Xenharmonic Wiki

Table of 99edo intervals: Difference between revisions

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26/25 is not a 7-limit interval
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m swap these columns since the sharp extension is more related to higher limits
 
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Line 1: Line 1:
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'''.  
{{Breadcrumb|99edo}}
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'''. The higher-limit extension works best with the sharp mappings of 11 and 13, and higher-limit ratios that include 11 and 13 using these mappings are marked with parentheses.  


{| class="wikitable center-1 right-2 center-3"
{| class="wikitable center-1 right-2 center-3"
Line 8: 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 22: Line 23:
| 2048/2025
| 2048/2025
| 126/125
| 126/125
|  
|
|  
|
|  
|  
|-
|-
Line 31: 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 40: 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 49: 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 58: 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 67: Line 68:
| 25/24
| 25/24
| "
| "
| 22/21, 27/26
| 26/25
| 26/25
| 22/21, 27/26
| (23/22), 24/23
| 24/23
|-
|-
| 7
| 7
Line 76: Line 77:
| 256/243
| 256/243
| 21/20
| 21/20
|
| 22/21
| 22/21
|
| 20/19
| 20/19
|-
|-
Line 85: Line 86:
| 135/128
| 135/128
| "
| "
|  
|
|  
|
| 18/17, 19/18
| 18/17, 19/18
|-
|-
Line 94: Line 95:
| 16/15
| 16/15
| "
| "
|  
|
|  
|
| '''17/16'''
| '''17/16'''
|-
|-
Line 103: Line 104:
| 2187/2048
| 2187/2048
| 15/14
| 15/14
|
| 14/13
| 14/13
|
| 29/27
| 29/27
|-
|-
Line 112: Line 113:
| 27/25
| 27/25
| "
| "
|
| 13/12, 14/13
| 13/12, 14/13
|
|  
|  
|-
|-
Line 121: Line 122:
| 625/576
| 625/576
| 49/45
| 49/45
|
| 12/11, 13/12
| 12/11, 13/12
|  
| 25/23
|
|-
|-
| 13
| 13
Line 130: Line 131:
| 800/729
| 800/729
| 35/32
| 35/32
|
| 11/10, 12/11
| 11/10, 12/11
|
| 23/21
| 23/21
|-
|-
Line 139: Line 140:
| 1125/1024
| 1125/1024
| 54/49
| 54/49
|
| 11/10
| 11/10
|
| 21/19, '''32/29'''
| 21/19, '''32/29'''
|-
|-
Line 148: Line 149:
| 10/9
| 10/9
| "
| "
|  
|
|  
|
|  
| (29/26)
|-
|-
| 16
| 16
Line 157: Line 158:
| 4096/3645
| 4096/3645
| 28/25
| 28/25
|  
|
|  
|
| 19/17
| 19/17
|-
|-
Line 166: Line 167:
| 9/8
| 9/8
| "
| "
|  
|
|  
|
|  
|  
|-
|-
Line 175: Line 176:
| 256/225
| 256/225
| 245/216
| 245/216
|
| 25/22
| 25/22
|
| 17/15, (26/23)
| 17/15
|-
|-
| 19
| 19
Line 184: Line 185:
| 729/640
| 729/640
| '''8/7'''
| '''8/7'''
|
| 25/22
| 25/22
|
|  
|  
|-
|-
Line 193: Line 194:
| 144/125
| 144/125
| "
| "
|
| 15/13
| 15/13
|
| 23/20
| 23/20
|-
|-
Line 202: Line 203:
| 125/108
| 125/108
| 81/70
| 81/70
|
| 15/13
| 15/13
|  
|
| (22/19)
|-
|-
| 22
| 22
Line 211: Line 212:
| 729/625
| 729/625
| 7/6
| 7/6
|  
|
|  
|
|  
|  
|-
|-
Line 220: Line 221:
| 75/64
| 75/64
| "
| "
|
| 33/28
| 33/28
|
| 20/17, 27/23, 34/29
| 20/17, 27/23, 34/29
|-
|-
Line 229: Line 230:
| 32/27
| 32/27
| "
| "
| 13/11
| 13/11, 33/28
| 13/11, 33/28
| 13/11
|  
|  
|-
|-
Line 238: Line 239:
| 1215/1024
| 1215/1024
| 25/21
| 25/21
|  
|
|  
|
| '''19/16'''
| '''19/16'''
|-
|-
Line 247: Line 248:
| 6/5
| 6/5
| "
| "
|  
|
|  
|
|  
|  
|-
|-
Line 256: Line 257:
| 3125/2592
| 3125/2592
| 98/81
| 98/81
|
| 40/33
| 40/33
|
| 23/19, 29/24
| 23/19, 29/24
|-
|-
Line 265: 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 274: 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 283: Line 284:
| 100/81
| 100/81
| "
| "
|
| '''16/13''', 26/21, 27/22
| '''16/13''', 26/21, 27/22
|
| 21/17
| 21/17
|-
|-
Line 292: Line 293:
| 3888/3125
| 3888/3125
| 56/45
| 56/45
|
| 26/21
| 26/21
|
| 36/29
| 36/29
|-
|-
Line 301: Line 302:
| '''5/4'''
| '''5/4'''
| "
| "
|  
|
|  
|
|  
|  
|-
|-
Line 310: Line 311:
| 512/405
| 512/405
| 63/50
| 63/50
|  
|
|  
|
| 24/19, 29/23
| 24/19, 29/23
|-
|-
Line 319: 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 328: Line 329:
| 32/25
| 32/25
| "
| "
|
| 14/11
| 14/11
|
| 23/18
| 23/18
|-
|-
Line 337: Line 338:
| 625/486
| 625/486
| 9/7
| 9/7
|  
|
|  
|
|  
|  
|-
|-
Line 346: Line 347:
| 162/125
| 162/125
| 35/27
| 35/27
|
| 13/10
| 13/10
|  
|
| (22/17)
|-
|-
| 38
| 38
Line 355: Line 356:
| 125/96
| 125/96
| 64/49
| 64/49
|
| 13/10
| 13/10
|  
| (17/13), 30/23
| 30/23
|-
|-
| 39
| 39
Line 364: Line 365:
| 320/243
| 320/243
| 21/16
| 21/16
|
| 33/25
| 33/25
| 38/29
|
| (29/22), 38/29
|-
|-
| 40
| 40
Line 373: Line 374:
| 675/512
| 675/512
| 250/189
| 250/189
|
| 33/25
| 33/25
|
|  
|  
|-
|-
Line 382: Line 383:
| '''4/3'''
| '''4/3'''
| "
| "
|  
|
|  
|
|  
|  
|-
|-
Line 391: Line 392:
| 8192/6075
| 8192/6075
| 75/56
| 75/56
|  
|
|  
|
| 51/38
| 51/38
|-
|-
Line 400: Line 401:
| 27/20
| 27/20
| "
| "
|  
|
|  
|
| 23/17
| 23/17
|-
|-
Line 409: Line 410:
| 512/375
| 512/375
| 49/36
| 49/36
|
| 15/11
| 15/11
|
|  
|  
|-
|-
Line 418: Line 419:
| 1000/729
| 1000/729
| 48/35
| 48/35
|
| '''11/8''', 15/11
| '''11/8''', 15/11
|  
|
| (26/19)
|-
|-
| 46
| 46
Line 427: 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 436: Line 437:
| 25/18
| 25/18
| "
| "
|
| 18/13
| 18/13
|
| '''32/23'''
| '''32/23'''
|-
|-
Line 445: Line 446:
| 1024/729
| 1024/729
| 7/5
| 7/5
|  
|
|  
|
|  
|  
|-
|-
Line 454: Line 455:
| 45/32
| 45/32
| "
| "
|  
|
|  
|
| 24/17, 38/27
| 24/17, 38/27
|-
|-
Line 463: Line 464:
| 64/45
| 64/45
| "
| "
|  
|
|  
|
| 17/12, 27/19
| 17/12, 27/19
|-
|-
Line 472: Line 473:
| 729/512
| 729/512
| 10/7
| 10/7
|  
|
|  
|
|  
|  
|-
|-
Line 481: Line 482:
| 36/25
| 36/25
| "
| "
|
| 13/9
| 13/9
|
| '''23/16'''
| '''23/16'''
|-
|-
Line 490: Line 491:
| 625/432
| 625/432
| 81/56
| 81/56
|
| '''16/11'''
| '''16/11'''
|
| 29/20, 42/29
| 29/20, 42/29
|-
|-
Line 499: Line 500:
| 729/500
| 729/500
| 35/24
| 35/24
|
| '''16/11''', 22/15
| '''16/11''', 22/15
|  
|
| (19/13)
|-
|-
| 55
| 55
Line 508: Line 509:
| 375/256
| 375/256
| 72/49
| 72/49
|
| 22/15
| 22/15
|
|  
|  
|-
|-
Line 517: Line 518:
| 40/27
| 40/27
| "
| "
|  
|
|  
|
| 34/23
| 34/23
|-
|-
Line 526: Line 527:
| 6075/4096
| 6075/4096
| 112/75
| 112/75
|  
|
|  
|
| 76/51
| 76/51
|-
|-
Line 535: Line 536:
| '''3/2'''
| '''3/2'''
| "
| "
|  
|
|  
|
|  
|  
|-
|-
Line 544: Line 545:
| 1024/675
| 1024/675
| 189/125
| 189/125
|
| 50/33
| 50/33
|
|  
|  
|-
|-
Line 553: Line 554:
| 243/160
| 243/160
| 32/21
| 32/21
|
| 50/33
| 50/33
| 29/19
|
| 29/19, (44/29)
|-
|-
| 61
| 61
Line 562: Line 563:
| 192/125
| 192/125
| 49/32
| 49/32
|
| 20/13
| 20/13
|
| 23/15, (26/17)
| 23/15
|-
|-
| 62
| 62
Line 571: Line 572:
| 125/81
| 125/81
| 54/35
| 54/35
|
| 20/13
| 20/13
|  
|
| (17/11)
|-
|-
| 63
| 63
Line 580: Line 581:
| 972/625
| 972/625
| 14/9
| 14/9
|  
|
|  
|
|  
|  
|-
|-
Line 589: Line 590:
| 25/16
| 25/16
| "
| "
|
| 11/7
| 11/7
|
| 36/23
| 36/23
|-
|-
Line 598: Line 599:
| 128/81
| 128/81
| 63/40
| 63/40
| 52/33
| 11/7, 52/33
| 11/7, 52/33
| 52/33
|  
|  
|-
|-
Line 607: Line 608:
| 405/256
| 405/256
| 100/63
| 100/63
|  
|
|  
|
| 27/17, 46/29
| 27/17, 46/29
|-
|-
Line 616: Line 617:
| '''8/5'''
| '''8/5'''
| "
| "
|  
|
|  
|
|  
|  
|-
|-
Line 625: Line 626:
| 3125/1944
| 3125/1944
| 45/28
| 45/28
|
| 21/13
| 21/13
|
| 29/18
| 29/18
|-
|-
Line 634: Line 635:
| 81/50
| 81/50
| "
| "
|
| '''13/8''', 21/13, 44/27
| '''13/8''', 21/13, 44/27
|
| 34/21
| 34/21
|-
|-
Line 643: 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 652: 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 661: Line 662:
| 3375/2048
| 3375/2048
| 81/49
| 81/49
|
| 33/20
| 33/20
|
| 38/23, 48/29
| 38/23, 48/29
|-
|-
Line 670: Line 671:
| 5/3
| 5/3
| "
| "
|  
|
|  
|
|  
|  
|-
|-
Line 679: Line 680:
| 2048/1215
| 2048/1215
| 42/25
| 42/25
|  
|
|  
|
| '''32/19'''
| '''32/19'''
|-
|-
Line 688: Line 689:
| 27/16
| 27/16
| "
| "
| 22/13
| 22/13, 56/33
| 22/13, 56/33
| 22/13
|  
|  
|-
|-
Line 697: Line 698:
| 128/75
| 128/75
| "
| "
|
| 56/33
| 56/33
|
| 17/10, 29/17, 46/27
| 17/10, 29/17, 46/27
|-
|-
Line 706: Line 707:
| 1250/729
| 1250/729
| 12/7
| 12/7
|  
|
|  
|
|  
|  
|-
|-
Line 715: Line 716:
| 216/125
| 216/125
| 140/81
| 140/81
|
| 26/15
| 26/15
|  
|
| (19/11)
|-
|-
| 79
| 79
Line 724: Line 725:
| 125/72
| 125/72
| 26/15
| 26/15
|  
|
|  
|
| 40/23
| 40/23
|-
|-
Line 733: Line 734:
| 1280/729
| 1280/729
| '''7/4'''
| '''7/4'''
|
| 44/25
| 44/25
|
|  
|  
|-
|-
Line 742: Line 743:
| 225/128
| 225/128
| "
| "
|
| 44/25
| 44/25
|  
| (23/13), 30/17
| 30/17
|-
|-
| 82
| 82
Line 751: Line 752:
| 16/9
| 16/9
| "
| "
|  
|
|  
|
|  
|  
|-
|-
Line 760: Line 761:
| 3645/2048
| 3645/2048
| 25/14
| 25/14
|  
|
|  
|
| 34/19
| 34/19
|-
|-
Line 769: Line 770:
| 9/5
| 9/5
| "
| "
|  
|
|  
|
|  
| (52/29)
|-
|-
| 85
| 85
Line 778: Line 779:
| 2048/1125
| 2048/1125
| 49/27
| 49/27
|
| 20/11
| 20/11
|
| '''29/16'''
| '''29/16'''
|-
|-
Line 787: Line 788:
| 729/400
| 729/400
| 64/35
| 64/35
|
| 11/6, 20/11
| 11/6, 20/11
|
| 42/23
| 42/23
|-
|-
Line 796: Line 797:
| 1152/625
| 1152/625
| 90/49
| 90/49
|
| 11/6, 24/13
| 11/6, 24/13
|  
| 46/25
|
|-
|-
| 88
| 88
Line 805: Line 806:
| 50/27
| 50/27
| "
| "
|
| 13/7, 24/13
| 13/7, 24/13
|
|  
|  
|-
|-
Line 814: Line 815:
| 4096/2187
| 4096/2187
| 28/15
| 28/15
|
| 13/7
| 13/7
|
| 54/29
| 54/29
|-
|-
Line 823: Line 824:
| 15/8
| 15/8
| "
| "
|  
|
|  
|
| '''32/17'''
| '''32/17'''
|-
|-
Line 832: Line 833:
| 256/135
| 256/135
| 189/100
| 189/100
|  
|
|  
|
| 17/9, 36/19
| 17/9, 36/19
|-
|-
Line 841: Line 842:
| 243/128
| 243/128
| 40/21
| 40/21
|  
|
|  
|
| 19/10
| 19/10
|-
|-
Line 850: Line 851:
| 48/25
| 48/25
| "
| "
| 52/27
| 25/13
| 25/13
| 52/27
| 23/12, (44/23)
| 23/12
|-
|-
| 94
| 94
Line 859: 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 868: Line 869:
| 243/125
| 243/125
| 35/18
| 35/18
|
| 39/20, 64/33, 88/45
| 39/20, 64/33, 88/45
|
|  
|  
|-
|-
Line 877: 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 886: 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 895: Line 896:
| 2025/1024
| 2025/1024
| 125/63
| 125/63
|  
|
|  
|
|  
|  
|-
|-
Retrieved from "https://en.xen.wiki/w/Table_of_99edo_intervals"