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Table of 198edo intervals: Difference between revisions

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<div style="background: aliceblue; color: darkslategray; font-style: italic; border: 1px solid lightblue; margin: 15px; padding: 4px; text-align: center;">
This '''table of [[198edo]] intervals''' assumes [[13-limit]] [[patent val]] {{val| 198 314 460 556 685 733 }}.  
This article is a work in progress.


11-limit is done.  
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.  
</div>


This '''table of [[198edo]] intervals''' assumes 13-limit [[patent val]] {{val|198 314 460 556 685 733}}.
{| class="wikitable center-1 right-2 center-3"
 
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. 7-limit intervals that differ from their assigned steps by more than 50%, but no more than 100%, are shown in ''italic'', for they are consistent under the criterion of 99edo. Intervals otherwise that differ by more than 50%, with odd limit over 729, or with two more simpler mapped to the same degree, are not shown. 
 
{| class="wikitable center-1 right-2"
|-
|-
! #
! #
! Cents
! Cents
! 5 limit
! Marks
! 7 limit
! 5-limit
! 11 limit
! 7-limit
! 13 limit
! 11-limit
! 13-limit
|-
|-
| 0
| 0
| 0.00
| 0.00
| P1
| colspan="4" | '''[[1/1]]'''
| colspan="4" | '''[[1/1]]'''
|-
|-
| 1
| 1
| 6.{{overline|06}}
| 6.{{overline|06}}
|
|  
|  
|  
|  
| [[385/384]], [[441/440]]
| [[385/384]], [[441/440]], [[540/539]]
| [[196/195]], [[325/324]]
| [[196/195]], [[325/324]], [[364/363]]
|-
|-
| 2
| 2
| 12.{{overline|12}}
| 12.{{overline|12}}
|
| ?
| ?
| [[126/125]], [[225/224|''225/224'']]
| [[126/125]]
| [[121/120]]
| [[121/120]], [[176/175]]
| [[144/143]], [[169/168]]
| [[144/143]]
|-
|-
| 3
| 3
| 18.{{overline|18}}
| 18.{{overline|18}}
|
|  
|  
|  
|  
Line 45: Line 44:
| 4
| 4
| 24.{{overline|24}}
| 24.{{overline|24}}
|
| [[81/80]]
| [[81/80]]
| [[64/63]]
| [[64/63]]
| 245/242
| "
| [[66/65]], [[78/77]]
| [[66/65]], [[78/77]]
|-
|-
| 5
| 5
| 30.{{overline|30}}
| 30.{{overline|30}}
|
|  
|  
|  
|  
| [[55/54]], [[56/55]]
| [[55/54]], [[56/55]]
| 637/625, 648/637
| "
|-
|-
| 6
| 6
| 36.{{overline|36}}
| 36.{{overline|36}}
| [[128/125|''128/125'']]
|
| ''[[128/125]]''
| [[49/48]], [[50/49]]
| [[49/48]], [[50/49]]
| ?
| "
| 143/140, 729/715
| "
|-
|-
| 7
| 7
| 42.{{overline|42}}
| 42.{{overline|42}}
|
|  
|  
|  
|  
| 352/343
| ''[[45/44]]''
| [[40/39]], 169/165
| [[40/39]]
|-
|-
| 8
| 8
| 48.{{overline|48}}
| 48.{{overline|48}}
|
| [[250/243]]
| [[250/243]]
| [[36/35]]
| [[36/35]]
| ?
| "
| 147/143
| "
|-
|-
| 9
| 9
| 54.{{overline|54}}
| 54.{{overline|54}}
|
|  
|  
|  
|  
| [[33/32]], 567/550
| [[33/32]]
| [[65/63]], 375/364
| "
|-
|-
| 10
| 10
| 60.{{overline|60}}
| 60.{{overline|60}}
|
| [[648/625]]
| [[648/625]]
| [[28/27]]
| [[28/27]]
| 363/350
| "
| 91/88, 175/169
| "
|-
|-
| 11
| 11
| 66.{{overline|66}}
| 66.{{overline|66}}
|
|  
|  
|  
|  
| [[80/77]], 343/330
| [[80/77]]
| [[26/25]], [[27/26]]
| [[26/25]], [[27/26]]
|-
|-
| 12
| 12
| 72.{{overline|72}}
| 72.{{overline|72}}
|
| [[25/24]]
| [[25/24]]
| 729/700
| "
| 126/121
| "
| 169/162, 448/429
| "
|-
|-
| 13
| 13
| 78.{{overline|78}}
| 78.{{overline|78}}
|
|  
|  
|  
|  
| [[22/21]], 288/275
| [[22/21]]
| 245/234
| "
|-
|-
| 14
| 14
| 84.{{overline|84}}
| 84.{{overline|84}}
| [[256/243|''256/243'']]
| m2
| [[21/20]], 360/343
| ''[[256/243]]''
| 605/576
| [[21/20]]
| 104/99, 150/143
| "
| "
|-
|-
| 15
| 15
| 90.{{overline|90}}
| 90.{{overline|90}}
|
|  
|  
|  
|  
| 539/512, 625/594
| 539/512
| 96/91, 343/325
| 96/91
|-
|-
| 16
| 16
| 96.{{overline|96}}
| 96.{{overline|96}}
| [[135/128|''135/128'']]
|
| 200/189, 343/324
| ''[[135/128]]''
| [[128/121]], 363/343
| 200/189
| 55/52, 143/135
| [[128/121]]
| [[55/52]]
|-
|-
| 17
| 17
| 103.{{overline|03}}
| 103.{{overline|03}}
|
|  
|  
|  
|  
| [[35/33]], 297/280
| [[35/33]]
| 52/49, 441/416
| [[52/49]]
|-
|-
| 18
| 18
| 109.{{overline|09}}
| 109.{{overline|09}}
|
| [[16/15]]
| [[16/15]]
| ?
| "
| ?
| "
| 117/110, 180/169
| "
|-
|-
| 19
| 19
| 115.{{overline|15}}
| 115.{{overline|15}}
|
|  
|  
|  
|  
| 77/72, 294/275
| [[77/72]]
| 125/117, 260/243
| "
|-
|-
| 20
| 20
| 121.{{overline|21}}
| 121.{{overline|21}}
|
| ?
| ?
| [[15/14]], 343/320
| [[15/14]]
| 648/605
| "
| 338/315, 363/338
| "
|-
|-
| 21
| 21
| 127.{{overline|27}}
| 127.{{overline|27}}
|
|  
|  
|  
|  
Line 171: Line 188:
| 22
| 22
| 133.{{overline|33}}
| 133.{{overline|33}}
|
| [[27/25]]
| [[27/25]]
| 175/162
| "
| 121/112, 392/363
| "
| 416/385, 676/625
| "
|-
|-
| 23
| 23
| 139.{{overline|39}}
| 139.{{overline|39}}
|
|  
|  
|  
|  
| 250/231, 693/640
| ''[[88/81]]''
| [[13/12]], 550/507
| [[13/12]]
|-
|-
| 24
| 24
| 145.{{overline|45}}
| 145.{{overline|45}}
|
| ''625/576''
| ''625/576''
| [[49/45]], 160/147
| [[49/45]]
| ?
| "
| 99/91, 572/525
| "
|-
|-
| 25
| 25
| 151.{{overline|51}}
| 151.{{overline|51}}
|
|  
|  
|  
|  
| [[12/11]], 275/252
| [[12/11]]
| 273/250, 567/520
| "
|-
|-
| 26
| 26
| 157.{{overline|57}}
| 157.{{overline|57}}
|
| ''800/729''
| ''800/729''
| [[35/32]], 192/175
| [[35/32]]
| ?
| "
| 325/297, 385/351
| "
|-
|-
| 27
| 27
| 163.{{overline|63}}
| 163.{{overline|63}}
|
|  
|  
|  
|  
| [[11/10]]
| [[11/10]]
| 100/91, 169/154
| "
|-
|-
| 28
| 28
| 169.{{overline|69}}
| 169.{{overline|69}}
|
| ?
| ?
| [[54/49]], 441/400
| [[54/49]]
| 400/363
| "
| 182/165, 315/286
| "
|-
|-
| 29
| 29
| 175.{{overline|75}}
| 175.{{overline|75}}
|
|  
|  
|  
|  
| 256/231
| 256/231
| 72/65, 325/294
| 72/65
|-
|-
| 30
| 30
| 181.{{overline|81}}
| 181.{{overline|81}}
|
| [[10/9]]
| [[10/9]]
| ''567/512''
| "
| 672/605
| "
| 231/208, 375/338
| "
|-
|-
| 31
| 31
| 187.{{overline|87}}
| 187.{{overline|87}}
|
|  
|  
|  
|  
| 49/44, 600/539
| 49/44
| 39/35
| 39/35
|-
|-
| 32
| 32
| 193.{{overline|93}}
| 193.{{overline|93}}
|
| ?
| ?
| [[28/25]], 384/343
| [[28/25]]
| 121/108
| "
| 143/128, 160/143
| "
|-
|-
| 33
| 33
| 200.00
| 200.00
|
|  
|  
|  
|  
| [[55/49]], 432/385
| [[55/49]]
| [[91/81]], 175/156
| "
|-
|-
| 34
| 34
| 206.{{overline|06}}
| 206.{{overline|06}}
| M2
| [[9/8]]
| [[9/8]]
| ''640/567''
| "
| ?
| "
| [[44/39]], 169/150
| "
|-
|-
| 35
| 35
| 212.{{overline|12}}
| 212.{{overline|12}}
|
|  
|  
|  
|  
| 112/99, 198/175
| 112/99
| 147/140, 325/288
| "
|-
|-
| 36
| 36
| 218.{{overline|18}}
| 218.{{overline|18}}
| [[256/225|''256/225'']]
|
| 245/216, 500/441
| ''[[256/225]]''
| 363/320, 686/605
| 245/216
| 162/143, 143/126
| "
| 143/126, 162/143
|-
|-
| 37
| 37
| 224.{{overline|24}}
| 224.{{overline|24}}
|
|  
|  
|  
|  
| [[25/22]]
| [[25/22]]
| 91/80, 338/297
| "
|-
|-
| 38
| 38
| 230.{{overline|30}}
| 230.{{overline|30}}
|
| ''729/640''
| ''729/640''
| '''[[8/7]]''', 343/300
| '''[[8/7]]'''
| ?
| "
| 143/125, 297/260
| "
|-
|-
| 39
| 39
| 236.{{overline|36}}
| 236.{{overline|36}}
|
|  
|  
|  
|  
| [[55/48]], 63/55
| [[55/48]]
| 416/363, 625/546
| "
|-  
|-  
| 40
| 40
| 242.{{overline|42}}
| 242.{{overline|42}}
|
| [[144/125]]
| [[144/125]]
| 147/128, 280/243
| "
| ?
| "
| 169/147, 455/396
| "
|-
|-
| 41
| 41
| 248.{{overline|48}}
| 248.{{overline|48}}
|
|  
|  
|  
|  
| 231/200, 343/297
| 231/200
| [[15/13]], 52/45
| [[15/13]]
|-
|-
| 42
| 42
| 254.{{overline|54}}
| 254.{{overline|54}}
|
| 125/108
| 125/108
| [[81/70]]
| [[81/70]]
| [[140/121]]
| "
| 196/169, 624/539
| "
|-
|-
| 43
| 43
| 260.{{overline|60}}
| 260.{{overline|60}}
|
|  
|  
|  
|  
| [[64/55]], 220/189
| [[64/55]]
| 65/56, 121/104
| "
|-
|-
| 44
| 44
| 266.{{overline|66}}
| 266.{{overline|66}}
|
| ?
| ?
| [[7/6]], 400/343
| [[7/6]]
| ?
| "
| 286/245, 500/429
| "
|-
|-
| 45
| 45
| 272.{{overline|72}}
| 272.{{overline|72}}
|
|  
|  
|  
|  
| 90/77
| 90/77
| 117/100, 198/169
| "
|-
|-
| 46
| 46
| 278.{{overline|78}}
| 278.{{overline|78}}
| [[75/64|''75/64'']]
|
| ''[[75/64]]''
| 147/125, 288/245
| 147/125, 288/245
| ?
| "
| 168/143, 169/144
| 168/143
|-
|-
| 47
| 47
| 284.{{overline|84}}
| 284.{{overline|84}}
|
|  
|  
|  
|  
| [[33/28]], 324/275
| [[33/28]]
| 245/208, 520/441
| "
|-
|-
| 48
| 48
| 290.{{overline|90}}
| 290.{{overline|90}}
| [[32/27|''32/27'']]
| m3
| ''[[32/27]]''
| [[189/160]]
| [[189/160]]
| 605/512
| "
| [[13/11]], 77/65
| [[13/11]]
|-
|-
| 49
| 49
| 296.{{overline|96}}
| 296.{{overline|96}}
|
|  
|  
|  
|  
| 196/165, 297/250
| 196/165
| 108/91, 208/175
| 108/91
|-
|-
| 50
| 50
| 303.{{overline|03}}
| 303.{{overline|03}}
|
| ?
| ?
| [[25/21]], 343/288
| [[25/21]]
| [[144/121]]
| "
| 143/120, 495/416
| "
|-
|-
| 51
| 51
| 309.{{overline|09}}
| 309.{{overline|09}}
|
|  
|  
|  
|  
Line 381: Line 428:
| 52
| 52
| 315.{{overline|15}}
| 315.{{overline|15}}
|
| [[6/5]]
| [[6/5]]
| ?
| "
| 605/504
| "
| 343/286, 405/338
| "
|-
|-
| 53
| 53
| 321.{{overline|21}}
| 321.{{overline|21}}
|
|  
|  
|  
|  
| 77/64, 648/539
| 77/64
| 65/54, 125/104
| 65/54
|-
|-
| 54
| 54
| 327.{{overline|27}}
| 327.{{overline|27}}
|
| ?
| ?
| 98/81, ''135/112''
| 98/81
| 121/100
| "
| 110/91, 169/140
| "
|-
|-
| 55
| 55
| 333.{{overline|33}}
| 333.{{overline|33}}
|
|  
|  
|  
|  
| [[40/33]], 297/245
| [[40/33]]
| [[63/52]], 91/75
| [[63/52]]
|-
|-
| 56
| 56
| 339.{{overline|39}}
| 339.{{overline|39}}
|
| 243/200
| 243/200
| 175/144
| 175/144
| 147/121
| 147/121
| 396/325, 468/385
| "
|-
|-
| 57
| 57
| 345.{{overline|45}}
| 345.{{overline|45}}
|
|  
|  
|  
|  
| [[11/9]], 336/275
| [[11/9]]
| [[39/32]]
| [[39/32]]
|-
|-
| 58
| 58
| 351.{{overline|51}}
| 351.{{overline|51}}
|
| ''768/625''
| ''768/625''
| [[49/40]], [[60/49]]
| [[49/40]], [[60/49]]
| ?
| "
| 175/143, 364/297
| "
|-
|-
| 59
| 59
| 357.{{overline|57}}
| 357.{{overline|57}}
|
|  
|  
|  
|  
| [[27/22]], 275/224
| [[27/22]]
| '''[[16/13]]''', 338/275
| '''[[16/13]]'''
|-
|-
| 60
| 60
| 363.{{overline|63}}
| 363.{{overline|63}}
|
| 100/81
| 100/81
| 216/175
| 216/175
| 121/98, 448/363
| 121/98
| 385/312, 625/507
| "
|-
|-
| 61
| 61
| 369.{{overline|69}}
| 369.{{overline|69}}
|
|  
|  
|  
|  
| 99/80, 245/198
| 99/80
| [[26/21]], 225/182
| [[26/21]]
|-
|-
| 62
| 62
| 375.{{overline|75}}
| 375.{{overline|75}}
|
| ?
| ?
| [[56/45]], ''243/196''
| [[56/45]]
| ?
| "
| 210/169, 273/220
| "
|-
|-
| 63
| 63
| 381.{{overline|81}}
| 381.{{overline|81}}
|
|  
|  
|  
|  
| 96/77, 343/275
| 96/77
| 81/65, 156/125
| 81/65, 125/78
|-
|-
| 64
| 64
| 387.{{overline|87}}
| 387.{{overline|87}}
|
| '''[[5/4]]'''
| '''[[5/4]]'''
| ?
| "
| 756/605
| "
| 169/135, 429/343
| "
|-
|-
| 65
| 65
| 393.{{overline|93}}
| 393.{{overline|93}}
|
|  
|  
|  
|  
| [[44/35]]
| [[44/35]]
| 49/39, 351/280
| 49/39
|-
|-
| 66
| 66
| 400.00
| 400.00
|
| ''512/405''
| ''512/405''
| [[63/50]], 432/343
| [[63/50]]
| [[121/96]]
| "
| 180/143, 208/165
| "
|-
|-
| 67
| 67
| 406.{{overline|06}}
| 406.{{overline|06}}
|
|  
|  
|  
|  
| 125/99, 486/385
| 125/99
| 91/72, 576/455
| 91/72
|-
|-
| 68
| 68
| 412.{{overline|12}}
| 412.{{overline|12}}
| [[81/64|''81/64'']]
| M3
| [[80/63]], 343/270
| ''[[81/64]]''
| 768/605
| [[80/63]]
| [[33/26]], 507/400
| "
| [[33/26]]
|-
|-
| 69
| 69
| 418.{{overline|18}}
| 418.{{overline|18}}
|
|  
|  
|  
|  
| [[14/11]], 275/216
| [[14/11]]
| 312/245, 637/500
| "
|-
|-
| 70
| 70
| 424.{{overline|24}}
| 424.{{overline|24}}
| [[32/25|''32/25'']]
|
| 125/98, 245/192
| ''[[32/25]]''
| ?
| 125/98
| 143/112, 351/275
| "
| "
|-
|-
| 71
| 71
| 430.{{overline|30}}
| 430.{{overline|30}}
|
|  
|  
|  
|  
| 77/60, 440/343
| 77/60
| 50/39, 104/81
| 50/39
|-
|-
| 72
| 72
| 436.{{overline|36}}
| 436.{{overline|36}}
|
| 625/486
| 625/486
| [[9/7]]
| [[9/7]]
| ?
| "
| 637/495, 676/525
| "
|-
|-
| 73
| 73
| 442.{{overline|42}}
| 442.{{overline|42}}
|
|  
|  
|  
|  
| [[128/99]], 165/128
| [[128/99]]
| 84/65, 156/121
| 84/65
|-
|-
| 74
| 74
| 448.{{overline|48}}
| 448.{{overline|48}}
|
| 162/125
| 162/125
| [[35/27]]
| [[35/27]]
| 363/280, 784/605
| "
| 539/416, 572/441
| "
|-
|-
| 75
| 75
| 454.{{overline|54}}
| 454.{{overline|54}}
|
|  
|  
|  
|  
| 100/77, 343/264
| 100/77
| [[13/10]], 135/104
| [[13/10]]
|-
|-
| 76
| 76
| 460.{{overline|60}}
| 460.{{overline|60}}
|
| ''125/96''
| ''125/96''
| [[64/49]], 98/75
| [[64/49]]
| ?
| "
| 441/338, 560/429
| "
|-
|-
| 77
| 77
| 466.{{overline|66}}
| 466.{{overline|66}}
|
|  
|  
|  
|  
|55/42, 72/55
| 55/42, 72/55
| 637/486
| "
|-
|-
| 78
| 78
| 472.{{overline|72}}
| 472.{{overline|72}}
|
| ''320/243''
| ''320/243''
| [[21/16]], 450/343
| [[21/16]]
| ?
| "
| 130/99, 154/117
| "
|-
|-
| 79
| 79
| 478.{{overline|78}}
| 478.{{overline|78}}
|
|  
|  
|  
|  
| [[33/25]], 392/297
| [[33/25]]
| 120/91, 343/260
| "
|-
|-
| 80
| 80
| 484.{{overline|84}}
| 484.{{overline|84}}
|
| ?
| ?
| 250/189, 324/245
| 250/189
| 160/121
| 160/121
| 143/108, 189/143
| 143/108, 189/143, 224/169
|-
|-
| 81
| 81
| 490.{{overline|90}}
| 490.{{overline|90}}
|
|  
|  
|  
|  
| 175/132, 297/224
| 175/132
| 65/49, 121/91
| 65/49
|-
|-
| 82
| 82
| 496.{{overline|96}}
| 496.{{overline|96}}
| P4
| '''[[4/3]]'''
| '''[[4/3]]'''
| ?
| "
| ?
| "
| 225/169, 693/520
| "
|-
|-
| 83
| 83
| 503.{{overline|03}}
| 503.{{overline|03}}
|
|  
|  
|  
|  
| 147/110, 385/288
| 147/110
| 234/175, 243/182
| 234/175
|-
|-
| 84
| 84
| 509.{{overline|09}}
| 509.{{overline|09}}
|
| ?
| ?
| [[75/56|''75/56'']], 168/125
| ''[[75/56]]'', 168/125
| ?
| "
| 169/126, 192/143
| "
|-
|-
| 85
| 85
| 515.{{overline|15}}
| 515.{{overline|15}}
|
|  
|  
|  
|  
| 66/49, 400/297
| 66/49
| 35/26, 182/135
| 35/26
|-
|-
| 86
| 86
| 521.{{overline|21}}
| 521.{{overline|21}}
|
| [[27/20]]
| [[27/20]]
| ''256/189''
| "
| 490/343, 605/448
| "
| 104/77, 169/125
| "
|-
|-
| 87
| 87
| 527.{{overline|27}}
| 527.{{overline|27}}
|
|  
|  
|  
|  
| 110/81, 224/165
| 110/81
| 65/48, 441/325
| 65/48
|-
|-
| 88
| 88
| 533.{{overline|33}}
| 533.{{overline|33}}
|
| ''512/375''
| ''512/375''
| [[49/36]], 200/147
| [[49/36]]
| ?
| "
| 143/105, 495/364
| "
|-
|-
| 89
| 89
| 539.{{overline|39}}
| 539.{{overline|39}}
|
|  
|  
|  
|  
| [[15/11]]
| [[15/11]]
| 160/117, 231/169
| "
|-
|-
| 90
| 90
| 545.{{overline|45}}
| 545.{{overline|45}}
|
| 1000/729
| 1000/729
| [[48/35]], 343/250
| [[48/35]]
| ?
| "
| 196/143
| "
|-
|-
| 91
| 91
| 551.{{overline|51}}
| 551.{{overline|51}}
|
|  
|  
|  
|  
| '''[[11/8]]''', 378/275
| '''[[11/8]]'''
| 125/91, 260/189
| "
|-
|-
| 92
| 92
| 557.{{overline|57}}
| 557.{{overline|57}}
|
| ''864/625''
| ''864/625''
| [[112/81|''112/81'']], 441/320
| ''[[112/81]]''
| ?
| "
| 91/66, 338/245
| 91/66
|-
|-
| 93
| 93
| 563.{{overline|63}}
| 563.{{overline|63}}
|
|  
|  
|  
|  
| 320/231, 686/495
| 320/231
| [[18/13]], 104/75
| [[18/13]]
|-
|-
| 94
| 94
| 569.{{overline|69}}
| 569.{{overline|69}}
|
| [[25/18]]
| [[25/18]]
| 243/175
| "
| 168/121
| "
| 338/243
| "
|-
|-
| 95
| 95
| 575.{{overline|75}}
| 575.{{overline|75}}
|
|  
|  
|  
|  
| 88/63, 384/275
| 88/63
| 39/28, 363/260
| 39/28
|-
|-
| 96
| 96
| 581.{{overline|81}}
| 581.{{overline|81}}
| d5
| ?
| ?
| [[7/5]], 480/343
| [[7/5]]
| 605/432
| "
| 200/143, 416/297
| "
|-
|-
| 97
| 97
| 587.{{overline|87}}
| 587.{{overline|87}}
|
|  
|  
|  
|  
| 108/77, 275/196
| 108/77
| 128/91, 351/250
| "
|-
|-
| 98
| 98
| 593.{{overline|93}}
| 593.{{overline|93}}
| [[45/32|''45/32'']]
|
| 343/243, 800/567
| ''[[45/32]]''
| 484/343, 512/363
| 343/243
| 55/39, 169/120
| 484/343
| 55/39
|-
|-
| 99
| 99
| 600.00
| 600.00
|
|  
|  
|  
|  
| [[99/70]], [[140/99]]
| [[99/70]], [[140/99]]
| 147/104, 208/147
| "
|-
|-
| 100
| 100
| 606.{{overline|06}}
| 606.{{overline|06}}
| [[64/45|''64/45'']]
|
| 486/343, 567/400
| ''[[64/45]]''
| 343/242, 363/256
| 486/343
| 78/55, 240/169
| 343/242
| 78/55
|-
|-
| 101
| 101
| 612.{{overline|12}}
| 612.{{overline|12}}
|
|  
|  
|  
|  
| 77/54, 392/275
| 77/54
| 91/64, 500/351
| "
|-
|-
| 102
| 102
| 618.{{overline|18}}
| 618.{{overline|18}}
| A4
| ?
| ?
| [[10/7]], 343/240
| [[10/7]]
| 864/605
| "
| 143/100, 297/208
| "
|-
|-
| 103
| 103
| 624.{{overline|24}}
| 624.{{overline|24}}
|
|  
|  
|  
|  
| 63/44, 275/192
| 63/44
| 56/39, 351/245
| 56/39
|-
|-
| 104
| 104
| 630.{{overline|30}}
| 630.{{overline|30}}
|
| [[36/25]]
| [[36/25]]
| 350/243
| "
| 121/84
| "
| 243/169
| "
|-
|-
| 105
| 105
| 636.{{overline|36}}
| 636.{{overline|36}}
|
|  
|  
|  
|  
| 231/160, 495/343
| 231/160
| [[13/9]], 75/52
| [[13/9]]
|-
|-
| 106
| 106
| 642.{{overline|42}}
| 642.{{overline|42}}
|
| ''625/432''
| ''625/432''
| [[81/56|''81/56'']], 640/441
| ''[[81/56]]''
| ?
| "
| 132/91, 245/169
| 132/91
|-
|-
| 107
| 107
| 648.{{overline|48}}
| 648.{{overline|48}}
|
|  
|  
|  
|  
| '''[[16/11]]''', 275/189
| '''[[16/11]]'''
| 182/125, 189/130
| "
|-
|-
| 108
| 108
| 654.{{overline|54}}
| 654.{{overline|54}}
|
| 729/500
| 729/500
| [[35/24]], 500/343
| [[35/24]]
| ?
| "
| 143/98
| "
|-
|-
| 109
| 109
| 660.{{overline|60}}
| 660.{{overline|60}}
|
|  
|  
|  
|  
| [[22/15]]
| [[22/15]]
| 117/80, 338/231
| "
|-
|-
| 110
| 110
| 666.{{overline|66}}
| 666.{{overline|66}}
|
| ''375/256''
| ''375/256''
| [[72/49]], 147/100
| [[72/49]]
| ?
| "
| 210/143, 715/486
| "
|-
|-
| 111
| 111
| 672.{{overline|72}}
| 672.{{overline|72}}
|
|  
|  
|  
|  
| 81/55, 165/112
| 81/55
| 96/65, 637/432
| 96/65
|-
|-
| 112
| 112
| 678.{{overline|78}}
| 678.{{overline|78}}
|
| [[40/27]]
| [[40/27]]
| ''189/128''
| "
| 363/245, 896/605
| "
| 77/52, 250/169
| "
|-
|-
| 113
| 113
| 684.{{overline|84}}
| 684.{{overline|84}}
|
|  
|  
|  
|  
| 49/33, 297/200
| 49/33
| 52/35, 135/91
| 52/35
|-
|-
| 114
| 114
| 690.{{overline|90}}
| 690.{{overline|90}}
|
| ?
| ?
| [[112/75|''112/75'']], 125/84
| ''[[112/75]]'', 125/84
| ?
| "
| 143/96, 252/169
| "
|-
|-
| 115
| 115
| 696.{{overline|96}}
| 696.{{overline|96}}
|
|  
|  
|  
|  
| 220/147, 539/360
| 220/147
| 175/117, 364/243
| 175/117
|-
|-
| 116
| 116
| 703.{{overline|03}}
| 703.{{overline|03}}
| P5
| '''[[3/2]]'''
| '''[[3/2]]'''
| ?
| "
| ?
| "
| 338/225, 1140/693
| "
|-
|-
| 117
| 117
| 709.{{overline|09}}
| 709.{{overline|09}}
|
|  
|  
|  
|  
| 264/175, 385/256
| 264/175
| 98/65, 182/121
| 98/65
|-
|-
| 118
| 118
| 715.{{overline|15}}
| 715.{{overline|15}}
|
| ?
| ?
| 189/125, 245/162
| 189/125
| 121/80
| 121/80
| 169/112, 216/143
| 169/112, 216/143, 286/189
|-
|-
| 119
| 119
| 721.{{overline|21}}
| 721.{{overline|21}}
|
|  
|  
|  
|  
| [[50/33]], 297/196
| [[50/33]]
| 91/60, 315/208
| "
|-
|-
| 120
| 120
| 727.{{overline|27}}
| 727.{{overline|27}}
|
| ''243/160''
| ''243/160''
| [[32/21]], 343/225
| [[32/21]]
| ?
| "
| 99/65, 117/77
| "
|-
|-
| 121
| 121
| 733.{{overline|33}}
| 733.{{overline|33}}
|
|  
|  
|  
|  
| 55/36, 84/55
| 55/36, 84/55
| 972/637
| "
|-
|-
| 122
| 122
| 739.{{overline|39}}
| 739.{{overline|39}}
|
| ''192/125''
| ''192/125''
| [[49/32]], 75/49
| [[49/32]]
| ?
| "
| 429/280, 455/297
| "
|-
|-
| 123
| 123
| 745.{{overline|45}}
| 745.{{overline|45}}
|
|  
|  
|  
|  
| 77/50, 528/343
| 77/50
| [[20/13]], 169/110
| [[20/13]]
|-
|-
| 124
| 124
| 751.{{overline|51}}
| 751.{{overline|51}}
|
| 125/81
| 125/81
| [[54/35]]
| [[54/35]]
| 560/363, 605/392
| "
| 441/286, 832/539
| "
|-
|-
| 125
| 125
| 757.{{overline|57}}
| 757.{{overline|57}}
|
|  
|  
|  
|  
| [[99/64]], 256/165
| [[99/64]]
| 65/42, 121/78
| 65/42
|-
|-
| 126
| 126
| 763.{{overline|63}}
| 763.{{overline|63}}
|
| 972/625
| 972/625
| [[14/9]]
| [[14/9]]
| ?
| "
| 525/338, 990/637
| "
|-
|-
| 127
| 127
| 769.{{overline|69}}
| 769.{{overline|69}}
|
|  
|  
|  
|  
| 120/77, 343/220
| 120/77
| 39/25, 81/52
| 39/25
|-
|-
| 128
| 128
| 775.{{overline|75}}
| 775.{{overline|75}}
| [[25/16|''25/16'']]
|
| 196/125, 384/245
| ''[[25/16]]''
| ?
| 196/125
| 224/143, 550/351
| "
| "
|-
|-
| 129
| 129
| 781.{{overline|81}}
| 781.{{overline|81}}
|
|  
|  
|  
|  
| [[11/7]], 432/275
| [[11/7]]
| 245/156, 637/405
| "
|-
|-
| 130
| 130
| 787.{{overline|87}}
| 787.{{overline|87}}
| [[128/81|''128/81'']]
| m6
| [[63/40]], 540/343
| ''[[128/81]]''
| 605/384
| [[63/40]]
| [[52/33]], 800/507
| "
| [[52/33]]
|-
|-
| 131
| 131
| 793.{{overline|93}}
| 793.{{overline|93}}
|
|  
|  
|  
|  
| 198/125, 385/243
| 198/125
| 144/91, 455/288
| 144/91
|-
|-
| 132
| 132
| 800.00
| 800.00
|
| ''405/256''
| ''405/256''
| [[100/63]], 343/216
| [[100/63]]
| [[192/121]]
| "
| 143/90, 165/104
| "
|-
|-
| 133
| 133
| 806.{{overline|06}}
| 806.{{overline|06}}
|
|  
|  
|  
|  
| [[35/22]]
| [[35/22]]
| 78/49, 539/338
| "
|-
|-
| 134
| 134
| 812.{{overline|12}}
| 812.{{overline|12}}
|
| '''[[8/5]]'''
| '''[[8/5]]'''
| ?
| "
| 605/378
| "
| 270/169, 686/429
| "
|-
|-
| 135
| 135
| 818.{{overline|18}}
| 818.{{overline|18}}
|
|  
|  
|  
|  
| 77/48, 441/275
| 77/48
| 125/78, 130/81
| 125/78, 130/81
|-
|-
| 136
| 136
| 824.{{overline|24}}
| 824.{{overline|24}}
|
| ?
| ?
| [[45/28]], ''392/243''
| [[45/28]]
| ?
| "
| 169/105, 440/273
| "
|-
|-
| 137
| 137
| 830.{{overline|30}}
| 830.{{overline|30}}
|
|  
|  
|  
|  
| 160/99, 396/245
| [[160/99]]
| [[21/13]], 364/225
| [[21/13]]
|-
|-
| 138
| 138
| 836.{{overline|36}}
| 836.{{overline|36}}
|
| 81/50
| 81/50
| 175/108
| 175/108
| 196/121, 363/224
| 196/121
| 624/385, 715/441
| "
|-
|-
| 139
| 139
| 842.{{overline|42}}
| 842.{{overline|42}}
|
|  
|  
|  
|  
| [[44/27]], 448/275
| [[44/27]]
| '''[[13/8]]''', 275/169
| '''[[13/8]]'''
|-
|-
| 140
| 140
| 848.{{overline|48}}
| 848.{{overline|48}}
|
| ''625/384''
| ''625/384''
| [[49/30]], [[80/49]]
| [[49/30]], [[80/49]]
| ?
| "
| 286/175, 297/182
| "
|-
|-
| 141
| 141
| 854.{{overline|54}}
| 854.{{overline|54}}
|
|  
|  
|  
|  
| [[18/11]], 275/168
| [[18/11]]
| [[64/39]]
| [[64/39]]
|-
|-
| 142
| 142
| 860.{{overline|60}}
| 860.{{overline|60}}
|
| 400/243
| 400/243
| 288/175
| 288/175
| 242/147
| 242/147
| 325/198, 385/234
| "
|-
|-
| 143
| 143
| 866.{{overline|66}}
| 866.{{overline|66}}
|
|  
|  
|  
|  
| [[33/20]], 490/297
| [[33/20]]
| [[104/63]], 150/91
| [[104/63]]
|-
|-
| 144
| 144
| 872.{{overline|72}}
| 872.{{overline|72}}
|
| ?
| ?
| [[81/49]], ''224/135''
| [[81/49]]
| 200/121
| "
| 91/55, 280/169
| "
|-
|-
| 145
| 145
| 878.{{overline|78}}
| 878.{{overline|78}}
|
|  
|  
|  
|  
| 128/77, 539/324
| 128/77
| 108/65, 208/125
| 108/65
|-
|-
| 146
| 146
| 884.{{overline|84}}
| 884.{{overline|84}}
|
| [[5/3]]
| [[5/3]]
| ?
| "
| 1008/605
| "
| 572/343, 676/405
| "
|-
|-
| 147
| 147
| 890.{{overline|90}}
| 890.{{overline|90}}
|
|  
|  
|  
|  
Line 1,053: Line 1,196:
| 148
| 148
| 896.{{overline|96}}
| 896.{{overline|96}}
|
| ?
| ?
| [[42/25]], 576/343
| [[42/25]]
| [[121/72]]
| "
| 240/143, 567/338
| "
|-
|-
| 149
| 149
| 903.{{overline|03}}
| 903.{{overline|03}}
|
|  
|  
|  
|  
| 165/98, 500/297
| 165/98
| 91/54, 175/104
| 91/54
|-
|-
| 150
| 150
| 909.{{overline|09}}
| 909.{{overline|09}}
| [[27/16|''27/16'']]
| M6
| ''[[27/16]]''
| [[320/189]]
| [[320/189]]
| 1024/605
| "
| [[22/13]], 130/77
| [[22/13]]
|-
|-
| 151
| 151
| 915.{{overline|15}}
| 915.{{overline|15}}
|
|  
|  
|  
|  
| [[56/33]], 275/162
| [[56/33]]
| 416/245, 441/260
| "
|-
|-
| 152
| 152
| 921.{{overline|21}}
| 921.{{overline|21}}
| [[128/75|''128/75'']]
|
| ''[[128/75]]''
| 245/144, 250/147
| 245/144, 250/147
| ?
| "
| 143/84, 288/169
| 143/84
|-
|-
| 153
| 153
| 927.{{overline|27}}
| 927.{{overline|27}}
|
|  
|  
|  
|  
| 77/45
| 77/45
| 169/99, 200/117
| "
|-
|-
| 154
| 154
| 933.{{overline|33}}
| 933.{{overline|33}}
|
| ?
| ?
| [[12/7]], 343/200
| [[12/7]]
| ?
| "
| 245/143, 429/250
| "
|-
|-
| 155
| 155
| 939.{{overline|39}}
| 939.{{overline|39}}
|
|  
|  
|  
|  
| [[55/32]], 189/110
| [[55/32]]
| 112/65, 208/121
| "
|-
|-
| 156
| 156
| 945.{{overline|45}}
| 945.{{overline|45}}
|
| 216/125
| 216/125
| [[140/81]]
| [[140/81]]
| [[121/70]]
| [[121/70]]
| 169/98, 539/312
| "
|-
|-
| 157
| 157
| 951.{{overline|51}}
| 951.{{overline|51}}
|
|  
|  
|  
|  
| 343/198, 400/231
| 343/198, 400/231
| [[26/15]], 45/26
| [[26/15]]
|-
|-
| 158
| 158
| 957.{{overline|57}}
| 957.{{overline|57}}
|
| [[125/72]]
| [[125/72]]
| 243/140, 256/147
| "
| ?
| "
| 294/169, 792/455
| "
|-
|-
| 159
| 159
| 963.{{overline|63}}
| 963.{{overline|63}}
|
|  
|  
|  
|  
| [[96/55]], 110/63
| [[96/55]]
| 363/208, 1092/625
| "
|-
|-
| 160
| 160
| 969.{{overline|69}}
| 969.{{overline|69}}
|
| ''1280/729''
| ''1280/729''
| '''[[7/4]]''', 600/343
| '''[[7/4]]'''
| ?
| "
| 250/143, 429/245
| "
|-
|-
| 161
| 161
| 975.{{overline|75}}
| 975.{{overline|75}}
|
|  
|  
|  
|  
| [[44/25]]
| [[44/25]]
| 160/91, 297/169
| "
|-
|-
| 162
| 162
| 981.{{overline|81}}
| 981.{{overline|81}}
| [[225/128|''225/128'']]
|
| 432/245, 441/250
| ''[[225/128]]''
| 605/343, 640/363
| 432/245
| 143/81, 169/96
| "
| 143/81, 252/143
|-
|-
| 163
| 163
| 987.{{overline|87}}
| 987.{{overline|87}}
|
|  
|  
|  
|  
| 99/56, 175/99
| 99/56
| 260/147, 576/325
| "
|-
|-
| 164
| 164
| 993.{{overline|93}}
| 993.{{overline|93}}
| m7
| [[16/9]]
| [[16/9]]
| ''567/320''
| "
| ?
| "
| [[39/22]], 231/130
| "
|-
|-
| 165
| 165
| 1000.00
| 1000.00
|
|  
|  
|  
|  
| [[98/55]], 385/216
| [[98/55]]
| [[162/91]], 312/175
| "
|-
|-
| 166
| 166
| 1006.{{overline|06}}
| 1006.{{overline|06}}
|
| ?
| ?
| [[25/14]], 343/192
| [[25/14]]
| 216/121
| "
| 143/80, 256/143
| "
|-
|-
| 167
| 167
| 1012.{{overline|12}}
| 1012.{{overline|12}}
|
|  
|  
|  
|  
| 88/49, 539/300
| 88/49
| 70/39
| 70/39
|-
|-
| 168
| 168
| 1018.{{overline|18}}
| 1018.{{overline|18}}
|
| [[9/5]]
| [[9/5]]
| ''1024/567''
| "
| 605/336
| "
| 416/231, 676/375
| "
|-
|-
| 169
| 169
| 1024.{{overline|24}}
| 1024.{{overline|24}}
|
|  
|  
|  
|  
| 231/128
| 231/128
| 65/36, 1092/605
| 65/36
|-
|-
| 170
| 170
| 1030.{{overline|30}}
| 1030.{{overline|30}}
|
| ?
| ?
| [[49/27]], 800/441
| [[49/27]]
| 363/200
| "
| 165/91, 507/280
| "
|-
|-
| 171
| 171
| 1036.{{overline|36}}
| 1036.{{overline|36}}
|
|  
|  
|  
|  
| [[20/11]]
| [[20/11]]
| 91/50, 189/104
| "
|-
|-
| 172
| 172
| 1042.{{overline|42}}
| 1042.{{overline|42}}
|
| ''729/400''
| ''729/400''
| [[64/35]], 175/96
| [[64/35]]
| ?
| "
| 594/325, 702/385
| "
|-
|-
| 173
| 173
| 1048.{{overline|48}}
| 1048.{{overline|48}}
|
|  
|  
|  
|  
| [[11/6]], 504/275
| [[11/6]]
| 500/273, 1040/567
| "
|-
|-
| 174
| 174
| 1054.{{overline|54}}
| 1054.{{overline|54}}
|
| ''1152/625''
| ''1152/625''
| [[90/49]], 147/80
| [[90/49]]
| ?
| "
| 182/99, 525/286
| "
|-
|-
| 175
| 175
| 1060.{{overline|60}}
| 1060.{{overline|60}}
|
|  
|  
|  
|  
| 231/125, 1280/693
| 231/125
| [[24/13]], 507/275
| [[24/13]]
|-
|-
| 176
| 176
| 1066.{{overline|66}}
| 1066.{{overline|66}}
|
| [[50/27]]
| [[50/27]]
| 324/175
| "
| 224/121, 363/196
| "
| 385/208, 625/338
| "
|-
|-
| 177
| 177
| 1072.{{overline|72}}
| 1072.{{overline|72}}
|
|  
|  
|  
|  
| 245/132, 297/160
| 245/132
| [[13/7]]
| [[13/7]]
|-
|-
| 178
| 178
| 1078.{{overline|78}}
| 1078.{{overline|78}}
|
| ?
| ?
| [[28/15]], 640/343
| [[28/15]]
| 605/324
| "
| 315/169, 676/363
| "
|-
|-
| 179
| 179
| 1084.{{overline|84}}
| 1084.{{overline|84}}
|
|  
|  
|  
|  
| 144/77, 275/147
| [[144/77]]
| 234/125, 243/130
| "
|-
|-
| 180
| 180
| 1090.{{overline|90}}
| 1090.{{overline|90}}
|
| [[15/8]]
| [[15/8]]
| ?
| "
| ?
| "
| 169/90, 220/117
| "
|-
|-
| 181
| 181
| 1096.{{overline|96}}
| 1096.{{overline|96}}
|
|  
|  
|  
|  
| [[66/35]], 560/297
| [[66/35]]
| 49/26, 832/441
| 49/26
|-
|-
| 182
| 182
| 1103.{{overline|03}}
| 1103.{{overline|03}}
|
| ''256/135''
| ''256/135''
| 189/100, 648/343
| 189/100
| [[121/64]], 686/363
| [[121/64]]
| 104/55, 270/143
| 104/55
|-
|-
| 183
| 183
| 1109.{{overline|09}}
| 1109.{{overline|09}}
|
|  
|  
|  
|  
| 1024/539, 1188/625
| 1024/539
| 91/48, 650/343
| 91/48
|-
|-
| 184
| 184
| 1115.{{overline|15}}
| 1115.{{overline|15}}
| [[243/128|''243/128'']]
| M7
| [[40/21]], 343/180
| ''[[243/128]]''
| 1152/605
| [[40/21]]
| 99/52, 143/75
| "
| "
|-
|-
| 185
| 185
| 1121.{{overline|21}}
| 1121.{{overline|21}}
|
|  
|  
|  
|  
| [[21/11]], 275/144
| [[21/11]]
| 468/245
| "
|-
|-
| 186
| 186
| 1127.{{overline|27}}
| 1127.{{overline|27}}
|
| [[48/25]]
| [[48/25]]
| 1400/729
| "
| 121/63
| "
| 324/169, 429/224
| "
|-
|-
| 187
| 187
| 1133.{{overline|33}}
| 1133.{{overline|33}}
|
|  
|  
|  
|  
| 77/40, 660/343
| 77/40
| [[25/13]], [[52/27]]
| [[25/13]], [[52/27]]
|-
|-
| 188
| 188
| 1139.{{overline|39}}
| 1139.{{overline|39}}
|
| 625/324
| 625/324
| [[27/14]]
| [[27/14]]
| 700/363
| "
| 176/91, 338/175
| "
|-
|-
| 189
| 189
| 1145.{{overline|45}}
| 1145.{{overline|45}}
|
|  
|  
|  
|  
| [[64/33]], 1100/567
| [[64/33]]
| [[126/65]], 605/312
| "
|-
|-
| 190
| 190
| 1151.{{overline|51}}
| 1151.{{overline|51}}
|
| 243/125
| 243/125
| [[35/18]]
| [[35/18]]
| ?
| "
| 286/147
| "
|-
|-
| 191
| 191
| 1157.{{overline|57}}
| 1157.{{overline|57}}
|
|  
|  
|  
|  
| 343/176
| ''88/45''
| [[39/20]], 330/169
| [[39/20]]
|-
|-
| 192
| 192
| 1163.{{overline|63}}
| 1163.{{overline|63}}
|
| ''125/64''
| ''125/64''
| 49/25, 96/49
| 49/25, 96/49
| ?
| "
| 280/143, 1430/729
| "
|-
|-
| 193
| 193
| 1169.{{overline|69}}
| 1169.{{overline|69}}
|
|  
|  
|  
|  
| 108/55, 55/27
| 55/28, 108/55
| 637/324, 1250/637
| "
|-
|-
| 194
| 194
| 1175.{{overline|75}}
| 1175.{{overline|75}}
|
| 160/81
| 160/81
| 63/32
| 63/32
| 484/245
| "
| 65/33, 77/39
| 65/33, 77/39
|-
|-
| 195
| 195
| 1181.{{overline|81}}
| 1181.{{overline|81}}
|
|  
|  
|  
|  
| 196/99, 99/50
| 99/50, 196/99
| 180/91, 208/105
| 180/91, 208/105
|-
|-
| 196
| 196
| 1187.{{overline|87}}
| 1187.{{overline|87}}
|
| ?
| ?
| 125/63, ''448/225''
| 125/63
| 240/121
| 175/88, 240/121
| 143/72, 336/169
| 143/72
|-
|-
| 197
| 197
| 1193.{{overline|93}}
| 1193.{{overline|93}}
|
|  
|  
|  
|  
| 539/270, 768/385
| 539/270, 768/385, 880/441
| 195/98, 363/182
| 195/98, 363/182, 648/325
|-
|-
| 198
| 198
| 1200.00
| 1200.00
| P8
| colspan="4" | '''[[2/1]]'''
| colspan="4" | '''[[2/1]]'''
|-
|-
Line 1,408: Line 1,602:


[[Category:198edo]]
[[Category:198edo]]
[[Category:Interval collection]]
[[Category:Tables of edo intervals]]
Retrieved from "https://en.xen.wiki/w/Table_of_198edo_intervals"