Table of 171edo intervals: Difference between revisions

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Xenwolf (talk | contribs)
autopatrolled, Bureaucrats, confirmaccount-notify, Interface administrators, Sysops
8,705 edits
recat
Xenwolf (talk | contribs)
autopatrolled, Bureaucrats, confirmaccount-notify, Interface administrators, Sysops
8,705 edits
cleanup, still more todo
Line 1: Line 1:
{| class="wikitable"
{| class="wikitable"
|-
|-
| | Step
| Step
| | Five limit
| Five limit
| | Seven limit
| Seven limit
| | Eleven limit
| Eleven limit
| | Thirteen limit
| Thirteen limit
|-
|-
| | 1
| 1
| | 15625/15552
| 15625/15552
| | 225/224
| 225/224
| | 225/224
| 225/224
| | 144/143
| 144/143
|-
|-
| | 2
| 2
| | 78732/78125
| 78732/78125
| | 126/125
| 126/125
| | 100/99
| 100/99
| | 100/99
| 100/99
|-
|-
| | 3
| 3
| | 81/80
| 81/80
| | 81/80
| 81/80
| | 81/80
| 81/80
| | 78/77
| 78/77
|-
|-
| | 4
| 4
| | 3125/3072
| 3125/3072
| | 64/63
| 64/63
| | 56/55
| 56/55
| | 56/55
| 56/55
|-
|-
| | 5
| 5
| | ?
| ?
| | 49/48
| 49/48
| | 45/44
| 45/44
| | 45/44
| 45/44
|-
|-
| | 6
| 6
| | 128/125
| 128/125
| | 128/125
| 128/125
| | 128/125
| 128/125
| | 40/39
| 40/39
|-
|-
| | 7
| 7
| | 250/243
| 250/243
| | 36/35
| 36/35
| | 36/35
| 36/35
| | 36/35
| 36/35
|-
|-
| | 8
| 8
| | ?
| ?
| | 405/392
| 405/392
| | 33/32
| 33/32
| | 33/32
| 33/32
|-
|-
| | 9
| 9
| | 648/625
| 648/625
| | 28/27
| 28/27
| | 28/27
| 28/27
| | 27/26
| 27/26
|-
|-
| | 10
| 10
| | 25/24
| 25/24
| | 25/24
| 25/24
| | 25/24
| 25/24
| | 25/24
| 25/24
|-
|-
| | 11
| 11
| | ?
| ?
| | 256/245
| 256/245
| | 256/245
| 256/245
| | 117/112
| 117/112
|-
|-
| | 12
| 12
| | 6561/6250
| 6561/6250
| | 21/20
| 21/20
| | 21/20
| 21/20
| | 21/20
| 21/20
|-
|-
| | 13
| 13
| | 135/128
| 135/128
| | 135/128
| 135/128
| | 128/121
| 128/121
| | 96/91
| 96/91
|-
|-
| | 14
| 14
| | 62500/59049
| 62500/59049
| | 200/189
| 200/189
| | 35/33
| 35/33
| | 35/33
| 35/33
|-
|-
| | 15
| 15
| | 82944/78125
| 82944/78125
| | 625/588
| 625/588
| | 297/280
| 297/280
| | 52/49
| 52/49
|-
|-
| | 16
| 16
| | 16/15
| 16/15
| | 16/15
| 16/15
| | 16/15
| 16/15
| | 16/15
| 16/15
|-
|-
| | 17
| 17
| | 3125/2916
| 3125/2916
| | 15/14
| 15/14
| | 15/14
| 15/14
| | 15/14
| 15/14
|-
|-
| | 18
| 18
| | ?
| ?
| | 672/625
| 672/625
| | 275/256
| 275/256
| | 14/13
| 14/13
|-
|-
| | 19
| 19
| | 27/25
| 27/25
| | 27/25
| 27/25
| | 27/25
| 27/25
| | 27/25
| 27/25
|-
|-
| | 20
| 20
| | 625/576
| 625/576
| | 243/224
| 243/224
| | 121/112
| 121/112
| | 13/12
| 13/12
|-
|-
| | 21
| 21
| | ?
| ?
| | 49/45
| 49/45
| | 12/11
| 12/11
| | 12/11
| 12/11
|-
|-
| | 22
| 22
| | 2048/1875
| 2048/1875
| | 35/32
| 35/32
| | 35/32
| 35/32
| | 35/32
| 35/32
|-
|-
| | 23
| 23
| | 800/729
| 800/729
| | 192/175
| 192/175
| | 192/175
| 192/175
| | 100/91
| 100/91
|-
|-
| | 24
| 24
| | ?
| ?
| | 54/49
| 54/49
| | 11/10
| 11/10
| | 11/10
| 11/10
|-
|-
| | 25
| 25
| | 3456/3125
| 3456/3125
| | 448/405
| 448/405
| | 256/231
| 256/231
| | 72/65
| 72/65
|-
|-
| | 26
| 26
| | 10/9
| 10/9
| | 10/9
| 10/9
| | 10/9
| 10/9
| | 10/9
| 10/9
|-
|-
| | 27
| 27
| | 78125/69984
| 78125/69984
| | 125/112
| 125/112
| | 125/112
| 125/112
| | 39/35
| 39/35
|-
|-
| | 28
| 28
| | 17496/15625
| 17496/15625
| | 28/25
| 28/25
| | 28/25
| 28/25
| | 28/25
| 28/25
|-
|-
| | 29
| 29
| | 9/8
| 9/8
| | 9/8
| 9/8
| | 9/8
| 9/8
| | 9/8
| 9/8
|-
|-
| | 30
| 30
| | 15625/13824
| 15625/13824
| | 640/567
| 640/567
| | 112/99
| 112/99
| | 44/39
| 44/39
|-
|-
| | 31
| 31
| | ?
| ?
| | 245/216
| 245/216
| | 25/22
| 25/22
| | 25/22
| 25/22
|-
|-
| | 32
| 32
| | 256/225
| 256/225
| | 256/225
| 256/225
| | 256/225
| 256/225
| | 91/80
| 91/80
|-
|-
| | 33
| 33
| | 2500/2187
| 2500/2187
| | 8/7
| 8/7
| | 8/7
| 8/7
| | 8/7
| 8/7
|-
|-
| | 34
| 34
| | ?
| ?
| | 147/128
| 147/128
| | 55/48
| 55/48
| | 55/48
| 55/48
|-
|-
| | 35
| 35
| | 144/125
| 144/125
| | 144/125
| 144/125
| | 140/121
| 140/121
| | 15/13
| 15/13
|-
|-
| | 36
| 36
| | 125/108
| 125/108
| | 81/70
| 81/70
| | 81/70
| 81/70
| | 52/45
| 52/45
|-
|-
| | 37
| 37
| | ?
| ?
| | 512/441
| 512/441
| | 64/55
| 64/55
| | 64/55
| 64/55
|-
|-
| | 38
| 38
| | 729/625
| 729/625
| | 7/6
| 7/6
| | 7/6
| 7/6
| | 7/6
| 7/6
|-
|-
| | 39
| 39
| | 75/64
| 75/64
| | 75/64
| 75/64
| | 75/64
| 75/64
| | 75/64
| 75/64
|-
|-
| | 40
| 40
| | ?
| ?
| | 147/125
| 147/125
| | 88/75
| 88/75
| | 88/75
| 88/75
|-
|-
| | 41
| 41
| | 18432/15625
| 18432/15625
| | 189/160
| 189/160
| | 33/28
| 33/28
| | 13/11
| 13/11
|-
|-
| | 42
| 42
| | 32/27
| 32/27
| | 32/27
| 32/27
| | 32/27
| 32/27
| | 32/27
| 32/27
|-
|-
| | 43
| 43
| | 15625/13122
| 15625/13122
| | 25/21
| 25/21
| | 25/21
| 25/21
| | 25/21
| 25/21
|-
|-
| | 44
| 44
| | 93312/78125
| 93312/78125
| | 448/375
| 448/375
| | 448/375
| 448/375
| | 117/98
| 117/98
|-
|-
| | 45
| 45
| | 6/5
| 6/5
| | 6/5
| 6/5
| | 6/5
| 6/5
| | 6/5
| 6/5
|-
|-
| | 46
| 46
| | 3125/2592
| 3125/2592
| | 135/112
| 135/112
| | 77/64
| 77/64
| | 65/54
| 65/54
|-
|-
| | 47
| 47
| | ?
| ?
| | 98/81
| 98/81
| | 40/33
| 40/33
| | 40/33
| 40/33
|-
|-
| | 48
| 48
| | 243/200
| 243/200
| | 175/144
| 175/144
| | 121/100
| 121/100
| | 91/75
| 91/75
|-
|-
| | 49
| 49
| | 625/512
| 625/512
| | 128/105
| 128/105
| | 128/105
| 128/105
| | 39/32
| 39/32
|-
|-
| | 50
| 50
| | ?
| ?
| | 49/40
| 49/40
| | 11/9
| 11/9
| | 11/9
| 11/9
|-
|-
| | 51
| 51
| | 768/625
| 768/625
| | 315/256
| 315/256
| | 275/224
| 275/224
| | 16/13
| 16/13
|-
|-
| | 52
| 52
| | 100/81
| 100/81
| | 100/81
| 100/81
| | 100/81
| 100/81
| | 100/81
| 100/81
|-
|-
| | 53
| 53
| | ?
| ?
| | 243/196
| 243/196
| | 99/80
| 99/80
| | 26/21
| 26/21
|-
|-
| | 54
| 54
| | 3888/3125
| 3888/3125
| | 56/45
| 56/45
| | 56/45
| 56/45
| | 56/45
| 56/45
|-
|-
| | 55
| 55
| | 5/4
| 5/4
| | 5/4
| 5/4
| | 5/4
| 5/4
| | 5/4
| 5/4
|-
|-
| | 56
| 56
| | 78125/62208
| 78125/62208
| | 784/625
| 784/625
| | 784/625
| 784/625
| | 49/39
| 49/39
|-
|-
| | 57
| 57
| | 19683/15625
| 19683/15625
| | 63/50
| 63/50
| | 44/35
| 44/35
| | 44/35
| 44/35
|-
|-
| | 58
| 58
| | 81/64
| 81/64
| | 81/64
| 81/64
| | 81/64
| 81/64
| | 81/64
| 81/64
|-
|-
| | 59
| 59
| | 15625/12288
| 15625/12288
| | 80/63
| 80/63
| | 14/11
| 14/11
| | 14/11
| 14/11
|-
|-
| | 60
| 60
| | ?
| ?
| | 125/98
| 125/98
| | 125/98
| 125/98
| | 125/98
| 125/98
|-
|-
| | 61
| 61
| | 32/25
| 32/25
| | 32/25
| 32/25
| | 32/25
| 32/25
| | 32/25
| 32/25
|-
|-
| | 62
| 62
| | 625/486
| 625/486
| | 9/7
| 9/7
| | 9/7
| 9/7
| | 9/7
| 9/7
|-
|-
| | 63
| 63
| | ?
| ?
| | 1323/1024
| 1323/1024
| | 128/99
| 128/99
| | 84/65
| 84/65
|-
|-
| | 64
| 64
| | 162/125
| 162/125
| | 35/27
| 35/27
| | 35/27
| 35/27
| | 35/27
| 35/27
|-
|-
| | 65
| 65
| | 125/96
| 125/96
| | 125/96
| 125/96
| | 125/96
| 125/96
| | 13/10
| 13/10
|-
|-
| | 66
| 66
| | ?
| ?
| | 64/49
| 64/49
| | 64/49
| 64/49
| | 64/49
| 64/49
|-
|-
| | 67
| 67
| | 4096/3125
| 4096/3125
| | 21/16
| 21/16
| | 21/16
| 21/16
| | 21/16
| 21/16
|-
|-
| | 68
| 68
| | 320/243
| 320/243
| | 320/243
| 320/243
| | 160/121
| 160/121
| | 120/91
| 120/91
|-
|-
| | 69
| 69
| | 78125/59049
| 78125/59049
| | 250/189
| 250/189
| | 33/25
| 33/25
| | 33/25
| 33/25
|-
|-
| | 70
| 70
| | 20736/15625
| 20736/15625
| | 896/675
| 896/675
| | 297/224
| 297/224
| | 65/49
| 65/49
|-
|-
| | 71
| 71
| | 4/3
| 4/3
| | 4/3
| 4/3
| | 4/3
| 4/3
| | 4/3
| 4/3
|-
|-
| | 72
| 72
| | 15625/11664
| 15625/11664
| | 75/56
| 75/56
| | 75/56
| 75/56
| | 75/56
| 75/56
|-
|-
| | 73
| 73
| | ?
| ?
| | 168/125
| 168/125
| | 168/125
| 168/125
| | 35/26
| 35/26
|-
|-
| | 74
| 74
| | 27/20
| 27/20
| | 27/20
| 27/20
| | 27/20
| 27/20
| | 27/20
| 27/20
|-
|-
| | 75
| 75
| | 3125/2304
| 3125/2304
| | 256/189
| 256/189
| | 224/165
| 224/165
| | 65/48
| 65/48
|-
|-
| | 76
| 76
| | ?
| ?
| | 49/36
| 49/36
| | 15/11
| 15/11
| | 15/11
| 15/11
|-
|-
| | 77
| 77
| | 512/375
| 512/375
| | 175/128
| 175/128
| | 175/128
| 175/128
| | 143/105
| 143/105
|-
|-
| | 78
| 78
| | 1000/729
| 1000/729
| | 48/35
| 48/35
| | 48/35
| 48/35
| | 48/35
| 48/35
|-
|-
| | 79
| 79
| | ?
| ?
| | 135/98
| 135/98
| | 11/8
| 11/8
| | 11/8
| 11/8
|-
|-
| | 80
| 80
| | 864/625
| 864/625
| | 112/81
| 112/81
| | 112/81
| 112/81
| | 18/13
| 18/13
|-
|-
| | 81
| 81
| | 25/18
| 25/18
| | 25/18
| 25/18
| | 25/18
| 25/18
| | 25/18
| 25/18
|-
|-
| | 82
| 82
| | ?
| ?
| | 625/448
| 625/448
| | 384/275
| 384/275
| | 39/28
| 39/28
|-
|-
| | 83
| 83
| | 4374/3125
| 4374/3125
| | 7/5
| 7/5
| | 7/5
| 7/5
| | 7/5
| 7/5
|-
|-
| | 84
| 84
| | 45/32
| 45/32
| | 45/32
| 45/32
| | 45/32
| 45/32
| | 45/32
| 45/32
|-
|-
| | 85
| 85
| | 78125/55296
| 78125/55296
| | 343/243
| 343/243
| | 140/99
| 140/99
| | 55/39
| 55/39
|-
|-
| | 86
| 86
| | ?
| ?
| | 486/343
| 486/343
| | 99/70
| 99/70
| | 78/55
| 78/55
|-
|-
| | 87
| 87
| | 64/45
| 64/45
| | 64/45
| 64/45
| | 64/45
| 64/45
| | 64/45
| 64/45
|-
|-
| | 88
| 88
| | 3125/2187
| 3125/2187
| | 10/7
| 10/7
| | 10/7
| 10/7
| | 10/7
| 10/7
|-
|-
| | 89
| 89
| | ?
| ?
| | 735/512
| 735/512
| | 275/192
| 275/192
| | 56/39
| 56/39
|-
|-
| | 90
| 90
| | 36/25
| 36/25
| | 36/25
| 36/25
| | 36/25
| 36/25
| | 36/25
| 36/25
|-
|-
| | 91
| 91
| | 625/432
| 625/432
| | 81/56
| 81/56
| | 81/56
| 81/56
| | 13/9
| 13/9
|-
|-
| | 92
| 92
| | ?
| ?
| | 196/135
| 196/135
| | 16/11
| 16/11
| | 16/11
| 16/11
|-
|-
| | 93
| 93
| | 729/500
| 729/500
| | 35/24
| 35/24
| | 35/24
| 35/24
| | 35/24
| 35/24
|-
|-
| | 94
| 94
| | 375/256
| 375/256
| | 256/175
| 256/175
| | 256/175
| 256/175
| | 117/80
| 117/80
|-
|-
| | 95
| 95
| | ?
| ?
| | 72/49
| 72/49
| | 22/15
| 22/15
| | 22/15
| 22/15
|-
|-
| | 96
| 96
| | 4608/3125
| 4608/3125
| | 189/128
| 189/128
| | 165/112
| 165/112
| | 65/44
| 65/44
|-
|-
| | 97
| 97
| | 40/27
| 40/27
| | 40/27
| 40/27
| | 40/27
| 40/27
| | 40/27
| 40/27
|-
|-
| | 98
| 98
| | 78125/52488
| 78125/52488
| | 125/84
| 125/84
| | 125/84
| 125/84
| | 52/35
| 52/35
|-
|-
| | 99
| 99
| | 23328/15625
| 23328/15625
| | 112/75
| 112/75
| | 112/75
| 112/75
| | 112/75
| 112/75
|-
|-
| | 100
| 100
| | 3/2
| 3/2
| | 3/2
| 3/2
| | 3/2
| 3/2
| | 3/2
| 3/2
|-
|-
| | 101
| 101
| | 15625/10368
| 15625/10368
| | 675/448
| 675/448
| | 385/256
| 385/256
| | 98/65
| 98/65
|-
|-
| | 102
| 102
| | ?
| ?
| | 189/125
| 189/125
| | 50/33
| 50/33
| | 50/33
| 50/33
|-
|-
| | 103
| 103
| | 243/160
| 243/160
| | 243/160
| 243/160
| | 121/80
| 121/80
| | 91/60
| 91/60
|-
|-
| | 104
| 104
| | 3125/2048
| 3125/2048
| | 32/21
| 32/21
| | 32/21
| 32/21
| | 32/21
| 32/21
|-
|-
| | 105
| 105
| | ?
| ?
| | 49/32
| 49/32
| | 49/32
| 49/32
| | 49/32
| 49/32
|-
|-
| | 106
| 106
| | 192/125
| 192/125
| | 192/125
| 192/125
| | 192/125
| 192/125
| | 20/13
| 20/13
|-
|-
| | 107
| 107
| | 125/81
| 125/81
| | 54/35
| 54/35
| | 54/35
| 54/35
| | 54/35
| 54/35
|-
|-
| | 108
| 108
| | ?
| ?
| | 1215/784
| 1215/784
| | 99/64
| 99/64
| | 65/42
| 65/42
|-
|-
| | 109
| 109
| | 972/625
| 972/625
| | 14/9
| 14/9
| | 14/9
| 14/9
| | 14/9
| 14/9
|-
|-
| | 110
| 110
| | 25/16
| 25/16
| | 25/16
| 25/16
| | 25/16
| 25/16
| | 25/16
| 25/16
|-
|-
| | 111
| 111
| | ?
| ?
| | 196/125
| 196/125
| | 196/125
| 196/125
| | 169/108
| 169/108
|-
|-
| | 112
| 112
| | 19683/12500
| 19683/12500
| | 63/40
| 63/40
| | 11/7
| 11/7
| | 11/7
| 11/7
|-
|-
| | 113
| 113
| | 128/81
| 128/81
| | 128/81
| 128/81
| | 128/81
| 128/81
| | 128/81
| 128/81
|-
|-
| | 114
| 114
| | 31250/19683
| 31250/19683
| | 100/63
| 100/63
| | 35/22
| 35/22
| | 35/22
| 35/22
|-
|-
| | 115
| 115
| | ?
| ?
| | 625/392
| 625/392
| | 625/392
| 625/392
| | 78/49
| 78/49
|-
|-
| | 116
| 116
| | 8/5
| 8/5
| | 8/5
| 8/5
| | 8/5
| 8/5
| | 8/5
| 8/5
|-
|-
| | 117
| 117
| | 3125/1944
| 3125/1944
| | 45/28
| 45/28
| | 45/28
| 45/28
| | 45/28
| 45/28
|-
|-
| | 118
| 118
| | ?
| ?
| | 392/243
| 392/243
| | 160/99
| 160/99
| | 21/13
| 21/13
|-
|-
| | 119
| 119
| | 81/50
| 81/50
| | 81/50
| 81/50
| | 81/50
| 81/50
| | 81/50
| 81/50
|-
|-
| | 120
| 120
| | 625/384
| 625/384
| | 512/315
| 512/315
| | 363/224
| 363/224
| | 13/8
| 13/8
|-
|-
| | 121
| 121
| | ?
| ?
| | 49/30
| 49/30
| | 18/11
| 18/11
| | 18/11
| 18/11
|-
|-
| | 122
| 122
| | 1024/625
| 1024/625
| | 105/64
| 105/64
| | 105/64
| 105/64
| | 64/39
| 64/39
|-
|-
| | 123
| 123
| | 400/243
| 400/243
| | 288/175
| 288/175
| | 200/121
| 200/121
| | 150/91
| 150/91
|-
|-
| | 124
| 124
| | ?
| ?
| | 81/49
| 81/49
| | 33/20
| 33/20
| | 33/20
| 33/20
|-
|-
| | 125
| 125
| | 5184/3125
| 5184/3125
| | 224/135
| 224/135
| | 128/77
| 128/77
| | 108/65
| 108/65
|-
|-
| | 126
| 126
| | 5/3
| 5/3
| | 5/3
| 5/3
| | 5/3
| 5/3
| | 5/3
| 5/3
|-
|-
| | 127
| 127
| | 78125/46656
| 78125/46656
| | 375/224
| 375/224
| | 375/224
| 375/224
| | 117/70
| 117/70
|-
|-
| | 128
| 128
| | 26244/15625
| 26244/15625
| | 42/25
| 42/25
| | 42/25
| 42/25
| | 42/25
| 42/25
|-
|-
| | 129
| 129
| | 27/16
| 27/16
| | 27/16
| 27/16
| | 27/16
| 27/16
| | 27/16
| 27/16
|-
|-
| | 130
| 130
| | 15625/9216
| 15625/9216
| | 320/189
| 320/189
| | 56/33
| 56/33
| | 22/13
| 22/13
|-
|-
| | 131
| 131
| | ?
| ?
| | 245/144
| 245/144
| | 75/44
| 75/44
| | 75/44
| 75/44
|-
|-
| | 132
| 132
| | 128/75
| 128/75
| | 128/75
| 128/75
| | 128/75
| 128/75
| | 128/75
| 128/75
|-
|-
| | 133
| 133
| | 1250/729
| 1250/729
| | 12/7
| 12/7
| | 12/7
| 12/7
| | 12/7
| 12/7
|-
|-
| | 134
| 134
| | ?
| ?
| | 441/256
| 441/256
| | 55/32
| 55/32
| | 55/32
| 55/32
|-
|-
| | 135
| 135
| | 216/125
| 216/125
| | 140/81
| 140/81
| | 140/81
| 140/81
| | 45/26
| 45/26
|-
|-
| | 136
| 136
| | 125/72
| 125/72
| | 125/72
| 125/72
| | 121/70
| 121/70
| | 26/15
| 26/15
|-
|-
| | 137
| 137
| | ?
| ?
| | 256/147
| 256/147
| | 96/55
| 96/55
| | 96/55
| 96/55
|-
|-
| | 138
| 138
| | 2187/1250
| 2187/1250
| | 7/4
| 7/4
| | 7/4
| 7/4
| | 7/4
| 7/4
|-
|-
| | 139
| 139
| | 225/128
| 225/128
| | 225/128
| 225/128
| | 225/128
| 225/128
| | 160/91
| 160/91
|-
|-
| | 140
| 140
| | ?
| ?
| | 432/245
| 432/245
| | 44/25
| 44/25
| | 44/25
| 44/25
|-
|-
| | 141
| 141
| | 27648/15625
| 27648/15625
| | 567/320
| 567/320
| | 99/56
| 99/56
| | 39/22
| 39/22
|-
|-
| | 142
| 142
| | 16/9
| 16/9
| | 16/9
| 16/9
| | 16/9
| 16/9
| | 16/9
| 16/9
|-
|-
| | 143
| 143
| | 15625/8748
| 15625/8748
| | 25/14
| 25/14
| | 25/14
| 25/14
| | 25/14
| 25/14
|-
|-
| | 144
| 144
| | ?
| ?
| | 224/125
| 224/125
| | 224/125
| 224/125
| | 70/39
| 70/39
|-
|-
| | 145
| 145
| | 9/5
| 9/5
| | 9/5
| 9/5
| | 9/5
| 9/5
| | 9/5
| 9/5
|-
|-
| | 146
| 146
| | 3125/1728
| 3125/1728
| | 405/224
| 405/224
| | 231/128
| 231/128
| | 65/36
| 65/36
|-
|-
| | 147
| 147
| | ?
| ?
| | 49/27
| 49/27
| | 20/11
| 20/11
| | 20/11
| 20/11
|-
|-
| | 148
| 148
| | 729/400
| 729/400
| | 175/96
| 175/96
| | 175/96
| 175/96
| | 91/50
| 91/50
|-
|-
| | 149
| 149
| | 1875/1024
| 1875/1024
| | 64/35
| 64/35
| | 64/35
| 64/35
| | 64/35
| 64/35
|-
|-
| | 150
| 150
| | ?
| ?
| | 90/49
| 90/49
| | 11/6
| 11/6
| | 11/6
| 11/6
|-
|-
| | 151
| 151
| | 1152/625
| 1152/625
| | 448/243
| 448/243
| | 224/121
| 224/121
| | 24/13
| 24/13
|-
|-
| | 152
| 152
| | 50/27
| 50/27
| | 50/27
| 50/27
| | 50/27
| 50/27
| | 50/27
| 50/27
|-
|-
| | 153
| 153
| | ?
| ?
| | 625/336
| 625/336
| | 297/160
| 297/160
| | 13/7
| 13/7
|-
|-
| | 154
| 154
| | 5832/3125
| 5832/3125
| | 28/15
| 28/15
| | 28/15
| 28/15
| | 28/15
| 28/15
|-
|-
| | 155
| 155
| | 15/8
| 15/8
| | 15/8
| 15/8
| | 15/8
| 15/8
| | 15/8
| 15/8
|-
|-
| | 156
| 156
| | 78125/41472
| 78125/41472
| | 1176/625
| 1176/625
| | 560/297
| 560/297
| | 49/26
| 49/26
|-
|-
| | 157
| 157
| | 59049/31250
| 59049/31250
| | 189/100
| 189/100
| | 66/35
| 66/35
| | 66/35
| 66/35
|-
|-
| | 158
| 158
| | 243/128
| 243/128
| | 243/128
| 243/128
| | 121/64
| 121/64
| | 91/48
| 91/48
|-
|-
| | 159
| 159
| | 12500/6561
| 12500/6561
| | 40/21
| 40/21
| | 21/11
| 21/11
| | 21/11
| 21/11
|-
|-
| | 160
| 160
| | ?
| ?
| | 245/128
| 245/128
| | 245/128
| 245/128
| | 143/75
| 143/75
|-
|-
| | 161
| 161
| | 48/25
| 48/25
| | 48/25
| 48/25
| | 48/25
| 48/25
| | 25/13
| 25/13
|-
|-
| | 162
| 162
| | 625/324
| 625/324
| | 27/14
| 27/14
| | 27/14
| 27/14
| | 27/14
| 27/14
|-
|-
| | 163
| 163
| | ?
| ?
| | 784/405
| 784/405
| | 64/33
| 64/33
| | 64/33
| 64/33
|-
|-
| | 164
| 164
| | 243/125
| 243/125
| | 35/18
| 35/18
| | 35/18
| 35/18
| | 35/18
| 35/18
|-
|-
| | 165
| 165
| | 125/64
| 125/64
| | 125/64
| 125/64
| | 125/64
| 125/64
| | 39/20
| 39/20
|-
|-
| | 166
| 166
| | ?
| ?
| | 49/25
| 49/25
| | 49/25
| 49/25
| | 49/25
| 49/25
|-
|-
| | 167
| 167
| | 6144/3125
| 6144/3125
| | 63/32
| 63/32
| | 55/28
| 55/28
| | 55/28
| 55/28
|-
|-
| | 168
| 168
| | 160/81
| 160/81
| | 160/81
| 160/81
| | 160/81
| 160/81
| | 77/39
| 77/39
|-
|-
| | 169
| 169
| | 78125/39366
| 78125/39366
| | 125/63
| 125/63
| | 99/50
| 99/50
| | 99/50
| 99/50
|-
|-
| | 170
| 170
| | 31104/15625
| 31104/15625
| | 448/225
| 448/225
| | 448/225
| 448/225
| | 143/72
| 143/72
|-
|-
| | 171
| 171
| | 2/1
| 2/1
| | 2/1
| 2/1
| | 2/1
| 2/1
| | 2/1
| 2/1
|}
|}


Line 1,040: Line 1,040:
[[Category:5-limit]]
[[Category:5-limit]]
[[Category:7-limit]]
[[Category:7-limit]]
[[Category:Stub]]
 
[[category:todo:complete]]
{{Todo|add introduction|complete table}}

Revision as of 23:24, 28 November 2020

Step Five limit Seven limit Eleven limit Thirteen limit
1 15625/15552 225/224 225/224 144/143
2 78732/78125 126/125 100/99 100/99
3 81/80 81/80 81/80 78/77
4 3125/3072 64/63 56/55 56/55
5 ? 49/48 45/44 45/44
6 128/125 128/125 128/125 40/39
7 250/243 36/35 36/35 36/35
8 ? 405/392 33/32 33/32
9 648/625 28/27 28/27 27/26
10 25/24 25/24 25/24 25/24
11 ? 256/245 256/245 117/112
12 6561/6250 21/20 21/20 21/20
13 135/128 135/128 128/121 96/91
14 62500/59049 200/189 35/33 35/33
15 82944/78125 625/588 297/280 52/49
16 16/15 16/15 16/15 16/15
17 3125/2916 15/14 15/14 15/14
18 ? 672/625 275/256 14/13
19 27/25 27/25 27/25 27/25
20 625/576 243/224 121/112 13/12
21 ? 49/45 12/11 12/11
22 2048/1875 35/32 35/32 35/32
23 800/729 192/175 192/175 100/91
24 ? 54/49 11/10 11/10
25 3456/3125 448/405 256/231 72/65
26 10/9 10/9 10/9 10/9
27 78125/69984 125/112 125/112 39/35
28 17496/15625 28/25 28/25 28/25
29 9/8 9/8 9/8 9/8
30 15625/13824 640/567 112/99 44/39
31 ? 245/216 25/22 25/22
32 256/225 256/225 256/225 91/80
33 2500/2187 8/7 8/7 8/7
34 ? 147/128 55/48 55/48
35 144/125 144/125 140/121 15/13
36 125/108 81/70 81/70 52/45
37 ? 512/441 64/55 64/55
38 729/625 7/6 7/6 7/6
39 75/64 75/64 75/64 75/64
40 ? 147/125 88/75 88/75
41 18432/15625 189/160 33/28 13/11
42 32/27 32/27 32/27 32/27
43 15625/13122 25/21 25/21 25/21
44 93312/78125 448/375 448/375 117/98
45 6/5 6/5 6/5 6/5
46 3125/2592 135/112 77/64 65/54
47 ? 98/81 40/33 40/33
48 243/200 175/144 121/100 91/75
49 625/512 128/105 128/105 39/32
50 ? 49/40 11/9 11/9
51 768/625 315/256 275/224 16/13
52 100/81 100/81 100/81 100/81
53 ? 243/196 99/80 26/21
54 3888/3125 56/45 56/45 56/45
55 5/4 5/4 5/4 5/4
56 78125/62208 784/625 784/625 49/39
57 19683/15625 63/50 44/35 44/35
58 81/64 81/64 81/64 81/64
59 15625/12288 80/63 14/11 14/11
60 ? 125/98 125/98 125/98
61 32/25 32/25 32/25 32/25
62 625/486 9/7 9/7 9/7
63 ? 1323/1024 128/99 84/65
64 162/125 35/27 35/27 35/27
65 125/96 125/96 125/96 13/10
66 ? 64/49 64/49 64/49
67 4096/3125 21/16 21/16 21/16
68 320/243 320/243 160/121 120/91
69 78125/59049 250/189 33/25 33/25
70 20736/15625 896/675 297/224 65/49
71 4/3 4/3 4/3 4/3
72 15625/11664 75/56 75/56 75/56
73 ? 168/125 168/125 35/26
74 27/20 27/20 27/20 27/20
75 3125/2304 256/189 224/165 65/48
76 ? 49/36 15/11 15/11
77 512/375 175/128 175/128 143/105
78 1000/729 48/35 48/35 48/35
79 ? 135/98 11/8 11/8
80 864/625 112/81 112/81 18/13
81 25/18 25/18 25/18 25/18
82 ? 625/448 384/275 39/28
83 4374/3125 7/5 7/5 7/5
84 45/32 45/32 45/32 45/32
85 78125/55296 343/243 140/99 55/39
86 ? 486/343 99/70 78/55
87 64/45 64/45 64/45 64/45
88 3125/2187 10/7 10/7 10/7
89 ? 735/512 275/192 56/39
90 36/25 36/25 36/25 36/25
91 625/432 81/56 81/56 13/9
92 ? 196/135 16/11 16/11
93 729/500 35/24 35/24 35/24
94 375/256 256/175 256/175 117/80
95 ? 72/49 22/15 22/15
96 4608/3125 189/128 165/112 65/44
97 40/27 40/27 40/27 40/27
98 78125/52488 125/84 125/84 52/35
99 23328/15625 112/75 112/75 112/75
100 3/2 3/2 3/2 3/2
101 15625/10368 675/448 385/256 98/65
102 ? 189/125 50/33 50/33
103 243/160 243/160 121/80 91/60
104 3125/2048 32/21 32/21 32/21
105 ? 49/32 49/32 49/32
106 192/125 192/125 192/125 20/13
107 125/81 54/35 54/35 54/35
108 ? 1215/784 99/64 65/42
109 972/625 14/9 14/9 14/9
110 25/16 25/16 25/16 25/16
111 ? 196/125 196/125 169/108
112 19683/12500 63/40 11/7 11/7
113 128/81 128/81 128/81 128/81
114 31250/19683 100/63 35/22 35/22
115 ? 625/392 625/392 78/49
116 8/5 8/5 8/5 8/5
117 3125/1944 45/28 45/28 45/28
118 ? 392/243 160/99 21/13
119 81/50 81/50 81/50 81/50
120 625/384 512/315 363/224 13/8
121 ? 49/30 18/11 18/11
122 1024/625 105/64 105/64 64/39
123 400/243 288/175 200/121 150/91
124 ? 81/49 33/20 33/20
125 5184/3125 224/135 128/77 108/65
126 5/3 5/3 5/3 5/3
127 78125/46656 375/224 375/224 117/70
128 26244/15625 42/25 42/25 42/25
129 27/16 27/16 27/16 27/16
130 15625/9216 320/189 56/33 22/13
131 ? 245/144 75/44 75/44
132 128/75 128/75 128/75 128/75
133 1250/729 12/7 12/7 12/7
134 ? 441/256 55/32 55/32
135 216/125 140/81 140/81 45/26
136 125/72 125/72 121/70 26/15
137 ? 256/147 96/55 96/55
138 2187/1250 7/4 7/4 7/4
139 225/128 225/128 225/128 160/91
140 ? 432/245 44/25 44/25
141 27648/15625 567/320 99/56 39/22
142 16/9 16/9 16/9 16/9
143 15625/8748 25/14 25/14 25/14
144 ? 224/125 224/125 70/39
145 9/5 9/5 9/5 9/5
146 3125/1728 405/224 231/128 65/36
147 ? 49/27 20/11 20/11
148 729/400 175/96 175/96 91/50
149 1875/1024 64/35 64/35 64/35
150 ? 90/49 11/6 11/6
151 1152/625 448/243 224/121 24/13
152 50/27 50/27 50/27 50/27
153 ? 625/336 297/160 13/7
154 5832/3125 28/15 28/15 28/15
155 15/8 15/8 15/8 15/8
156 78125/41472 1176/625 560/297 49/26
157 59049/31250 189/100 66/35 66/35
158 243/128 243/128 121/64 91/48
159 12500/6561 40/21 21/11 21/11
160 ? 245/128 245/128 143/75
161 48/25 48/25 48/25 25/13
162 625/324 27/14 27/14 27/14
163 ? 784/405 64/33 64/33
164 243/125 35/18 35/18 35/18
165 125/64 125/64 125/64 39/20
166 ? 49/25 49/25 49/25
167 6144/3125 63/32 55/28 55/28
168 160/81 160/81 160/81 77/39
169 78125/39366 125/63 99/50 99/50
170 31104/15625 448/225 448/225 143/72
171 2/1 2/1 2/1 2/1
Retrieved from "https://en.xen.wiki/index.php?title=Table_of_171edo_intervals&oldid=53683"