Xenharmonic Wiki

Table of 99edo intervals: Difference between revisions

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VisualWikitext
Overthink (talk | contribs)
autopatrolled
2,671 edits
add some previously missing ratios one may want to use
Overthink (talk | contribs)
autopatrolled
2,671 edits
m swap these columns since the sharp extension is more related to higher limits
 
Line 9: Line 9:
! 5-limit
! 5-limit
! 7-limit
! 7-limit
! 13-limit Extension<br>(Tending Flat)
! 13-limit Extension<br>(Tending Sharp)
! 13-limit Extension<br>(Tending Sharp)
! 13-limit Extension<br>(Tending Flat)
! Higher Limit Extension
! Higher Limit Extension
|-
|-
Line 23: Line 23:
| 2048/2025
| 2048/2025
| 126/125
| 126/125
|  
|
|  
|
|  
|  
|-
|-
Line 32: Line 32:
| 81/80
| 81/80
| 64/63
| 64/63
| 55/54, 66/65, 78/77
| 56/55, 66/65, 78/77
| 56/55, 66/65, 78/77
| 55/54, 66/65, 78/77
| 58/57, 69/68, 70/69, 76/75
| 58/57, 69/68, 70/69, 76/75
|-
|-
Line 41: Line 41:
| 128/125
| 128/125
| 49/48, 50/49
| 49/48, 50/49
| 56/55
| 40/39, 45/44, 55/54
| 40/39, 45/44, 55/54
| 56/55
| 46/45, 51/50, 57/56
| 46/45, 51/50, 57/56
|-
|-
Line 50: Line 50:
| 250/243
| 250/243
| 36/35
| 36/35
|
| 33/32, 40/39, 45/44
| 33/32, 40/39, 45/44
|
| 35/34
| 35/34
|-
|-
Line 59: Line 59:
| 648/625
| 648/625
| 28/27
| 28/27
| 26/25
| 27/26, 33/32
| 27/26, 33/32
| 26/25
| 29/28, 30/29
| 29/28, 30/29
|-
|-
Line 68: Line 68:
| 25/24
| 25/24
| "
| "
| 22/21, 27/26
| 26/25
| 26/25
| 22/21, 27/26
| (23/22), 24/23
| (23/22), 24/23
|-
|-
Line 77: Line 77:
| 256/243
| 256/243
| 21/20
| 21/20
|
| 22/21
| 22/21
|
| 20/19
| 20/19
|-
|-
Line 86: Line 86:
| 135/128
| 135/128
| "
| "
|  
|
|  
|
| 18/17, 19/18
| 18/17, 19/18
|-
|-
Line 95: Line 95:
| 16/15
| 16/15
| "
| "
|  
|
|  
|
| '''17/16'''
| '''17/16'''
|-
|-
Line 104: Line 104:
| 2187/2048
| 2187/2048
| 15/14
| 15/14
|
| 14/13
| 14/13
|
| 29/27
| 29/27
|-
|-
Line 113: Line 113:
| 27/25
| 27/25
| "
| "
|
| 13/12, 14/13
| 13/12, 14/13
|
|  
|  
|-
|-
Line 122: Line 122:
| 625/576
| 625/576
| 49/45
| 49/45
|
| 12/11, 13/12
| 12/11, 13/12
|
| 25/23
| 25/23
|-
|-
Line 131: Line 131:
| 800/729
| 800/729
| 35/32
| 35/32
|
| 11/10, 12/11
| 11/10, 12/11
|
| 23/21
| 23/21
|-
|-
Line 140: Line 140:
| 1125/1024
| 1125/1024
| 54/49
| 54/49
|
| 11/10
| 11/10
|
| 21/19, '''32/29'''
| 21/19, '''32/29'''
|-
|-
Line 149: Line 149:
| 10/9
| 10/9
| "
| "
|  
|
|  
|
| (29/26)
| (29/26)
|-
|-
Line 158: Line 158:
| 4096/3645
| 4096/3645
| 28/25
| 28/25
|  
|
|  
|
| 19/17
| 19/17
|-
|-
Line 167: Line 167:
| 9/8
| 9/8
| "
| "
|  
|
|  
|
|  
|  
|-
|-
Line 176: Line 176:
| 256/225
| 256/225
| 245/216
| 245/216
|
| 25/22
| 25/22
|
| 17/15, (26/23)
| 17/15, (26/23)
|-
|-
Line 185: Line 185:
| 729/640
| 729/640
| '''8/7'''
| '''8/7'''
|
| 25/22
| 25/22
|
|  
|  
|-
|-
Line 194: Line 194:
| 144/125
| 144/125
| "
| "
|
| 15/13
| 15/13
|
| 23/20
| 23/20
|-
|-
Line 203: Line 203:
| 125/108
| 125/108
| 81/70
| 81/70
|
| 15/13
| 15/13
|
| (22/19)
| (22/19)
|-
|-
Line 212: Line 212:
| 729/625
| 729/625
| 7/6
| 7/6
|  
|
|  
|
|  
|  
|-
|-
Line 221: Line 221:
| 75/64
| 75/64
| "
| "
|
| 33/28
| 33/28
|
| 20/17, 27/23, 34/29
| 20/17, 27/23, 34/29
|-
|-
Line 230: Line 230:
| 32/27
| 32/27
| "
| "
| 13/11
| 13/11, 33/28
| 13/11, 33/28
| 13/11
|  
|  
|-
|-
Line 239: Line 239:
| 1215/1024
| 1215/1024
| 25/21
| 25/21
|  
|
|  
|
| '''19/16'''
| '''19/16'''
|-
|-
Line 248: Line 248:
| 6/5
| 6/5
| "
| "
|  
|
|  
|
|  
|  
|-
|-
Line 257: Line 257:
| 3125/2592
| 3125/2592
| 98/81
| 98/81
|
| 40/33
| 40/33
|
| 23/19, 29/24
| 23/19, 29/24
|-
|-
Line 266: Line 266:
| 243/200
| 243/200
| 128/105
| 128/105
|
| 11/9, 39/32, 40/33
| 11/9, 39/32, 40/33
|
| 17/14, 28/23
| 17/14, 28/23
|-
|-
Line 275: Line 275:
| 625/512
| 625/512
| 49/40, 60/49
| 49/40, 60/49
|
| 11/9, '''16/13''', 27/22, 39/32
| 11/9, '''16/13''', 27/22, 39/32
|
|  
|  
|-
|-
Line 284: Line 284:
| 100/81
| 100/81
| "
| "
|
| '''16/13''', 26/21, 27/22
| '''16/13''', 26/21, 27/22
|
| 21/17
| 21/17
|-
|-
Line 293: Line 293:
| 3888/3125
| 3888/3125
| 56/45
| 56/45
|
| 26/21
| 26/21
|
| 36/29
| 36/29
|-
|-
Line 302: Line 302:
| '''5/4'''
| '''5/4'''
| "
| "
|  
|
|  
|
|  
|  
|-
|-
Line 311: Line 311:
| 512/405
| 512/405
| 63/50
| 63/50
|  
|
|  
|
| 24/19, 29/23
| 24/19, 29/23
|-
|-
Line 320: Line 320:
| 81/64
| 81/64
| 80/63
| 80/63
| 33/26
| 14/11, 33/26
| 14/11, 33/26
| 33/26
| 19/15
| 19/15
|-
|-
Line 329: Line 329:
| 32/25
| 32/25
| "
| "
|
| 14/11
| 14/11
|
| 23/18
| 23/18
|-
|-
Line 338: Line 338:
| 625/486
| 625/486
| 9/7
| 9/7
|  
|
|  
|
|  
|  
|-
|-
Line 347: Line 347:
| 162/125
| 162/125
| 35/27
| 35/27
|
| 13/10
| 13/10
|
| (22/17)
| (22/17)
|-
|-
Line 356: Line 356:
| 125/96
| 125/96
| 64/49
| 64/49
|
| 13/10
| 13/10
|
| (17/13), 30/23
| (17/13), 30/23
|-
|-
Line 365: Line 365:
| 320/243
| 320/243
| 21/16
| 21/16
|
| 33/25
| 33/25
|
| (29/22), 38/29
| (29/22), 38/29
|-
|-
Line 374: Line 374:
| 675/512
| 675/512
| 250/189
| 250/189
|
| 33/25
| 33/25
|
|  
|  
|-
|-
Line 383: Line 383:
| '''4/3'''
| '''4/3'''
| "
| "
|  
|
|  
|
|  
|  
|-
|-
Line 392: Line 392:
| 8192/6075
| 8192/6075
| 75/56
| 75/56
|  
|
|  
|
| 51/38
| 51/38
|-
|-
Line 401: Line 401:
| 27/20
| 27/20
| "
| "
|  
|
|  
|
| 23/17
| 23/17
|-
|-
Line 410: Line 410:
| 512/375
| 512/375
| 49/36
| 49/36
|
| 15/11
| 15/11
|
|  
|  
|-
|-
Line 419: Line 419:
| 1000/729
| 1000/729
| 48/35
| 48/35
|
| '''11/8''', 15/11
| '''11/8''', 15/11
|
| (26/19)
| (26/19)
|-
|-
Line 428: Line 428:
| 864/625
| 864/625
| 112/81
| 112/81
|
| '''11/8''', 18/13
| '''11/8''', 18/13
|
| 29/21, 40/29
| 29/21, 40/29
|-
|-
Line 437: Line 437:
| 25/18
| 25/18
| "
| "
|
| 18/13
| 18/13
|
| '''32/23'''
| '''32/23'''
|-
|-
Line 446: Line 446:
| 1024/729
| 1024/729
| 7/5
| 7/5
|  
|
|  
|
|  
|  
|-
|-
Line 455: Line 455:
| 45/32
| 45/32
| "
| "
|  
|
|  
|
| 24/17, 38/27
| 24/17, 38/27
|-
|-
Line 464: Line 464:
| 64/45
| 64/45
| "
| "
|  
|
|  
|
| 17/12, 27/19
| 17/12, 27/19
|-
|-
Line 473: Line 473:
| 729/512
| 729/512
| 10/7
| 10/7
|  
|
|  
|
|  
|  
|-
|-
Line 482: Line 482:
| 36/25
| 36/25
| "
| "
|
| 13/9
| 13/9
|
| '''23/16'''
| '''23/16'''
|-
|-
Line 491: Line 491:
| 625/432
| 625/432
| 81/56
| 81/56
|
| '''16/11'''
| '''16/11'''
|
| 29/20, 42/29
| 29/20, 42/29
|-
|-
Line 500: Line 500:
| 729/500
| 729/500
| 35/24
| 35/24
|
| '''16/11''', 22/15
| '''16/11''', 22/15
|
| (19/13)
| (19/13)
|-
|-
Line 509: Line 509:
| 375/256
| 375/256
| 72/49
| 72/49
|
| 22/15
| 22/15
|
|  
|  
|-
|-
Line 518: Line 518:
| 40/27
| 40/27
| "
| "
|  
|
|  
|
| 34/23
| 34/23
|-
|-
Line 527: Line 527:
| 6075/4096
| 6075/4096
| 112/75
| 112/75
|  
|
|  
|
| 76/51
| 76/51
|-
|-
Line 536: Line 536:
| '''3/2'''
| '''3/2'''
| "
| "
|  
|
|  
|
|  
|  
|-
|-
Line 545: Line 545:
| 1024/675
| 1024/675
| 189/125
| 189/125
|
| 50/33
| 50/33
|
|  
|  
|-
|-
Line 554: Line 554:
| 243/160
| 243/160
| 32/21
| 32/21
|
| 50/33
| 50/33
|
| 29/19, (44/29)
| 29/19, (44/29)
|-
|-
Line 563: Line 563:
| 192/125
| 192/125
| 49/32
| 49/32
|
| 20/13
| 20/13
|
| 23/15, (26/17)
| 23/15, (26/17)
|-
|-
Line 572: Line 572:
| 125/81
| 125/81
| 54/35
| 54/35
|
| 20/13
| 20/13
|
| (17/11)
| (17/11)
|-
|-
Line 581: Line 581:
| 972/625
| 972/625
| 14/9
| 14/9
|  
|
|  
|
|  
|  
|-
|-
Line 590: Line 590:
| 25/16
| 25/16
| "
| "
|
| 11/7
| 11/7
|
| 36/23
| 36/23
|-
|-
Line 599: Line 599:
| 128/81
| 128/81
| 63/40
| 63/40
| 52/33
| 11/7, 52/33
| 11/7, 52/33
| 52/33
|  
|  
|-
|-
Line 608: Line 608:
| 405/256
| 405/256
| 100/63
| 100/63
|  
|
|  
|
| 27/17, 46/29
| 27/17, 46/29
|-
|-
Line 617: Line 617:
| '''8/5'''
| '''8/5'''
| "
| "
|  
|
|  
|
|  
|  
|-
|-
Line 626: Line 626:
| 3125/1944
| 3125/1944
| 45/28
| 45/28
|
| 21/13
| 21/13
|
| 29/18
| 29/18
|-
|-
Line 635: Line 635:
| 81/50
| 81/50
| "
| "
|
| '''13/8''', 21/13, 44/27
| '''13/8''', 21/13, 44/27
|
| 34/21
| 34/21
|-
|-
Line 644: Line 644:
| 625/384
| 625/384
| 49/30, 80/49
| 49/30, 80/49
|
| '''13/8''', 18/11, 44/27, 64/39
| '''13/8''', 18/11, 44/27, 64/39
|
|  
|  
|-
|-
Line 653: Line 653:
| 400/243
| 400/243
| 105/64
| 105/64
|
| 18/11, 33/20, 64/39
| 18/11, 33/20, 64/39
|
| 28/17, 23/14
| 28/17, 23/14
|-
|-
Line 662: Line 662:
| 3375/2048
| 3375/2048
| 81/49
| 81/49
|
| 33/20
| 33/20
|
| 38/23, 48/29
| 38/23, 48/29
|-
|-
Line 671: Line 671:
| 5/3
| 5/3
| "
| "
|  
|
|  
|
|  
|  
|-
|-
Line 680: Line 680:
| 2048/1215
| 2048/1215
| 42/25
| 42/25
|  
|
|  
|
| '''32/19'''
| '''32/19'''
|-
|-
Line 689: Line 689:
| 27/16
| 27/16
| "
| "
| 22/13
| 22/13, 56/33
| 22/13, 56/33
| 22/13
|  
|  
|-
|-
Line 698: Line 698:
| 128/75
| 128/75
| "
| "
|
| 56/33
| 56/33
|
| 17/10, 29/17, 46/27
| 17/10, 29/17, 46/27
|-
|-
Line 707: Line 707:
| 1250/729
| 1250/729
| 12/7
| 12/7
|  
|
|  
|
|  
|  
|-
|-
Line 716: Line 716:
| 216/125
| 216/125
| 140/81
| 140/81
|
| 26/15
| 26/15
|
| (19/11)
| (19/11)
|-
|-
Line 725: Line 725:
| 125/72
| 125/72
| 26/15
| 26/15
|  
|
|  
|
| 40/23
| 40/23
|-
|-
Line 734: Line 734:
| 1280/729
| 1280/729
| '''7/4'''
| '''7/4'''
|
| 44/25
| 44/25
|
|  
|  
|-
|-
Line 743: Line 743:
| 225/128
| 225/128
| "
| "
|
| 44/25
| 44/25
|
| (23/13), 30/17
| (23/13), 30/17
|-
|-
Line 752: Line 752:
| 16/9
| 16/9
| "
| "
|  
|
|  
|
|  
|  
|-
|-
Line 761: Line 761:
| 3645/2048
| 3645/2048
| 25/14
| 25/14
|  
|
|  
|
| 34/19
| 34/19
|-
|-
Line 770: Line 770:
| 9/5
| 9/5
| "
| "
|  
|
|  
|
| (52/29)
| (52/29)
|-
|-
Line 779: Line 779:
| 2048/1125
| 2048/1125
| 49/27
| 49/27
|
| 20/11
| 20/11
|
| '''29/16'''
| '''29/16'''
|-
|-
Line 788: Line 788:
| 729/400
| 729/400
| 64/35
| 64/35
|
| 11/6, 20/11
| 11/6, 20/11
|
| 42/23
| 42/23
|-
|-
Line 797: Line 797:
| 1152/625
| 1152/625
| 90/49
| 90/49
|
| 11/6, 24/13
| 11/6, 24/13
|
| 46/25
| 46/25
|-
|-
Line 806: Line 806:
| 50/27
| 50/27
| "
| "
|
| 13/7, 24/13
| 13/7, 24/13
|
|  
|  
|-
|-
Line 815: Line 815:
| 4096/2187
| 4096/2187
| 28/15
| 28/15
|
| 13/7
| 13/7
|
| 54/29
| 54/29
|-
|-
Line 824: Line 824:
| 15/8
| 15/8
| "
| "
|  
|
|  
|
| '''32/17'''
| '''32/17'''
|-
|-
Line 833: Line 833:
| 256/135
| 256/135
| 189/100
| 189/100
|  
|
|  
|
| 17/9, 36/19
| 17/9, 36/19
|-
|-
Line 842: Line 842:
| 243/128
| 243/128
| 40/21
| 40/21
|  
|
|  
|
| 19/10
| 19/10
|-
|-
Line 851: Line 851:
| 48/25
| 48/25
| "
| "
| 52/27
| 25/13
| 25/13
| 52/27
| 23/12, (44/23)
| 23/12, (44/23)
|-
|-
Line 860: Line 860:
| 625/324
| 625/324
| 27/14
| 27/14
| 25/13
| 52/27, 64/33
| 52/27, 64/33
| 25/13
| 29/15, 56/29
| 29/15, 56/29
|-
|-
Line 869: Line 869:
| 243/125
| 243/125
| 35/18
| 35/18
|
| 39/20, 64/33, 88/45
| 39/20, 64/33, 88/45
|
|  
|  
|-
|-
Line 878: Line 878:
| 125/64
| 125/64
| 49/25, 96/49
| 49/25, 96/49
| 55/28
| 39/20, 88/45, 108/55
| 39/20, 88/45, 108/55
| 55/28
| 45/23, 100/51, 112/57
| 45/23, 100/51, 112/57
|-
|-
Line 887: Line 887:
| 160/81
| 160/81
| 63/32
| 63/32
| 65/33, 77/39, 108/55
| 55/28, 65/33, 77/39
| 55/28, 65/33, 77/39
| 65/33, 77/39, 108/55
| 57/29, 69/35, 75/38, 136/69
| 57/29, 69/35, 75/38, 136/69
|-
|-
Line 896: Line 896:
| 2025/1024
| 2025/1024
| 125/63
| 125/63
|  
|
|  
|
|  
|  
|-
|-
Retrieved from "https://en.xen.wiki/w/Table_of_99edo_intervals"