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"
|-
! Degree  
! Degree  
! Cents  
! Cents  
Line 9: Line 14:
|-
|-
| 0  
| 0  
|
| 0.000
|
| P1
|
| '''1/1'''
|
|  
|
|  
|  
|  
|-
|-
| 1  
| 1  
|
| 2.784
|
|  
|  
|  
| ''6144/6125''
| 441/440
| ''351/350''
|-
|-
| 2  
| 2  
|
| 5.568
|
|  
|
|  
|
|  
|
| 385/384
''1375/1372''
|  
|  
|-
|-
| 3  
| 3  
|
| 8.353
|
|  
|
|  
|
| 1029/1024
|
225/224
|  
|  
|  
|-
|-
| 4  
| 4  
|
| 11.137
|
|  
|
|  
|
| ''126/125''
|
| 1331/1323
|  
|  
|-
|-
| 5  
| 5  
|
| 13.921
|
|  
|
|  
|
|  
|
| ''4125/4096''
|  
|  
|-
|-
| 6  
| 6  
|
| 16.705
|
|  
|
|  
|  
|  
| 1344/1331
| 105/104
|-
|-
| 7  
| 7  
|
| 19.490
|
|  
|
|  
|
| ''81/80''
|
|  
|  
|  
|-
|-
| 8  
| 8  
|
| 22.274
|
|  
|
|  
|
|  
|
| 245/242
|  
|  
|-
|-
| 9  
| 9  
|
| 25.058
|
|  
|
|  
|
|  
|
| 2079/2048
|  
|  
|-
|-
| 10  
| 10  
|
| 27.842
|
|  
|
|  
|
| 64/63
|
|  
|  
|  
|-
|-
| 11  
| 11  
|
| 30.626
|
|  
|
|  
|
|  
|
| 56/55
|  
|  
|-
|-
| 12  
| 12  
|
| 33.411
|
|  
|
|  
|
|  
|
| ''55/54''
|  
|  
|-
|-
| 13  
| 13  
|
| 36.395
|
|  
|
|  
|
| 49/48
|
|  
|  
|  
|-
|-
| 14  
| 14  
|
| 38.979
|  
|  
| ''128/125''
|
|
|
|-
|-
| 15  
| 15  
|
| 41.763
|
|  
|
|  
|
|  
|
| ''1375/1344''
|  
|  
|-
|-
| 16  
| 16  
|
| 44.548
|
|  
|
|  
|
|  
|  
|  
| 40/39
|-
|-
| 17  
| 17  
|
| 47.332
|
|  
|
|  
|
| ''36/35''
|
|  
|  
|  
|-
|-
| 18  
| 18  
|
| 50.116
|
|  
|
|  
|
|  
|
| ''1120/1089''
|  
|  
|-
|-
| 19  
| 19  
|
| 52.900
|
|  
|
|  
|
|  
|
| 33/32
|  
|  
|-
|-
| 20  
| 20  
|
| 55.684
|
|  
|
|  
|
|  
|
| ''1225/1188''
|  
|  
|-
|-
| 21  
| 21  
|
| 58.469
|  
|  
|-
|
| 22  
|
|
|
|
| ''6875/6656''
|
|-
|
| 22  
|
| 61.253
|  
|  
|  
| 3136/3025
|  
|  
|-
|-
| 23  
| 23  
|
| 64.037
|
|  
|
|  
|
| 28/27
|
|  
|  
|  
|-
|-
| 24  
| 24  
|
| 66.821
|  
|  
|
|
|
| ''4900/4719''
|-
|-
| 25  
| 25  
|
| 69.606
|
|  
|
|  
|
|  
|
| ''343/330''
|  
|  
|-
|-
| 26  
| 26  
|
| 72.390
|
|  
|
| ''25/24''
|
|  
|
|  
|  
|  
|-
|-
| 27  
| 27  
|
| 75.174
|
|  
|
|  
|
| 256/245
|
|  
|  
|  
|-
|-
| 28  
| 28  
|
| 77.958
|
|  
|
|  
|
|  
|
| ''288/275''
|  
|  
|-
|-
| 29  
| 29  
|
| 80.742
|
|  
|
|  
|
|  
|
| 22/21
|  
|  
|-
|-
| 30  
| 30  
|
| 83.527
|
|  
|
|  
|
| 21/20
|
|  
|  
|  
|-
|-
| 31  
| 31  
|
| 86.311
|
|  
|
|  
|
|  
|
| 605/576
|  
|  
|-
|-
| 32  
| 32  
|
| 89.095
|
|  
|
|  
|
|  
|
| 539/512
|  
|  
|-
|-
| 33  
| 33  
|
| 91.879
|
| m2
|
| 135/128
|
|  
|
|  
|  
|  
|-
|-
| 34  
| 34  
|
| 94.664
|
|  
|
|  
|
|  
|
| 1568/1485
|  
|  
|-
|-
| 35  
| 35  
|
| 97.448
|
|  
|
|  
|
|  
|
| 128/121
|  
|  
|-
|-
| 36  
| 36  
|
| 100.232
|
|  
|
|  
|
|  
|
| ''297/280''
|  
|  
|-
|-
| 37  
| 37  
|
| 103.016
|
|  
|
|  
|
|  
|
| 35/33
|  
|  
|-
|-
| 38  
| 38  
|
| 105.800
|
|  
|
|  
|
|  
|
| 1029/968
|  
|  
|-
|-
| 39  
| 39  
|
| 108.585
|
|  
|
|  
|
|  
|
| 1408/1323
|  
|  
|-
|-
| 40  
| 40  
|
| 111.370
|  
|  
| 16/15
|
|
| 273/256
|-
|-
| 41  
| 41  
|
| 114.153
|
|  
|
|  
|
|  
|
| 294/275
|  
|  
|-
|-
| 42  
| 42  
|
| 116.937
|
|  
|
|  
|
|  
|
| ''1100/1029''
|  
|  
|-
|-
| 43  
| 43  
|
| 119.722
|
|  
|
|  
|
| 15/14
|
|  
|  
|  
|-
|-
| 44  
| 44  
|
| 122.506
|
|  
|
|  
|
|  
|
| 189/176
|  
|  
|-
|-
| 45  
| 45  
|
| 125.290
|
|  
|
|  
|
|  
|
| 275/256
|  
|  
|-
|-
| 46  
| 46  
|
| 128.074
|
|  
|
|  
|
|  
|  
|  
| 14/13
|-
|-
| 47  
| 47  
|
| 130.858
|
|  
|
|  
|
|  
|  
|  
| 3087/2860
|-
|-
| 48  
| 48  
|
| 133.643
|
|  
|
|  
|
|  
|
| 392/363
|  
|  
|-
|-
| 49  
| 49  
|
| 136.427
|
|  
|
|  
|  
|  
|
| ''1430/1323''
|-
|-
| 50  
| 50  
|
| 139.211
|  
|  
|
|
|
| 13/12
|-
|-
| 51  
| 51  
|
| 141.995
|
|  
|
|  
|
|  
|
| 525/484
|  
|  
|-
|-
| 52  
| 52  
|
| 144.780
|
|  
|
|  
|
|  
|
| 4608/4235
|  
|  
|-
|-
| 53  
| 53  
|
| 147.564
|
|  
|  
|  
|
|
| 572/525
|-
|-
| 54  
| 54  
|
| 150.348
|
|  
|
|  
|
|  
|
| 12/11
|  
|  
|-
|-
| 55  
| 55  
|
| 153.132
|
|  
|
|  
|
|  
|
| ''1323/1210''
|  
|  
|-
|-
| 56  
| 56  
|
| 155.916
|
|  
|
|  
|
| 35/32
|  
|  
| 128/117
|-
|-
| 57  
| 57  
|
| 158.701
|
|  
|
|  
|
|  
|
| 3087/2816
|  
|  
|-
|-
| 58  
| 58  
|
| 161.485
|
|  
|
|  
|
|  
|
| 484/441
|  
|  
|-
|-
| 59  
| 59  
|
| 164.269
|
|  
|
|  
|
|  
|
| 11/10
|  
|  
|-
|-
| 60  
| 60  
|
| 167.053
|
|  
|
|  
|
| 441/400
|
|  
|  
|  
|-
|-
| 61  
| 61  
|
| 169.838
|
|  
|
|  
|
|  
|
| 847/768
|  
|  
|-
|-
| 62  
| 62  
|
| 172.622
|
|  
|
|  
|
|  
|
| ''968/875''
|  
|  
|-
|-
| 63  
| 63  
|
| 175.406
|
|  
|
|  
|
| 448/405
|
|  
|  
|  
|-
|-
| 64  
| 64  
|
| 178.190
|
|  
|
|  
|
|  
|
| 256/231
|  
|  
|-
|-
| 65  
| 65  
|
| 180.974
|
|  
|
|  
|
|  
|
| 672/605
|  
|  
|-
|-
| 66  
| 66  
|
| 183.759
|
|  
|
| 10/9
|
|  
|
|  
|  
|  
|-
|-
| 67  
| 67  
|
| 186.543
|
|  
|
|  
|
|  
|
| 49/44
|  
|  
|-
|-
| 68  
| 68  
|
| 189.327
|
|  
|
|  
|
|  
|
| ''1925/1728''
|  
|  
|-
|-
| 69  
| 69  
|
| 192.111
|  
|  
|
|
| 352/315
| 143/128
|-
|-
| 70  
| 70  
|
| 194.900
|
|  
|
|  
|
| 28/25
|
|  
|  
|  
|-
|-
| 71  
| 71  
|
| 197.680
|  
|  
|-
|
| 72  
|
|
| ''3087/2750''
|
|
|
|-
|
| 72  
|
| 200.464
|  
|  
|  
| 55/49
|  
|  
|-
|-
| 73  
| 73  
|
| 203.248
|
| M2
|
| 9/8
|
|  
|
|  
|  
|  
|-
|-
| 74  
| 74  
|
| 206.032
|
|  
|
|  
|
| ''7203/6400''
|
|  
|  
|  
|-
|-
| 75  
| 75  
|
| 208.817
|
|  
|
|  
|
|  
|
| 1936/1715
|  
|  
|-
|-
| 76  
| 76  
|
| 211.601
|
|  
|
|  
|
|  
|  
|  
| ''325/288''
|-
|-
| 77  
| 77  
|
| 214.385
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 78  
| 78  
|
| 217.169
|  
|  
|
|
|
| 825/728
|-
|-
| 79  
| 79  
|
| 219.954
|
|  
|
|  
|
|  
|
| ''500/441''
|  
|  
|-
|-
| 80  
| 80  
|
| 222.738
|
|  
|
| 256/225
|
|  
|
| ''25/22''
|  
|  
|-
|-
| 81  
| 81  
|
| 225.522
|
|  
|
|  
|
|  
|  
|  
| 726/637
|-
|-
| 82  
| 82  
|
| 228.306
|
|  
|
|  
|
|  
|
| 3520/3087
|  
|  
|-
|-
| 83  
| 83  
|
| 231.090
|
|  
|
|  
|
| '''8/7'''
|
|  
|  
|  
|-
|-
| 84  
| 84  
|
| 233.875
|
|  
|
|  
|
|  
|
| 63/55
|  
|  
|-
|-
| 85  
| 85  
|
| 236.659
|
|  
|
|  
|
|  
|
| 55/48
|  
|  
|-
|-
| 86  
| 86  
|
| 239.443
|
|  
|
| 147/128
|
|  
|
|  
|  
|  
|-
|-
| 87  
| 87  
|
| 242.227
|
|  
|
|  
|
|  
|  
|  
| ''7371/6400''
|-
|-
| 88  
| 88  
|
| 245.012
|  
|  
|
|
|
| 2200/1911
|-
|-
| 89  
| 89  
|
| 247.796
|
|  
|  
|  
|
|
| 15/13
|-
|-
| 90  
| 90  
|
| 250.580
|  
|  
|-
|
| 91  
|
|
|
|
| 1323/1144
|
|-
|
| 91  
|
| 253.364
|  
|  
|  
| 1815/1568
|  
|  
|-
|-
| 92  
| 92  
|
| 256.148
|
|  
|
|  
|
|  
|
| 297/256
|  
|  
|-
|-
| 93  
| 93  
|
| 258.933
|
|  
|
|  
|
|  
|
| ''1225/1056''
|  
|  
|-
|-
| 94  
| 94  
|
| 261.717
|
|  
|
|  
|
|  
|
| 64/55
|  
|  
|-
|-
| 95  
| 95  
|
| 264.501
|
|  
|
|  
|
|  
|
| ''220/189''
|  
|  
|-
|-
| 96  
| 96  
|
| 267.285
|
|  
|
|  
|
| 7/6
|
|  
|  
|  
|-
|-
| 97  
| 97  
|
| 270.070
|
|  
|
|  
|
|  
|
| 1029/880
|  
|  
|-
|-
| 98  
| 98  
|
| 272.854
|
|  
|
|  
|
|  
|
| ''1375/1176''
|  
|  
|-
|-
| 99  
| 99  
|
| 275.638
|
|  
|
| 75/64
|
|  
|
|  
|  
|  
|-
|-
| 100  
| 100  
|
| 278.422
|
|  
|
|  
|
|  
|  
|  
| 168/143
|-
|-
| 101  
| 101  
|
| 281.206
|
|  
|
|  
|
|  
|
| 1210/1029
|  
|  
|-
|-
| 102  
| 102  
|
| 283.991
|
|  
|
|  
|
|  
|
| 33/28
|  
|  
|-
|-
| 103  
| 103  
|
| 286.775
|  
|  
|
|
|
| ''520/441''
|-
|-
| 104  
| 104  
|
| 289.559
|
|  
|
|  
|
|  
|  
|  
| 13/11
|-
|-
| 105  
| 105  
|
| 292.343
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 106  
| 106  
|
| 295.128
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 107  
| 107  
|
| 297.912
|
| m3
|
| ''32/27''
|
|  
|
|  
|  
|  
|-
|-
| 108  
| 108  
|
| 300.696
|
|  
|
|  
|
|  
|
|  
|
|-
| 109
| 303.480
|
|
|
|  
|  
|-
| 109
|  
|  
|-
|-
| 110  
| 110  
|
| 306.265
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 111  
| 111  
|
| 309.049
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 112  
| 112  
|
| 311.833
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 113  
| 113  
|
| 314.617
|
|  
|
| 6/5
|
|  
|
|  
|  
|  
|-
|-
| 114  
| 114  
|
| 317.401
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 115  
| 115  
|
| 320.186
|
|  
|
|  
|
|  
|
| 77/64
|
|-
| 116
| 322.970
|
|
|
|  
|  
|-
| 116
|  
|  
|-
|-
| 117  
| 117  
|
| 325.754
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 118  
| 118  
|
| 328.528
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 119  
| 119  
|
| 331.323
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 120  
| 120  
|
| 334.107
|
|  
|
|  
|
|  
|
| 40/33
|  
|  
|-
|-
| 121  
| 121  
|
| 336.891
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 122  
| 122  
|
| 339.675
|
|  
|
|  
|
|  
|  
|  
|-
| 123
|  
|  
|-
| 123
| 342.459
|
|
|
|
| 39/32
|-
|-
| 124  
| 124  
|
| 345.244
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 125  
| 125  
|
| 348.028
|
|  
|
|  
|
|  
|
| 11/9
|  
|  
|-
|-
| 126  
| 126  
|
| 350.812
|
|  
|
|  
|
| 49/40
|
|  
|  
|  
|-
|-
| 127  
| 127  
|
| 353.596
|
|  
|
|  
|
|  
|
| 27/22
|  
|  
|-
|-
| 128  
| 128  
|
| 356.381
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 129  
| 129  
|
| 359.165
|  
|  
|
| 315/256
|
| '''16/13'''
|-
|-
| 130  
| 130  
|
| 361.949
|
|  
|
|  
|
|  
|
|  
|
|-
| 131
| 364.733
|
|
|
|  
|  
|-
| 131
|  
|  
|-
|-
| 132  
| 132  
|
| 367.517
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 133  
| 133  
|
| 370.302
|
|  
|
|  
|
|  
|  
|  
| 26/21
|-
|-
| 134  
| 134  
|
| 373.086
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 135  
| 135  
|
| 375.870
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 136  
| 136  
|
| 378.654
|
|  
|
|  
|
| 56/45
|
|  
|  
|  
|-
|-
| 137  
| 137  
|
| 381.439
|
|  
|
|  
|
|  
|
| 96/77
|
|-
| 138
| 384.223
|
|
|
|  
|  
|-
| 138
|  
|  
|-
|-
| 139  
| 139  
|
| 387.007
|
|  
|
| '''5/4'''
|
|  
|
|  
|  
|  
|-
|-
| 140  
| 140  
|
| 389.791
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 141  
| 141  
|
| 392.575
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 142  
| 142  
|
| 395.360
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 143  
| 143  
|
| 398.144
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 144  
| 144  
|
| 400.928
|
|  
|
|  
|
|  
|
|  
|
|-
| 145
| 403.712
|
|
|
|  
|  
|-
| 145
|  
|  
|-
|-
| 146  
| 146  
|
| 406.497
|
| M3
|
| 81/64
|
|  
|
|  
|  
|  
|-
|-
| 147  
| 147  
|
| 409.281
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 148  
| 148  
|
| 412.065
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 149  
| 149  
|
| 414.849
|
|  
|
|  
|
| 80/63
|
|  
|  
|  
|-
|-
| 150  
| 150  
|
| 417.633
|
|  
|
|  
|
|  
|
| 14/11
|  
|  
|-
|-
| 151  
| 151  
|
| 420.418
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 152  
| 152  
|
| 423.202
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 153  
| 153  
|
| 425.986
|
|  
|
| 32/25
|
|  
|
|  
|  
|  
|-
|-
| 154  
| 154  
|
| 428.770
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 155  
| 155  
|
| 431.555
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 156  
| 156  
|
| 434.339
|
|  
|
|  
|
| 9/7
|
|  
|  
|  
|-
|-
| 157  
| 157  
|
| 437.123
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 158  
| 158  
|
| 439.907
|
|  
|
|  
|
|  
|
| 165/128
|  
|  
|-
|-
| 159  
| 159  
|
| 442.691
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 160  
| 160  
|
| 445.476
|
|  
|
|  
|
| 128/99
|
|  
|  
|  
|-
|-
| 161  
| 161  
|
| 448.260
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 162  
| 162  
|
| 451.044
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 163  
| 163  
|
| 453.828
|
|  
|  
|  
|
|
| 13/10
|-
|-
| 164  
| 164  
|
| 456.613
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 165  
| 165  
|
| 459.397
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 166  
| 166  
|
| 462.181
|
|  
|
|  
|
| 64/49
|
|  
|  
|  
|-
|-
| 167  
| 167  
|
| 464.965
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 168  
| 168  
|
| 467.749
|
|  
|
|  
|
|  
|
|  
|
|-
| 169
| 470.534
|
|
| 21/16
|  
|  
|-
| 169
|  
|  
|-
|-
| 170  
| 170  
|
| 473.318
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 171  
| 171  
|
| 476.102
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 172  
| 172  
|
| 478.886
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 173  
| 173  
|
| 481.671
|
|  
|  
|  
|
|
| 169/128
|-
|-
| 174  
| 174  
|
| 484.455
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 175  
| 175  
|
| 487.239
|
|  
|
|  
|
|  
|
|  
|
|-
| 176
| 490.023
|
|
|
|  
|  
|-
| 176
|  
|  
|-
|-
| 177  
| 177  
|
| 492.807
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 178  
| 178  
|
| 495.592
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 179  
| 179  
|
| 498.375
|
| P4
|
| '''4/3'''
|
|  
|
|  
|  
|  
|-
|-
| 180  
| 180  
|
| 501.160
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 181  
| 181  
|
| 503.944
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 182  
| 182  
|
| 506.729
|
|  
|
|  
|
|  
|
|  
|
|-
| 183
| 509.513
|
|
|
|  
|  
|-
| 183
|  
|  
|-
|-
| 184  
| 184  
|
| 512.297
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 185  
| 185  
|
| 515.081
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 186  
| 186  
|
| 517.865
|
|  
|
| ''27/20''
|
|  
|
|  
|  
|  
|-
|-
| 187  
| 187  
|
| 520.650
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 188  
| 188  
|
| 523.434
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 189  
| 189  
|
| 526.218
|  
|  
|-
|
| 256/189
|
|
|-
| 190  
| 190  
|
| 529.002
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 191  
| 191  
|
| 531.787
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 192  
| 192  
|
| 534.571
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 193  
| 193  
|
| 537.355
|
|  
|
|  
|
|  
|
| 15/11
|  
|  
|-
|-
| 194  
| 194  
|
| 540.139
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 195  
| 195  
|
| 542.923
|
|  
|
| ''175/128''
|
|  
|
|  
|  
|  
|-
|-
| 196  
| 196  
|
| 545.708
|
|  
|
|  
|
| 48/35
|
|  
|  
|  
|-
|-
| 197  
| 197  
|
| 548.492
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 198  
| 198  
|
| 551.276
|
|  
|
|  
|
|  
|
| '''11/8'''
|  
|  
|-
|-
| 199  
| 199  
|
| 554.060
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 200  
| 200  
|
| 556.845
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 201  
| 201  
|
| 559.629
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 202  
| 202  
|
| 562.413
|
|  
|
|  
|
|  
|  
|  
| 18/13
|-
|-
| 203  
| 203  
|
| 565.197
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 204  
| 204  
|
| 567.981
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 205  
| 205  
|
| 570.766
|
|  
|
| ''25/18''
|
|  
|
|  
|  
|  
|-
|-
| 206  
| 206  
|
| 573.550
|
|  
|
|  
|
|  
|  
|  
| 39/28
|-
|-
| 207  
| 207  
|
| 576.334
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 208  
| 208  
|
| 579.118
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 209  
| 209  
|
| 581.903
|
|  
|
|  
|
| 7/5
|
|  
|  
|  
|-
|-
| 210  
| 210  
|
| 584.687
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 211  
| 211  
|
| 587.471
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 212  
| 212  
|
| 590.255
|
| d5
|
| 45/32
|
|  
|
|  
|  
|  
|-
|-
| 213  
| 213  
|
| 593.039
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 214  
| 214  
|
| 595.824
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 215  
| 215  
|
| 598.608
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 216  
| 216  
|
| 601.392
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 217  
| 217  
|
| 604.176
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 218  
| 218  
|
| 606.961
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 219  
| 219  
|
| 609.745
|
| A4
|
| 64/45
|
|  
|
|  
|  
|  
|-
|-
| 220  
| 220  
|
| 612.529
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 221  
| 221  
|
| 615.313
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 222  
| 222  
|
| 618.097
|
|  
|
|  
|
| 10/7
|
|  
|  
|  
|-
|-
| 223  
| 223  
|
| 620.882
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 224  
| 224  
|
| 623.666
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 225  
| 225  
|
| 626.450
|  
|  
|
|
|
| 56/39
|-
|-
| 226  
| 226  
|
| 629.234
|
|  
|
| ''36/25''
|
|  
|
|  
|  
|  
|-
|-
| 227  
| 227  
|
| 632.019
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 228  
| 228  
|
| 634.803
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 229  
| 229  
|
| 637.587
|
|  
|  
|  
|
|
| 13/9
|-
|-
| 230  
| 230  
|
| 640.371
|
|  
|
|  
|
|  
|
|  
|
|-
| 231
| 643.155
|
|
|
|  
|  
|-
| 231
|  
|  
|-
|-
| 232  
| 232  
|
| 645.940
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 233  
| 233  
|
| 648.724
|
|  
|
|  
|
|  
|
| '''16/11'''
|  
|  
|-
|-
| 234  
| 234  
|
| 651.508
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 235  
| 235  
|
| 654.292
|
|  
|
|  
|
| ''35/24''
|
|  
|  
|  
|-
|-
| 236  
| 236  
|
| 657.077
|
|  
|
|  
|
| ''256/175''
|
|  
|  
|  
|-
|-
| 237  
| 237  
|
| 659.861
|
|  
|  
|  
|-
| 238
|  
|  
|-
| 239
|  
|  
|-
| 240
|  
|  
|-
|-
| 241
| 238
|
| 662.645
|  
|  
|-
| 242
|  
|  
|-
| 243
|  
|  
|-
| 22/15
| 244
|  
|  
|-
|-
| 245
| 239
|
| 665.429
|  
|  
|-
| 246
|  
|  
|-
| 247
|  
|  
|-
| 248
|  
|  
|-
| 249
|  
|  
|-
|-
| 250
| 240
|
| 668.213
|  
|  
|-
| 251
|  
|  
|-
| 252
|  
|  
|-
| 253
|  
|  
|-
| 254
|  
|  
|-
|-
| 255
| 241
|
| 671.000
|  
|  
|-
| 256
|  
|  
|-
| 257
|  
|  
|-
| 258
|  
|  
|-
| 259
|  
|  
|-
|-
| 260
| 242
|
| 673.782
|  
|  
|-
| 261
|  
|  
|-
| 262
|  
|  
|-
| 189/128
| 263
|  
|  
|-
|-
| 264
| 243
|
| 676.566
|  
|  
|-
| 265
|  
|  
|-
| 266
|  
|  
|-
| 267
|  
|  
|-
| 268
|  
|  
|-
|-
| 269
| 244
|
| 679.350
|  
|  
|-
| 270
|  
|  
|-
| 271
|  
|  
|-
| 272
|  
|  
|-
| 273
|  
|  
|-
|-
| 274
| 245
|
| 682.135
|  
|  
|-
| ''40/27''
| 275
|  
|  
|-
| 276
|  
|  
|-
| 277
|  
|  
|-
|-
| 278
| 246
|
| 684.919
|  
|  
|-
| 279
|  
|  
|-
| 280
|  
|  
|-
| 281
|  
|  
|-
| 282
|  
|  
|-
|-
| 283
| 247
|
| 687.703
|  
|  
|-
| 284
|  
|  
|-
| 285
|  
|  
|-
| 286
|  
|  
|-
| 287
|  
|  
|-
|-
| 288
| 248
|
| 690.487
|  
|  
|-
| 289
|  
|  
|-
| 290
|  
|  
|-
| 291
|  
|  
|-
| 292
|  
|  
|-
|-
| 293
| 249
|
| 693.271
|  
|  
|-
| 294
|  
|  
|-
| 295
|  
|  
|-
| 296
|  
|  
|-
| 297
|  
|  
|-
|-
| 298
| 250
|
| 696.056
|  
|  
|-
| 299
|  
|  
|-
| 300
|  
|  
|-
| 301
|  
|  
|-
| 302
|  
|  
|-
|-
| 303
| 251
|
| 698.840
|  
|  
|-
| 304
|  
|  
|-
| 305
|  
|  
|-
| 306
|  
|  
|-
| 307
|  
|  
|-
|-
| 308
| 252
|
| 701.624
|
| P5
|
| '''3/2'''
|  
|  
|-
| 309
|  
|  
|-
| 310
|  
|  
|-
|-
| 311
| 253
|
| 704.408
|  
|  
|-
| 312
|  
|  
|-
| 313
|  
|  
|-
| 314
|  
|  
|-
| 315
|  
|  
|-
|-
| 316
| 254
|
| 707.193
|  
|  
|-
| 317
|  
|  
|-
| 318
|  
|  
|-
| 319
|  
|  
|-
| 320
|  
|  
|-
|-
| 321
| 255
|
| 709.977
|  
|  
|-
| 322
|  
|  
|-
| 323
|  
|  
|-
| 324
|  
|  
|-
| 325
|  
|  
|-
|-
| 326
| 256
|
| 712.761
|
|  
|
|  
|  
|  
|-
| 327
|  
|  
|-
| 328
|  
|  
|-
|-
| 329
| 257
|
| 715.545
|  
|  
|-
| 330
|  
|  
|-
| 331
|  
|  
|-
| 332
|  
|  
|-
| 333
|  
|  
|-
|-
| 334
| 258
|
| 718.329
|  
|  
|-
| 335
|  
|  
|-
| 336
|  
|  
|-
| 337
|  
|  
| 256/169
|-
|-
| 338
| 259
|
| 721.114
|  
|  
|-
| 339
|  
|  
|-
| 340
|  
|  
|-
| 341
|  
|  
|-
| 342
|  
|  
|-
|-
| 343
| 260
|
| 723.898
|  
|  
|-
| 344
|  
|  
|-
| 345
|  
|  
|-
| 346
|  
|  
|-
| 347
|  
|  
|-
|-
| 348
| 261
|
| 726.682
|  
|  
|-
| 349
|  
|  
|-
| 350
|  
|  
|-
| 351
|  
|  
|-
| 352
|  
|  
|-
|-
| 353
| 262
|
| 729.466
|  
|  
|-
| 354
|  
|  
|-
| 32/21
| 355
|  
|  
|-
| 356
|  
|  
|-
|-
| 357
| 263
|
| 732.251
|  
|  
|-
| 358
|  
|  
|-
| 359
|  
|  
|-
| 360
|  
|  
|-
| 361
|  
|  
|-
|-
| 362
| 264
|
| 735.035
|  
|  
|-
| 363
|  
|  
|-
| 364
|  
|  
|-
| 365
|  
|  
|-
| 366
|  
|  
|-
|-
| 367
| 265
|
| 737.819
|  
|  
|-
| 368
|  
|  
|-
| 49/32
| 369
|  
|  
|-
| 370
|  
|  
|-
|-
| 371
| 266
|
| 740.603
|  
|  
|-
| 372
|  
|  
|-
| 373
|  
|  
|-
| 374
|  
|  
|-
| 375
|  
|  
|-
|-
| 376
| 267
|
| 743.387
|  
|  
|-
| 377
|  
|  
|-
| 378
|  
|  
|-
| 379
|  
|  
|-
| 380
|  
|  
|-
|-
| 381
| 268
|
| 746.172
|  
|  
|-
| 382
|  
|  
|-
| 383
|  
|  
|-
| 384
|  
|  
| 20/13
|-
|-
| 385
| 269
|
| 748.956
|
|  
|
|  
|  
|  
|-
| 386
|  
|  
|-
| 387
|  
|  
|-
|-
| 388
| 270
|
| 751.740
|  
|  
|-
| 389
|  
|  
|-
| 390
|  
|  
|-
| 391
|  
|  
|-
| 392
|  
|  
|-
|-
| 393
| 271
|
| 754.524
|  
|  
|-
| 394
|  
|  
|-
| 395
|  
|  
|-
| 99/64
| 396
|  
|  
|-
|-
| 397
| 272
|
| 757.309
|  
|  
|-
| 398
|  
|  
|-
| 399
|  
|  
|-
| 400
|  
|  
|-
| 401
|  
|  
|-
|-
| 402
| 273
|
| 760.093
|  
|  
|-
| 403
|  
|  
|-
| 404
|  
|  
|-
| 256/165
| 405
|  
|  
|-
|-
| 406
| 274
|
| 762.877
|  
|  
|-
| 407
|  
|  
|-
| 408
|  
|  
|-
| 409
|  
|  
|-
| 410
|  
|  
|-
|-
| 411
| 275
|
| 765.661
|  
|  
|-
| 412
|  
|  
|-
| 14/9
| 413
|  
|  
|-
| 414
|  
|  
|-
|-
| 415
| 276
|
| 768.445
|
|  
|
|  
|  
|  
|-
| 416
|  
|  
|-
| 417
|  
|  
|-
|-
| 418
| 277
|
| 771.230
|  
|  
|-
| 419
|  
|  
|-
| 420
|  
|  
|-
| 421
|  
|  
|-
| 422
|  
|  
|-
|-
| 423
| 278
|
| 774.014
|  
|  
|-
| 25/16
| 424
|  
|  
|-
| 425
|  
|  
|-
| 426
|  
|  
|-
|-
| 427  
| 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
|  
|  
|  
|-
| 428
|  
|  
|-
| 429
|  
|  
|-
| 430
|  
|  
|-
|-
| 431  
| 431  
|
| 1200.000
|
| P8
|
| '''2/1'''
|
|  
|
|  
|  
|  
|}
|}
[[Category:431edo]]
[[Category:Tables of edo intervals]]
{{Todo| complete table }}