Table of 198edo intervals: Difference between revisions

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Work in progress, more to come :)
 
4 decimal places should be enough
Line 5: Line 5:
Intervals highlighted in '''bold''' are prime harmonics or subharmonics. Intervals that differ from their assigned steps by more than 50% or intervals with odd limit over 729 are not shown. Note that no 7-limit interval can be represented by odd degrees, so those entries are left blank.  
Intervals highlighted in '''bold''' are prime harmonics or subharmonics. Intervals that differ from their assigned steps by more than 50% or intervals with odd limit over 729 are not shown. Note that no 7-limit interval can be represented by odd degrees, so those entries are left blank.  


{| class="wikitable center-1"
{| class="wikitable center-1 right-2"
|-
|-
! #
! #
Line 15: Line 15:
|-
|-
| 0
| 0
| 0
| 0.0000
| colspan="4"| '''[[1/1]]'''
| colspan="4"| '''[[1/1]]'''
|-
|-
| 1
| 1
| 6.060606
| 6.0606
|  
|  
|  
|  
Line 26: Line 26:
|-
|-
| 2
| 2
| 12.121212
| 12.1212
| ?
| ?
| [[126/125]], [[245/243]]
| [[126/125]], [[245/243]]
Line 33: Line 33:
|-
|-
| 3
| 3
| 18.181818
| 18.1818
|  
|  
|  
|  
Line 40: Line 40:
|-
|-
| 4
| 4
| 24.242424
| 24.2424
| [[81/80]]
| [[81/80]]
| [[64/63]]
| [[64/63]]
Line 47: Line 47:
|-
|-
| 5
| 5
| 30.303030
| 30.3030
|  
|  
|  
|  
Line 54: Line 54:
|-
|-
| 6
| 6
| 36.363636
| 36.3636
| ?
| ?
| [[49/48]], [[50/49]]
| [[49/48]], [[50/49]]
Line 61: Line 61:
|-
|-
| 7
| 7
| 42.424242
| 42.4242
|  
|  
|  
|  
Line 68: Line 68:
|-
|-
| 8
| 8
| 48.484848
| 48.4848
| ?
| ?
| [[36/35]]
| [[36/35]]
Line 75: Line 75:
|-
|-
| 9
| 9
| 54.545455
| 54.5455
|  
|  
|  
|  
Line 82: Line 82:
|-
|-
| 10
| 10
| 60.606061
| 60.6061
| ?
| ?
| [[28/27]]
| [[28/27]]
Line 89: Line 89:
|-
|-
| 11
| 11
| 66.666667
| 66.6667
|  
|  
|  
|  
Line 96: Line 96:
|-
|-
| 12
| 12
| 72.727273
| 72.7273
| [[25/24]]
| [[25/24]]
| ?
| ?
Line 103: Line 103:
|-
|-
| 13
| 13
| 78.787879
| 78.7879
|  
|  
|  
|  
Line 110: Line 110:
|-
|-
| 14
| 14
| 84.848485
| 84.8485
| ?
| ?
| [[21/20]]
| [[21/20]]
Line 117: Line 117:
|-
|-
| 15
| 15
| 90.909091
| 90.9091
|  
|  
|  
|  
Line 124: Line 124:
|-
|-
| 16
| 16
| 96.969697
| 96.9697
| ?
| ?
| [[200/189]]
| [[200/189]]
Line 131: Line 131:
|-
|-
| 17
| 17
| 103.030303
| 103.0303
|  
|  
|  
|  
Line 138: Line 138:
|-
|-
| 18
| 18
| 109.090909
| 109.0909
| [[16/15]]
| [[16/15]]
| ?
| ?
Line 145: Line 145:
|-
|-
| 19
| 19
| 115.151515
| 115.1515
|  
|  
|  
|  
Line 152: Line 152:
|-
|-
| 20
| 20
| 121.212121
| 121.2121
| ?
| ?
| [[15/14]]
| [[15/14]]
Line 159: Line 159:
|-
|-
| 21
| 21
| 127.272727
| 127.2727
|  
|  
|  
|  
Line 166: Line 166:
|-
|-
| 22
| 22
| 133.333333
| 133.3333
| [[27/25]]
| [[27/25]]
| [[175/162]]
| [[175/162]]
Line 173: Line 173:
|-
|-
| 23
| 23
| 139.393939
| 139.3939
|  
|  
|  
|  
Line 180: Line 180:
|-
|-
| 24
| 24
| 145.454545
| 145.4545
| ?
| ?
| [[49/45]], [[160/147]]
| [[49/45]], [[160/147]]
Line 187: Line 187:
|-
|-
| 25
| 25
| 151.515152
| 151.5152
|  
|  
|  
|  
Line 194: Line 194:
|-
|-
| 26
| 26
| 157.575758
| 157.5758
| ?
| ?
| [[35/32]]
| [[35/32]]
Line 201: Line 201:
|-
|-
| 27
| 27
| 163.636364
| 163.6364
|  
|  
|  
|  
Line 208: Line 208:
|-
|-
| 28
| 28
| 169.696970
| 169.6970
| ?
| ?
| [[54/49]]
| [[54/49]]
Line 215: Line 215:
|-
|-
| 29
| 29
| 175.757576
| 175.7576
|  
|  
|  
|  
Line 222: Line 222:
|-
|-
| 30
| 30
| 181.818182
| 181.8182
| [[10/9]]
| [[10/9]]
| ?
| ?
Line 229: Line 229:
|-
|-
| 31
| 31
| 187.878788
| 187.8788
|  
|  
|  
|  
Line 236: Line 236:
|-
|-
| 32
| 32
| 193.939394
| 193.9394
|  
| ?
| [[28/25]]
| [[28/25]]
| [[121/108]]
| [[121/108]]
Line 243: Line 243:
|-
|-
| 33
| 33
| 200.000000
| 200.0000
|  
|  
|  
|  
Line 250: Line 250:
|-
|-
| 34
| 34
| 206.060606
| 206.0606
| [[9/8]]
| [[9/8]]
| ?
| ?
Line 257: Line 257:
|-
|-
| 35
| 35
| 212.121212
| 212.1212
|  
|  
|  
|  
Line 264: Line 264:
|-
|-
| 36
| 36
| 218.181818
| 218.1818
| ?
| ?
| ?
| ?
Line 271: Line 271:
|-
|-
| 37
| 37
| 224.242424
| 224.2424
|  
|  
|  
|  
Line 278: Line 278:
|-
|-
| 38
| 38
| 230.303030
| 230.3030
| ?
| ?
| '''[[8/7]]'''
| '''[[8/7]]'''
Line 285: Line 285:
|-
|-
| 39
| 39
| 236.363636
| 236.3636
|  
|  
|  
|  
Line 292: Line 292:
|-  
|-  
| 40
| 40
| 242.424242
| 242.4242
| ?
| ?
| [[280/243]]
| [[280/243]]
Line 299: Line 299:
|-
|-
| 41
| 41
| 248.484848
| 248.4848
|  
|  
|  
|  
Line 306: Line 306:
|-
|-
| 42
| 42
| 254.545455
| 254.5455
| ?
| ?
| [[81/70]]
| [[81/70]]
Line 313: Line 313:
|-
|-
| 43
| 43
| 260.606061
| 260.6061
|  
|  
|  
|  
Line 320: Line 320:
|-
|-
| 44
| 44
| 266.666667
| 266.6667
| ?
| ?
| [[7/6]]
| [[7/6]]
Line 327: Line 327:
|-
|-
| 45
| 45
| 272.727273
| 272.7273
|  
|  
|  
|  
Line 334: Line 334:
|-
|-
| 46
| 46
| 278.787879
| 278.7879
| ?
| ?
| ?
| ?
Line 341: Line 341:
|-
|-
| 47
| 47
| 284.848485
| 284.8485
|  
|  
|  
|  
Line 348: Line 348:
|-
|-
| 48
| 48
| 290.909091
| 290.9091
| ?
| ?
| [[189/160]]
| [[189/160]]
Line 355: Line 355:
|-
|-
| 49
| 49
| 296.969697
| 296.9697
|  
|  
|  
|  
Line 362: Line 362:
|-
|-
| 50
| 50
| 303.030303
| 303.0303
| ?
| ?
| [[25/21]]
| [[25/21]]
Line 369: Line 369:
|-
|-
| 51
| 51
| 309.090909
| 309.0909
|  
|  
|  
|  
Line 376: Line 376:
|-
|-
| 52
| 52
| 315.151515
| 315.1515
| [[6/5]]
| [[6/5]]
| ?
| ?
Line 383: Line 383:
|-
|-
| 53
| 53
| 321.212121
| 321.2121
|  
|  
|  
|  
Line 390: Line 390:
|-
|-
| 54
| 54
| 327.272727
| 327.2727
| ?
| ?
| ?
| ?
Line 397: Line 397:
|-
|-
| 55
| 55
| 333.333333
| 333.3333
|  
|  
|  
|  
Line 404: Line 404:
|-
|-
| 56
| 56
| 339.393939
| 339.3939
| ?
| ?
| ?
| ?
Line 411: Line 411:
|-
|-
| 57
| 57
| 345.454545
| 345.4545
|  
|  
|  
|  
Line 418: Line 418:
|-
|-
| 58
| 58
| 351.515152
| 351.5152
| ?
| ?
| [[49/40]], [[60/49]]
| [[49/40]], [[60/49]]
Line 425: Line 425:
|-
|-
| 59
| 59
| 357.575757
| 357.5757
|  
|  
|  
|  
Line 432: Line 432:
|-
|-
| 60
| 60
| 363.636364
| 363.6364
| ?
| ?
| ?
| ?
Line 439: Line 439:
|-
|-
| 61
| 61
| 369.696970
| 369.6970
|  
|  
|  
|  
Line 446: Line 446:
|-
|-
| 62
| 62
| 375.757576
| 375.7576
| ?
| ?
| ?
| ?
Line 453: Line 453:
|-
|-
| 63
| 63
| 381.818182
| 381.8182
|  
|  
|  
|  
Line 460: Line 460:
|-
|-
| 64
| 64
| 387.878788
| 387.8788
| '''[[5/4]]'''
| '''[[5/4]]'''
| ?
| ?
Line 467: Line 467:
|-
|-
| 65
| 65
| 393.939394
| 393.9394
|  
|  
|  
|  
Line 474: Line 474:
|-
|-
| 66
| 66
| 400.000000
| 400.0000
| ?
| ?
| [[63/50]]
| [[63/50]]
Line 481: Line 481:
|-
|-
| 67
| 67
| 406.060606
| 406.0606
|  
|  
|  
|  
Line 488: Line 488:
|-
|-
| 68
| 68
| 412.121212
| 412.1212
| ?
| ?
| [[80/63]]
| [[80/63]]
Line 495: Line 495:
|-
|-
| 69
| 69
| 418.181818
| 418.1818
|  
|  
|  
|  
Line 502: Line 502:
|-
|-
| 70
| 70
| 424.242424
| 424.2424
| ?
| ?
| ?
| ?
Line 509: Line 509:
|-
|-
| 71
| 71
| 430.303030
| 430.3030
|  
|  
|  
|  
Line 516: Line 516:
|-
|-
| 72
| 72
| 436.363636
| 436.3636
| ?
| ?
| [[9/7]]
| [[9/7]]
Line 523: Line 523:
|-
|-
| 73
| 73
| 442.424242
| 442.4242
|  
|  
|  
|  
Line 530: Line 530:
|-
|-
| 74
| 74
| 448.484848
| 448.4848
| ?
| ?
| [[35/27]]
| [[35/27]]
Line 537: Line 537:
|-
|-
| 75
| 75
| 454.545455
| 454.5455
|  
|  
|  
|  
Line 544: Line 544:
|-
|-
| 76
| 76
| 460.606061
| 460.6061
| ?
| ?
| ?
| ?
Line 551: Line 551:
|-
|-
| 77
| 77
| 466.666667
| 466.6667
|  
|  
|  
|  
Line 558: Line 558:
|-
|-
| 78
| 78
| 472.727273
| 472.7273
| ?
| ?
| [[21/16]]
| [[21/16]]
Line 565: Line 565:
|-
|-
| 79
| 79
| 478.787879
| 478.7879
|  
|  
|  
|  
Line 572: Line 572:
|-
|-
| 80
| 80
| 484.848485
| 484.8485
| ?
| ?
| ?
| ?
Line 579: Line 579:
|-
|-
| 81
| 81
| 490.909091
| 490.9091
|  
|  
|  
|  
Line 586: Line 586:
|-
|-
| 82
| 82
| 496.969697
| 496.9697
| '''[[4/3]]'''
| '''[[4/3]]'''
| ?
| ?
Line 593: Line 593:
|-
|-
| 83
| 83
| 503.030303
| 503.0303
|  
|  
|  
|  
Line 600: Line 600:
|-
|-
| 84
| 84
| 509.090909
| 509.0909
| ?
| ?
| ?
| ?
Line 607: Line 607:
|-
|-
| 85
| 85
| 515.151515
| 515.1515
|  
|  
|  
|  
Line 614: Line 614:
|-
|-
| 86
| 86
| 521.212121
| 521.2121
| [[27/20]]
| [[27/20]]
| ?
| ?
Line 621: Line 621:
|-
|-
| 87
| 87
| 527.272727
| 527.2727
|  
|  
|  
|  
Line 628: Line 628:
|-
|-
| 88
| 88
| 533.333333
| 533.3333
| ?
| ?
| [[49/36]]
| [[49/36]]
Line 635: Line 635:
|-
|-
| 89
| 89
| 539.393939
| 539.3939
|  
|  
|  
|  
Line 642: Line 642:
|-
|-
| 90
| 90
| 545.454545
| 545.4545
| ?
| ?
| [[48/35]]
| [[48/35]]
Line 649: Line 649:
|-
|-
| 91
| 91
| 551.515152
| 551.5152
|  
|  
|  
|  
Line 656: Line 656:
|-
|-
| 92
| 92
| 557.575758
| 557.5758
| ?
| ?
| [[441/320]]
| [[441/320]]
Line 663: Line 663:
|-
|-
| 93
| 93
| 563.636364
| 563.6364
|  
|  
|  
|  
Line 670: Line 670:
|-
|-
| 94
| 94
| 569.696970
| 569.6970
| [[25/18]]
| [[25/18]]
| ?
| ?
Line 677: Line 677:
|-
|-
| 95
| 95
| 575.757576
| 575.7576
|  
|  
|  
|  
Line 684: Line 684:
|-
|-
| 96
| 96
| 581.818182
| 581.8182
| ?
| ?
| [[7/5]]
| [[7/5]]
Line 691: Line 691:
|-
|-
| 97
| 97
| 587.878788
| 587.8788
|  
|  
|  
|  
Line 698: Line 698:
|-
|-
| 98
| 98
| 593.939394
| 593.9394
| ?
| ?
| ?
| ?
Line 705: Line 705:
|-
|-
| 99
| 99
| 600.000000
| 600.0000
|  
|  
|  
|  
Line 712: Line 712:
|-
|-
| 100
| 100
| 606.060606
| 606.0606
| ?
| ?
| ?
| ?
Line 719: Line 719:
|-
|-
| 101
| 101
| 612.121212
| 612.1212
|  
|  
|  
|  
Line 726: Line 726:
|-
|-
| 102
| 102
| 618.181818
| 618.1818
| ?
| ?
| [[10/7]]
| [[10/7]]
Line 733: Line 733:
|-
|-
| 103
| 103
| 624.242424
| 624.2424
|  
|  
|  
|  
Line 740: Line 740:
|-
|-
| 104
| 104
| 630.303030
| 630.3030
| [[36/25]]
| [[36/25]]
| ?
| ?
Line 747: Line 747:
|-
|-
| 105
| 105
| 636.363636
| 636.3636
|  
|  
|  
|  
Line 754: Line 754:
|-
|-
| 106
| 106
| 642.424242
| 642.4242
| ?
| ?
| ?
| ?
Line 761: Line 761:
|-
|-
| 107
| 107
| 648.484848
| 648.4848
|  
|  
|  
|  
Line 768: Line 768:
|-
|-
| 108
| 108
| 654.545455
| 654.5455
| ?
| ?
| [[640/441]]
| [[640/441]]
Line 775: Line 775:
|-
|-
| 109
| 109
| 660.606061
| 660.6061
|  
|  
|  
|  
Line 782: Line 782:
|-
|-
| 110
| 110
| 666.666667
| 666.6667
| ?
| ?
| ?
| ?
Line 789: Line 789:
|-
|-
| 111
| 111
| 672.727273
| 672.7273
|  
|  
|  
|  
Line 796: Line 796:
|-
|-
| 112
| 112
| 678.787879
| 678.7879
| [[40/27]]
| [[40/27]]
| ?
| ?
Line 803: Line 803:
|-
|-
| 113
| 113
| 684.848485
| 684.8485
|  
|  
|  
|  
Line 810: Line 810:
|-
|-
| 114
| 114
| 690.909091
| 690.9091
| ?
| ?
| ?
| ?
Line 817: Line 817:
|-
|-
| 115
| 115
| 696.969697
| 696.9697
|  
|  
|  
|  
Line 824: Line 824:
|-
|-
| 116
| 116
| 703.030303
| 703.0303
| [[3/2]]
| [[3/2]]
| ?
| ?
Line 831: Line 831:
|-
|-
| 117
| 117
| 709.090909
| 709.0909
|  
|  
|  
|  
Line 838: Line 838:
|-
|-
| 118
| 118
| 715.151515
| 715.1515
| ?
| ?
| ?
| ?
Line 845: Line 845:
|-
|-
| 119
| 119
| 721.212121
| 721.2121
|  
|  
|  
|  
Line 852: Line 852:
|-
|-
| 120
| 120
| 727.272727
| 727.2727
|  
|  
| [[32/21]]
| [[32/21]]
Line 859: Line 859:
|-
|-
| 121
| 121
| 733.333333
| 733.3333
|  
|  
|  
|  
Line 866: Line 866:
|-
|-
| 122
| 122
| 739.393939
| 739.3939
| ?
| ?
| ?
| ?
Line 873: Line 873:
|-
|-
| 123
| 123
| 745.454545
| 745.4545
|  
|  
|  
|  
Line 880: Line 880:
|-
|-
| 124
| 124
| 751.515152
| 751.5152
| ?
| ?
| [[54/35]]
| [[54/35]]
Line 887: Line 887:
|-
|-
| 125
| 125
| 757.575758
| 757.5758
|  
|  
|  
|  
Line 894: Line 894:
|-
|-
| 126
| 126
| 763.636364
| 763.6364
| ?
| ?
| [[14/9]]
| [[14/9]]
Line 901: Line 901:
|-
|-
| 127
| 127
| 769.696970
| 769.6970
|  
|  
|  
|  
Line 908: Line 908:
|-
|-
| 128
| 128
| 775.757576
| 775.7576
| ?
| ?
| ?
| ?
Line 915: Line 915:
|-
|-
| 129
| 129
| 781.818182
| 781.8182
|  
|  
|  
|  
Line 922: Line 922:
|-
|-
| 130
| 130
| 787.878788
| 787.8788
| ?
| ?
| [[63/40]]
| [[63/40]]
Line 929: Line 929:
|-
|-
| 131
| 131
| 793.939394
| 793.9394
|  
|  
|  
|  
Line 936: Line 936:
|-
|-
| 132
| 132
| 800.000000
| 800.0000
| ?
| ?
| [[100/63]]
| [[100/63]]
Line 943: Line 943:
|-
|-
| 133
| 133
| 806.060606
| 806.0606
|  
|  
|  
|  
Line 950: Line 950:
|-
|-
| 134
| 134
| 812.121212
| 812.1212
| '''[[8/5]]'''
| '''[[8/5]]'''
| ?
| ?
Line 957: Line 957:
|-
|-
| 135
| 135
| 818.181818
| 818.1818
|  
|  
|  
|  
Line 964: Line 964:
|-
|-
| 136
| 136
| 824.242424
| 824.2424
| ?
| ?
| ?
| ?
Line 971: Line 971:
|-
|-
| 137
| 137
| 830.303030
| 830.3030
|  
|  
|  
|  
Line 978: Line 978:
|-
|-
| 138
| 138
| 836.363636
| 836.3636
| ?
| ?
| ?
| ?
Line 985: Line 985:
|-
|-
| 139
| 139
| 842.424242
| 842.4242
|  
|  
|  
|  
Line 992: Line 992:
|-
|-
| 140
| 140
| 848.484848
| 848.4848
| ?
| ?
| [[49/30]], [[80/49]]
| [[49/30]], [[80/49]]
Line 999: Line 999:
|-
|-
| 141
| 141
| 854.545455
| 854.5455
|  
|  
|  
|  
Line 1,006: Line 1,006:
|-
|-
| 142
| 142
| 860.606061
| 860.6061
| ?
| ?
| ?
| ?
Line 1,013: Line 1,013:
|-
|-
| 143
| 143
| 866.666667
| 866.6667
|  
|  
|  
|  
Line 1,020: Line 1,020:
|-
|-
| 144
| 144
| 872.727273
| 872.7273
| ?
| ?
| ?
| ?
Line 1,027: Line 1,027:
|-
|-
| 145
| 145
| 878.787879
| 878.7879
|  
|  
|  
|  
Line 1,034: Line 1,034:
|-
|-
| 146
| 146
| 884.848485
| 884.8485
| [[5/3]]
| [[5/3]]
| ?
| ?
Line 1,041: Line 1,041:
|-
|-
| 147
| 147
| 890.909091
| 890.9091
|  
|  
|  
|  
Line 1,048: Line 1,048:
|-
|-
| 148
| 148
| 896.969697
| 896.9697
| ?
| ?
| [[42/25]]
| [[42/25]]
Line 1,055: Line 1,055:
|-
|-
| 149
| 149
| 903.030303
| 903.0303
|  
|  
|  
|  
Line 1,062: Line 1,062:
|-
|-
| 150
| 150
| 909.090909
| 909.0909
| ?
| ?
| [[320/189]]
| [[320/189]]
Line 1,069: Line 1,069:
|-
|-
| 151
| 151
| 915.151515
| 915.1515
|  
|  
|  
|  
Line 1,076: Line 1,076:
|-
|-
| 152
| 152
| 921.212121
| 921.2121
| ?
| ?
| ?
| ?
Line 1,083: Line 1,083:
|-
|-
| 153
| 153
| 927.272727
| 927.2727
|  
|  
|  
|  
Line 1,090: Line 1,090:
|-
|-
| 154
| 154
| 933.333333
| 933.3333
| ?
| ?
| [[12/7]]
| [[12/7]]
Line 1,097: Line 1,097:
|-
|-
| 155
| 155
| 939.393939
| 939.3939
|  
|  
|  
|  
Line 1,104: Line 1,104:
|-
|-
| 156
| 156
| 945.454545
| 945.4545
| ?
| ?
| [[140/81]]
| [[140/81]]
Line 1,111: Line 1,111:
|-
|-
| 157
| 157
| 951.515152
| 951.5152
|  
|  
|  
|  
Line 1,118: Line 1,118:
|-
|-
| 158
| 158
| 957.575758
| 957.5758
| ?
| ?
| [[243/140]]
| [[243/140]]
Line 1,125: Line 1,125:
|-
|-
| 159
| 159
| 963.636364
| 963.6364
|  
|  
|  
|  
Line 1,132: Line 1,132:
|-
|-
| 160
| 160
| 969.696970
| 969.6970
| ?
| ?
| '''[[7/4]]'''
| '''[[7/4]]'''
Line 1,139: Line 1,139:
|-
|-
| 161
| 161
| 975.757576
| 975.7576
|  
|  
|  
|  
Line 1,146: Line 1,146:
|-
|-
| 162
| 162
| 981.818182
| 981.8182
| ?
| ?
| ?
| ?
Line 1,153: Line 1,153:
|-
|-
| 163
| 163
| 987.878788
| 987.8788
|  
|  
|  
|  
Line 1,160: Line 1,160:
|-
|-
| 164
| 164
| 993.939394
| 993.9394
| [[16/9]]
| [[16/9]]
| ?
| ?
Line 1,167: Line 1,167:
|-
|-
| 165
| 165
| 1000.000000
| 1000.0000
|  
|  
|  
|  
Line 1,174: Line 1,174:
|-
|-
| 166
| 166
| 1006.060606
| 1006.0606
| ?
| ?
| ?
| ?
Line 1,181: Line 1,181:
|-
|-
| 167
| 167
| 1012.121212
| 1012.1212
|  
|  
|  
|  
Line 1,188: Line 1,188:
|-
|-
| 168
| 168
| 1018.181818
| 1018.1818
| [[9/5]]
| [[9/5]]
| ?
| ?
Line 1,195: Line 1,195:
|-
|-
| 169
| 169
| 1024.242424
| 1024.2424
|  
|  
|  
|  
Line 1,202: Line 1,202:
|-
|-
| 170
| 170
| 1030.303030
| 1030.3030
| ?
| ?
| ?
| ?
Line 1,209: Line 1,209:
|-
|-
| 171
| 171
| 1036.363636
| 1036.3636
|  
|  
|  
|  
Line 1,216: Line 1,216:
|-
|-
| 172
| 172
| 1042.424242
| 1042.4242
| ?
| ?
| ?
| ?
Line 1,223: Line 1,223:
|-
|-
| 173
| 173
| 1048.484848
| 1048.4848
|  
|  
|  
|  
Line 1,230: Line 1,230:
|-
|-
| 174
| 174
| 1054.545455
| 1054.5455
| ?
| ?
| ?
| ?
Line 1,237: Line 1,237:
|-
|-
| 175
| 175
| 1060.606061
| 1060.6061
|  
|  
|  
|  
Line 1,244: Line 1,244:
|-
|-
| 176
| 176
| 1066.666667
| 1066.6667
| [[50/27]]
| [[50/27]]
| ?
| ?
Line 1,251: Line 1,251:
|-
|-
| 177
| 177
| 1072.727273
| 1072.7273
|  
|  
|  
|  
Line 1,258: Line 1,258:
|-
|-
| 178
| 178
| 1078.787879
| 1078.7879
| ?
| ?
| [[28/15]]
| [[28/15]]
Line 1,265: Line 1,265:
|-
|-
| 179
| 179
| 1084.848485
| 1084.8485
|  
|  
|  
|  
Line 1,272: Line 1,272:
|-
|-
| 180
| 180
| 1090.909091
| 1090.9091
| [[15/8]]
| [[15/8]]
| ?
| ?
Line 1,279: Line 1,279:
|-
|-
| 181
| 181
| 1096.969697
| 1096.9697
|  
|  
|  
|  
Line 1,286: Line 1,286:
|-
|-
| 182
| 182
| 1103.030303
| 1103.0303
| ?
| ?
| ?
| ?
Line 1,293: Line 1,293:
|-
|-
| 183
| 183
| 1109.090909
| 1109.0909
|  
|  
|  
|  
Line 1,300: Line 1,300:
|-
|-
| 184
| 184
| 1115.151515
| 1115.1515
| ?
| ?
| [[40/21]]
| [[40/21]]
Line 1,307: Line 1,307:
|-
|-
| 185
| 185
| 1121.212121
| 1121.2121
|  
|  
|  
|  
Line 1,314: Line 1,314:
|-
|-
| 186
| 186
| 1127.272727
| 1127.2727
| [[48/25]]
| [[48/25]]
| ?
| ?
Line 1,321: Line 1,321:
|-
|-
| 187
| 187
| 1133.333333
| 1133.3333
|  
|  
|  
|  
Line 1,328: Line 1,328:
|-
|-
| 188
| 188
| 1139.393939
| 1139.3939
| ?
| ?
| [[27/14]]
| [[27/14]]
Line 1,335: Line 1,335:
|-
|-
| 189
| 189
| 1145.454545
| 1145.4545
|  
|  
|  
|  
Line 1,342: Line 1,342:
|-
|-
| 190
| 190
| 1151.515152
| 1151.5152
| ?
| ?
| [[35/18]]
| [[35/18]]
Line 1,349: Line 1,349:
|-
|-
| 191
| 191
| 1157.575758
| 1157.5758
|  
|  
|  
|  
Line 1,356: Line 1,356:
|-
|-
| 192
| 192
| 1163.636364
| 1163.6364
| ?
| ?
| 96/49, 49/25
| 96/49, 49/25
Line 1,363: Line 1,363:
|-
|-
| 193
| 193
| 1169.696970
| 1169.6970
|  
|  
|  
|  
Line 1,370: Line 1,370:
|-
|-
| 194
| 194
| 1175.757576
| 1175.7576
| 160/81
| 160/81
| 63/32
| 63/32
Line 1,377: Line 1,377:
|-
|-
| 195
| 195
| 1181.818182
| 1181.8182
|  
|  
|  
|  
Line 1,384: Line 1,384:
|-
|-
| 196
| 196
| 1187.878788
| 1187.8788
| ?
| ?
| 125/63, 486/245
| 125/63, 486/245
Line 1,391: Line 1,391:
|-
|-
| 197
| 197
| 1193.939394
| 1193.9394
|  
|  
|  
|  
Line 1,398: Line 1,398:
|-
|-
| 198
| 198
| 1200.000000
| 1200.0000
| colspan="4"| '''[[2/1]]'''
| colspan="4"| '''[[2/1]]'''
|-
|-

Revision as of 12:20, 9 November 2020

This article is a work in progress.

This table of 198edo intervals assumes 13-limit patent val ⟨198 314 460 556 685 733].

Intervals highlighted in bold are prime harmonics or subharmonics. Intervals that differ from their assigned steps by more than 50% or intervals with odd limit over 729 are not shown. Note that no 7-limit interval can be represented by odd degrees, so those entries are left blank.

# Cents 5 limit 7 limit 11 limit 13 limit
0 0.0000 1/1
1 6.0606 385/384, 441/440, 540/539 196/195, 325/324, 351/350, 364/363
2 12.1212 ? 126/125, 245/243 121/120 144/143, 169/168
3 18.1818 99/98, 100/99 ?
4 24.2424 81/80 64/63 ? 66/65, 78/77
5 30.3030 55/54, 56/55 ?
6 36.3636 ? 49/48, 50/49 ? ?
7 42.4242 ? 40/39
8 48.4848 ? 36/35 ? ?
9 54.5455 33/32 65/63
10 60.6061 ? 28/27 ? ?
11 66.6667 80/77 26/25, 27/26
12 72.7273 25/24 ? 126/121 ?
13 78.7879 22/21 ?
14 84.8485 ? 21/20 ? ?
15 90.9091 ? 96/91
16 96.9697 ? 200/189 128/121 ?
17 103.0303 35/33 ?
18 109.0909 16/15 ? ? ?
19 115.1515 ? ?
20 121.2121 ? 15/14 ? ?
21 127.2727 ? 14/13
22 133.3333 27/25 175/162 ? ?
23 139.3939 ? 13/12
24 145.4545 ? 49/45, 160/147 ? ?
25 151.5152 12/11 ?
26 157.5758 ? 35/32 ? ?
27 163.6364 11/10 ?
28 169.6970 ? 54/49 ? ?
29 175.7576 ? ?
30 181.8182 10/9 ? ? ?
31 187.8788 ? ?
32 193.9394 ? 28/25 121/108 ?
33 200.0000 ? 91/81
34 206.0606 9/8 ? ? 44/39
35 212.1212 ? ?
36 218.1818 ? ? ? ?
37 224.2424 ? 91/80
38 230.3030 ? 8/7 ? ?
39 236.3636 55/48 ?
40 242.4242 ? 280/243 ? ?
41 248.4848 ? 15/13
42 254.5455 ? 81/70 140/121 ?
43 260.6061 64/55 ?
44 266.6667 ? 7/6 ? ?
45 272.7273 ? ?
46 278.7879 ? ? ? ?
47 284.8485 33/28 ?
48 290.9091 ? 189/160 ? 13/11
49 296.9697 ? ?
50 303.0303 ? 25/21 144/121 ?
51 309.0909 ? ?
52 315.1515 6/5 ? ? ?
53 321.2121 ? ?
54 327.2727 ? ? ? ?
55 333.3333 ? 63/52
56 339.3939 ? ? ? ?
57 345.4545 11/9 39/32
58 351.5152 ? 49/40, 60/49 ? ?
59 357.5757 27/22 16/13
60 363.6364 ? ? ? ?
61 369.6970 ? 26/21
62 375.7576 ? ? ? ?
63 381.8182 ? ?
64 387.8788 5/4 ? ? ?
65 393.9394 ? ?
66 400.0000 ? 63/50 121/96 ?
67 406.0606 ? ?
68 412.1212 ? 80/63 ? 33/26
69 418.1818 14/11 ?
70 424.2424 ? ? ? ?
71 430.3030 ? ?
72 436.3636 ? 9/7 ? ?
73 442.4242 128/99 ?
74 448.4848 ? 35/27 ? ?
75 454.5455 ? 13/10
76 460.6061 ? ? ? ?
77 466.6667 ? ?
78 472.7273 ? 21/16 ? ?
79 478.7879 ? ?
80 484.8485 ? ? ? ?
81 490.9091 ? ?
82 496.9697 4/3 ? ? ?
83 503.0303 ? ?
84 509.0909 ? ? ? ?
85 515.1515 ? ?
86 521.2121 27/20 ? ? ?
87 527.2727 ? ?
88 533.3333 ? 49/36 ? ?
89 539.3939 15/11 ?
90 545.4545 ? 48/35 ? ?
91 551.5152 11/8 ?
92 557.5758 ? 441/320 ? ?
93 563.6364 ? 18/13
94 569.6970 25/18 ? ? ?
95 575.7576 ? ?
96 581.8182 ? 7/5 ? ?
97 587.8788 ? ?
98 593.9394 ? ? ? ?
99 600.0000 99/70, 140/99 ?
100 606.0606 ? ? ? ?
101 612.1212 ? ?
102 618.1818 ? 10/7 ? ?
103 624.2424 ? ?
104 630.3030 36/25 ? ? ?
105 636.3636 ? 13/9
106 642.4242 ? ? ? ?
107 648.4848 16/11 ?
108 654.5455 ? 640/441 ? ?
109 660.6061 22/15 ?
110 666.6667 ? ? ? ?
111 672.7273 ? ?
112 678.7879 40/27 ? ? ?
113 684.8485 ? ?
114 690.9091 ? ? ? ?
115 696.9697 ? ?
116 703.0303 3/2 ? ? ?
117 709.0909 ? ?
118 715.1515 ? ? ? ?
119 721.2121 ? ?
120 727.2727 32/21 ? ?
121 733.3333 ? ?
122 739.3939 ? ? ? ?
123 745.4545 ? 20/13
124 751.5152 ? 54/35 ? ?
125 757.5758 ? ?
126 763.6364 ? 14/9 ? ?
127 769.6970 ? ?
128 775.7576 ? ? ? ?
129 781.8182 11/7 ?
130 787.8788 ? 63/40 ? 52/33
131 793.9394 ? ?
132 800.0000 ? 100/63 192/121 ?
133 806.0606 ? ?
134 812.1212 8/5 ? ? ?
135 818.1818 ? ?
136 824.2424 ? ? ? ?
137 830.3030 ? 21/13
138 836.3636 ? ? ? ?
139 842.4242 44/27 13/8
140 848.4848 ? 49/30, 80/49 ? ?
141 854.5455 18/11 64/39
142 860.6061 ? ? ? ?
143 866.6667 ? 104/63
144 872.7273 ? ? ? ?
145 878.7879 ? ?
146 884.8485 5/3 ? ? ?
147 890.9091 ? ?
148 896.9697 ? 42/25 ? ?
149 903.0303 ? ?
150 909.0909 ? 320/189 ? 22/13
151 915.1515 ? ?
152 921.2121 ? ? ? ?
153 927.2727 ? ?
154 933.3333 ? 12/7 ? ?
155 939.3939 55/32 ?
156 945.4545 ? 140/81 121/70 ?
157 951.5152 ? 26/15
158 957.5758 ? 243/140 ? ?
159 963.6364 96/55 ?
160 969.6970 ? 7/4 ? ?
161 975.7576 ? 160/91
162 981.8182 ? ? ? ?
163 987.8788 ? ?
164 993.9394 16/9 ? ? 39/22
165 1000.0000 ? 162/91
166 1006.0606 ? ? ? ?
167 1012.1212 ? ?
168 1018.1818 9/5 ? ? ?
169 1024.2424 ? ?
170 1030.3030 ? ? ? ?
171 1036.3636 20/11 ?
172 1042.4242 ? ? ? ?
173 1048.4848 11/6 ?
174 1054.5455 ? ? ? ?
175 1060.6061 ? 24/13
176 1066.6667 50/27 ? ? ?
177 1072.7273 ? 13/7
178 1078.7879 ? 28/15 ? ?
179 1084.8485 ? ?
180 1090.9091 15/8 ? ? ?
181 1096.9697 ? ?
182 1103.0303 ? ? ? ?
183 1109.0909 ? ?
184 1115.1515 ? 40/21 ? ?
185 1121.2121 21/11 ?
186 1127.2727 48/25 ? ? 121/63
187 1133.3333 ? 25/13, 52/27
188 1139.3939 ? 27/14 ? ?
189 1145.4545 64/33 126/65
190 1151.5152 ? 35/18 ? ?
191 1157.5758 ? 39/20
192 1163.6364 ? 96/49, 49/25 ? ?
193 1169.6970 108/55, 55/27 ?
194 1175.7576 160/81 63/32 ? 65/33, 77/39
195 1181.8182 196/99, 99/50 ?
196 1187.8788 ? 125/63, 486/245 240/121 143/72, 336/169
197 1193.9394 768/385, 880/441, 539/270 195/98, 648/325, 700/351, 363/182
198 1200.0000 2/1
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