Table of 105edo intervals: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
← Older edit
VisualWikitext
Fredg999 category edits (talk | contribs)
autopatrolled, Bots, emailconfirmed
4,330 edits
No edit summary
 
(3 intermediate revisions by 2 users not shown)
Line 1: Line 1:
A table of the [[interval]]s available in [[105edo]].
{| class="wikitable"
{| class="wikitable"
|-
|-
|Cents
| | Step
| | Step
| | Five limit
| | 5-limit
| | Seven limit
| | 7-limit
| | Eleven limit
| | 11-limit
| | Thirteen limit
| | 13-limit
|-
|-
|11.42857143
| | 1
| | 1
| | ?
| | ?
Line 13: Line 17:
| | 66/65
| | 66/65
|-
|-
|22.85714286
| | 2
| | 2
| | ?
| | ?
Line 19: Line 24:
| | 78/77
| | 78/77
|-
|-
|34.28571429
| | 3
| | 3
| | 128/125
| | 128/125
Line 25: Line 31:
| | 36/35
| | 36/35
|-
|-
|45.71428571
| | 4
| | 4
| | 3125/3072
| | 3125/3072
Line 31: Line 38:
| | 27/26
| | 27/26
|-
|-
|57.14285714
| | 5
| | 5
| | ?
| | ?
Line 37: Line 45:
| | 121/117
| | 121/117
|-
|-
|68.57142857
| | 6
| | 6
| | 16384/15625
| | 16384/15625
Line 43: Line 52:
| | 26/25
| | 26/25
|-
|-
|80
| | 7
| | 7
| | 25/24
| | 25/24
Line 49: Line 59:
| | 21/20
| | 21/20
|-
|-
|91.42857143
| | 8
| | 8
| | ?
| | ?
Line 55: Line 66:
| | 55/52
| | 55/52
|-
|-
|102.8571429
| | 9
| | 9
| | ?
| | ?
Line 61: Line 73:
| | 52/49
| | 52/49
|-
|-
|114.2857143
| | 10
| | 10
| | 16/15
| | 16/15
Line 67: Line 80:
| | 15/14
| | 15/14
|-
|-
|125.7142857
| | 11
| | 11
| | 78125/73728
| | 78125/73728
Line 73: Line 87:
| | 14/13
| | 14/13
|-
|-
|137.1428571
| | 12
| | 12
| | ?
| | ?
Line 79: Line 94:
| | 130/121
| | 130/121
|-
|-
|148.5714286
| | 13
| | 13
| | 2048/1875
| | 2048/1875
Line 85: Line 101:
| | 12/11
| | 12/11
|-
|-
|160
| | 14
| | 14
| | 625/576
| | 625/576
Line 91: Line 108:
| | 11/10
| | 11/10
|-
|-
|171.4285714
| | 15
| | 15
| | ?
| | ?
Line 97: Line 115:
| | 169/154
| | 169/154
|-
|-
|182.8571429
| | 16
| | 16
| | ?
| | ?
Line 103: Line 122:
| | 39/35
| | 39/35
|-
|-
|194.2857143
| | 17
| | 17
| | 9/8
| | 9/8
Line 109: Line 129:
| | 9/8
| | 9/8
|-
|-
|205.7142857
| | 18
| | 18
| | ?
| | ?
Line 115: Line 136:
| | 44/39
| | 44/39
|-
|-
|217.1428571
| | 19
| | 19
| | ?
| | ?
Line 121: Line 143:
| | 169/150
| | 169/150
|-
|-
|228.5714286
| | 20
| | 20
| | 144/125
| | 144/125
Line 127: Line 150:
| | 8/7
| | 8/7
|-
|-
|240
| | 21
| | 21
| | 9375/8192
| | 9375/8192
Line 133: Line 157:
| | 15/13
| | 15/13
|-
|-
|251.4285714
| | 22
| | 22
| | ?
| | ?
Line 139: Line 164:
| | 121/104
| | 121/104
|-
|-
|262.8571429
| | 23
| | 23
| | 18432/15625
| | 18432/15625
Line 145: Line 171:
| | 52/45
| | 52/45
|-
|-
|274.2857143
| | 24
| | 24
| | 75/64
| | 75/64
Line 151: Line 178:
| | 7/6
| | 7/6
|-
|-
|285.7142857
| | 25
| | 25
| | ?
| | ?
Line 157: Line 185:
| | 77/65
| | 77/65
|-
|-
|297.1428571
| | 26
| | 26
| | ?
| | ?
Line 163: Line 192:
| | 13/11
| | 13/11
|-
|-
|308.5714286
| | 27
| | 27
| | 6/5
| | 6/5
Line 169: Line 199:
| | 6/5
| | 6/5
|-
|-
|320
| | 28
| | 28
| | 78125/65536
| | 78125/65536
Line 175: Line 206:
| | 63/52
| | 63/52
|-
|-
|331.4285714
| | 29
| | 29
| | ?
| | ?
Line 181: Line 213:
| | 169/140
| | 169/140
|-
|-
|342.8571429
| | 30
| | 30
| | 768/625
| | 768/625
Line 187: Line 220:
| | 27/22
| | 27/22
|-
|-
|354.2857143
| | 31
| | 31
| | 625/512
| | 625/512
Line 193: Line 227:
| | 11/9
| | 11/9
|-
|-
|365.7142857
| | 32
| | 32
| | ?
| | ?
Line 199: Line 234:
| | 210/169
| | 210/169
|-
|-
|377.1428571
| | 33
| | 33
| | 98304/78125
| | 98304/78125
Line 205: Line 241:
| | 26/21
| | 26/21
|-
|-
|388.5714286
| | 34
| | 34
| | 5/4
| | 5/4
Line 211: Line 248:
| | 5/4
| | 5/4
|-
|-
|400
| | 35
| | 35
| | ?
| | ?
Line 217: Line 255:
| | 33/26
| | 33/26
|-
|-
|411.4285714
| | 36
| | 36
| | ?
| | ?
Line 223: Line 262:
| | 169/135
| | 169/135
|-
|-
|422.8571429
| | 37
| | 37
| | 32/25
| | 32/25
Line 229: Line 269:
| | 9/7
| | 9/7
|-
|-
|434.2857143
| | 38
| | 38
| | 15625/12288
| | 15625/12288
Line 235: Line 276:
| | 50/39
| | 50/39
|-
|-
|445.7142857
| | 39
| | 39
| | ?
| | ?
Line 241: Line 283:
| | 156/121
| | 156/121
|-
|-
|457.1428571
| | 40
| | 40
| | 4096/3125
| | 4096/3125
Line 247: Line 290:
| | 13/10
| | 13/10
|-
|-
|468.5714286
| | 41
| | 41
| | 125/96
| | 125/96
Line 253: Line 297:
| | 21/16
| | 21/16
|-
|-
|480
| | 42
| | 42
| | ?
| | ?
Line 259: Line 304:
| | 121/91
| | 121/91
|-
|-
|491.4285714
| | 43
| | 43
| | ?
| | ?
Line 265: Line 311:
| | 65/49
| | 65/49
|-
|-
|502.8571429
| | 44
| | 44
| | 4/3
| | 4/3
Line 271: Line 318:
| | 4/3
| | 4/3
|-
|-
|514.2857143
| | 45
| | 45
| | ?
| | ?
Line 277: Line 325:
| | 35/26
| | 35/26
|-
|-
|525.7142857
| | 46
| | 46
| | ?
| | ?
Line 283: Line 332:
| | 104/77
| | 104/77
|-
|-
|537.1428571
| | 47
| | 47
| | 512/375
| | 512/375
Line 289: Line 339:
| | 15/11
| | 15/11
|-
|-
|548.5714286
| | 48
| | 48
| | 3125/2304
| | 3125/2304
Line 295: Line 346:
| | 11/8
| | 11/8
|-
|-
|560
| | 49
| | 49
| | ?
| | ?
Line 301: Line 353:
| | 338/245
| | 338/245
|-
|-
|571.4285714
| | 50
| | 50
| | 65536/46875
| | 65536/46875
Line 307: Line 360:
| | 39/28
| | 39/28
|-
|-
|582.8571429
| | 51
| | 51
| | 25/18
| | 25/18
Line 313: Line 367:
| | 7/5
| | 7/5
|-
|-
|594.2857143
| | 52
| | 52
| | ?
| | ?
Line 319: Line 374:
| | 55/39
| | 55/39
|-
|-
|605.7142857
| | 53
| | 53
| | ?
| | ?
Line 325: Line 381:
| | 78/55
| | 78/55
|-
|-
|617.1428571
| | 54
| | 54
| | 36/25
| | 36/25
Line 331: Line 388:
| | 10/7
| | 10/7
|-
|-
|628.5714286
| | 55
| | 55
| | 46875/32768
| | 46875/32768
Line 337: Line 395:
| | 56/39
| | 56/39
|-
|-
|640
| | 56
| | 56
| | ?
| | ?
Line 343: Line 402:
| | 245/169
| | 245/169
|-
|-
|651.4285714
| | 57
| | 57
| | 4608/3125
| | 4608/3125
Line 349: Line 409:
| | 13/9
| | 13/9
|-
|-
|662.8571429
| | 58
| | 58
| | 375/256
| | 375/256
Line 355: Line 416:
| | 22/15
| | 22/15
|-
|-
|674.2857143
| | 59
| | 59
| | ?
| | ?
Line 361: Line 423:
| | 77/52
| | 77/52
|-
|-
|685.7142857
| | 60
| | 60
| | ?
| | ?
Line 367: Line 430:
| | 52/35
| | 52/35
|-
|-
|697.1428571
| | 61
| | 61
| | 3/2
| | 3/2
Line 373: Line 437:
| | 3/2
| | 3/2
|-
|-
|708.5714286
| | 62
| | 62
| | ?
| | ?
Line 379: Line 444:
| | 98/65
| | 98/65
|-
|-
|720
| | 63
| | 63
| | ?
| | ?
Line 385: Line 451:
| | 117/77
| | 117/77
|-
|-
|731.4285714
| | 64
| | 64
| | 192/125
| | 192/125
Line 391: Line 458:
| | 32/21
| | 32/21
|-
|-
|742.8571429
| | 65
| | 65
| | 3125/2048
| | 3125/2048
Line 397: Line 465:
| | 20/13
| | 20/13
|-
|-
|754.2857143
| | 66
| | 66
| | ?
| | ?
Line 403: Line 472:
| | 121/78
| | 121/78
|-
|-
|765.7142857
| | 67
| | 67
| | 24576/15625
| | 24576/15625
Line 409: Line 479:
| | 39/25
| | 39/25
|-
|-
|777.1428571
| | 68
| | 68
| | 25/16
| | 25/16
Line 415: Line 486:
| | 11/7
| | 11/7
|-
|-
|788.5714286
| | 69
| | 69
| | ?
| | ?
Line 421: Line 493:
| | 165/104
| | 165/104
|-
|-
|800
| | 70
| | 70
| | ?
| | ?
Line 427: Line 500:
| | 52/33
| | 52/33
|-
|-
|811.4285714
| | 71
| | 71
| | 8/5
| | 8/5
Line 433: Line 507:
| | 8/5
| | 8/5
|-
|-
|822.8571429
| | 72
| | 72
| | 78125/49152
| | 78125/49152
Line 439: Line 514:
| | 21/13
| | 21/13
|-
|-
|834.2857143
| | 73
| | 73
| | ?
| | ?
Line 445: Line 521:
| | 169/105
| | 169/105
|-
|-
|845.7142857
| | 74
| | 74
| | 1024/625
| | 1024/625
Line 451: Line 528:
| | 13/8
| | 13/8
|-
|-
|857.1428571
| | 75
| | 75
| | 625/384
| | 625/384
Line 457: Line 535:
| | 33/20
| | 33/20
|-
|-
|868.5714286
| | 76
| | 76
| | ?
| | ?
Line 463: Line 542:
| | 280/169
| | 280/169
|-
|-
|880
| | 77
| | 77
| | ?
| | ?
Line 469: Line 549:
| | 91/55
| | 91/55
|-
|-
|891.4285714
| | 78
| | 78
| | 5/3
| | 5/3
Line 475: Line 556:
| | 5/3
| | 5/3
|-
|-
|902.8571429
| | 79
| | 79
| | ?
| | ?
Line 481: Line 563:
| | 22/13
| | 22/13
|-
|-
|914.2857143
| | 80
| | 80
| | ?
| | ?
Line 487: Line 570:
| | 130/77
| | 130/77
|-
|-
|925.7142857
| | 81
| | 81
| | 128/75
| | 128/75
Line 493: Line 577:
| | 12/7
| | 12/7
|-
|-
|937.1428571
| | 82
| | 82
| | 15625/9216
| | 15625/9216
Line 499: Line 584:
| | 45/26
| | 45/26
|-
|-
|948.5714286
| | 83
| | 83
| | ?
| | ?
Line 505: Line 591:
| | 169/98
| | 169/98
|-
|-
|960
| | 84
| | 84
| | 16384/9375
| | 16384/9375
Line 511: Line 598:
| | 26/15
| | 26/15
|-
|-
|971.4285714
| | 85
| | 85
| | 125/72
| | 125/72
Line 517: Line 605:
| | 7/4
| | 7/4
|-
|-
|982.8571429
| | 86
| | 86
| | ?
| | ?
Line 523: Line 612:
| | 231/130
| | 231/130
|-
|-
|994.2857143
| | 87
| | 87
| | ?
| | ?
Line 529: Line 619:
| | 39/22
| | 39/22
|-
|-
|1005.714286
| | 88
| | 88
| | 9/5
| | 9/5
Line 535: Line 626:
| | 9/5
| | 9/5
|-
|-
|1017.142857
| | 89
| | 89
| | ?
| | ?
Line 541: Line 633:
| | 70/39
| | 70/39
|-
|-
|1028.571429
| | 90
| | 90
| | ?
| | ?
Line 547: Line 640:
| | 308/169
| | 308/169
|-
|-
|1040
| | 91
| | 91
| | 1152/625
| | 1152/625
Line 553: Line 647:
| | 20/11
| | 20/11
|-
|-
|1051.428571
| | 92
| | 92
| | 1875/1024
| | 1875/1024
Line 559: Line 654:
| | 11/6
| | 11/6
|-
|-
|1062.857143
| | 93
| | 93
| | ?
| | ?
Line 565: Line 661:
| | 121/65
| | 121/65
|-
|-
|1074.285714
| | 94
| | 94
| | ?
| | ?
Line 571: Line 668:
| | 13/7
| | 13/7
|-
|-
|1085.714286
| | 95
| | 95
| | 15/8
| | 15/8
Line 577: Line 675:
| | 15/8
| | 15/8
|-
|-
|1097.142857
| | 96
| | 96
| | ?
| | ?
Line 583: Line 682:
| | 49/26
| | 49/26
|-
|-
|1108.571429
| | 97
| | 97
| | ?
| | ?
Line 589: Line 689:
| | 104/55
| | 104/55
|-
|-
|1120
| | 98
| | 98
| | 48/25
| | 48/25
Line 595: Line 696:
| | 21/11
| | 21/11
|-
|-
|1131.428571
| | 99
| | 99
| | 15625/8192
| | 15625/8192
Line 601: Line 703:
| | 25/13
| | 25/13
|-
|-
|1142.857143
| | 100
| | 100
| | ?
| | ?
Line 607: Line 710:
| | 169/88
| | 169/88
|-
|-
|1154.285714
| | 101
| | 101
| | 6144/3125
| | 6144/3125
Line 613: Line 717:
| | 39/20
| | 39/20
|-
|-
|1165.714286
| | 102
| | 102
| | 125/64
| | 125/64
Line 619: Line 724:
| | 35/18
| | 35/18
|-
|-
|1177.142857
| | 103
| | 103
| | ?
| | ?
Line 625: Line 731:
| | 77/39
| | 77/39
|-
|-
|1188.571429
| | 104
| | 104
| | ?
| | ?
Line 631: Line 738:
| | 65/33
| | 65/33
|-
|-
|1200
| | 105
| | 105
| | 2/1
| | 2/1
Line 636: Line 744:
| | 2/1
| | 2/1
| | 2/1
| | 2/1
|-
|1211.428571
|
|
|
|
|
|}
|}


[[Category:Lists of intervals]]
[[Category:Tables of edo intervals]]
[[Category:105edo]]
[[Category:105edo]]

Latest revision as of 02:25, 14 April 2025

A table of the intervals available in 105edo.

Cents Step 5-limit 7-limit 11-limit 13-limit
11.42857143 1 ? 1029/1024 121/120 66/65
22.85714286 2 ? 12288/12005 864/847 78/77
34.28571429 3 128/125 36/35 36/35 36/35
45.71428571 4 3125/3072 49/48 33/32 27/26
57.14285714 5 ? 16807/16384 1331/1280 121/117
68.57142857 6 16384/15625 256/245 80/77 26/25
80 7 25/24 21/20 21/20 21/20
91.42857143 8 ? 2401/2304 539/512 55/52
102.8571429 9 ? 2560/2401 128/121 52/49
114.2857143 10 16/15 15/14 15/14 15/14
125.7142857 11 78125/73728 343/320 77/72 14/13
137.1428571 12 ? 18432/16807 1440/1331 130/121
148.5714286 13 2048/1875 54/49 12/11 12/11
160 14 625/576 35/32 11/10 11/10
171.4285714 15 ? 16807/15360 847/768 169/154
182.8571429 16 ? 384/343 135/121 39/35
194.2857143 17 9/8 9/8 9/8 9/8
205.7142857 18 ? 1715/1536 121/108 44/39
217.1428571 19 ? 8192/7203 960/847 169/150
228.5714286 20 144/125 8/7 8/7 8/7
240 21 9375/8192 147/128 55/48 15/13
251.4285714 22 ? 84035/73728 1331/1152 121/104
262.8571429 23 18432/15625 288/245 64/55 52/45
274.2857143 24 75/64 7/6 7/6 7/6
285.7142857 25 ? 2401/2048 605/512 77/65
297.1428571 26 ? 2048/1715 144/121 13/11
308.5714286 27 6/5 6/5 6/5 6/5
320 28 78125/65536 343/288 77/64 63/52
331.4285714 29 ? 20480/16807 1024/847 169/140
342.8571429 30 768/625 60/49 27/22 27/22
354.2857143 31 625/512 49/40 11/9 11/9
365.7142857 32 ? 16807/13824 1331/1080 210/169
377.1428571 33 98304/78125 432/343 96/77 26/21
388.5714286 34 5/4 5/4 5/4 5/4
400 35 ? 2401/1920 121/96 33/26
411.4285714 36 ? 3072/2401 768/605 169/135
422.8571429 37 32/25 9/7 9/7 9/7
434.2857143 38 15625/12288 245/192 77/60 50/39
445.7142857 39 ? 65536/50421 1331/1024 156/121
457.1428571 40 4096/3125 64/49 64/49 13/10
468.5714286 41 125/96 21/16 21/16 21/16
480 42 ? 12005/9216 847/640 121/91
491.4285714 43 ? 2304/1715 160/121 65/49
502.8571429 44 4/3 4/3 4/3 4/3
514.2857143 45 ? 343/256 121/90 35/26
525.7142857 46 ? 16384/12005 1152/847 104/77
537.1428571 47 512/375 48/35 15/11 15/11
548.5714286 48 3125/2304 49/36 11/8 11/8
560 49 ? 16807/12288 1331/960 338/245
571.4285714 50 65536/46875 480/343 108/77 39/28
582.8571429 51 25/18 7/5 7/5 7/5
594.2857143 52 ? 2401/1728 363/256 55/39
605.7142857 53 ? 3456/2401 512/363 78/55
617.1428571 54 36/25 10/7 10/7 10/7
628.5714286 55 46875/32768 343/240 77/54 56/39
640 56 ? 24576/16807 1920/1331 245/169
651.4285714 57 4608/3125 72/49 16/11 13/9
662.8571429 58 375/256 35/24 22/15 22/15
674.2857143 59 ? 12005/8192 847/576 77/52
685.7142857 60 ? 512/343 180/121 52/35
697.1428571 61 3/2 3/2 3/2 3/2
708.5714286 62 ? 1715/1152 121/80 98/65
720 63 ? 18432/12005 1280/847 117/77
731.4285714 64 192/125 32/21 32/21 32/21
742.8571429 65 3125/2048 49/32 49/32 20/13
754.2857143 66 ? 50421/32768 1331/864 121/78
765.7142857 67 24576/15625 384/245 120/77 39/25
777.1428571 68 25/16 14/9 11/7 11/7
788.5714286 69 ? 2401/1536 605/384 165/104
800 70 ? 3840/2401 192/121 52/33
811.4285714 71 8/5 8/5 8/5 8/5
822.8571429 72 78125/49152 343/216 77/48 21/13
834.2857143 73 ? 27648/16807 2160/1331 169/105
845.7142857 74 1024/625 80/49 18/11 13/8
857.1428571 75 625/384 49/30 33/20 33/20
868.5714286 76 ? 16807/10240 847/512 280/169
880 77 ? 576/343 128/77 91/55
891.4285714 78 5/3 5/3 5/3 5/3
902.8571429 79 ? 1715/1024 121/72 22/13
914.2857143 80 ? 4096/2401 1024/605 130/77
925.7142857 81 128/75 12/7 12/7 12/7
937.1428571 82 15625/9216 245/144 55/32 45/26
948.5714286 83 ? 84035/49152 1331/768 169/98
960 84 16384/9375 256/147 96/55 26/15
971.4285714 85 125/72 7/4 7/4 7/4
982.8571429 86 ? 7203/4096 847/480 231/130
994.2857143 87 ? 3072/1715 216/121 39/22
1005.714286 88 9/5 9/5 9/5 9/5
1017.142857 89 ? 343/192 231/128 70/39
1028.571429 90 ? 30720/16807 1536/847 308/169
1040 91 1152/625 64/35 20/11 20/11
1051.428571 92 1875/1024 49/27 11/6 11/6
1062.857143 93 ? 16807/9216 1331/720 121/65
1074.285714 94 ? 640/343 144/77 13/7
1085.714286 95 15/8 15/8 15/8 15/8
1097.142857 96 ? 2401/1280 121/64 49/26
1108.571429 97 ? 4608/2401 1024/539 104/55
1120 98 48/25 27/14 21/11 21/11
1131.428571 99 15625/8192 245/128 77/40 25/13
1142.857143 100 ? 32768/16807 2560/1331 169/88
1154.285714 101 6144/3125 96/49 64/33 39/20
1165.714286 102 125/64 35/18 35/18 35/18
1177.142857 103 ? 12005/6144 847/432 77/39
1188.571429 104 ? 2048/1029 240/121 65/33
1200 105 2/1 2/1 2/1 2/1
1211.428571
Retrieved from "https://en.xen.wiki/index.php?title=Table_of_105edo_intervals&oldid=192025"