62edo: Difference between revisions

Notation: collapse the armodue notation table
Intervals: expand
Line 23: Line 23:


== Intervals ==
== Intervals ==
{{Interval table}}
{| class="wikitable center-all right-2 left-3"
|-
! Steps
! Cents
! Approximate Ratios*
! [[Ups and downs notation|Ups and Downs Notation]]
|-
| 0
| 0.00
| 1/1
| {{UDnote|step=0}}
|-
| 1
| 19.35
| 65/64, 66/65, 78/77, 91/90, 105/104
| {{UDnote|step=1}}
|-
| 2
| 38.71
| ''33/32'', 36/35, 45/44, 49/48, 50/49, 55/54, 56/55, ''64/63''
| {{UDnote|step=2}}
|-
| 3
| 58.06
| ''26/25'', 27/26
| {{UDnote|step=3}}
|-
| 4
| 77.42
| 21/20, 22/21, 23/22, 24/23, 25/24, ''28/27''
| {{UDnote|step=4}}
|-
| 5
| 96.77
| 17/16, 18/17, 19/18, 20/19
| {{UDnote|step=5}}
|-
| 6
| 116.13
| 15/14, 16/15
| {{UDnote|step=6}}
|-
| 7
| 135.48
| 13/12, 14/13
| {{UDnote|step=7}}
|-
| 8
| 154.84
| ''11/10'', 12/11, 23/21
| {{UDnote|step=8}}
|-
| 9
| 174.19
| 21/19
| {{UDnote|step=9}}
|-
| 10
| 193.55
| ''9/8'', ''10/9'', 19/17, 28/25
| {{UDnote|step=10}}
|-
| 11
| 212.90
| 17/15
| {{UDnote|step=11}}
|-
| 12
| 232.26
| 8/7
| {{UDnote|step=12}}
|-
| 13
| 251.61
| 15/13, 22/19
| {{UDnote|step=13}}
|-
| 14
| 270.97
| 7/6
| {{UDnote|step=14}}
|-
| 15
| 290.32
| 13/11, 19/16, 20/17
| {{UDnote|step=15}}
|-
| 16
| 309.68
| 6/5
| {{UDnote|step=16}}
|-
| 17
| 329.03
| 17/14, 23/19
| {{UDnote|step=18}}
|-
| 18
| 348.39
| 11/9, 27/22, 28/23
| {{UDnote|step=18}}
|-
| 19
| 367.74
| 16/13, 21/17, 26/21
| {{UDnote|step=19}}
|-
| 20
| 387.10
| 5/4
| {{UDnote|step=20}}
|-
| 21
| 406.45
| 19/15, 24/19
| {{UDnote|step=21}}
|-
| 22
| 425.81
| 9/7, 14/11, 23/18, 32/25
| {{UDnote|step=22}}
|-
| 23
| 445.16
| 13/10, 22/17
| {{UDnote|step=23}}
|-
| 24
| 464.52
| 17/13, 21/16, 30/23
| {{UDnote|step=24}}
|-
| 25
| 483.87
| 25/19
| {{UDnote|step=25}}
|-
| 26
| 503.23
| 4/3
| {{UDnote|step=26}}
|-
| 27
| 522.58
| 19/14, 23/17
| {{UDnote|step=27}}
|-
| 28
| 541.94
| 11/8, 15/11, 26/19
| {{UDnote|step=28}}
|-
| 29
| 561.29
| 18/13
| {{UDnote|step=29}}
|-
| 30
| 580.65
| 7/5, ''25/18'', 32/23
| {{UDnote|step=30}}
|-
| 31
| 600.00
| 17/12, 24/17
| {{UDnote|step=10}}
|-
| 32
| 619.35
| 10/7, 23/16, ''36/25''
| {{UDnote|step=32}}
|-
| 33
| 638.71
| 13/9
| {{UDnote|step=33}}
|-
| 34
| 658.06
| 16/11, 19/13, 22/15
| {{UDnote|step=34}}
|-
| 35
| 677.42
| 28/19, 34/23
| {{UDnote|step=35}}
|-
| 36
| 696.77
| 3/2
| {{UDnote|step=36}}
|-
| 37
| 716.13
| 38/25
| {{UDnote|step=37}}
|-
| 38
| 735.48
| 23/15, 26/17, 32/21
| {{UDnote|step=38}}
|-
| 39
| 754.84
| 17/11, 20/13
| {{UDnote|step=39}}
|-
| 40
| 774.19
| 11/7, 14/9, 25/16, 36/23
| {{UDnote|step=40}}
|-
| 41
| 793.55
| 19/12, 30/19
| {{UDnote|step=41}}
|-
| 42
| 812.90
| 8/5
| {{UDnote|step=42}}
|-
| 43
| 832.26
| 13/8, 21/13, 34/21
| {{UDnote|step=43}}
|-
| 44
| 851.61
| 18/11, 23/14, 44/27
| {{UDnote|step=44}}
|-
| 45
| 870.97
| 28/17, 38/23
| {{UDnote|step=45}}
|-
| 46
| 890.32
| 5/3
| {{UDnote|step=46}}
|-
| 47
| 909.68
| 17/10, 22/13, 32/19
| {{UDnote|step=47}}
|-
| 48
| 929.03
| 12/7
| {{UDnote|step=48}}
|-
| 49
| 948.39
| 19/11, 26/15
| {{UDnote|step=49}}
|-
| 50
| 967.74
| 7/4
| {{UDnote|step=50}}
|-
| 51
| 987.10
| 30/17
| {{UDnote|step=51}}
|-
| 52
| 1006.45
| ''9/5'', ''16/9'', 25/14, 34/19
| {{UDnote|step=52}}
|-
| 53
| 1025.81
| 38/21
| {{UDnote|step=53}}
|-
| 54
| 1045.16
| 11/6, ''20/11'', 42/23
| {{UDnote|step=54}}
|-
| 55
| 1064.52
| 13/7, 24/13
| {{UDnote|step=55}}
|-
| 56
| 1083.87
| 15/8, 28/15
| {{UDnote|step=56}}
|-
| 57
| 1103.23
| 17/9, 19/10, 32/17, 36/19
| {{UDnote|step=57}}
|-
| 58
| 1122.58
| 21/11, 23/12, ''27/14'', 40/21, 44/23, 48/25
| {{UDnote|step=58}}
|-
| 59
| 1141.94
| ''25/13'', 52/27
| {{UDnote|step=59}}
|-
| 60
| 1161.29
| 35/18, 49/25, 55/28, ''63/32'', ''64/33'', 88/45, 96/49, 108/55
| {{UDnote|step=60}}
|-
| 61
| 1180.65
| 65/33, 77/39, 128/65, 180/91, 208/105
| {{UDnote|step=61}}
|-
| 62
| 1200.00
| 2/1
| {{UDnote|step=62}}
|}
<nowiki>*</nowiki> 23-limit patent val, inconsistent intervals in ''italic''


== Notation ==
== Notation ==