View source for Table of 198edo intervals

This '''table of [[198edo]] intervals''' assumes [[13-limit]] [[patent val]] {{val| 198 314 460 556 685 733 }}. 

Intervals highlighted in '''bold''' are prime harmonics or subharmonics. Note that no 7-limit interval can be represented by odd degrees, so those entries are left blank. 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%, or with odd limit over 729 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"
|-
! #
! Cents
! Marks
! 5-limit
! 7-limit
! 11-limit
! 13-limit
|-
| 0
| 0.00
| P1
| colspan="4" | '''[[1/1]]'''
|-
| 1
| 6.{{overline|06}}
|
| 
| 
| [[385/384]], [[441/440]], [[540/539]]
| [[196/195]], [[325/324]], [[364/363]]
|-
| 2
| 12.{{overline|12}}
|
| ?
| [[126/125]]
| [[121/120]], [[176/175]]
| [[144/143]]
|-
| 3
| 18.{{overline|18}}
|
| 
| 
| [[99/98]], [[100/99]]
| [[91/90]], [[105/104]]
|-
| 4
| 24.{{overline|24}}
|
| [[81/80]]
| [[64/63]]
| "
| [[66/65]], [[78/77]]
|-
| 5
| 30.{{overline|30}}
|
| 
| 
| [[55/54]], [[56/55]]
| "
|-
| 6
| 36.{{overline|36}}
|
| ''[[128/125]]''
| [[49/48]], [[50/49]]
| "
| "
|-
| 7
| 42.{{overline|42}}
|
| 
| 
| ''[[45/44]]''
| [[40/39]]
|-
| 8
| 48.{{overline|48}}
|
| [[250/243]]
| [[36/35]]
| "
| "
|-
| 9
| 54.{{overline|54}}
|
| 
| 
| [[33/32]]
| "
|-
| 10
| 60.{{overline|60}}
|
| [[648/625]]
| [[28/27]]
| "
| "
|-
| 11
| 66.{{overline|66}}
|
| 
| 
| [[80/77]]
| [[26/25]], [[27/26]]
|-
| 12
| 72.{{overline|72}}
|
| [[25/24]]
| "
| "
| "
|-
| 13
| 78.{{overline|78}}
|
| 
| 
| [[22/21]]
| "
|-
| 14
| 84.{{overline|84}}
| m2
| ''[[256/243]]''
| [[21/20]]
| "
| "
|-
| 15
| 90.{{overline|90}}
|
| 
| 
| 539/512
| 96/91
|-
| 16
| 96.{{overline|96}}
|
| ''[[135/128]]''
| 200/189
| [[128/121]]
| [[55/52]]
|-
| 17
| 103.{{overline|03}}
|
| 
| 
| [[35/33]]
| [[52/49]]
|-
| 18
| 109.{{overline|09}}
|
| [[16/15]]
| "
| "
| "
|-
| 19
| 115.{{overline|15}}
|
| 
| 
| [[77/72]]
| "
|-
| 20
| 121.{{overline|21}}
|
| ?
| [[15/14]]
| "
| "
|-
| 21
| 127.{{overline|27}}
|
| 
| 
| 264/245, 320/297
| [[14/13]]
|-
| 22
| 133.{{overline|33}}
|
| [[27/25]]
| "
| "
| "
|-
| 23
| 139.{{overline|39}}
|
| 
| 
| ''[[88/81]]''
| [[13/12]]
|-
| 24
| 145.{{overline|45}}
|
| ''625/576''
| [[49/45]]
| "
| "
|-
| 25
| 151.{{overline|51}}
|
| 
| 
| [[12/11]]
| "
|-
| 26
| 157.{{overline|57}}
|
| ''800/729''
| [[35/32]]
| "
| "
|-
| 27
| 163.{{overline|63}}
|
| 
| 
| [[11/10]]
| "
|-
| 28
| 169.{{overline|69}}
|
| ?
| [[54/49]]
| "
| "
|-
| 29
| 175.{{overline|75}}
|
| 
| 
| 256/231
| 72/65
|-
| 30
| 181.{{overline|81}}
|
| [[10/9]]
| "
| "
| "
|-
| 31
| 187.{{overline|87}}
|
| 
| 
| 49/44
| 39/35
|-
| 32
| 193.{{overline|93}}
|
| ?
| [[28/25]]
| "
| "
|-
| 33
| 200.00
|
| 
| 
| [[55/49]]
| "
|-
| 34
| 206.{{overline|06}}
| M2
| [[9/8]]
| "
| "
| "
|-
| 35
| 212.{{overline|12}}
|
| 
| 
| 112/99
| "
|-
| 36
| 218.{{overline|18}}
|
| ''[[256/225]]''
| 245/216
| "
| 143/126, 162/143
|-
| 37
| 224.{{overline|24}}
|
| 
| 
| [[25/22]]
| "
|-
| 38
| 230.{{overline|30}}
|
| ''729/640''
| '''[[8/7]]'''
| "
| "
|-
| 39
| 236.{{overline|36}}
|
| 
| 
| [[55/48]]
| "
|- 
| 40
| 242.{{overline|42}}
|
| [[144/125]]
| "
| "
| "
|-
| 41
| 248.{{overline|48}}
|
| 
| 
| 231/200
| [[15/13]]
|-
| 42
| 254.{{overline|54}}
|
| 125/108
| [[81/70]]
| "
| "
|-
| 43
| 260.{{overline|60}}
|
| 
| 
| [[64/55]]
| "
|-
| 44
| 266.{{overline|66}}
|
| ?
| [[7/6]]
| "
| "
|-
| 45
| 272.{{overline|72}}
|
| 
| 
| 90/77
| "
|-
| 46
| 278.{{overline|78}}
|
| ''[[75/64]]''
| 147/125, 288/245
| "
| 168/143
|-
| 47
| 284.{{overline|84}}
|
| 
| 
| [[33/28]]
| "
|-
| 48
| 290.{{overline|90}}
| m3
| ''[[32/27]]''
| [[189/160]]
| "
| [[13/11]]
|-
| 49
| 296.{{overline|96}}
|
| 
| 
| 196/165
| 108/91
|-
| 50
| 303.{{overline|03}}
|
| ?
| [[25/21]]
| "
| "
|-
| 51
| 309.{{overline|09}}
|
| 
| 
| 176/147
| 117/98, 140/117
|-
| 52
| 315.{{overline|15}}
|
| [[6/5]]
| "
| "
| "
|-
| 53
| 321.{{overline|21}}
|
| 
| 
| 77/64
| 65/54
|-
| 54
| 327.{{overline|27}}
|
| ?
| 98/81
| "
| "
|-
| 55
| 333.{{overline|33}}
|
| 
| 
| [[40/33]]
| [[63/52]]
|-
| 56
| 339.{{overline|39}}
|
| 243/200
| 175/144
| 147/121
| "
|-
| 57
| 345.{{overline|45}}
|
| 
| 
| [[11/9]]
| [[39/32]]
|-
| 58
| 351.{{overline|51}}
|
| ''768/625''
| [[49/40]], [[60/49]]
| "
| "
|-
| 59
| 357.{{overline|57}}
|
| 
| 
| [[27/22]]
| '''[[16/13]]'''
|-
| 60
| 363.{{overline|63}}
|
| 100/81
| 216/175
| 121/98
| "
|-
| 61
| 369.{{overline|69}}
|
| 
| 
| 99/80
| [[26/21]]
|-
| 62
| 375.{{overline|75}}
|
| ?
| [[56/45]]
| "
| "
|-
| 63
| 381.{{overline|81}}
|
| 
| 
| 96/77
| 81/65, 125/78
|-
| 64
| 387.{{overline|87}}
|
| '''[[5/4]]'''
| "
| "
| "
|-
| 65
| 393.{{overline|93}}
|
| 
| 
| [[44/35]]
| 49/39
|-
| 66
| 400.00
|
| ''512/405''
| [[63/50]]
| "
| "
|-
| 67
| 406.{{overline|06}}
|
| 
| 
| 125/99
| 91/72
|-
| 68
| 412.{{overline|12}}
| M3
| ''[[81/64]]''
| [[80/63]]
| "
| [[33/26]]
|-
| 69
| 418.{{overline|18}}
|
| 
| 
| [[14/11]]
| "
|-
| 70
| 424.{{overline|24}}
|
| ''[[32/25]]''
| 125/98
| "
| "
|-
| 71
| 430.{{overline|30}}
|
| 
| 
| 77/60
| 50/39
|-
| 72
| 436.{{overline|36}}
|
| 625/486
| [[9/7]]
| "
| "
|-
| 73
| 442.{{overline|42}}
|
| 
| 
| [[128/99]]
| 84/65
|-
| 74
| 448.{{overline|48}}
|
| 162/125
| [[35/27]]
| "
| "
|-
| 75
| 454.{{overline|54}}
|
| 
| 
| 100/77
| [[13/10]]
|-
| 76
| 460.{{overline|60}}
|
| ''125/96''
| [[64/49]]
| "
| "
|-
| 77
| 466.{{overline|66}}
|
| 
| 
| 55/42, 72/55
| "
|-
| 78
| 472.{{overline|72}}
|
| ''320/243''
| [[21/16]]
| "
| "
|-
| 79
| 478.{{overline|78}}
|
| 
| 
| [[33/25]]
| "
|-
| 80
| 484.{{overline|84}}
|
| ?
| 250/189
| 160/121
| 143/108, 189/143, 224/169
|-
| 81
| 490.{{overline|90}}
|
| 
| 
| 175/132
| 65/49
|-
| 82
| 496.{{overline|96}}
| P4
| '''[[4/3]]'''
| "
| "
| "
|-
| 83
| 503.{{overline|03}}
|
| 
| 
| 147/110
| 234/175
|-
| 84
| 509.{{overline|09}}
|
| ?
| ''[[75/56]]'', 168/125
| "
| "
|-
| 85
| 515.{{overline|15}}
|
| 
| 
| 66/49
| 35/26
|-
| 86
| 521.{{overline|21}}
|
| [[27/20]]
| "
| "
| "
|-
| 87
| 527.{{overline|27}}
|
| 
| 
| 110/81
| 65/48
|-
| 88
| 533.{{overline|33}}
|
| ''512/375''
| [[49/36]]
| "
| "
|-
| 89
| 539.{{overline|39}}
|
| 
| 
| [[15/11]]
| "
|-
| 90
| 545.{{overline|45}}
|
| 1000/729
| [[48/35]]
| "
| "
|-
| 91
| 551.{{overline|51}}
|
| 
| 
| '''[[11/8]]'''
| "
|-
| 92
| 557.{{overline|57}}
|
| ''864/625''
| ''[[112/81]]''
| "
| 91/66
|-
| 93
| 563.{{overline|63}}
|
| 
| 
| 320/231
| [[18/13]]
|-
| 94
| 569.{{overline|69}}
|
| [[25/18]]
| "
| "
| "
|-
| 95
| 575.{{overline|75}}
|
| 
| 
| 88/63
| 39/28
|-
| 96
| 581.{{overline|81}}
| d5
| ?
| [[7/5]]
| "
| "
|-
| 97
| 587.{{overline|87}}
|
| 
| 
| 108/77
| "
|-
| 98
| 593.{{overline|93}}
|
| ''[[45/32]]''
| 343/243
| 484/343
| 55/39
|-
| 99
| 600.00
|
| 
| 
| [[99/70]], [[140/99]]
| "
|-
| 100
| 606.{{overline|06}}
|
| ''[[64/45]]''
| 486/343
| 343/242
| 78/55
|-
| 101
| 612.{{overline|12}}
|
| 
| 
| 77/54
| "
|-
| 102
| 618.{{overline|18}}
| A4
| ?
| [[10/7]]
| "
| "
|-
| 103
| 624.{{overline|24}}
|
| 
| 
| 63/44
| 56/39
|-
| 104
| 630.{{overline|30}}
|
| [[36/25]]
| "
| "
| "
|-
| 105
| 636.{{overline|36}}
|
| 
| 
| 231/160
| [[13/9]]
|-
| 106
| 642.{{overline|42}}
|
| ''625/432''
| ''[[81/56]]''
| "
| 132/91
|-
| 107
| 648.{{overline|48}}
|
| 
| 
| '''[[16/11]]'''
| "
|-
| 108
| 654.{{overline|54}}
|
| 729/500
| [[35/24]]
| "
| "
|-
| 109
| 660.{{overline|60}}
|
| 
| 
| [[22/15]]
| "
|-
| 110
| 666.{{overline|66}}
|
| ''375/256''
| [[72/49]]
| "
| "
|-
| 111
| 672.{{overline|72}}
|
| 
| 
| 81/55
| 96/65
|-
| 112
| 678.{{overline|78}}
|
| [[40/27]]
| "
| "
| "
|-
| 113
| 684.{{overline|84}}
|
| 
| 
| 49/33
| 52/35
|-
| 114
| 690.{{overline|90}}
|
| ?
| ''[[112/75]]'', 125/84
| "
| "
|-
| 115
| 696.{{overline|96}}
|
| 
| 
| 220/147
| 175/117
|-
| 116
| 703.{{overline|03}}
| P5
| '''[[3/2]]'''
| "
| "
| "
|-
| 117
| 709.{{overline|09}}
|
| 
| 
| 264/175
| 98/65
|-
| 118
| 715.{{overline|15}}
|
| ?
| 189/125
| 121/80
| 169/112, 216/143, 286/189
|-
| 119
| 721.{{overline|21}}
|
| 
| 
| [[50/33]]
| "
|-
| 120
| 727.{{overline|27}}
|
| ''243/160''
| [[32/21]]
| "
| "
|-
| 121
| 733.{{overline|33}}
|
| 
| 
| 55/36, 84/55
| "
|-
| 122
| 739.{{overline|39}}
|
| ''192/125''
| [[49/32]]
| "
| "
|-
| 123
| 745.{{overline|45}}
|
| 
| 
| 77/50
| [[20/13]]
|-
| 124
| 751.{{overline|51}}
|
| 125/81
| [[54/35]]
| "
| "
|-
| 125
| 757.{{overline|57}}
|
| 
| 
| [[99/64]]
| 65/42
|-
| 126
| 763.{{overline|63}}
|
| 972/625
| [[14/9]]
| "
| "
|-
| 127
| 769.{{overline|69}}
|
| 
| 
| 120/77
| 39/25
|-
| 128
| 775.{{overline|75}}
|
| ''[[25/16]]''
| 196/125
| "
| "
|-
| 129
| 781.{{overline|81}}
|
| 
| 
| [[11/7]]
| "
|-
| 130
| 787.{{overline|87}}
| m6
| ''[[128/81]]''
| [[63/40]]
| "
| [[52/33]]
|-
| 131
| 793.{{overline|93}}
|
| 
| 
| 198/125
| 144/91
|-
| 132
| 800.00
|
| ''405/256''
| [[100/63]]
| "
| "
|-
| 133
| 806.{{overline|06}}
|
| 
| 
| [[35/22]]
| "
|-
| 134
| 812.{{overline|12}}
|
| '''[[8/5]]'''
| "
| "
| "
|-
| 135
| 818.{{overline|18}}
|
| 
| 
| 77/48
| 125/78, 130/81
|-
| 136
| 824.{{overline|24}}
|
| ?
| [[45/28]]
| "
| "
|-
| 137
| 830.{{overline|30}}
|
| 
| 
| [[160/99]]
| [[21/13]]
|-
| 138
| 836.{{overline|36}}
|
| 81/50
| 175/108
| 196/121
| "
|-
| 139
| 842.{{overline|42}}
|
| 
| 
| [[44/27]]
| '''[[13/8]]'''
|-
| 140
| 848.{{overline|48}}
|
| ''625/384''
| [[49/30]], [[80/49]]
| "
| "
|-
| 141
| 854.{{overline|54}}
|
| 
| 
| [[18/11]]
| [[64/39]]
|-
| 142
| 860.{{overline|60}}
|
| 400/243
| 288/175
| 242/147
| "
|-
| 143
| 866.{{overline|66}}
|
| 
| 
| [[33/20]]
| [[104/63]]
|-
| 144
| 872.{{overline|72}}
|
| ?
| [[81/49]]
| "
| "
|-
| 145
| 878.{{overline|78}}
|
| 
| 
| 128/77
| 108/65
|-
| 146
| 884.{{overline|84}}
|
| [[5/3]]
| "
| "
| "
|-
| 147
| 890.{{overline|90}}
|
| 
| 
| 147/88
| 117/70, 196/117
|-
| 148
| 896.{{overline|96}}
|
| ?
| [[42/25]]
| "
| "
|-
| 149
| 903.{{overline|03}}
|
| 
| 
| 165/98
| 91/54
|-
| 150
| 909.{{overline|09}}
| M6
| ''[[27/16]]''
| [[320/189]]
| "
| [[22/13]]
|-
| 151
| 915.{{overline|15}}
|
| 
| 
| [[56/33]]
| "
|-
| 152
| 921.{{overline|21}}
|
| ''[[128/75]]''
| 245/144, 250/147
| "
| 143/84
|-
| 153
| 927.{{overline|27}}
|
| 
| 
| 77/45
| "
|-
| 154
| 933.{{overline|33}}
|
| ?
| [[12/7]]
| "
| "
|-
| 155
| 939.{{overline|39}}
|
| 
| 
| [[55/32]]
| "
|-
| 156
| 945.{{overline|45}}
|
| 216/125
| [[140/81]]
| [[121/70]]
| "
|-
| 157
| 951.{{overline|51}}
|
| 
| 
| 343/198, 400/231
| [[26/15]]
|-
| 158
| 957.{{overline|57}}
|
| [[125/72]]
| "
| "
| "
|-
| 159
| 963.{{overline|63}}
|
| 
| 
| [[96/55]]
| "
|-
| 160
| 969.{{overline|69}}
|
| ''1280/729''
| '''[[7/4]]'''
| "
| "
|-
| 161
| 975.{{overline|75}}
|
| 
| 
| [[44/25]]
| "
|-
| 162
| 981.{{overline|81}}
|
| ''[[225/128]]''
| 432/245
| "
| 143/81, 252/143
|-
| 163
| 987.{{overline|87}}
|
| 
| 
| 99/56
| "
|-
| 164
| 993.{{overline|93}}
| m7
| [[16/9]]
| "
| "
| "
|-
| 165
| 1000.00
|
| 
| 
| [[98/55]]
| "
|-
| 166
| 1006.{{overline|06}}
|
| ?
| [[25/14]]
| "
| "
|-
| 167
| 1012.{{overline|12}}
|
| 
| 
| 88/49
| 70/39
|-
| 168
| 1018.{{overline|18}}
|
| [[9/5]]
| "
| "
| "
|-
| 169
| 1024.{{overline|24}}
|
| 
| 
| 231/128
| 65/36
|-
| 170
| 1030.{{overline|30}}
|
| ?
| [[49/27]]
| "
| "
|-
| 171
| 1036.{{overline|36}}
|
| 
| 
| [[20/11]]
| "
|-
| 172
| 1042.{{overline|42}}
|
| ''729/400''
| [[64/35]]
| "
| "
|-
| 173
| 1048.{{overline|48}}
|
| 
| 
| [[11/6]]
| "
|-
| 174
| 1054.{{overline|54}}
|
| ''1152/625''
| [[90/49]]
| "
| "
|-
| 175
| 1060.{{overline|60}}
|
| 
| 
| 231/125
| [[24/13]]
|-
| 176
| 1066.{{overline|66}}
|
| [[50/27]]
| "
| "
| "
|-
| 177
| 1072.{{overline|72}}
|
| 
| 
| 245/132
| [[13/7]]
|-
| 178
| 1078.{{overline|78}}
|
| ?
| [[28/15]]
| "
| "
|-
| 179
| 1084.{{overline|84}}
|
| 
| 
| [[144/77]]
| "
|-
| 180
| 1090.{{overline|90}}
|
| [[15/8]]
| "
| "
| "
|-
| 181
| 1096.{{overline|96}}
|
| 
| 
| [[66/35]]
| 49/26
|-
| 182
| 1103.{{overline|03}}
|
| ''256/135''
| 189/100
| [[121/64]]
| 104/55
|-
| 183
| 1109.{{overline|09}}
|
| 
| 
| 1024/539
| 91/48
|-
| 184
| 1115.{{overline|15}}
| M7
| ''[[243/128]]''
| [[40/21]]
| "
| "
|-
| 185
| 1121.{{overline|21}}
|
| 
| 
| [[21/11]]
| "
|-
| 186
| 1127.{{overline|27}}
|
| [[48/25]]
| "
| "
| "
|-
| 187
| 1133.{{overline|33}}
|
| 
| 
| 77/40
| [[25/13]], [[52/27]]
|-
| 188
| 1139.{{overline|39}}
|
| 625/324
| [[27/14]]
| "
| "
|-
| 189
| 1145.{{overline|45}}
|
| 
| 
| [[64/33]]
| "
|-
| 190
| 1151.{{overline|51}}
|
| 243/125
| [[35/18]]
| "
| "
|-
| 191
| 1157.{{overline|57}}
|
| 
| 
| ''88/45''
| [[39/20]]
|-
| 192
| 1163.{{overline|63}}
|
| ''125/64''
| 49/25, 96/49
| "
| "
|-
| 193
| 1169.{{overline|69}}
|
| 
| 
| 55/28, 108/55
| "
|-
| 194
| 1175.{{overline|75}}
|
| 160/81
| 63/32
| "
| 65/33, 77/39
|-
| 195
| 1181.{{overline|81}}
|
| 
| 
| 99/50, 196/99
| 180/91, 208/105
|-
| 196
| 1187.{{overline|87}}
|
| ?
| 125/63
| 175/88, 240/121
| 143/72
|-
| 197
| 1193.{{overline|93}}
|
| 
| 
| 539/270, 768/385, 880/441
| 195/98, 363/182, 648/325
|-
| 198
| 1200.00
| P8
| colspan="4" | '''[[2/1]]'''
|-
|}

[[Category:198edo]]
[[Category:Tables of edo intervals]]