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 11: Line 16:
| 0.000
| 0.000
| P1
| P1
| colspan="4" | '''1/1'''
| '''1/1'''
|
|
|
|-
|-
| 1  
| 1  
| 2.784
| 2.784
| 
| 
| 
| 
|  
|  
|
| ''6144/6125''
| 441/440
| ''351/350''
|-
|-
| 2  
| 2  
| 5.568
| 5.568
|
|  
|
|  
|
|  
|
| 385/384
''1375/1372''
|  
|  
|-
|-
| 3  
| 3  
| 8.353
| 8.353
|
|  
|
|  
|
| 1029/1024
|
225/224
|  
|  
|  
|-
|-
| 4  
| 4  
| 11.137
| 11.137
|
|  
|
|  
|
| ''126/125''
|
| 1331/1323
|  
|  
|-
|-
| 5  
| 5  
| 13.921
| 13.921
|
|  
|
|  
|
|  
|
| ''4125/4096''
|  
|  
|-
|-
| 6  
| 6  
| 16.705
| 16.705
| 
| 
| 
| 
|  
|  
|
|
| 1344/1331
| 105/104
|-
|-
| 7  
| 7  
| 19.490
| 19.490
|
|  
|
|  
|
| ''81/80''
|
|  
|  
|  
|-
|-
| 8  
| 8  
| 22.274
| 22.274
|
|  
|
|  
|
|  
|
| 245/242
|  
|  
|-
|-
| 9  
| 9  
| 25.058
| 25.058
|
|  
|
|  
|
|  
|
| 2079/2048
|  
|  
|-
|-
| 10  
| 10  
| 27.842
| 27.842
|
|  
|
|  
| 64/63
| 64/63
|
|  
|  
|  
|-
|-
| 11  
| 11  
| 30.626
| 30.626
|
|  
|
|  
|
|  
|
| 56/55
|  
|  
|-
|-
| 12  
| 12  
| 33.411
| 33.411
|
|  
|
|  
|
|  
|
| ''55/54''
|  
|  
|-
|-
| 13  
| 13  
| 36.395
| 36.395
|
|  
|
|  
| 49/48
| 49/48
|
|  
|  
|  
|-
|-
| 14  
| 14  
| 38.979
| 38.979
| 
| 
| 
| 
|  
|  
| ''128/125''
|
|
|
|-
|-
| 15  
| 15  
| 41.763
| 41.763
|
|  
| ''128/125''
|
| 
|
| 
| ''1375/1344''
|  
|  
|-
|-
| 16  
| 16  
| 44.548
| 44.548
|
|  
|
|  
|
|  
|
|  
| ''40/39''
| 40/39
|-
|-
| 17  
| 17  
| 47.332
| 47.332
|
|  
|
|  
|
| ''36/35''
|
|  
|  
|  
|-
|-
| 18  
| 18  
| 50.116
| 50.116
|
|  
|
|  
| ''36/35''
|
| 
| ''1120/1089''
|  
|  
|-
|-
| 19  
| 19  
| 52.900
| 52.900
|
|  
|
|  
|
|  
| 33/32
| 33/32
|  
|  
Line 167: Line 177:
| 20  
| 20  
| 55.684
| 55.684
|
|  
|
|  
|
|  
|
| ''1225/1188''
|  
|  
|-
|-
| 21  
| 21  
| 58.469
| 58.469
| 
| 
| 
| 
|  
|  
|
|
|
| ''6875/6656''
|-
|-
| 22  
| 22  
| 61.253
| 61.253
|
|  
|
|  
|
|  
|
| 3136/3025
|  
|  
|-
|-
| 23  
| 23  
| 64.037
| 64.037
|
|  
|
|  
| ''28/27''
| 28/27
|
|  
|  
|  
|-
|-
| 24  
| 24  
| 66.821
| 66.821
| 
| 
| 
| 
|  
|  
|
|
|
| ''4900/4719''
|-
|-
| 25  
| 25  
| 69.606
| 69.606
|
|  
| ''25/24''
|
| 
|
| 
| ''343/330''
|  
|  
|-
|-
| 26  
| 26  
| 72.390
| 72.390
|
|  
|
| ''25/24''
|
|  
|
|  
|  
|  
|-
|-
| 27  
| 27  
| 75.174
| 75.174
|
|  
|
|  
| ''256/245''
| 256/245
|
|  
|  
|  
|-
|-
| 28  
| 28  
| 77.958
| 77.958
|
|  
|
|  
|
|  
|
| ''288/275''
|  
|  
|-
|-
| 29  
| 29  
| 80.742
| 80.742
|
|  
|
|  
|
|  
| 22/21
| 22/21
|  
|  
Line 247: Line 257:
| 30  
| 30  
| 83.527
| 83.527
|
|  
|
|  
| ''21/20''
| 21/20
|
|  
|  
|  
|-
|-
| 31  
| 31  
| 86.311
| 86.311
|
|  
|
|  
|
|  
|
| 605/576
|  
|  
|-
|-
| 32  
| 32  
| 89.095
| 89.095
| m2
| ''256/243''
| 
| 
|  
|  
|-
|
|
| 539/512
|
|-
| 33  
| 33  
| 91.879
| 91.879
|
| m2
| 135/128
| 135/128
|
|  
|
|  
|  
|  
|-
|-
| 34  
| 34  
| 94.664
| 94.664
|
|  
|
|  
|
|  
|
| 1568/1485
|  
|  
|-
|-
| 35  
| 35  
| 97.448
| 97.448
|
|  
|
|  
|
|  
| 128/121
| 128/121
|  
|  
Line 295: Line 305:
| 36  
| 36  
| 100.232
| 100.232
|
|  
|
|  
|
|  
|
| ''297/280''
|  
|  
|-
|-
| 37  
| 37  
| 103.016
| 103.016
|
|  
|
|  
|
|  
|
| 35/33
|  
|  
|-
|-
| 38  
| 38  
| 105.800
| 105.800
|
|  
|
|  
|
|  
|
| 1029/968
|  
|  
|-
|-
| 39  
| 39  
| 108.585
| 108.585
|
|  
|
|  
|
|  
|
| 1408/1323
|  
|  
|-
|-
| 40  
| 40  
| 111.370
| 111.370
|
|  
| 16/15
| 16/15
|
|  
|
|  
| 273/256
| 273/256
|-
|-
| 41  
| 41  
| 114.153
| 114.153
|
|  
|
|  
|
|  
|
| 294/275
|  
|  
|-
|-
| 42  
| 42  
| 116.937
| 116.937
|
|  
|
|  
|
|  
|
| ''1100/1029''
|  
|  
|-
|-
| 43  
| 43  
| 119.722
| 119.722
|
|  
|
|  
| 15/14
| 15/14
|
|  
|  
|  
|-
|-
| 44  
| 44  
| 122.506
| 122.506
|
|  
|
|  
|
|  
|
| 189/176
|  
|  
|-
|-
| 45  
| 45  
| 125.290
| 125.290
|
|  
|
|  
|
|  
| ''275/256''
| 275/256
|  
|  
|-
|-
| 46  
| 46  
| 128.074
| 128.074
|
|  
|
|  
|
|  
|
|  
| 14/13
| 14/13
|-
|-
| 47  
| 47  
| 130.858
| 130.858
| 
| 
| 
| 
|  
|  
|
|
|
| 3087/2860
|-
|-
| 48  
| 48  
| 133.643
| 133.643
|
|  
|
|  
|
|  
|
| 392/363
|  
|  
|-
|-
| 49  
| 49  
| 136.427
| 136.427
| 
| 
| 
| 
|  
|  
|
|
|
| ''1430/1323''
|-
|-
| 50  
| 50  
| 139.211
| 139.211
|
|  
|
|  
|
|  
|
|  
| 13/12
| 13/12
|-
|-
| 51  
| 51  
| 141.995
| 141.995
|
|  
|
|  
|
|  
|
| 525/484
|  
|  
|-
|-
| 52  
| 52  
| 144.780
| 144.780
|
|  
|
|  
|
|  
|
| 4608/4235
|  
|  
|-
|-
| 53  
| 53  
| 147.564
| 147.564
| 
| 
| 
| 
|  
|  
|
|
|
| 572/525
|-
|-
| 54  
| 54  
| 150.348
| 150.348
|
|  
|
|  
|
|  
| 12/11
| 12/11
|  
|  
Line 447: Line 457:
| 55  
| 55  
| 153.132
| 153.132
|
|  
|
|  
|
|  
|
| ''1323/1210''
|  
|  
|-
|-
| 56  
| 56  
| 155.916
| 155.916
|
|  
|
|  
| ''55/32''
| 35/32
|
|  
| 128/117
| 128/117
|-
|-
| 57  
| 57  
| 158.701
| 158.701
|
|  
|
|  
|
|  
|
| 3087/2816
|  
|  
|-
|-
| 58  
| 58  
| 161.485
| 161.485
|
|  
|
|  
|
|  
|
| 484/441
|  
|  
|-
|-
| 59  
| 59  
| 164.269
| 164.269
|
|  
|
|  
|
|  
| ''11/10''
| 11/10
|  
|  
|-
|-
| 60  
| 60  
| 167.053
| 167.053
|
|  
|
|  
|
| 441/400
|
|  
|  
|  
|-
|-
| 61  
| 61  
| 169.838
| 169.838
|
|  
|
|  
|
|  
|
| 847/768
|  
|  
|-
|-
| 62  
| 62  
| 172.622
| 172.622
|
|  
|
|  
|
|  
|
| ''968/875''
|  
|  
|-
|-
| 63  
| 63  
| 175.406
| 175.406
|
|  
|
|  
|
| 448/405
|
|  
|  
|  
|-
|-
| 64  
| 64  
| 178.190
| 178.190
|
|  
|
|  
|
|  
| 256/231
| 256/231
|  
|  
|-
|-
| 65  
| 65  
| 180.974
| 180.974
|
|  
|
|  
|
|  
|
| 672/605
|  
|  
|-
|-
| 66  
| 66  
| 183.759
| 183.759
|
|  
| ''10/9''
| 10/9
|
|  
|
|  
|  
|  
|-
|-
| 67  
| 67  
| 186.543
| 186.543
|
|  
|
|  
|
|  
|
| 49/44
|  
|  
|-
|-
| 68  
| 68  
| 189.327
| 189.327
|
|  
|
|  
|
|  
|
| ''1925/1728''
|  
|  
|-
|-
| 69  
| 69  
| 192.111
| 192.111
|
|  
|
|  
|
|  
|
| 352/315
| 143/128
| 143/128
|-
|-
| 70  
| 70  
| 194.900
| 194.900
|
|  
|
|  
| ''28/25''
| 28/25
|
|  
|  
|  
|-
|-
| 71  
| 71  
| 197.680
| 197.680
|
|  
|
|  
|
|  
|
| ''3087/2750''
|  
|  
|-
|-
| 72  
| 72  
| 200.464
| 200.464
|
|  
|
|  
|
|  
|
| 55/49
|  
|  
|-
|-
Line 593: Line 603:
| M2
| M2
| 9/8
| 9/8
|
|  
|
|  
|  
|  
|-
|-
| 74  
| 74  
| 206.032
| 206.032
|
|  
|
|  
|
| ''7203/6400''
|
|  
|  
|  
|-
|-
| 75  
| 75  
| 208.817
| 208.817
| 
| 
| 
| 
|  
|  
|-
|
|
| 1936/1715
|
|-
| 76  
| 76  
| 211.601
| 211.601
| 
| 
| 
| 
|  
|  
|
|
|
| ''325/288''
|-
|-
| 77  
| 77  
| 214.385
| 214.385
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 78  
| 78  
| 217.169
| 217.169
| 
| 
| 
| 
|  
|  
|
|
|
| 825/728
|-
|-
| 79  
| 79  
| 219.954
| 219.954
|
|  
|
|  
|
|  
| ''25/22''
| ''500/441''
|  
|  
|-
|-
| 80  
| 80  
| 222.738
| 222.738
|
|  
| ''256/225''
| 256/225
|
|  
|
| ''25/22''
|  
|  
|-
|-
| 81  
| 81  
| 225.522
| 225.522
| 
| 
| 
| 
|  
|  
|
|
|
| 726/637
|-
|-
| 82  
| 82  
| 228.306
| 228.306
|
|  
|
|  
|
|  
|
| 3520/3087
|  
|  
|-
|-
| 83  
| 83  
| 231.090
| 231.090
|
|  
|
|  
| '''8/7'''
| '''8/7'''
|
|  
|  
|  
|-
|-
| 84  
| 84  
| 233.875
| 233.875
|
|  
|
|  
|
|  
|
| 63/55
|  
|  
|-
|-
| 85  
| 85  
| 236.659
| 236.659
| 
| 
| 
| ''55/48''
|  
|  
|-
|
|
| 55/48
|
|-
| 86  
| 86  
| 239.443
| 239.443
|
|  
| 147/128
| 147/128
|
|  
|
|  
|  
|  
|-
|-
| 87  
| 87  
| 242.227
| 242.227
| 
| 
| 
| 
|  
|  
|
|
|
| ''7371/6400''
|-
|-
| 88  
| 88  
| 245.012
| 245.012
| 
| 
| 
| 
|  
|  
|
|
|
| 2200/1911
|-
|-
| 89  
| 89  
| 247.796
| 247.796
|
|  
|
|  
|
|  
|
|  
| 15/13
| 15/13
|-
|-
| 90  
| 90  
| 250.580
| 250.580
| 
| 
| 
| 
|  
|  
|
|
|
| 1323/1144
|-
|-
| 91  
| 91  
| 253.364
| 253.364
|
|  
|
|  
|
|  
|
| 1815/1568
|  
|  
|-
|-
| 92  
| 92  
| 256.148
| 256.148
|
|  
|
|  
|
|  
| ''297/256''
| 297/256
|  
|  
|-
|-
| 93  
| 93  
| 258.933
| 258.933
|
|  
|
|  
|
|  
|
| ''1225/1056''
|  
|  
|-
|-
| 94  
| 94  
| 261.717
| 261.717
|
|  
|
|  
|
|  
| 64/55
| 64/55
|  
|  
Line 767: Line 777:
| 95  
| 95  
| 264.501
| 264.501
|
|  
|
|  
|
|  
|
| ''220/189''
|  
|  
|-
|-
| 96  
| 96  
| 267.285
| 267.285
|
|  
|
|  
| 7/6
| 7/6
|
|  
|  
|  
|-
|-
| 97  
| 97  
| 270.070
| 270.070
|
|  
|
|  
|
|  
|
| 1029/880
|  
|  
|-
|-
| 98  
| 98  
| 272.854
| 272.854
|
|  
|
|  
|
|  
|
| ''1375/1176''
|  
|  
|-
|-
| 99  
| 99  
| 275.638
| 275.638
|
|  
| ''75/64''
| 75/64
|
|  
|
|  
|  
|  
|-
|-
| 100  
| 100  
| 278.422
| 278.422
| 
| 
| 
| 
|  
|  
|
|
|
| 168/143
|-
|-
| 101  
| 101  
| 281.206
| 281.206
|
|  
|
|  
|
|  
|
| 1210/1029
|  
|  
|-
|-
| 102  
| 102  
| 283.991
| 283.991
|
|  
|
|  
|
|  
| 33/28
| 33/28
|  
|  
Line 831: Line 841:
| 103  
| 103  
| 286.775
| 286.775
| 
| 
| 
| 
|  
|  
|
|
|
| ''520/441''
|-
|-
| 104  
| 104  
| 289.559
| 289.559
|
|  
|
|  
|
|  
|
|  
| 13/11
| 13/11
|-
|-
| 105  
| 105  
| 292.343
| 292.343
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 106  
| 106  
| 295.128
| 295.128
| m3
|  
| ''32/27''
|  
|
|  
|
|  
|  
|  
|-
|-
| 107  
| 107  
| 297.912
| 297.912
|
| m3
|
| ''32/27''
|
|  
|
|  
|  
|  
|-
|-
| 108  
| 108  
| 300.696
| 300.696
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 109  
| 109  
| 303.480
| 303.480
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 110  
| 110  
| 306.265
| 306.265
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 111  
| 111  
| 309.049
| 309.049
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 112  
| 112  
| 311.833
| 311.833
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 113  
| 113  
| 314.617
| 314.617
|
|  
| ''6/5''
| 6/5
|
|  
|
|  
|  
|  
|-
|-
| 114  
| 114  
| 317.401
| 317.401
| 
| 
| 
| 
|  
|  
|-
|
|
|
|
|-
| 115  
| 115  
| 320.186
| 320.186
|
|  
|
|  
|
|  
| 77/64
| 77/64
|  
|  
Line 935: Line 945:
| 116  
| 116  
| 322.970
| 322.970
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 117  
| 117  
| 325.754
| 325.754
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 118  
| 118  
| 328.528
| 328.528
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 119  
| 119  
| 331.323
| 331.323
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 120  
| 120  
| 334.107
| 334.107
|
|  
|
|  
|
|  
| ''40/33''
| 40/33
|  
|  
|-
|-
| 121  
| 121  
| 336.891
| 336.891
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 122  
| 122  
| 339.675
| 339.675
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 123  
| 123  
| 342.459
| 342.459
|
|  
|
|  
|
|  
|
|  
| 39/32
| 39/32
|-
|-
| 124  
| 124  
| 345.244
| 345.244
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 125  
| 125  
| 348.028
| 348.028
|
|  
|
|  
|
|  
| 11/9
| 11/9
|  
|  
Line 1,015: Line 1,025:
| 126  
| 126  
| 350.812
| 350.812
|
|  
|
|  
| 49/40
| 49/40
|
|  
|  
|  
|-
|-
| 127  
| 127  
| 353.596
| 353.596
|
|  
|
|  
|
|  
| ''27/22''
| 27/22
|  
|  
|-
|-
| 128  
| 128  
| 356.381
| 356.381
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 129  
| 129  
| 359.165
| 359.165
|
|  
|
|  
| 315/256
| 315/256
|
|  
| '''16/13'''
| '''16/13'''
|-
|-
| 130  
| 130  
| 361.949
| 361.949
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 131  
| 131  
| 364.733
| 364.733
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 132  
| 132  
| 367.517
| 367.517
| 
| 
| 
| 
|  
|  
|-
|
|
|
|
|-
| 133  
| 133  
| 370.302
| 370.302
|
|  
|
|  
|
|  
|
|  
| 26/21
| 26/21
|-
|-
| 134  
| 134  
| 373.086
| 373.086
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 135  
| 135  
| 375.870
| 375.870
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 136  
| 136  
| 378.654
| 378.654
|
|  
|
|  
| 56/45
| 56/45
|
|  
|  
|  
|-
|-
| 137  
| 137  
| 381.439
| 381.439
|
|  
|
|  
|
|  
| 96/77
| 96/77
|  
|  
Line 1,111: Line 1,121:
| 138  
| 138  
| 384.223
| 384.223
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 139  
| 139  
| 387.007
| 387.007
|
|  
| '''5/4'''
| '''5/4'''
|
|  
|
|  
|  
|  
|-
|-
| 140  
| 140  
| 389.791
| 389.791
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 141  
| 141  
| 392.575
| 392.575
| 
| 
| 
| 
|  
|  
|-
|
|
|
|
|-
| 142  
| 142  
| 395.360
| 395.360
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 143  
| 143  
| 398.144
| 398.144
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 144  
| 144  
| 400.928
| 400.928
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 145  
| 145  
| 403.712
| 403.712
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
Line 1,176: Line 1,186:
| 406.497
| 406.497
| M3
| M3
| ''81/64''
| 81/64
|
|  
|
|  
|  
|  
|-
|-
| 147  
| 147  
| 409.281
| 409.281
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 148  
| 148  
| 412.065
| 412.065
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 149  
| 149  
| 414.849
| 414.849
|
|  
|
|  
| ''80/63''
| 80/63
|
|  
|  
|  
|-
|-
| 150  
| 150  
| 417.633
| 417.633
|
|  
|
|  
|
|  
| 14/11
| 14/11
|  
|  
|-
|-
| 151  
| 151  
| 420.418
| 420.418
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 152  
| 152  
| 423.202
| 423.202
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 153  
| 153  
| 425.986
| 425.986
|
|  
| ''32/25''
| 32/25
|
|  
|
|  
|  
|  
|-
|-
| 154  
| 154  
| 428.770
| 428.770
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 155  
| 155  
| 431.555
| 431.555
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 156  
| 156  
| 434.339
| 434.339
|
|  
|
|  
| ''9/7''
| 9/7
|
|  
|  
|  
|-
|-
| 157  
| 157  
| 437.123
| 437.123
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 158  
| 158  
| 439.907
| 439.907
|
|  
|
|  
|
|  
| 165/128
| 165/128
|  
|  
Line 1,279: Line 1,289:
| 159  
| 159  
| 442.691
| 442.691
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 160  
| 160  
| 445.476
| 445.476
|
|  
|
|  
| ''128/99''
| 128/99
|
|  
|  
|  
|-
|-
| 161  
| 161  
| 448.260
| 448.260
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 162  
| 162  
| 451.044
| 451.044
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 163  
| 163  
| 453.828
| 453.828
|
|  
|
|  
|
|  
|
|  
| 13/10
| 13/10
|-
|-
| 164  
| 164  
| 456.613
| 456.613
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 165  
| 165  
| 459.397
| 459.397
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 166  
| 166  
| 462.181
| 462.181
|
|  
|
|  
| 64/49
| 64/49
|
|  
|  
|  
|-
|-
| 167  
| 167  
| 464.965
| 464.965
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 168  
| 168  
| 467.749
| 467.749
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 169  
| 169  
| 470.534
| 470.534
|
|  
|
|  
| 21/16
| 21/16
|
|  
|  
|  
|-
|-
| 170  
| 170  
| 473.318
| 473.318
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 171  
| 171  
| 476.102
| 476.102
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 172  
| 172  
| 478.886
| 478.886
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 173  
| 173  
| 481.671
| 481.671
|
|  
|
|  
|
|  
|
|  
| 169/128
| 169/128
|-
|-
| 174  
| 174  
| 484.455
| 484.455
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 175  
| 175  
| 487.239
| 487.239
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 176  
| 176  
| 490.023
| 490.023
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 177  
| 177  
| 492.807
| 492.807
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 178  
| 178  
| 495.592
| 495.592
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
Line 1,441: Line 1,451:
| P4
| P4
| '''4/3'''
| '''4/3'''
|
|  
|
|  
|  
|  
|-
|-
| 180  
| 180  
| 501.160
| 501.160
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 181  
| 181  
| 503.944
| 503.944
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 182  
| 182  
| 506.729
| 506.729
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 183  
| 183  
| 509.513
| 509.513
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 184  
| 184  
| 512.297
| 512.297
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 185  
| 185  
| 515.081
| 515.081
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 186  
| 186  
| 517.865
| 517.865
|
|  
|
| ''27/20''
|
|  
|
|  
|  
|  
|-
|-
| 187  
| 187  
| 520.650
| 520.650
|
|  
| ''27/20''
|  
|
|  
|
|  
|  
|  
|-
|-
| 188  
| 188  
| 523.434
| 523.434
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 189  
| 189  
| 526.218
| 526.218
|
|  
|
|  
| ''256/189''
| 256/189
|
|  
|  
|  
|-
|-
| 190  
| 190  
| 529.002
| 529.002
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 191  
| 191  
| 531.787
| 531.787
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 192  
| 192  
| 534.571
| 534.571
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 193  
| 193  
| 537.355
| 537.355
|
|  
|
|  
|
|  
| 15/11
| 15/11
|  
|  
Line 1,559: Line 1,569:
| 194  
| 194  
| 540.139
| 540.139
| 
| ''175/128''
| 
| 
|  
|  
|-
|
|
|
|
|-
| 195  
| 195  
| 542.923
| 542.923
|
|  
|
| ''175/128''
|
|  
|
|  
|  
|  
|-
|-
| 196  
| 196  
| 545.708
| 545.708
|
|  
|
|  
| ''48/35''
| 48/35
|
|  
|  
|  
|-
|-
| 197  
| 197  
| 548.492
| 548.492
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 198  
| 198  
| 551.276
| 551.276
|
|  
|
|  
|
|  
| '''11/8'''
| '''11/8'''
|  
|  
Line 1,599: Line 1,609:
| 199  
| 199  
| 554.060
| 554.060
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 200  
| 200  
| 556.845
| 556.845
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 201  
| 201  
| 559.629
| 559.629
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 202  
| 202  
| 562.413
| 562.413
|
|  
|
|  
|
|  
|
|  
| ''18/13''
| 18/13
|-
|-
| 203  
| 203  
| 565.197
| 565.197
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 204  
| 204  
| 567.981
| 567.981
|
|  
| ''25/18''
|  
|
|  
|
|  
|  
|  
|-
|-
| 205  
| 205  
| 570.766
| 570.766
|
|  
|
| ''25/18''
|
|  
|
|  
|  
|  
|-
|-
| 206  
| 206  
| 573.550
| 573.550
|
|  
|
|  
|
|  
|
|  
| 39/28
| 39/28
|-
|-
| 207  
| 207  
| 576.334
| 576.334
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 208  
| 208  
| 579.118
| 579.118
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 209  
| 209  
| 581.903
| 581.903
|
|  
|
|  
| 7/5
| 7/5
|
|  
|  
|  
|-
|-
| 210  
| 210  
| 584.687
| 584.687
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 211  
| 211  
| 587.471
| 587.471
| 
| 
| 
| 
|  
|  
|-
|
|
|
|
|-
| 212  
| 212  
| 590.255
| 590.255
| d5
| d5
| 45/32
| 45/32
|
|  
|
|  
|  
|  
|-
|-
| 213  
| 213  
| 593.039
| 593.039
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 214  
| 214  
| 595.824
| 595.824
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 215  
| 215  
| 598.608
| 598.608
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 216  
| 216  
| 601.392
| 601.392
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 217  
| 217  
| 604.176
| 604.176
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 218  
| 218  
| 606.961
| 606.961
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
Line 1,761: Line 1,771:
| A4
| A4
| 64/45
| 64/45
|
|  
|
|  
|  
|  
|-
|-
| 220  
| 220  
| 612.529
| 612.529
| 
| 
| 
| 
|  
|  
|-
|
|
|
|
|-
| 221  
| 221  
| 615.313
| 615.313
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 222  
| 222  
| 618.097
| 618.097
|
|  
|
|  
| 10/7
| 10/7
|
|  
|  
|  
|-
|-
| 223  
| 223  
| 620.882
| 620.882
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 224  
| 224  
| 623.666
| 623.666
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 225  
| 225  
| 626.450
| 626.450
|
|  
|
|  
|
|  
|
|  
| 56/39
| 56/39
|-
|-
| 226  
| 226  
| 629.234
| 629.234
|
|  
|
| ''36/25''
|
|  
|
|  
|  
|  
|-
|-
| 227  
| 227  
| 632.019
| 632.019
|
|  
| ''36/25''
|  
|
|  
|
|  
|  
|  
|-
|-
| 228  
| 228  
| 634.803
| 634.803
| 
| 
| 
| 
|  
|  
|-
|
|
|
|
|-
| 229  
| 229  
| 637.587
| 637.587
|
|  
|
|  
|
|  
|
|  
| ''13/9''
| 13/9
|-
|-
| 230  
| 230  
| 640.371
| 640.371
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 231  
| 231  
| 643.155
| 643.155
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 232  
| 232  
| 645.940
| 645.940
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 233  
| 233  
| 648.724
| 648.724
|
|  
|
|  
|
|  
| '''16/11'''
| '''16/11'''
|  
|  
Line 1,879: Line 1,889:
| 234  
| 234  
| 651.508
| 651.508
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 235  
| 235  
| 654.292
| 654.292
|
|  
|
|  
| ''35/24''
| ''35/24''
|
|  
|  
|  
|-
|-
| 236  
| 236  
| 657.077
| 657.077
|
|  
|
|  
|
| ''256/175''
|
|  
|  
|  
|-
|-
| 237  
| 237  
| 659.861
| 659.861
|
|  
|
|  
| ''256/175''
|  
|
|  
|  
|  
|-
|-
| 238  
| 238  
| 662.645
| 662.645
|
|  
|
|  
|
|  
| 22/15
| 22/15
|  
|  
Line 1,919: Line 1,929:
| 239  
| 239  
| 665.429
| 665.429
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 240  
| 240  
| 668.213
| 668.213
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 241  
| 241  
| 671.000
| 671.000
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 242  
| 242  
| 673.782
| 673.782
|
|  
|
|  
|
|  
| ''189/128''
| 189/128
|  
|  
|-
|-
| 243  
| 243  
| 676.566
| 676.566
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 244  
| 244  
| 679.350
| 679.350
|
|  
| ''40/27''
|  
|
|  
|
|  
|  
|  
|-
|-
| 245  
| 245  
| 682.135
| 682.135
| 
| 
| 
| 
|  
|  
|-
| ''40/27''
|
|
|
|-
| 246  
| 246  
| 684.919
| 684.919
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 247  
| 247  
| 687.703
| 687.703
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 248  
| 248  
| 690.487
| 690.487
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 249  
| 249  
| 693.271
| 693.271
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 250  
| 250  
| 696.056
| 696.056
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 251  
| 251  
| 698.840
| 698.840
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
Line 2,025: Line 2,035:
| P5
| P5
| '''3/2'''
| '''3/2'''
|
|  
|
|  
|  
|  
|-
|-
| 253  
| 253  
| 704.408
| 704.408
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 254  
| 254  
| 707.193
| 707.193
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 255  
| 255  
| 709.977
| 709.977
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 256  
| 256  
| 712.761
| 712.761
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 257  
| 257  
| 715.545
| 715.545
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 258  
| 258  
| 718.329
| 718.329
|
|  
|
|  
|
|  
|
|  
| 256/169
| 256/169
|-
|-
| 259  
| 259  
| 721.114
| 721.114
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 260  
| 260  
| 723.898
| 723.898
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 261  
| 261  
| 726.682
| 726.682
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 262  
| 262  
| 729.466
| 729.466
|
|  
|
|  
| 32/21
| 32/21
|
|  
|  
|  
|-
|-
| 263  
| 263  
| 732.251
| 732.251
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 264  
| 264  
| 735.035
| 735.035
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 265  
| 265  
| 737.819
| 737.819
|
|  
|
|  
| 49/32
| 49/32
|
|  
|  
|  
|-
|-
| 266  
| 266  
| 740.603
| 740.603
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 267  
| 267  
| 743.387
| 743.387
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 268  
| 268  
| 746.172
| 746.172
|
|  
|
|  
|
|  
|
|  
| 20/13
| 20/13
|-
|-
| 269  
| 269  
| 748.956
| 748.956
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 270  
| 270  
| 751.740
| 751.740
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 271  
| 271  
| 754.524
| 754.524
| 
| 
| 
| ''99/64''
|  
|  
|-
|
|
| 99/64
|
|-
| 272  
| 272  
| 757.309
| 757.309
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 273  
| 273  
| 760.093
| 760.093
|
|  
|
|  
|
|  
| 265/165
| 256/165
|  
|  
|-
|-
| 274  
| 274  
| 762.877
| 762.877
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 275  
| 275  
| 765.661
| 765.661
|
|  
|
|  
| ''14/9''
| 14/9
|
|  
|  
|  
|-
|-
| 276  
| 276  
| 768.445
| 768.445
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 277  
| 277  
| 771.230
| 771.230
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 278  
| 278  
| 774.014
| 774.014
|
|  
| ''25/16''
| 25/16
|
|  
|
|  
|  
|  
|-
|-
| 279  
| 279  
| 776.798
| 776.798
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 280  
| 280  
| 779.582
| 779.582
| 
| 
| 
| 
|  
|  
|-
|
|
|
|
|-
| 281  
| 281  
| 782.367
| 782.367
|
|  
|
|  
|
|  
| 11/7
| 11/7
|  
|  
Line 2,263: Line 2,273:
| 282  
| 282  
| 785.151
| 785.151
|
|  
|
|  
| ''63/40''
| 63/40
|
|  
|  
|  
|-
|-
| 283  
| 283  
| 787.935
| 787.935
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 284  
| 284  
| 790.719
| 790.719
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
Line 2,289: Line 2,299:
| m6
| m6
| ''128/81''
| ''128/81''
|
|  
|
|  
|  
|  
|-
|-
| 286  
| 286  
| 796.288
| 796.288
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 287  
| 287  
| 799.072
| 799.072
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 288  
| 288  
| 801.856
| 801.856
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 289  
| 289  
| 804.640
| 804.640
| 
| 
| 
| 
|  
|  
|-
|
|
|
|
|-
| 290  
| 290  
| 807.425
| 807.425
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 291  
| 291  
| 810.209
| 810.209
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 292  
| 292  
| 812.993
| 812.993
|
|  
| '''8/5'''
| '''8/5'''
|
|  
|
|  
|  
|  
|-
|-
| 293  
| 293  
| 815.777
| 815.777
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 294  
| 294  
| 818.561
| 818.561
|
|  
|
|  
|
|  
| 77/48
| 77/48
|  
|  
Line 2,367: Line 2,377:
| 295  
| 295  
| 821.346
| 821.346
|
|  
| 45/28
| 45/28
|
|  
|
|  
|  
|  
|-
|-
| 296  
| 296  
| 824.130
| 824.130
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 297  
| 297  
| 826.914
| 826.914
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 298  
| 298  
| 829.698
| 829.698
|
|  
|
|  
|
|  
|
|  
| 21/13
| 21/13
|-
|-
| 299  
| 299  
| 832.483
| 832.483
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 300  
| 300  
| 835.267
| 835.267
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 301  
| 301  
| 838.051
| 838.051
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 302  
| 302  
| 840.835
| 840.835
|
|  
|
|  
| 512/315
| 512/315
|
|  
| '''13/8'''
| '''13/8'''
|-
|-
| 303  
| 303  
| 843.619
| 843.619
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 304  
| 304  
| 846.404
| 846.404
|
|  
|
|  
|
|  
| ''44/27''
| 44/27
|  
|  
|-
|-
| 305  
| 305  
| 849.188
| 849.188
|
|  
|
|  
| 80/49
| 80/49
|
|  
|  
|  
|-
|-
| 306  
| 306  
| 851.972
| 851.972
|
|  
|
|  
|
|  
| 18/11
| 18/11
|  
|  
Line 2,463: Line 2,473:
| 307  
| 307  
| 854.756
| 854.756
| 
| 
| 
| 
|  
|  
|-
|
|
|
|
|-
| 308  
| 308  
| 857.541
| 857.541
|
|  
|
|  
|
|  
|
|  
| 64/39
| 64/39
|-
|-
| 309  
| 309  
| 860.325
| 860.325
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 310  
| 310  
| 863.109
| 863.109
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 311  
| 311  
| 865.893
| 865.893
|
|  
|
|  
|
|  
| ''33/20''
| 33/20
|  
|  
|-
|-
| 312  
| 312  
| 868.677
| 868.677
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 313  
| 313  
| 871.462
| 871.462
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 314  
| 314  
| 874.246
| 874.246
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 315  
| 315  
| 877.030
| 877.030
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 316  
| 316  
| 879.814
| 879.814
|
|  
|
|  
|
|  
| ''128/77''
| 128/77
|  
|  
|-
|-
| 317  
| 317  
| 882.599
| 882.599
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 318  
| 318  
| 885.383
| 885.383
|
|  
| ''5/3''
| 5/3
|
|  
|
|  
|  
|  
|-
|-
| 319  
| 319  
| 888.167
| 888.167
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 320  
| 320  
| 890.951
| 890.951
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 321  
| 321  
| 893.735
| 893.735
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 322  
| 322  
| 896.520
| 896.520
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 323  
| 323  
| 899.304
| 899.304
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 324  
| 324  
| 902.088
| 902.088
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
Line 2,608: Line 2,618:
| 904.872
| 904.872
| M6
| M6
| ''27/16''
| 27/16
|
|  
|
|  
|  
|  
|-
|-
| 326  
| 326  
| 907.657
| 907.657
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 327  
| 327  
| 910.441
| 910.441
|
|  
|
|  
|
|  
|
|  
| 22/13
| 22/13
|-
|-
| 328  
| 328  
| 913.225
| 913.225
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 329  
| 329  
| 916.009
| 916.009
|
|  
|
|  
|
|  
| 56/33
| 56/33
|  
|  
Line 2,647: Line 2,657:
| 330  
| 330  
| 918.794
| 918.794
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 331  
| 331  
| 921.578
| 921.578
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 332  
| 332  
| 924.362
| 924.362
|
|  
| ''128/75''
| 128/75
|
|  
|
|  
|  
|  
|-
|-
| 333  
| 333  
| 927.146
| 927.146
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 334  
| 334  
| 929.930
| 929.930
| 
| 
| 
| 
|  
|  
|-
|
|
|
|
|-
| 335  
| 335  
| 932.715
| 932.715
|
|  
|
|  
| 12/7
| 12/7
|
|  
|  
|  
|-
|-
| 336  
| 336  
| 935.499
| 935.499
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 337  
| 337  
| 938.283
| 938.283
|
|  
|
|  
|
|  
| 55/32
| 55/32
|  
|  
Line 2,711: Line 2,721:
| 338  
| 338  
| 941.067
| 941.067
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 339  
| 339  
| 943.852
| 943.852
|
|  
|
|  
|
|  
| ''512/297''
| 512/297
|  
|  
|-
|-
| 340  
| 340  
| 946.636
| 946.636
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 341  
| 341  
| 949.420
| 949.420
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 342  
| 342  
| 952.204
| 952.204
|
|  
|
|  
|
|  
|
|  
| 26/15
| 26/15
|-
|-
| 343  
| 343  
| 954.988
| 954.988
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 344  
| 344  
| 957.773
| 957.773
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 345  
| 345  
| 960.557
| 960.557
|
|  
|
|  
| 256/147
| 256/147
|
|  
|  
|  
|-
|-
| 346  
| 346  
| 963.341
| 963.341
|
|  
|
|  
|
|  
| ''96/55''
| 96/55
|  
|  
|-
|-
| 347  
| 347  
| 966.125
| 966.125
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 348  
| 348  
| 968.910
| 968.910
|
|  
|
|  
| '''7/4'''
| '''7/4'''
|
|  
|  
|  
|-
|-
| 349  
| 349  
| 971.694
| 971.694
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 350  
| 350  
| 974.478
| 974.478
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 351  
| 351  
| 977.262
| 977.262
|
|  
| ''225/128''
| 225/128
|
|  
|
| ''44/25''
|  
|  
|-
|-
| 352  
| 352  
| 980.046
| 980.046
| 
| 
| 
| ''44/25''
|  
|  
|-
|
|
|
|
|-
| 353  
| 353  
| 982.831
| 982.831
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 354  
| 354  
| 985.615
| 985.615
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 355  
| 355  
| 988.399
| 988.399
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 356  
| 356  
| 991.183
| 991.183
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 357  
| 357  
| 993.968
| 993.968
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
Line 2,873: Line 2,883:
| m7
| m7
| 16/9
| 16/9
|
|  
|
|  
|  
|  
|-
|-
| 359  
| 359  
| 999.536
| 999.536
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 360  
| 360  
| 1002.320
| 1002.320
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 361  
| 361  
| 1005.104
| 1005.104
|
|  
|
|  
| ''25/14''
| 25/14
|
|  
|  
|  
|-
|-
| 362  
| 362  
| 1007.889
| 1007.889
|
|  
|
|  
|
|  
|
|  
| 256/143
| 256/143
|-
|-
| 363  
| 363  
| 1010.673
| 1010.673
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 364  
| 364  
| 1013.457
| 1013.457
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 365  
| 365  
| 1016.241
| 1016.241
|
|  
| ''9/5''
| 9/5
|
|  
|
|  
|  
|  
|-
|-
| 366  
| 366  
| 1019.026
| 1019.026
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 367  
| 367  
| 1021.810
| 1021.810
|
|  
|
|  
|
|  
| 231/128
| 231/128
|  
|  
Line 2,951: Line 2,961:
| 368  
| 368  
| 1024.594
| 1024.594
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 369  
| 369  
| 1027.378
| 1027.378
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 370  
| 370  
| 1030.162
| 1030.162
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 371  
| 371  
| 1032.947
| 1032.947
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 372  
| 372  
| 1035.731
| 1035.731
|
|  
|
|  
|
|  
| ''20/11''
| 20/11
|  
|  
|-
|-
| 373  
| 373  
| 1038.515
| 1038.515
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 374  
| 374  
| 1041.299
| 1041.299
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 375  
| 375  
| 1044.084
| 1044.084
|
|  
|
|  
| ''64/35''
| ''64/35''
|
|  
| 117/64
| 117/64
|-
|-
| 376  
| 376  
| 1046.868
| 1046.868
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 377  
| 377  
| 1049.652
| 1049.652
|
|  
|
|  
|
|  
| 11/6
| 11/6
|  
|  
Line 3,031: Line 3,041:
| 378  
| 378  
| 1052.436
| 1052.436
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 379  
| 379  
| 1055.220
| 1055.220
| 
| 
| 
| 
|  
|  
|-
|
|
|
|
|-
| 380  
| 380  
| 1058.005
| 1058.005
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 381  
| 381  
| 1060.789
| 1060.789
|
|  
|
|  
|
|  
|
|  
| 24/13
| 24/13
|-
|-
| 382  
| 382  
| 1063.573
| 1063.573
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 383  
| 383  
| 1066.357
| 1066.357
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 384  
| 384  
| 1069.142
| 1069.142
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 385  
| 385  
| 1071.926
| 1071.926
|
|  
|
|  
|
|  
|
|  
| 13/7
| 13/7
|-
|-
| 386  
| 386  
| 1074.710
| 1074.710
|
|  
|
|  
|
|  
| ''512/275''
| 512/275
|  
|  
|-
|-
| 387  
| 387  
| 1077.494
| 1077.494
| 
| 
| 28/15
| 
|  
|  
|-
|
|
|
|
|-
| 388  
| 388  
| 1080.278
| 1080.278
|
|  
|
|  
|
| 28/15
|
|  
|  
|  
|-
|-
| 389  
| 389  
| 1083.063
| 1083.063
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 390  
| 390  
| 1085.847
| 1085.847
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 391  
| 391  
| 1088.631
| 1088.631
|
|  
| 15/8
| 15/8
|
|  
|
|  
| 512/273
| 512/273
|-
|-
| 392  
| 392  
| 1091.415
| 1091.415
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 393  
| 393  
| 1094.200
| 1094.200
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 394  
| 394  
| 1096.984
| 1096.984
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 395  
| 395  
| 1099.768
| 1099.768
| 
| 
| 
| 
|  
|  
|-
|
|
|
|
|-
| 396  
| 396  
| 1102.552
| 1102.552
|
|  
|
|  
|
|  
| 121/64
| 121/64
|  
|  
Line 3,183: Line 3,193:
| 397  
| 397  
| 1105.336
| 1105.336
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
Line 3,192: Line 3,202:
| 1108.121
| 1108.121
| M7
| M7
| 256/135
| ''243/128''
|
|  
|
|  
|  
|  
|-
|-
| 399  
| 399  
| 1110.905
| 1110.905
|
|  
| ''243/128''
|  
|
|  
|
|  
|  
|  
|-
|-
| 400  
| 400  
| 1113.689
| 1113.689
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 401  
| 401  
| 1116.473
| 1116.473
|
|  
|
|  
| ''40/21''
| 40/21
|
|  
|  
|  
|-
|-
| 402  
| 402  
| 1119.258
| 1119.258
|
|  
|
|  
|
|  
| 21/11
| 21/11
|  
|  
Line 3,231: Line 3,241:
| 403  
| 403  
| 1122.042
| 1122.042
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 404  
| 404  
| 1124.826
| 1124.826
| 
| 
| ''245/128''
| 
|  
|  
|-
|
| 245/128
|
|
|-
| 405  
| 405  
| 1127.610
| 1127.610
|
|  
|
| ''48/25''
|
|  
|
|  
|  
|  
|-
|-
| 406  
| 406  
| 1130.394
| 1130.394
|
|  
| ''48/25''
|  
|
|  
|
|  
|  
|  
|-
|-
| 407  
| 407  
| 1133.179
| 1133.179
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 408  
| 408  
| 1135.963
| 1135.963
|
|  
|
|  
| ''27/14''
| 27/14
|
|  
|  
|  
|-
|-
| 409  
| 409  
| 1138.747
| 1138.747
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 410  
| 410  
| 1141.531
| 1141.531
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 411  
| 411  
| 1144.316
| 1144.316
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 412  
| 412  
| 1147.100
| 1147.100
|
|  
|
|  
|
|  
| 64/33
| 64/33
|  
|  
Line 3,311: Line 3,321:
| 413  
| 413  
| 1149.884
| 1149.884
|
|  
|
|  
| ''35/18''
|  
|
|  
|  
|  
|-
|-
| 414  
| 414  
| 1152.668
| 1152.668
|
|  
|
|  
|
| ''35/18''
|
|  
|  
|  
|-
|-
| 415  
| 415  
| 1155.452
| 1155.452
|
|  
|
|  
|
|  
|
|  
| ''39/20''
| 39/20
|-
|-
| 416  
| 416  
| 1158.237
| 1158.237
|
|  
| ''125/64''
|  
|
|  
|
|  
|  
|  
|-
|-
| 417  
| 417  
| 1161.021
| 1161.021
|
|  
|
| ''125/64''
|
|  
|
|  
|  
|  
|-
|-
| 418  
| 418  
| 1163.805
| 1163.805
|
|  
|
|  
| 96/49
| 96/49
|
|  
|  
|  
|-
|-
| 419  
| 419  
| 1166.589
| 1166.589
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 420  
| 420  
| 1169.374
| 1169.374
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 421  
| 421  
| 1172.158
| 1172.158
|
|  
|
|  
| 63/32
| 63/32
|
|  
|  
|  
|-
|-
| 422  
| 422  
| 1174.942
| 1174.942
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 423  
| 423  
| 1177.726
| 1177.726
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 424  
| 424  
| 1180.510
| 1180.510
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 425  
| 425  
| 1183.295
| 1183.295
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 426  
| 426  
| 1186.079
| 1186.079
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 427  
| 427  
| 1188.863
| 1188.863
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 428  
| 428  
| 1191.647
| 1191.647
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 429  
| 429  
| 1194.432
| 1194.432
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
| 430  
| 430  
| 1197.216
| 1197.216
|
|  
|
|  
|
|  
|
|  
|  
|  
|-
|-
Line 3,456: Line 3,466:
| 1200.000
| 1200.000
| P8
| P8
| colspan="4" | '''2/1'''
| '''2/1'''
|
|
|
|}
|}
[[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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