Table of 99edo intervals: Difference between revisions

Overhaul to accommodate higher limit extensions and the variable mappings for 11 and 13
BudjarnLambeth (talk | contribs)
 
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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'''.  
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"
{| class="wikitable center-1 right-2 center-3"
|-
|-
! #
! #
! Cents
! Cents
! Marks
! 5-limit
! 5-limit
! 7-limit
! 7-limit
Line 13: Line 14:
| 0
| 0
| 0.00
| 0.00
| P1
| colspan="5" | '''1/1'''
| colspan="5" | '''1/1'''
|-
|-
| 1
| 1
| 12.{{overline|12}}
| 12.{{overline|12}}
|
| 2048/2025
| 2048/2025
| 126/125
| 126/125
Line 25: Line 28:
| 2
| 2
| 24.{{overline|24}}
| 24.{{overline|24}}
|
| 81/80
| 81/80
| 64/63
| 64/63
Line 33: Line 37:
| 3
| 3
| 36.{{overline|36}}
| 36.{{overline|36}}
|
| 128/125
| 128/125
| 49/48, 50/49
| 49/48, 50/49
Line 41: Line 46:
| 4
| 4
| 48.{{overline|48}}
| 48.{{overline|48}}
|
| 250/243
| 250/243
| 36/35
| 36/35
Line 49: Line 55:
| 5
| 5
| 60.{{overline|60}}
| 60.{{overline|60}}
|
| 648/625
| 648/625
| 28/27
| 28/27
Line 57: Line 64:
| 6
| 6
| 72.{{overline|72}}
| 72.{{overline|72}}
|
| 25/24
| 25/24
| 26/25
| 26/25
Line 65: Line 73:
| 7
| 7
| 84.{{overline|84}}
| 84.{{overline|84}}
| m2
| 256/243
| 256/243
| 21/20
| 21/20
Line 73: Line 82:
| 8
| 8
| 96.{{overline|96}}
| 96.{{overline|96}}
|
| 135/128
| 135/128
| "
| "
Line 81: Line 91:
| 9
| 9
| 109.{{overline|09}}
| 109.{{overline|09}}
|
| 16/15
| 16/15
| "
| "
Line 89: Line 100:
| 10
| 10
| 121.{{overline|21}}
| 121.{{overline|21}}
|
| 2187/2048
| 2187/2048
| 15/14
| 15/14
Line 97: Line 109:
| 11
| 11
| 133.{{overline|33}}
| 133.{{overline|33}}
|
| 27/25
| 27/25
| "
| "
Line 105: Line 118:
| 12
| 12
| 145.{{overline|45}}
| 145.{{overline|45}}
|
| 625/576
| 625/576
| 49/45
| 49/45
Line 113: Line 127:
| 13
| 13
| 157.{{overline|57}}
| 157.{{overline|57}}
|
| 800/729
| 800/729
| 35/32
| 35/32
Line 121: Line 136:
| 14
| 14
| 169.{{overline|69}}
| 169.{{overline|69}}
|
| 1125/1024
| 1125/1024
| 54/49
| 54/49
Line 129: Line 145:
| 15
| 15
| 181.{{overline|81}}
| 181.{{overline|81}}
|
| 10/9
| 10/9
| "
| "
Line 137: Line 154:
| 16
| 16
| 193.{{overline|93}}
| 193.{{overline|93}}
|
| 4096/3645
| 4096/3645
| 28/25
| 28/25
Line 145: Line 163:
| 17
| 17
| 206.{{overline|06}}
| 206.{{overline|06}}
| M2
| 9/8
| 9/8
| "
| "
Line 153: Line 172:
| 18
| 18
| 218.{{overline|18}}
| 218.{{overline|18}}
|
| 256/225
| 256/225
| 245/216
| 245/216
Line 161: Line 181:
| 19
| 19
| 230.{{overline|30}}
| 230.{{overline|30}}
|
| 729/640
| 729/640
| '''8/7'''
| '''8/7'''
Line 169: Line 190:
| 20
| 20
| 242.{{overline|42}}
| 242.{{overline|42}}
|
| 144/125
| 144/125
| "
| "
Line 177: Line 199:
| 21
| 21
| 254.{{overline|54}}
| 254.{{overline|54}}
|
| 125/108
| 125/108
| 81/70
| 81/70
Line 185: Line 208:
| 22
| 22
| 266.{{overline|66}}
| 266.{{overline|66}}
|
| 729/625
| 729/625
| 7/6
| 7/6
Line 193: Line 217:
| 23
| 23
| 278.{{overline|78}}
| 278.{{overline|78}}
|
| 75/64
| 75/64
| "
| "
Line 201: Line 226:
| 24
| 24
| 290.{{overline|90}}
| 290.{{overline|90}}
| m3
| 32/27
| 32/27
| "
| "
Line 209: Line 235:
| 25
| 25
| 303.{{overline|03}}
| 303.{{overline|03}}
|
| 1215/1024
| 1215/1024
| 25/21
| 25/21
Line 217: Line 244:
| 26
| 26
| 315.{{overline|15}}
| 315.{{overline|15}}
|
| 6/5
| 6/5
| "
| "
Line 225: Line 253:
| 27
| 27
| 327.{{overline|27}}
| 327.{{overline|27}}
|
| 3125/2592
| 3125/2592
| 98/81
| 98/81
Line 233: Line 262:
| 28
| 28
| 339.{{overline|39}}
| 339.{{overline|39}}
|
| 243/200
| 243/200
| 128/105
| 128/105
Line 241: Line 271:
| 29
| 29
| 351.{{overline|51}}
| 351.{{overline|51}}
|
| 625/512
| 625/512
| 49/40, 60/49
| 49/40, 60/49
Line 249: Line 280:
| 30
| 30
| 363.{{overline|63}}
| 363.{{overline|63}}
|
| 100/81
| 100/81
| "
| "
Line 257: Line 289:
| 31
| 31
| 375.{{overline|75}}
| 375.{{overline|75}}
|
| 3888/3125
| 3888/3125
| 56/45
| 56/45
Line 265: Line 298:
| 32
| 32
| 387.{{overline|87}}
| 387.{{overline|87}}
|
| '''5/4'''
| '''5/4'''
| "
| "
Line 273: Line 307:
| 33
| 33
| 400.00
| 400.00
|
| 512/405
| 512/405
| 63/50
| 63/50
Line 281: Line 316:
| 34
| 34
| 412.{{overline|12}}
| 412.{{overline|12}}
| M3
| 81/64
| 81/64
| 80/63
| 80/63
Line 289: Line 325:
| 35
| 35
| 424.{{overline|24}}
| 424.{{overline|24}}
|
| 32/25
| 32/25
| "
| "
Line 297: Line 334:
| 36
| 36
| 436.{{overline|36}}
| 436.{{overline|36}}
|
| 625/486
| 625/486
| 9/7
| 9/7
Line 305: Line 343:
| 37
| 37
| 448.{{overline|48}}
| 448.{{overline|48}}
|
| 162/125
| 162/125
| 35/27
| 35/27
Line 313: Line 352:
| 38
| 38
| 460.{{overline|60}}
| 460.{{overline|60}}
|
| 125/96
| 125/96
| 64/49
| 64/49
Line 321: Line 361:
| 39
| 39
| 472.{{overline|72}}
| 472.{{overline|72}}
|
| 320/243
| 320/243
| 21/16
| 21/16
Line 329: Line 370:
| 40
| 40
| 484.{{overline|84}}
| 484.{{overline|84}}
|
| 675/512
| 675/512
| 250/189
| 250/189
Line 337: Line 379:
| 41
| 41
| 496.{{overline|96}}
| 496.{{overline|96}}
| P4
| '''4/3'''
| '''4/3'''
| "
| "
Line 345: Line 388:
| 42
| 42
| 509.{{overline|09}}
| 509.{{overline|09}}
|
| 8192/6075
| 8192/6075
| 75/56
| 75/56
Line 353: Line 397:
| 43
| 43
| 521.{{overline|21}}
| 521.{{overline|21}}
|
| 27/20
| 27/20
| "
| "
Line 361: Line 406:
| 44
| 44
| 533.{{overline|33}}
| 533.{{overline|33}}
|
| 512/375
| 512/375
| 49/36
| 49/36
Line 369: Line 415:
| 45
| 45
| 545.{{overline|45}}
| 545.{{overline|45}}
|
| 1000/729
| 1000/729
| 48/35
| 48/35
Line 377: Line 424:
| 46
| 46
| 557.{{overline|57}}
| 557.{{overline|57}}
|
| 864/625
| 864/625
| 112/81
| 112/81
Line 385: Line 433:
| 47
| 47
| 569.{{overline|69}}
| 569.{{overline|69}}
|
| 25/18
| 25/18
| "
| "
Line 393: Line 442:
| 48
| 48
| 581.{{overline|81}}
| 581.{{overline|81}}
| d5
| 1024/729
| 1024/729
| 7/5
| 7/5
Line 401: Line 451:
| 49
| 49
| 593.{{overline|93}}
| 593.{{overline|93}}
|
| 45/32
| 45/32
| "
| "
Line 409: Line 460:
| 50
| 50
| 606.{{overline|06}}
| 606.{{overline|06}}
|
| 64/45
| 64/45
| "
| "
Line 417: Line 469:
| 51
| 51
| 618.{{overline|18}}
| 618.{{overline|18}}
| A4
| 729/512
| 729/512
| 10/7
| 10/7
Line 425: Line 478:
| 52
| 52
| 630.{{overline|30}}
| 630.{{overline|30}}
|
| 36/25
| 36/25
| "
| "
Line 433: Line 487:
| 53
| 53
| 642.{{overline|42}}
| 642.{{overline|42}}
|
| 625/432
| 625/432
| 81/56
| 81/56
Line 441: Line 496:
| 54
| 54
| 654.{{overline|54}}
| 654.{{overline|54}}
|
| 729/500
| 729/500
| 35/24
| 35/24
Line 449: Line 505:
| 55
| 55
| 666.{{overline|66}}
| 666.{{overline|66}}
|
| 375/256
| 375/256
| 72/49
| 72/49
Line 457: Line 514:
| 56
| 56
| 678.{{overline|78}}
| 678.{{overline|78}}
|
| 40/27
| 40/27
| "
| "
Line 465: Line 523:
| 57
| 57
| 690.{{overline|90}}
| 690.{{overline|90}}
|
| 6075/4096
| 6075/4096
| 112/75
| 112/75
Line 473: Line 532:
| 58
| 58
| 703.{{overline|03}}
| 703.{{overline|03}}
| P5
| '''3/2'''
| '''3/2'''
| "
| "
Line 481: Line 541:
| 59
| 59
| 715.{{overline|15}}
| 715.{{overline|15}}
|
| 1024/675
| 1024/675
| 189/125
| 189/125
Line 489: Line 550:
| 60
| 60
| 727.{{overline|27}}
| 727.{{overline|27}}
|
| 243/160
| 243/160
| 32/21
| 32/21
Line 497: Line 559:
| 61
| 61
| 739.{{overline|39}}
| 739.{{overline|39}}
|
| 192/125
| 192/125
| 49/32
| 49/32
Line 505: Line 568:
| 62
| 62
| 751.{{overline|51}}
| 751.{{overline|51}}
|
| 125/81
| 125/81
| 54/35
| 54/35
Line 513: Line 577:
| 63
| 63
| 763.{{overline|63}}
| 763.{{overline|63}}
|
| 972/625
| 972/625
| 14/9
| 14/9
Line 521: Line 586:
| 64
| 64
| 775.{{overline|75}}
| 775.{{overline|75}}
|
| 25/16
| 25/16
| "
| "
Line 529: Line 595:
| 65
| 65
| 787.{{overline|87}}
| 787.{{overline|87}}
| m6
| 128/81
| 128/81
| 63/40
| 63/40
Line 537: Line 604:
| 66
| 66
| 800.00
| 800.00
|
| 405/256
| 405/256
| 100/63
| 100/63
Line 545: Line 613:
| 67
| 67
| 812.{{overline|12}}
| 812.{{overline|12}}
|
| '''8/5'''
| '''8/5'''
| "
| "
Line 553: Line 622:
| 68
| 68
| 824.{{overline|24}}
| 824.{{overline|24}}
|
| 3125/1944
| 3125/1944
| 45/28
| 45/28
Line 561: Line 631:
| 69
| 69
| 836.{{overline|36}}
| 836.{{overline|36}}
|
| 81/50
| 81/50
| "
| "
Line 569: Line 640:
| 70
| 70
| 848.{{overline|48}}
| 848.{{overline|48}}
|
| 625/384
| 625/384
| 49/30, 80/49
| 49/30, 80/49
Line 577: Line 649:
| 71
| 71
| 860.{{overline|60}}
| 860.{{overline|60}}
|
| 400/243
| 400/243
| 105/64
| 105/64
Line 585: Line 658:
| 72
| 72
| 872.{{overline|72}}
| 872.{{overline|72}}
|
| 3375/2048
| 3375/2048
| 81/49
| 81/49
Line 593: Line 667:
| 73
| 73
| 884.{{overline|84}}
| 884.{{overline|84}}
|
| 5/3
| 5/3
| "
| "
Line 601: Line 676:
| 74
| 74
| 896.{{overline|96}}
| 896.{{overline|96}}
|
| 2048/1215
| 2048/1215
| 42/25
| 42/25
Line 609: Line 685:
| 75
| 75
| 909.{{overline|09}}
| 909.{{overline|09}}
| M6
| 27/16
| 27/16
| "
| "
Line 617: Line 694:
| 76
| 76
| 921.{{overline|21}}
| 921.{{overline|21}}
|
| 128/75
| 128/75
| "
| "
Line 625: Line 703:
| 77
| 77
| 933.{{overline|33}}
| 933.{{overline|33}}
|
| 1250/729
| 1250/729
| 12/7
| 12/7
Line 633: Line 712:
| 78
| 78
| 945.{{overline|45}}
| 945.{{overline|45}}
|
| 216/125
| 216/125
| 140/81
| 140/81
Line 641: Line 721:
| 79
| 79
| 957.{{overline|57}}
| 957.{{overline|57}}
|
| 125/72
| 125/72
| 26/15
| 26/15
Line 649: Line 730:
| 80
| 80
| 969.{{overline|69}}
| 969.{{overline|69}}
|
| 1280/729
| 1280/729
| '''7/4'''
| '''7/4'''
Line 657: Line 739:
| 81
| 81
| 981.{{overline|81}}
| 981.{{overline|81}}
|
| 225/128
| 225/128
| "
| "
Line 665: Line 748:
| 82
| 82
| 993.{{overline|93}}
| 993.{{overline|93}}
| m7
| 16/9
| 16/9
| "
| "
Line 673: Line 757:
| 83
| 83
| 1006.{{overline|06}}
| 1006.{{overline|06}}
|
| 3645/2048
| 3645/2048
| 25/14
| 25/14
Line 681: Line 766:
| 84
| 84
| 1018.{{overline|18}}
| 1018.{{overline|18}}
|
| 9/5
| 9/5
| "
| "
Line 689: Line 775:
| 85
| 85
| 1030.{{overline|30}}
| 1030.{{overline|30}}
|
| 2048/1125
| 2048/1125
| 49/27
| 49/27
Line 697: Line 784:
| 86
| 86
| 1042.{{overline|42}}
| 1042.{{overline|42}}
|
| 729/400
| 729/400
| 64/35
| 64/35
Line 705: Line 793:
| 87
| 87
| 1054.{{overline|54}}
| 1054.{{overline|54}}
|
| 1152/625
| 1152/625
| 90/49
| 90/49
Line 713: Line 802:
| 88
| 88
| 1066.{{overline|66}}
| 1066.{{overline|66}}
|
| 50/27
| 50/27
| "
| "
Line 721: Line 811:
| 89
| 89
| 1078.{{overline|78}}
| 1078.{{overline|78}}
|
| 4096/2187
| 4096/2187
| 28/15
| 28/15
Line 729: Line 820:
| 90
| 90
| 1090.{{overline|90}}
| 1090.{{overline|90}}
|
| 15/8
| 15/8
| "
| "
Line 737: Line 829:
| 91
| 91
| 1103.{{overline|03}}
| 1103.{{overline|03}}
|
| 256/135
| 256/135
| 189/100
| 189/100
Line 745: Line 838:
| 92
| 92
| 1115.{{overline|15}}
| 1115.{{overline|15}}
| M7
| 243/128
| 243/128
| 40/21
| 40/21
Line 753: Line 847:
| 93
| 93
| 1127.{{overline|27}}
| 1127.{{overline|27}}
|
| 48/25
| 48/25
| "
| "
Line 761: Line 856:
| 94
| 94
| 1139.{{overline|39}}
| 1139.{{overline|39}}
|
| 625/324
| 625/324
| 27/14
| 27/14
Line 769: Line 865:
| 95
| 95
| 1151.{{overline|51}}
| 1151.{{overline|51}}
|
| 243/125
| 243/125
| 35/18
| 35/18
Line 777: Line 874:
| 96
| 96
| 1163.{{overline|63}}
| 1163.{{overline|63}}
|
| 125/64
| 125/64
| 49/25, 96/49
| 49/25, 96/49
Line 785: Line 883:
| 97
| 97
| 1175.{{overline|75}}
| 1175.{{overline|75}}
|
| 160/81
| 160/81
| 63/32
| 63/32
Line 793: Line 892:
| 98
| 98
| 1187.{{overline|87}}
| 1187.{{overline|87}}
|
| 2025/1024
| 2025/1024
| 125/63
| 125/63
Line 801: Line 901:
| 99
| 99
| 1200.00
| 1200.00
| P8
| colspan="5" | '''2/1'''
| colspan="5" | '''2/1'''
|}
|}


[[Category:Interval collection]]
[[Category:Tables of edo intervals]]
[[Category:99edo]]
[[Category:99edo]]
[[Category:5-limit]]
[[Category:5-limit]]
[[Category:7-limit]]
[[Category:7-limit]]