-limit
|-
|-
|0
! Degree
|0.000
! Cents
|
! Marks
|
! 5-limit
|
! 7-limit
|
! 11-limit
|
! 13-limit
|-
| 0  
| 0.000
| P1
| '''1/1'''
|
|
|
|-
| 1
| 2.784
|
|
| ''6144/6125''
| 441/440
| ''351/350''
|-
| 2
| 5.568
|
|  
|  
| 385/384
''1375/1372''
|
|-
| 3
| 8.353
|
|
| 1029/1024
225/224
|  
|  
|-
|-
|1
| 4
|2.784
| 11.137
|
|  
|
|  
|
| ''126/125''
|
| 1331/1323
|
|  
|-
|-
|2
| 5
|5.568
| 13.921
|
|  
|
|  
|
|  
|
| ''4125/4096''
|
|  
|-
|-
|3
| 6
|8.353
| 16.705
|
|  
|
|  
|
|  
|
| 1344/1331
|
| 105/104
|-
|-
|4
| 7
|11.137
| 19.490
|
|  
|
|  
|
| ''81/80''
|
|  
|
|  
|-
|-
|5
| 8
|13.921
| 22.274
|
|  
|
|  
|
|  
|
| 245/242
|
|  
|-
|-
|6
| 9
|16.705
| 25.058
|
|  
|
|  
|
|  
|
| 2079/2048
|
|  
|-
|-
|7
| 10
|19.490
| 27.842
|
|  
|
|  
|
| 64/63
|
|  
|
|  
|-
|-
|8
| 11
|22.274
| 30.626
|
|  
|
|  
|
|  
|
| 56/55
|
|  
|-
|-
|9
| 12
|25.058
| 33.411
|
|  
|
|  
|
|
|
| ''55/54''
|
|-
| 13
| 36.395
|
|
| 49/48
|
|
|-
| 14
| 38.979
|
| ''128/125''
|  
|  
|
|
|-
|-
|10
| 15
|27.842
| 41.763
|
|  
|
|  
|
|  
|
| ''1375/1344''
|
|  
|-
| 16
| 44.548
|
|
|
|
| 40/39
|-
|-
|
| 17
|
| 47.332
|
|  
|
|  
|
| ''36/35''
|
|  
|
|  
|-
|-
|
| 18
|
| 50.116
|
|  
|
|  
|
|  
|
| ''1120/1089''
|
|  
|-
|-
|
| 19
|
| 52.900
|
|  
|
|  
|
|  
|
| 33/32
|
|  
|-
|-
|
| 20
|
| 55.684
|
|  
|
|  
|
|  
|
| ''1225/1188''
|
|  
|-
|-
|
| 21
|
| 58.469
|
|  
|
|  
|
|  
|
|  
|
| ''6875/6656''
|-
|-
|
| 22
|
| 61.253
|
|  
|
|  
|
|  
|
| 3136/3025
|
|
|-
| 23
| 64.037
|
|
| 28/27
|  
|  
|-
|-
|
| 24
|
| 66.821
|
|  
|
|  
|
|  
|
|  
|
| ''4900/4719''
|-
|-
|
| 25
|
| 69.606
|
|  
|
|  
|
|  
|
| ''343/330''
|
|  
|-
|-
|
| 26
|
| 72.390
|
|  
|
| ''25/24''
|
|  
|
|  
|
|  
|-
|-
|
| 27
|
| 75.174
|
|  
|
|  
|
| 256/245
|
|  
|
|  
|-
|-
|
| 28
|
| 77.958
|
|  
|
|  
|
|  
|
| ''288/275''
|
|  
|-
|-
|
| 29
|
| 80.742
|
|  
|
|  
|
|  
|
| 22/21
|
|  
|-
|-
|
| 30
|
| 83.527
|
|  
|
|  
|
| 21/20
|
|  
|
|
|-
| 31
| 86.311
|
|
|
| 605/576
|  
|-
|-
|
| 32
|
| 89.095
|
|  
|
|  
|
|  
|
| 539/512
|
|  
|-
|-
|
| 33
|
| 91.879
|
| m2
|
| 135/128
|
|  
|
|  
|
|  
|-
|-
|
| 34
|
| 94.664
|
|  
|
|  
|
|  
|
| 1568/1485
|
|  
|-
|-
|
| 35
|
| 97.448
|
|  
|
|  
|
|  
|
| 128/121
|
|  
|-
|-
|
| 36
|
| 100.232
|
|  
|
|  
|
|  
|
| ''297/280''
|
|  
|-
|-
|
| 37
|
| 103.016
|
|  
|
|  
|
|  
|
| 35/33
|
|  
|-
|-
|
| 38
|
| 105.800
|
|  
|
|  
|
|  
|
| 1029/968
|
|  
|-
|-
|
| 39
|
| 108.585
|
|  
|
|  
|
|  
|
| 1408/1323
|
|  
|-
|-
|
| 40
|
| 111.370
|
|  
|
| 16/15
|
|  
|
|  
|
| 273/256
|-
|-
|
| 41
|
| 114.153
|
|  
|
|  
|
|  
|
| 294/275
|
|  
|-
|-
|
| 42
|
| 116.937
|
|  
|
|  
|
|  
|
| ''1100/1029''
|
|  
|-
|-
|
| 43
|
| 119.722
|
|  
|
|  
|
| 15/14
|
|  
|
|  
|-
|-
|
| 44
|
| 122.506
|
|  
|
|  
|
|  
|
| 189/176
|
|  
|-
|-
|
| 45
|
| 125.290
|
|  
|
|  
|
|  
|
| 275/256
|
|  
|-
|-
|
| 46
|
| 128.074
|
|  
|
|  
|
|  
|
|  
|
| 14/13
|-
|-
|
| 47
|
| 130.858
|
|  
|
|  
|
|  
|
|  
|
| 3087/2860
|-
|-
|
| 48
|
| 133.643
|
|  
|
|  
|
|  
|
| 392/363
|
|  
|-
|-
|
| 49
|
| 136.427
|
|  
|
|  
|
|  
|
|  
|
| ''1430/1323''
|-
|-
|
| 50
|
| 139.211
|
|  
|
|  
|
|  
|
|  
|
| 13/12
|-
|-
|
| 51
|
| 141.995
|
|  
|
|  
|
|  
|
| 525/484
|
|  
|-
|-
|
| 52
|
| 144.780
|
|  
|
|  
|
|  
|
| 4608/4235
|
|  
|-
|-
|
| 53
|
| 147.564
|
|  
|
|  
|
|  
|
|  
|
| 572/525
|-
|-
|
| 54
|
| 150.348
|
|  
|
|  
|
|  
|
| 12/11
|
|  
|-
|-
|
| 55
|
| 153.132
|
|  
|
|  
|
|  
|
| ''1323/1210''
|
|  
|-
|-
|
| 56
|
| 155.916
|
|  
|
|  
|
| 35/32
|
|  
|
| 128/117
|-
|-
|
| 57
|
| 158.701
|
|  
|
|  
|
|  
|
| 3087/2816
|
|  
|-
|-
|
| 58
|
| 161.485
|
|  
|
|  
|
|  
|
| 484/441
|
|  
|-
|-
|
| 59
|
| 164.269
|
|  
|
|  
|
|  
|
| 11/10
|
|  
|-
|-
|
| 60
|
| 167.053
|
|  
|
|  
|
| 441/400
|
|  
|
|  
|-
|-
|
| 61
|
| 169.838
|
|  
|
|  
|
|  
|
| 847/768
|
|  
|-
|-
|
| 62
|
| 172.622
|
|  
|
|  
|
|  
|
| ''968/875''
|
|  
|-
|-
|
| 63
|
| 175.406
|
|  
|
|  
|
| 448/405
|
|  
|
|  
|-
|-
|
| 64
|
| 178.190
|
|  
|
|  
|
|  
|
| 256/231
|
|  
|-
|-
|
| 65
|
| 180.974
|
|  
|
|  
|
|  
|
| 672/605
|
|  
|-
|-
|
| 66
|
| 183.759
|
|  
|
| 10/9
|
|  
|
|  
|
|  
|-
|-
|
| 67
|
| 186.543
|
|  
|
|  
|
|  
|
| 49/44
|
|  
|-
|-
|
| 68
|
| 189.327
|
|  
|
|  
|
|  
|
| ''1925/1728''
|
|  
|-
|-
|
| 69
|
| 192.111
|
|  
|
|  
|
|  
|
| 352/315
|
| 143/128
|-
|-
|
| 70
|
| 194.900
|
|  
|
|  
|
| 28/25
|
|  
|
|  
|-
|-
|
| 71
|
| 197.680
|
|  
|
|  
|
|  
|
| ''3087/2750''
|
|  
|-
|-
|
| 72
|
| 200.464
|
|  
|
|  
|
|  
|
| 55/49
|
|  
|-
|-
|
| 73
|
| 203.248
|
| M2
|
| 9/8
|
|  
|
|  
|
|  
|-
|-
|
| 74
|
| 206.032
|
|  
|
|  
|
| ''7203/6400''
|
|  
|
|  
|-
|-
|
| 75
|
| 208.817
|
|  
|
|  
|
|  
|
| 1936/1715
|
|  
|-
|-
|
| 76
|
| 211.601
|
|  
|
|  
|
|  
|
|  
|
| ''325/288''
|-
|-
|
| 77
|
| 214.385
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 78
|
| 217.169
|
|  
|
|  
|
|  
|
|  
|
| 825/728
|-
|-
|
| 79
|
| 219.954
|
|  
|
|  
|
|  
|
| ''500/441''
|
|  
|-
|-
|
| 80
|
| 222.738
|
|  
|
| 256/225
|
|  
|
| ''25/22''
|
|  
|-
|-
|
| 81
|
| 225.522
|
|  
|
|  
|
|  
|
|  
|
| 726/637
|-
|-
|
| 82
|
| 228.306
|
|  
|
|  
|
|  
|
| 3520/3087
|
|  
|-
|-
|
| 83
|
| 231.090
|
|  
|
|  
|
| '''8/7'''
|
|  
|
|  
|-
|-
|
| 84
|
| 233.875
|
|  
|
|  
|
|  
|
| 63/55
|
|  
|-
|-
|
| 85
|
| 236.659
|
|  
|
|  
|
|  
|
| 55/48
|
|  
|-
|-
|
| 86
|
| 239.443
|
|  
|
| 147/128
|
|  
|
|  
|
|  
|-
|-
|
| 87
|
| 242.227
|
|  
|
|  
|
|  
|
|  
|
| ''7371/6400''
|-
|-
|
| 88
|
| 245.012
|
|  
|
|  
|
|  
|
|  
|
| 2200/1911
|-
|-
|
| 89
|
| 247.796
|
|  
|
|  
|
|  
|
|  
|
| 15/13
|-
|-
|
| 90
|
| 250.580
|
|  
|
|  
|
|  
|
|  
|
| 1323/1144
|-
|-
|
| 91
|
| 253.364
|
|  
|
|  
|
|  
|
| 1815/1568
|
|  
|-
|-
|
| 92
|
| 256.148
|
|  
|
|  
|
|  
|
| 297/256
|
|  
|-
|-
|
| 93
|
| 258.933
|
|  
|
|  
|
|  
|
| ''1225/1056''
|
|  
|-
|-
|
| 94
|
| 261.717
|
|  
|
|  
|
|  
|
| 64/55
|
|  
|-
|-
|
| 95
|
| 264.501
|
|  
|
|  
|
|  
|
| ''220/189''
|
|  
|-
|-
|
| 96
|
| 267.285
|
|  
|
|  
|
| 7/6
|
|  
|
|  
|-
|-
|
| 97
|
| 270.070
|
|  
|
|  
|
|  
|
| 1029/880
|
|  
|-
|-
|
| 98
|
| 272.854
|
|  
|
|  
|
|  
|
| ''1375/1176''
|
|  
|-
|-
|
| 99
|
| 275.638
|
|  
|
| 75/64
|
|  
|
|  
|
|  
|-
|-
|
| 100
|
| 278.422
|
|  
|
|  
|
|  
|
|  
|
| 168/143
|-
|-
|
| 101
|
| 281.206
|
|  
|
|  
|
|  
|
| 1210/1029
|
|  
|-
|-
|
| 102
|
| 283.991
|
|  
|
|  
|
|  
|
| 33/28
|
|  
|-
|-
|
| 103
|
| 286.775
|
|  
|
|  
|
|  
|
|  
|
| ''520/441''
|-
|-
|
| 104
|
| 289.559
|
|  
|
|  
|
|  
|
|  
|
| 13/11
|-
|-
|
| 105
|
| 292.343
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 106
|
| 295.128
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 107
|
| 297.912
|
| m3
|
| ''32/27''
|
|  
|
|  
|
|  
|-
|-
|
| 108
|
| 300.696
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 109
|
| 303.480
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 110
|
| 306.265
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 111
|
| 309.049
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 112
|
| 311.833
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 113
|
| 314.617
|
|  
|
| 6/5
|
|  
|
|  
|
|  
|-
|-
|
| 114
|
| 317.401
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 115
|
| 320.186
|
|  
|
|  
|
|  
|
| 77/64
|
|  
|-
|-
|
| 116
|
| 322.970
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 117
|
| 325.754
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 118
|
| 328.528
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 119
|
| 331.323
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 120
|
| 334.107
|
|  
|
|  
|
|  
|
| 40/33
|
|  
|-
|-
|
| 121
|
| 336.891
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 122
|
| 339.675
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 123
|
| 342.459
|
|  
|
|  
|
|  
|
|  
|
| 39/32
|-
|-
|
| 124
|
| 345.244
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 125
|
| 348.028
|
|  
|
|  
|
|  
|
| 11/9
|
|  
|-
|-
|
| 126
|
| 350.812
|
|  
|
|  
|
| 49/40
|
|  
|
|  
|-
|-
|
| 127
|
| 353.596
|
|  
|
|  
|
|  
|
| 27/22
|
|  
|-
|-
|
| 128
|
| 356.381
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 129
|
| 359.165
|
|  
|
|  
|
| 315/256
|
|  
|
| '''16/13'''
|-
|-
|
| 130
|
| 361.949
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 131
|
| 364.733
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 132
|
| 367.517
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 133
|
| 370.302
|
|  
|
|  
|
|  
|
|  
|
| 26/21
|-
|-
|
| 134
|
| 373.086
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 135
|
| 375.870
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 136
|
| 378.654
|
|  
|
|  
|
| 56/45
|
|  
|
|  
|-
|-
|
| 137
|
| 381.439
|
|  
|
|  
|
|  
|
| 96/77
|
|  
|-
|-
|
| 138
|
| 384.223
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 139
|
| 387.007
|
|  
|
| '''5/4'''
|
|  
|
|  
|
|  
|-
|-
|
| 140
|
| 389.791
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 141
|
| 392.575
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 142
|
| 395.360
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 143
|
| 398.144
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 144
|
| 400.928
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 145
|
| 403.712
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 146
|
| 406.497
|
| M3
|
| 81/64
|
|  
|
|  
|
|  
|-
|-
|
| 147
|
| 409.281
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 148
|
| 412.065
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 149
|
| 414.849
|
|  
|
|  
|
| 80/63
|
|  
|
|  
|-
|-
|
| 150
|
| 417.633
|
|  
|
|  
|
|  
|
| 14/11
|
|  
|-
|-
|
| 151
|
| 420.418
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 152
|
| 423.202
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 153
|
| 425.986
|
|  
|
| 32/25
|
|  
|
|  
|
|  
|-
|-
|
| 154
|
| 428.770
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 155
|
| 431.555
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 156
|
| 434.339
|
|  
|
|  
|
| 9/7
|
|  
|
|  
|-
|-
|
| 157
|
| 437.123
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 158
|
| 439.907
|
|  
|
|  
|
|  
|
| 165/128
|
|  
|-
|-
|
| 159
|
| 442.691
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 160
|
| 445.476
|
|  
|
|  
|
| 128/99
|
|  
|
|  
|-
|-
|
| 161
|
| 448.260
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 162
|
| 451.044
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 163
|
| 453.828
|
|  
|
|  
|
|  
|
|  
|
| 13/10
|-
|-
|
| 164
|
| 456.613
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 165
|
| 459.397
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 166
|
| 462.181
|
|  
|
|  
|
| 64/49
|
|  
|
|  
|-
|-
|
| 167
|
| 464.965
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 168
|
| 467.749
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 169
|
| 470.534
|
|  
|
|  
|
| 21/16
|
|  
|
|  
|-
|-
|
| 170
|
| 473.318
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 171
|
| 476.102
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 172
|
| 478.886
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 173
|
| 481.671
|
|  
|
|  
|
|  
|
|  
|
| 169/128
|-
|-
|
| 174
|
| 484.455
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 175
|
| 487.239
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 176
|
| 490.023
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 177
|
| 492.807
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 178
|
| 495.592
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 179
|
| 498.375
|
| P4
|
| '''4/3'''
|
|  
|
|  
|
|  
|-
|-
|
| 180
|
| 501.160
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 181
|
| 503.944
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 182
|
| 506.729
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 183
|
| 509.513
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 184
|
| 512.297
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 185
|
| 515.081
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 186
|
| 517.865
|
|  
|
| ''27/20''
|
|  
|
|  
|
|  
|-
|-
|
| 187
|
| 520.650
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 188
|
| 523.434
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 189
|
| 526.218
|
|  
|
|  
|
| 256/189
|
|  
|
|  
|-
|-
|
| 190
|
| 529.002
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 191
|
| 531.787
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 192
|
| 534.571
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 193
|
| 537.355
|
|  
|
|  
|
|  
|
| 15/11
|
|  
|-
|-
|
| 194
|
| 540.139
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 195
|
| 542.923
|
|  
|
| ''175/128''
|
|  
|
|  
|
|  
|-
|-
|
| 196
|
| 545.708
|
|  
|
|  
|
| 48/35
|
|  
|
|  
|-
|-
|
| 197
|
| 548.492
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 198
|
| 551.276
|
|  
|
|  
|
|  
|
| '''11/8'''
|
|  
|-
|-
|
| 199
|
| 554.060
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 200
|
| 556.845
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 201
|
| 559.629
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 202
|
| 562.413
|
|  
|
|  
|
|  
|
|  
|
| 18/13
|-
|-
|
| 203
|
| 565.197
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 204
|
| 567.981
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 205
|
| 570.766
|
|  
|
| ''25/18''
|
|  
|
|  
|
|  
|-
|-
|
| 206
|
| 573.550
|
|  
|
|  
|
|  
|
|  
|
| 39/28
|-
|-
|
| 207
|
| 576.334
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 208
|
| 579.118
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 209
|
| 581.903
|
|  
|
|  
|
| 7/5
|
|  
|
|  
|-
|-
|
| 210
|
| 584.687
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 211
|
| 587.471
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 212
|
| 590.255
|
| d5
|
| 45/32
|
|  
|
|  
|
|  
|-
|-
|
| 213
|
| 593.039
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 214
|
| 595.824
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 215
|
| 598.608
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 216
|
| 601.392
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 217
|
| 604.176
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 218
|
| 606.961
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 219
|
| 609.745
|
| A4
|
| 64/45
|
|  
|
|  
|
|  
|-
|-
|
| 220
|
| 612.529
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 221
|
| 615.313
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 222
|
| 618.097
|
|  
|
|  
|
| 10/7
|
|  
|
|  
|-
|-
|
| 223
|
| 620.882
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 224
|
| 623.666
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 225
|
| 626.450
|
|  
|
|  
|
|  
|
|  
|
| 56/39
|-
|-
|
| 226
|
| 629.234
|
|  
|
| ''36/25''
|
|  
|
|  
|
|  
|-
|-
|
| 227
|
| 632.019
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 228
|
| 634.803
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 229
|
| 637.587
|
|  
|
|  
|
|  
|
|  
|
| 13/9
|-
|-
|
| 230
|
| 640.371
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 231
|
| 643.155
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 232
|
| 645.940
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 233
|
| 648.724
|
|  
|
|  
|
|  
|
| '''16/11'''
|
|  
|-
|-
|
| 234
|
| 651.508
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 235
|
| 654.292
|
|  
|
|  
|
| ''35/24''
|
|  
|
|  
|-
|-
|
| 236
|
| 657.077
|
|  
|
|  
|
| ''256/175''
|
|  
|
|  
|-
|-
|
| 237
|
| 659.861
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 238
|
| 662.645
|
|  
|
|  
|
|  
|
| 22/15
|
|  
|-
|-
|
| 239
|
| 665.429
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 240
|
| 668.213
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 241
|
| 671.000
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 242
|
| 673.782
|
|  
|
|  
|
|  
|
| 189/128
|
|  
|-
|-
|
| 243
|
| 676.566
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 244
|
| 679.350
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 245
|
| 682.135
|
|  
|
| ''40/27''
|
|  
|
|  
|
|  
|-
|-
|
| 246
|
| 684.919
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 247
|
| 687.703
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 248
|
| 690.487
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 249
|
| 693.271
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 250
|
| 696.056
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 251
|
| 698.840
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 252
|
| 701.624
|
| P5
|
| '''3/2'''
|
|  
|
|  
|
|  
|-
|-
|
| 253
|
| 704.408
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 254
|
| 707.193
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 255
|
| 709.977
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 256
|
| 712.761
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 257
|
| 715.545
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 258
|
| 718.329
|
|  
|
|  
|
|  
|
|  
|
| 256/169
|-
|-
|
| 259
|
| 721.114
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 260
|
| 723.898
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 261
|
| 726.682
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 262
|
| 729.466
|
|  
|
|  
|
| 32/21
|
|  
|
|  
|-
|-
|
| 263
|
| 732.251
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 264
|
| 735.035
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 265
|
| 737.819
|
|  
|
|  
|
| 49/32
|
|  
|
|  
|-
|-
|
| 266
|
| 740.603
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 267
|
| 743.387
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 268
|
| 746.172
|
|  
|
|  
|
|  
|
|  
|
| 20/13
|-
|-
|
| 269
|
| 748.956
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 270
|
| 751.740
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 271
|
| 754.524
|
|  
|
|  
|
|  
|
| 99/64
|
|  
|-
|-
|
| 272
|
| 757.309
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 273
|
| 760.093
|
|  
|
|  
|
|  
|
| 256/165
|
|  
|-
|-
|
| 274
|
| 762.877
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 275
|
| 765.661
|
|  
|
|  
|
| 14/9
|
|  
|
|  
|-
|-
|
| 276
|
| 768.445
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 277
|
| 771.230
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 278
|
| 774.014
|
|  
|
| 25/16
|
|  
|
|  
|
|  
|-
|-
|
| 279
|
| 776.798
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 280
|
| 779.582
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 281
|
| 782.367
|
|  
|
|  
|
|  
|
| 11/7
|
|  
|-
|-
|
| 282
|
| 785.151
|
|  
|
|  
|
| 63/40
|
|  
|
|  
|-
|-
|
| 283
|
| 787.935
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 284
|
| 790.719
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 285
|
| 793.503
|
| m6
|
| ''128/81''
|
|  
|
|  
|
|  
|-
|-
|
| 286
|
| 796.288
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 287
|
| 799.072
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 288
|
| 801.856
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 289
|
| 804.640
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 290
|
| 807.425
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 291
|
| 810.209
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 292
|
| 812.993
|
|  
|
| '''8/5'''
|
|  
|
|  
|
|  
|-
|-
|
| 293
|
| 815.777
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 294
|
| 818.561
|
|  
|
|  
|
|  
|
| 77/48
|
|  
|-
|-
|
| 295
|
| 821.346
|
|  
|
| 45/28
|
|  
|
|  
|
|  
|-
|-
|
| 296
|
| 824.130
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 297
|
| 826.914
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 298
|
| 829.698
|
|  
|
|  
|
|  
|
|  
|
| 21/13
|-
|-
|
| 299
|
| 832.483
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 300
|
| 835.267
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 301
|
| 838.051
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 302
|
| 840.835
|
|  
|
|  
|
| 512/315
|
|  
|
| '''13/8'''
|-
|-
|
| 303
|
| 843.619
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 304
|
| 846.404
|
|  
|
|  
|
|  
|
| 44/27
|
|  
|-
|-
|
| 305
|
| 849.188
|
|  
|
|  
|
| 80/49
|
|  
|
|  
|-
|-
|
| 306
|
| 851.972
|
|  
|
|  
|
|  
|
| 18/11
|
|  
|-
|-
|
| 307
|
| 854.756
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 308
|
| 857.541
|
|  
|
|  
|
|  
|
|  
|
| 64/39
|-
|-
|
| 309
|
| 860.325
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 310
|
| 863.109
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 311
|
| 865.893
|
|  
|
|  
|
|  
|
| 33/20
|
|  
|-
|-
|
| 312
|
| 868.677
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 313
|
| 871.462
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 314
|
| 874.246
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 315
|
| 877.030
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 316
|
| 879.814
|
|  
|
|  
|
|  
|
| 128/77
|
|  
|-
|-
|
| 317
|
| 882.599
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 318
|
| 885.383
|
|  
|
| 5/3
|
|  
|
|  
|
|  
|-
|-
|
| 319
|
| 888.167
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 320
|
| 890.951
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 321
|
| 893.735
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 322
|
| 896.520
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 323
|
| 899.304
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 324
|
| 902.088
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 325
|
| 904.872
|
| M6
|
| 27/16
|
|  
|
|  
|
|  
|-
|-
|
| 326
|
| 907.657
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 327
|
| 910.441
|
|  
|
|  
|
|  
|
|  
|
| 22/13
|-
|-
|
| 328
|
| 913.225
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 329
|
| 916.009
|
|  
|
|  
|
|  
|
| 56/33
|
|  
|-
|-
|
| 330
|
| 918.794
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 331
|
| 921.578
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 332
|
| 924.362
|
|  
|
| 128/75
|
|  
|
|  
|
|  
|-
|-
|
| 333
|
| 927.146
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 334
|
| 929.930
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 335
|
| 932.715
|
|  
|
|  
|
| 12/7
|
|  
|
|  
|-
|-
|
| 336
|
| 935.499
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 337
|
| 938.283
|
|  
|
|  
|
|  
|
| 55/32
|
|  
|-
|-
|
| 338
|
| 941.067
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 339
|
| 943.852
|
|  
|
|  
|
|  
|
| 512/297
|
|  
|-
|-
|
| 340
|
| 946.636
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 341
|
| 949.420
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 342
|
| 952.204
|
|  
|
|  
|
|  
|
|  
|
| 26/15
|-
|-
|
| 343
|
| 954.988
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 344
|
| 957.773
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 345
|
| 960.557
|
|  
|
|  
|
| 256/147
|
|  
|
|  
|-
|-
|
| 346
|
| 963.341
|
|  
|
|  
|
|  
|
| 96/55
|
|  
|-
|-
|
| 347
|
| 966.125
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 348
|
| 968.910
|
|  
|
|  
|
| '''7/4'''
|
|  
|
|  
|-
|-
|
| 349
|
| 971.694
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 350
|
| 974.478
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 351
|
| 977.262
|
|  
|
| 225/128
|
|  
|
| ''44/25''
|
|  
|-
|-
|
| 352
|
| 980.046
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 353
|
| 982.831
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 354
|
| 985.615
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 355
|
| 988.399
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 356
|
| 991.183
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 357
|
| 993.968
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 358
|
| 996.752
|
| m7
|
| 16/9
|
|  
|
|  
|
|  
|-
|-
|
| 359
|
| 999.536
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 360
|
| 1002.320
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 361
|
| 1005.104
|
|  
|
|  
|
| 25/14
|
|  
|
|  
|-
|-
|
| 362
|
| 1007.889
|
|  
|
|  
|
|  
|
|  
|
| 256/143
|-
|-
|
| 363
|
| 1010.673
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 364
|
| 1013.457
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 365
|
| 1016.241
|
|  
|
| 9/5
|
|  
|
|  
|
|  
|-
|-
|
| 366
|
| 1019.026
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 367
|
| 1021.810
|
|  
|
|  
|
|  
|
| 231/128
|
|  
|-
|-
|
| 368
|
| 1024.594
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 369
|
| 1027.378
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 370
|
| 1030.162
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 371
|
| 1032.947
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 372
|
| 1035.731
|
|  
|
|  
|
|  
|
| 20/11
|
|  
|-
|-
|
| 373
|
| 1038.515
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 374
|
| 1041.299
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 375
|
| 1044.084
|
|  
|
|  
|
| ''64/35''
|
|  
|
| 117/64
|-
|-
|
| 376
|
| 1046.868
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 377
|
| 1049.652
|
|  
|
|  
|
|  
|
| 11/6
|
|  
|-
|-
|
| 378
|
| 1052.436
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 379
|
| 1055.220
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 380
|
| 1058.005
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 381
|
| 1060.789
|
|  
|
|  
|
|  
|
|  
|
| 24/13
|-
|-
|
| 382
|
| 1063.573
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 383
|
| 1066.357
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 384
|
| 1069.142
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 385
|
| 1071.926
|
|  
|
|  
|
|  
|
|  
|
| 13/7
|-
|-
|
| 386
|
| 1074.710
|
|  
|
|  
|
|  
|
| 512/275
|
|  
|-
|-
|
| 387
|
| 1077.494
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 388
|
| 1080.278
|
|  
|
|  
|
| 28/15
|
|  
|
|  
|-
|-
|
| 389
|
| 1083.063
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 390
|
| 1085.847
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 391
|
| 1088.631
|
|  
|
| 15/8
|
|  
|
|  
|
| 512/273
|-
|-
|
| 392
|
| 1091.415
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 393
|
| 1094.200
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 394
|
| 1096.984
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 395
|
| 1099.768
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 396
|
| 1102.552
|
|  
|
|  
|
|  
|
| 121/64
|
|  
|-
|-
|
| 397
|
| 1105.336
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 398
|
| 1108.121
|
| M7
|
| ''243/128''
|
|  
|
|  
|
|  
|-
|-
|
| 399
|
| 1110.905
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 400
|
| 1113.689
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 401
|
| 1116.473
|
|  
|
|  
|
| 40/21
|
|  
|
|  
|-
|-
|
| 402
|
| 1119.258
|
|  
|
|  
|
|  
|
| 21/11
|
|  
|-
|-
|
| 403
|
| 1122.042
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 404
|
| 1124.826
|
|  
|
|  
|
| 245/128
|
|  
|
|  
|-
|-
|
| 405
|
| 1127.610
|
|  
|
| ''48/25''
|
|  
|
|  
|
|  
|-
|-
|
| 406
|
| 1130.394
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 407
|
| 1133.179
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 408
|
| 1135.963
|
|  
|
|  
|
| 27/14
|
|  
|
|  
|-
|-
|
| 409
|
| 1138.747
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 410
|
| 1141.531
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 411
|
| 1144.316
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 412
|
| 1147.100
|
|  
|
|  
|
|  
|
| 64/33
|
|  
|-
|-
|
| 413
|
| 1149.884
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 414
|
| 1152.668
|
|  
|
|  
|
| ''35/18''
|
|  
|
|  
|-
|-
|
| 415
|
| 1155.452
|
|  
|
|  
|
|  
|
|  
|
| 39/20
|-
|-
|
| 416
|
| 1158.237
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 417
|
| 1161.021
|
|  
|
| ''125/64''
|
|  
|
|  
|
|  
|-
|-
|
| 418
|
| 1163.805
|
|  
|
|  
|
| 96/49
|
|  
|
|  
|-
|-
|
| 419
|
| 1166.589
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 420
|
| 1169.374
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 421
|
| 1172.158
|
|  
|
|  
|
| 63/32
|
|  
|
|  
|-
|-
|
| 422
|
| 1174.942
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 423
|
| 1177.726
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 424
|
| 1180.510
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 425
|
| 1183.295
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 426
|
| 1186.079
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 427
|
| 1188.863
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 428
|
| 1191.647
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 429
|
| 1194.432
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 430
|
| 1197.216
|
|  
|
|  
|
|  
|
|  
|
|  
|-
|-
|
| 431
|
| 1200.000
|
| P8
|
| '''2/1'''
|
|  
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|  
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|  
|-
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|}
[[Category:431edo]]
[[Category:Tables of edo intervals]]
{{Todo| complete table }}

Latest revision as of 13:39, 16 June 2026

This table of 431edo intervals assumes the 13-limit patent val ⟨431 683 1001 1210 1491 1595] of 431edo.

Intervals highlighted in bold are prime harmonics or subharmonics. Intervals that differ from their assigned steps by more than 50%, but no more than 100%, are shown in italic. Intervals that differ by more than 100% are not shown. For clarity, an entry can contain multiple intervals if they are of comparable complexity.

Degree Cents Marks 5-limit 7-limit 11-limit 13-limit
0 0.000 P1 1/1
1 2.784 6144/6125 441/440 351/350
2 5.568 385/384

1375/1372

3 8.353 1029/1024

225/224

4 11.137 126/125 1331/1323
5 13.921 4125/4096
6 16.705 1344/1331 105/104
7 19.490 81/80
8 22.274 245/242
9 25.058 2079/2048
10 27.842 64/63
11 30.626 56/55
12 33.411 55/54
13 36.395 49/48
14 38.979 128/125
15 41.763 1375/1344
16 44.548 40/39
17 47.332 36/35
18 50.116 1120/1089
19 52.900 33/32
20 55.684 1225/1188
21 58.469 6875/6656
22 61.253 3136/3025
23 64.037 28/27
24 66.821 4900/4719
25 69.606 343/330
26 72.390 25/24
27 75.174 256/245
28 77.958 288/275
29 80.742 22/21
30 83.527 21/20
31 86.311 605/576
32 89.095 539/512
33 91.879 m2 135/128
34 94.664 1568/1485
35 97.448 128/121
36 100.232 297/280
37 103.016 35/33
38 105.800 1029/968
39 108.585 1408/1323
40 111.370 16/15 273/256
41 114.153 294/275
42 116.937 1100/1029
43 119.722 15/14
44 122.506 189/176
45 125.290 275/256
46 128.074 14/13
47 130.858 3087/2860
48 133.643 392/363
49 136.427 1430/1323
50 139.211 13/12
51 141.995 525/484
52 144.780 4608/4235
53 147.564 572/525
54 150.348 12/11
55 153.132 1323/1210
56 155.916 35/32 128/117
57 158.701 3087/2816
58 161.485 484/441
59 164.269 11/10
60 167.053 441/400
61 169.838 847/768
62 172.622 968/875
63 175.406 448/405
64 178.190 256/231
65 180.974 672/605
66 183.759 10/9
67 186.543 49/44
68 189.327 1925/1728
69 192.111 352/315 143/128
70 194.900 28/25
71 197.680 3087/2750
72 200.464 55/49
73 203.248 M2 9/8
74 206.032 7203/6400
75 208.817 1936/1715
76 211.601 325/288
77 214.385
78 217.169 825/728
79 219.954 500/441
80 222.738 256/225 25/22
81 225.522 726/637
82 228.306 3520/3087
83 231.090 8/7
84 233.875 63/55
85 236.659 55/48
86 239.443 147/128
87 242.227 7371/6400
88 245.012 2200/1911
89 247.796 15/13
90 250.580 1323/1144
91 253.364 1815/1568
92 256.148 297/256
93 258.933 1225/1056
94 261.717 64/55
95 264.501 220/189
96 267.285 7/6
97 270.070 1029/880
98 272.854 1375/1176
99 275.638 75/64
100 278.422 168/143
101 281.206 1210/1029
102 283.991 33/28
103 286.775 520/441
104 289.559 13/11
105 292.343
106 295.128
107 297.912 m3 32/27
108 300.696
109 303.480
110 306.265
111 309.049
112 311.833
113 314.617 6/5
114 317.401
115 320.186 77/64
116 322.970
117 325.754
118 328.528
119 331.323
120 334.107 40/33
121 336.891
122 339.675
123 342.459 39/32
124 345.244
125 348.028 11/9
126 350.812 49/40
127 353.596 27/22
128 356.381
129 359.165 315/256 16/13
130 361.949
131 364.733
132 367.517
133 370.302 26/21
134 373.086
135 375.870
136 378.654 56/45
137 381.439 96/77
138 384.223
139 387.007 5/4
140 389.791
141 392.575
142 395.360
143 398.144
144 400.928
145 403.712
146 406.497 M3 81/64
147 409.281
148 412.065
149 414.849 80/63
150 417.633 14/11
151 420.418
152 423.202
153 425.986 32/25
154 428.770
155 431.555
156 434.339 9/7
157 437.123
158 439.907 165/128
159 442.691
160 445.476 128/99
161 448.260
162 451.044
163 453.828 13/10
164 456.613
165 459.397
166 462.181 64/49
167 464.965
168 467.749
169 470.534 21/16
170 473.318
171 476.102
172 478.886
173 481.671 169/128
174 484.455
175 487.239
176 490.023
177 492.807
178 495.592
179 498.375 P4 4/3
180 501.160
181 503.944
182 506.729
183 509.513
184 512.297
185 515.081
186 517.865 27/20
187 520.650
188 523.434
189 526.218 256/189
190 529.002
191 531.787
192 534.571
193 537.355 15/11
194 540.139
195 542.923 175/128
196 545.708 48/35
197 548.492
198 551.276 11/8
199 554.060
200 556.845
201 559.629
202 562.413 18/13
203 565.197
204 567.981
205 570.766 25/18
206 573.550 39/28
207 576.334
208 579.118
209 581.903 7/5
210 584.687
211 587.471
212 590.255 d5 45/32
213 593.039
214 595.824
215 598.608
216 601.392
217 604.176
218 606.961
219 609.745 A4 64/45
220 612.529
221 615.313
222 618.097 10/7
223 620.882
224 623.666
225 626.450 56/39
226 629.234 36/25
227 632.019
228 634.803
229 637.587 13/9
230 640.371
231 643.155
232 645.940
233 648.724 16/11
234 651.508
235 654.292 35/24
236 657.077 256/175
237 659.861
238 662.645 22/15
239 665.429
240 668.213
241 671.000
242 673.782 189/128
243 676.566
244 679.350
245 682.135 40/27
246 684.919
247 687.703
248 690.487
249 693.271
250 696.056
251 698.840
252 701.624 P5 3/2
253 704.408
254 707.193
255 709.977
256 712.761
257 715.545
258 718.329 256/169
259 721.114
260 723.898
261 726.682
262 729.466 32/21
263 732.251
264 735.035
265 737.819 49/32
266 740.603
267 743.387
268 746.172 20/13
269 748.956
270 751.740
271 754.524 99/64
272 757.309
273 760.093 256/165
274 762.877
275 765.661 14/9
276 768.445
277 771.230
278 774.014 25/16
279 776.798
280 779.582
281 782.367 11/7
282 785.151 63/40
283 787.935
284 790.719
285 793.503 m6 128/81
286 796.288
287 799.072
288 801.856
289 804.640
290 807.425
291 810.209
292 812.993 8/5
293 815.777
294 818.561 77/48
295 821.346 45/28
296 824.130
297 826.914
298 829.698 21/13
299 832.483
300 835.267
301 838.051
302 840.835 512/315 13/8
303 843.619
304 846.404 44/27
305 849.188 80/49
306 851.972 18/11
307 854.756
308 857.541 64/39
309 860.325
310 863.109
311 865.893 33/20
312 868.677
313 871.462
314 874.246
315 877.030
316 879.814 128/77
317 882.599
318 885.383 5/3
319 888.167
320 890.951
321 893.735
322 896.520
323 899.304
324 902.088
325 904.872 M6 27/16
326 907.657
327 910.441 22/13
328 913.225
329 916.009 56/33
330 918.794
331 921.578
332 924.362 128/75
333 927.146
334 929.930
335 932.715 12/7
336 935.499
337 938.283 55/32
338 941.067
339 943.852 512/297
340 946.636
341 949.420
342 952.204 26/15
343 954.988
344 957.773
345 960.557 256/147
346 963.341 96/55
347 966.125
348 968.910 7/4
349 971.694
350 974.478
351 977.262 225/128 44/25
352 980.046
353 982.831
354 985.615
355 988.399
356 991.183
357 993.968
358 996.752 m7 16/9
359 999.536
360 1002.320
361 1005.104 25/14
362 1007.889 256/143
363 1010.673
364 1013.457
365 1016.241 9/5
366 1019.026
367 1021.810 231/128
368 1024.594
369 1027.378
370 1030.162
371 1032.947
372 1035.731 20/11
373 1038.515
374 1041.299
375 1044.084 64/35 117/64
376 1046.868
377 1049.652 11/6
378 1052.436
379 1055.220
380 1058.005
381 1060.789 24/13
382 1063.573
383 1066.357
384 1069.142
385 1071.926 13/7
386 1074.710 512/275
387 1077.494
388 1080.278 28/15
389 1083.063
390 1085.847
391 1088.631 15/8 512/273
392 1091.415
393 1094.200
394 1096.984
395 1099.768
396 1102.552 121/64
397 1105.336
398 1108.121 M7 243/128
399 1110.905
400 1113.689
401 1116.473 40/21
402 1119.258 21/11
403 1122.042
404 1124.826 245/128
405 1127.610 48/25
406 1130.394
407 1133.179
408 1135.963 27/14
409 1138.747
410 1141.531
411 1144.316
412 1147.100 64/33
413 1149.884
414 1152.668 35/18
415 1155.452 39/20
416 1158.237
417 1161.021 125/64
418 1163.805 96/49
419 1166.589
420 1169.374
421 1172.158 63/32
422 1174.942
423 1177.726
424 1180.510
425 1183.295
426 1186.079
427 1188.863
428 1191.647
429 1194.432
430 1197.216
431 1200.000 P8 2/1
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