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Table of 99edo intervals: Difference between revisions

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{| class="wikitable"
This table of [[99edo]] intervals assumes the 99ef val {{val| 99 157 230 278 '''343 367''' 405 421 448 481 }} as tending sharp and 99 patent val {{val| 99 157 230 278 '''342 366''' 405 421 448 481 }} as tending flat. Prime harmonics and subharmonics are labeled in '''bold'''.
 
{| class="wikitable center-1 right-2 center-3"
|-
|-
| | Step
! #
| | Five limit
! Cents
| | Seven limit
! Marks
| | Eleven limit
! 5-limit
| | Thirteen limit
! 7-limit
! 13-limit Extension<br>(Tending Sharp)
! 13-limit Extension<br>(Tending Flat)
! Higher Limit Extension
|-
|-
| | 1
| 0
| | 2048/2025
| 0.00
| | 126/125
| P1
| | 99/98
| colspan="5" | '''1/1'''
| | 91/90
|-
|-
| | 2
| 1
| | 81/80
| 12.{{overline|12}}
| | 64/63
|
| | 55/54
| 2048/2025
| | 55/54
| 126/125
|  
|  
|  
|-
|-
| | 3
| 2
| | 128/125
| 24.{{overline|24}}
| | 49/48
|
| | 49/48
| 81/80
| | 49/48
| 64/63
| 56/55, 66/65, 78/77
| 55/54, 66/65, 78/77
| 58/57, 69/68, 70/69, 76/75
|-
|-
| | 4
| 3
| | 250/243
| 36.{{overline|36}}
| | 36/35
|
| | 33/32
| 128/125
| | 33/32
| 49/48, 50/49
| 40/39, 45/44, 55/54
| 56/55
| 46/45, 51/50, 57/56
|-
|-
| | 5
| 4
| | 648/625
| 48.{{overline|48}}
| | 28/27
|
| | 28/27
| 250/243
| | 26/25
| 36/35
|  
| 33/32, 40/39, 45/44
| 35/34
|-
|-
| | 6
| 5
| | 25/24
| 60.{{overline|60}}
| | 25/24
|
| | 22/21
| 648/625
| | 22/21
| 28/27
| 27/26, 33/32
| 26/25
| 29/28, 30/29
|-
|-
| | 7
| 6
| | 256/243
| 72.{{overline|72}}
| | 21/20
|
| | 21/20
| 25/24
| | 21/20
| 26/25
|  
| 22/21, 27/26
| 24/23
|-
|-
| | 8
| 7
| | 135/128
| 84.{{overline|84}}
| | 135/128
| m2
| | 81/77
| 256/243
| | 52/49
| 21/20
| 22/21
|  
| 20/19
|-
|-
| | 9
| 8
| | 16/15
| 96.{{overline|96}}
| | 16/15
|
| | 16/15
| 135/128
| | 16/15
| "
|  
|  
| 18/17, 19/18
|-
|-
| | 10
| 9
| | 2187/2048
| 109.{{overline|09}}
| | 15/14
|
| | 15/14
| 16/15
| | 15/14
| "
|  
|  
| '''17/16'''
|-
|-
| | 11
| 10
| | 27/25
| 121.{{overline|21}}
| | 27/25
|
| | 27/25
| 2187/2048
| | 13/12
| 15/14
| 14/13
|  
| 29/27
|-
|-
| | 12
| 11
| | 625/576
| 133.{{overline|33}}
| | 49/45
|
| | 49/45
| 27/25
| | 49/45
| "
|  
| 13/12, 14/13
|  
|-
|-
| | 13
| 12
| | 800/729
| 145.{{overline|45}}
| | 35/32
|
| | 11/10
| 625/576
| | 11/10
| 49/45
| 12/11, 13/12
|  
|  
|-
|-
| | 14
| 13
| | 1125/1024
| 157.{{overline|57}}
| | 54/49
|
| | 54/49
| 800/729
| | 54/49
| 35/32
|  
| 11/10, 12/11
| 23/21
|-
|-
| | 15
| 14
| | 10/9
| 169.{{overline|69}}
| | 10/9
|
| | 10/9
| 1125/1024
| | 10/9
| 54/49
| 11/10
|  
| 21/19, '''32/29'''
|-
|-
| | 16
| 15
| | 4096/3645
| 181.{{overline|81}}
| | 28/25
|
| | 28/25
| 10/9
| | 28/25
| "
|  
|  
|  
|-
|-
| | 17
| 16
| | 9/8
| 193.{{overline|93}}
| | 9/8
|
| | 9/8
| 4096/3645
| | 9/8
| 28/25
|  
|  
| 19/17
|-
|-
| | 18
| 17
| | 256/225
| 206.{{overline|06}}
| | 245/216
| M2
| | 112/99
| 9/8
| | 91/80
| "
|  
|  
|  
|-
|-
| | 19
| 18
| | 729/640
| 218.{{overline|18}}
| | 8/7
|
| | 8/7
| 256/225
| | 8/7
| 245/216
| 25/22
|  
| 17/15
|-
|-
| | 20
| 19
| | 144/125
| 230.{{overline|30}}
| | 144/125
|
| | 63/55
| 729/640
| | 52/45
| '''8/7'''
|  
| 25/22
|  
|-
|-
| | 21
| 20
| | 125/108
| 242.{{overline|42}}
| | 81/70
|
| | 81/70
| 144/125
| | 15/13
| "
| 15/13
|  
| 23/20
|-
|-
| | 22
| 21
| | 729/625
| 254.{{overline|54}}
| | 7/6
|
| | 7/6
| 125/108
| | 7/6
| 81/70
|  
| 15/13
|  
|-
|-
| | 23
| 22
| | 75/64
| 266.{{overline|66}}
| | 75/64
|
| | 33/28
| 729/625
| | 33/28
| 7/6
|  
|  
|  
|-
|-
| | 24
| 23
| | 32/27
| 278.{{overline|78}}
| | 32/27
|
| | 32/27
| 75/64
| | 13/11
| "
|  
| 33/28
| 20/17, 27/23, 34/29
|-
|-
| | 25
| 24
| | 1215/1024
| 290.{{overline|90}}
| | 25/21
| m3
| | 25/21
| 32/27
| | 25/21
| "
| 13/11, 33/28
| 13/11
|  
|-
|-
| | 26
| 25
| | 6/5
| 303.{{overline|03}}
| | 6/5
|
| | 6/5
| 1215/1024
| | 6/5
| 25/21
|  
|  
| '''19/16'''
|-
|-
| | 27
| 26
| | 3125/2592
| 315.{{overline|15}}
| | 98/81
|
| | 98/81
| 6/5
| | 91/75
| "
|  
|  
|  
|-
|-
| | 28
| 27
| | 243/200
| 327.{{overline|27}}
| | 128/105
|
| | 11/9
| 3125/2592
| | 11/9
| 98/81
| 40/33
|  
| 23/19, 29/24
|-
|-
| | 29
| 28
| | 625/512
| 339.{{overline|39}}
| | 49/40
|
| | 49/40
| 243/200
| | 49/40
| 128/105
|  
| 11/9, 39/32, 40/33
| 17/14, 28/23
|-
|-
| | 30
| 29
| | 100/81
| 351.{{overline|51}}
| | 100/81
|
| | 27/22
| 625/512
| | 16/13
| 49/40, 60/49
| 11/9, '''16/13''', 27/22, 39/32
|  
|  
|-
|-
| | 31
| 30
| | 3888/3125
| 363.{{overline|63}}
| | 56/45
|
| | 56/45
| 100/81
| | 56/45
| "
|  
| '''16/13''', 26/21, 27/22
| 21/17
|-
|-
| | 32
| 31
| | 5/4
| 375.{{overline|75}}
| | 5/4
|
| | 5/4
| 3888/3125
| | 5/4
| 56/45
| 26/21
|  
| 36/29
|-
|-
| | 33
| 32
| | 512/405
| 387.{{overline|87}}
| | 63/50
|
| | 63/50
| '''5/4'''
| | 49/39
| "
|  
|  
|  
|-
|-
| | 34
| 33
| | 81/64
| 400.00
| | 80/63
|
| | 80/63
| 512/405
| | 33/26
| 63/50
|  
|  
| 24/19, 29/23
|-
|-
| | 35
| 34
| | 32/25
| 412.{{overline|12}}
| | 32/25
| M3
| | 14/11
| 81/64
| | 14/11
| 80/63
| 14/11, 33/26
| 33/26
| 19/15
|-
|-
| | 36
| 35
| | 625/486
| 424.{{overline|24}}
| | 9/7
|
| | 9/7
| 32/25
| | 9/7
| "
|  
| 14/11
| 23/18
|-
|-
| | 37
| 36
| | 162/125
| 436.{{overline|36}}
| | 35/27
|
| | 35/27
| 625/486
| | 13/10
| 9/7
|  
|  
|  
|-
|-
| | 38
| 37
| | 125/96
| 448.{{overline|48}}
| | 64/49
|
| | 55/42
| 162/125
| | 55/42
| 35/27
|  
| 13/10
|  
|-
|-
| | 39
| 38
| | 320/243
| 460.{{overline|60}}
| | 21/16
|
| | 21/16
| 125/96
| | 21/16
| 64/49
| 13/10
|  
| 30/23
|-
|-
| | 40
| 39
| | 675/512
| 472.{{overline|72}}
| | 250/189
|
| | 250/189
| 320/243
| | 65/49
| 21/16
|  
| 33/25
| 38/29
|-
|-
| | 41
| 40
| | 4/3
| 484.{{overline|84}}
| | 4/3
|
| | 4/3
| 675/512
| | 4/3
| 250/189
| 33/25
|  
|  
|-
|-
| | 42
| 41
| | 8192/6075
| 496.{{overline|96}}
| | 75/56
| P4
| | 66/49
| '''4/3'''
| | 66/49
| "
|  
|  
|  
|-
|-
| | 43
| 42
| | 27/20
| 509.{{overline|09}}
| | 27/20
|
| | 27/20
| 8192/6075
| | 27/20
| 75/56
|  
|  
| 51/38
|-
|-
| | 44
| 43
| | 512/375
| 521.{{overline|21}}
| | 49/36
|
| | 49/36
| 27/20
| | 49/36
| "
|  
|  
| 23/17
|-
|-
| | 45
| 44
| | 1000/729
| 533.{{overline|33}}
| | 48/35
|
| | 11/8
| 512/375
| | 11/8
| 49/36
| 15/11
|  
|  
|-
|-
| | 46
| 45
| | 864/625
| 545.{{overline|45}}
| | 112/81
|
| | 112/81
| 1000/729
| | 91/66
| 48/35
|  
| '''11/8''', 15/11
|  
|-
|-
| | 47
| 46
| | 25/18
| 557.{{overline|57}}
| | 25/18
|
| | 25/18
| 864/625
| | 18/13
| 112/81
| '''11/8''', 18/13
|  
| 29/21, 40/29
|-
|-
| | 48
| 47
| | 1024/729
| 569.{{overline|69}}
| | 7/5
|
| | 7/5
| 25/18
| | 7/5
| "
|  
| 18/13
| '''32/23'''
|-
|-
| | 49
| 48
| | 45/32
| 581.{{overline|81}}
| | 45/32
| d5
| | 45/32
| 1024/729
| | 45/32
| 7/5
|  
|  
|  
|-
|-
| | 50
| 49
| | 64/45
| 593.{{overline|93}}
| | 64/45
|
| | 64/45
| 45/32
| | 64/45
| "
|  
|  
| 24/17, 38/27
|-
|-
| | 51
| 50
| | 729/512
| 606.{{overline|06}}
| | 10/7
|
| | 10/7
| 64/45
| | 10/7
| "
|  
|  
| 17/12, 27/19
|-
|-
| | 52
| 51
| | 36/25
| 618.{{overline|18}}
| | 36/25
| A4
| | 36/25
| 729/512
| | 13/9
| 10/7
|  
|  
|  
|-
|-
| | 53
| 52
| | 625/432
| 630.{{overline|30}}
| | 81/56
|
| | 81/56
| 36/25
| | 75/52
| "
|  
| 13/9
| '''23/16'''
|-
|-
| | 54
| 53
| | 729/500
| 642.{{overline|42}}
| | 35/24
|
| | 16/11
| 625/432
| | 16/11
| 81/56
| '''16/11'''
|  
| 29/20, 42/29
|-
|-
| | 55
| 54
| | 375/256
| 654.{{overline|54}}
| | 72/49
|
| | 72/49
| 729/500
| | 72/49
| 35/24
|  
| '''16/11''', 22/15
|  
|-
|-
| | 56
| 55
| | 40/27
| 666.{{overline|66}}
| | 40/27
|
| | 40/27
| 375/256
| | 40/27
| 72/49
| 22/15
|  
|  
|-
|-
| | 57
| 56
| | 6075/4096
| 678.{{overline|78}}
| | 112/75
|
| | 49/33
| 40/27
| | 49/33
| "
|  
|  
| 34/23
|-
|-
| | 58
| 57
| | 3/2
| 690.{{overline|90}}
| | 3/2
|
| | 3/2
| 6075/4096
| | 3/2
| 112/75
|  
|  
| 76/51
|-
|-
| | 59
| 58
| | 1024/675
| 703.{{overline|03}}
| | 189/125
| P5
| | 189/125
| '''3/2'''
| | 91/60
| "
|  
|  
|  
|-
|-
| | 60
| 59
| | 243/160
| 715.{{overline|15}}
| | 32/21
|
| | 32/21
| 1024/675
| | 32/21
| 189/125
| 50/33
|  
|  
|-
|-
| | 61
| 60
| | 192/125
| 727.{{overline|27}}
| | 49/32
|
| | 49/32
| 243/160
| | 49/32
| 32/21
|  
| 50/33
| 29/19
|-
|-
| | 62
| 61
| | 125/81
| 739.{{overline|39}}
| | 54/35
|
| | 54/35
| 192/125
| | 20/13
| 49/32
| 20/13
|  
| 23/15
|-
|-
| | 63
| 62
| | 972/625
| 751.{{overline|51}}
| | 14/9
|
| | 14/9
| 125/81
| | 14/9
| 54/35
|  
| 20/13
|  
|-
|-
| | 64
| 63
| | 25/16
| 763.{{overline|63}}
| | 25/16
|
| | 11/7
| 972/625
| | 11/7
| 14/9
|  
|  
|  
|-
|-
| | 65
| 64
| | 128/81
| 775.{{overline|75}}
| | 63/40
|
| | 63/40
| 25/16
| | 52/33
| "
|  
| 11/7
| 36/23
|-
|-
| | 66
| 65
| | 405/256
| 787.{{overline|87}}
| | 100/63
| m6
| | 100/63
| 128/81
| | 78/49
| 63/40
| 11/7, 52/33
| 52/33
|  
|-
|-
| | 67
| 66
| | 8/5
| 800.00
| | 8/5
|
| | 8/5
| 405/256
| | 8/5
| 100/63
|  
|  
| 27/17, 46/29
|-
|-
| | 68
| 67
| | 3125/1944
| 812.{{overline|12}}
| | 45/28
|
| | 45/28
| '''8/5'''
| | 45/28
| "
|  
|  
|  
|-
|-
| | 69
| 68
| | 81/50
| 824.{{overline|24}}
| | 81/50
|
| | 44/27
| 3125/1944
| | 13/8
| 45/28
| 21/13
|  
| 29/18
|-
|-
| | 70
| 69
| | 625/384
| 836.{{overline|36}}
| | 49/30
|
| | 49/30
| 81/50
| | 49/30
| "
|  
| '''13/8''', 21/13, 44/27
| 34/21
|-
|-
| | 71
| 70
| | 400/243
| 848.{{overline|48}}
| | 105/64
|
| | 18/11
| 625/384
| | 18/11
| 49/30, 80/49
| '''13/8''', 18/11, 44/27, 64/39
|  
|  
|-
|-
| | 72
| 71
| | 3375/2048
| 860.{{overline|60}}
| | 81/49
|
| | 81/49
| 400/243
| | 81/49
| 105/64
|  
| 18/11, 33/20, 64/39
| 28/17, 23/14
|-
|-
| | 73
| 72
| | 5/3
| 872.{{overline|72}}
| | 5/3
|
| | 5/3
| 3375/2048
| | 5/3
| 81/49
| 33/20
|  
| 38/23, 48/29
|-
|-
| | 74
| 73
| | 2048/1215
| 884.{{overline|84}}
| | 42/25
|
| | 42/25
| 5/3
| | 42/25
| "
|  
|  
|  
|-
|-
| | 75
| 74
| | 27/16
| 896.{{overline|96}}
| | 27/16
|
| | 27/16
| 2048/1215
| | 22/13
| 42/25
|  
|  
| '''32/19'''
|-
|-
| | 76
| 75
| | 128/75
| 909.{{overline|09}}
| | 128/75
| M6
| | 56/33
| 27/16
| | 56/33
| "
| 22/13, 56/33
| 22/13
|  
|-
|-
| | 77
| 76
| | 1250/729
| 921.{{overline|21}}
| | 12/7
|
| | 12/7
| 128/75
| | 12/7
| "
|  
| 56/33
| 17/10, 29/17, 46/27
|-
|-
| | 78
| 77
| | 216/125
| 933.{{overline|33}}
| | 140/81
|
| | 140/81
| 1250/729
| | 26/15
| 12/7
|  
|  
|  
|-
|-
| | 79
| 78
| | 125/72
| 945.{{overline|45}}
| | 125/72
|
| | 110/63
| 216/125
| | 45/26
| 140/81
|  
| 26/15
|  
|-
|-
| | 80
| 79
| | 1280/729
| 957.{{overline|57}}
| | 7/4
|
| | 7/4
| 125/72
| | 7/4
| 26/15
|  
|  
| 40/23
|-
|-
| | 81
| 80
| | 225/128
| 969.{{overline|69}}
| | 225/128
|
| | 99/56
| 1280/729
| | 99/56
| '''7/4'''
|  
| 44/25
|  
|-
|-
| | 82
| 81
| | 16/9
| 981.{{overline|81}}
| | 16/9
|
| | 16/9
| 225/128
| | 16/9
| "
| 44/25
|  
| 30/17
|-
|-
| | 83
| 82
| | 3645/2048
| 993.{{overline|93}}
| | 25/14
| m7
| | 25/14
| 16/9
| | 25/14
| "
|  
|  
|  
|-
|-
| | 84
| 83
| | 9/5
| 1006.{{overline|06}}
| | 9/5
|
| | 9/5
| 3645/2048
| | 9/5
| 25/14
|  
|  
| 34/19
|-
|-
| | 85
| 84
| | 2048/1125
| 1018.{{overline|18}}
| | 49/27
|
| | 49/27
| 9/5
| | 49/27
| "
|  
|  
|  
|-
|-
| | 86
| 85
| | 729/400
| 1030.{{overline|30}}
| | 64/35
|
| | 11/6
| 2048/1125
| | 11/6
| 49/27
| 20/11
|  
| '''29/16'''
|-
|-
| | 87
| 86
| | 1152/625
| 1042.{{overline|42}}
| | 90/49
|
| | 90/49
| 729/400
| | 90/49
| 64/35
|  
| 11/6, 20/11
| 42/23
|-
|-
| | 88
| 87
| | 50/27
| 1054.{{overline|54}}
| | 50/27
|
| | 50/27
| 1152/625
| | 13/7
| 90/49
| 11/6, 24/13
|  
|  
|-
|-
| | 89
| 88
| | 4096/2187
| 1066.{{overline|66}}
| | 28/15
|
| | 28/15
| 50/27
| | 28/15
| "
|  
| 13/7, 24/13
|  
|-
|-
| | 90
| 89
| | 15/8
| 1078.{{overline|78}}
| | 15/8
|
| | 15/8
| 4096/2187
| | 15/8
| 28/15
| 13/7
|  
| 54/29
|-
|-
| | 91
| 90
| | 256/135
| 1090.{{overline|90}}
| | 189/100
|
| | 154/81
| 15/8
| | 49/26
| "
|  
|  
| '''32/17'''
|-
|-
| | 92
| 91
| | 243/128
| 1103.{{overline|03}}
| | 40/21
|
| | 40/21
| 256/135
| | 40/21
| 189/100
|  
|  
| 17/9, 36/19
|-
|-
| | 93
| 92
| | 48/25
| 1115.{{overline|15}}
| | 48/25
| M7
| | 21/11
| 243/128
| | 21/11
| 40/21
|  
|  
| 19/10
|-
|-
| | 94
| 93
| | 625/324
| 1127.{{overline|27}}
| | 27/14
|
| | 27/14
| 48/25
| | 25/13
| "
| 25/13
| 52/27
| 23/12
|-
|-
| | 95
| 94
| | 243/125
| 1139.{{overline|39}}
| | 35/18
|
| | 35/18
| 625/324
| | 35/18
| 27/14
| 52/27, 64/33
| 25/13
| 29/15, 56/29
|-
|-
| | 96
| 95
| | 125/64
| 1151.{{overline|51}}
| | 49/25
|
| | 49/25
| 243/125
| | 49/25
| 35/18
|  
| 39/20, 64/33, 88/45
|  
|-
|-
| | 97
| 96
| | 160/81
| 1163.{{overline|63}}
| | 63/32
|
| | 63/32
| 125/64
| | 63/32
| 49/25, 96/49
| 39/20, 88/45, 108/55
| 55/28
| 45/23, 100/51, 112/57
|-
|-
| | 98
| 97
| | 2025/1024
| 1175.{{overline|75}}
| | 125/63
|
| | 125/63
| 160/81
| | 125/63
| 63/32
| 55/28, 65/33, 77/39
| 65/33, 77/39, 108/55
| 57/29, 69/35, 75/38, 136/69
|-
|-
| | 99
| 98
| | 2/1
| 1187.{{overline|87}}
| | 2/1
|
| | 2/1
| 2025/1024
| | 2/1
| 125/63
|
|
|
|-
| 99
| 1200.00
| P8
| colspan="5" | '''2/1'''
|}
|}
[[category:interval list]]
 
[[Category:Tables of edo intervals]]
[[Category:99edo]]
[[Category:5-limit]]
[[Category:7-limit]]
Retrieved from "https://en.xen.wiki/w/Table_of_99edo_intervals"