62edo: Difference between revisions
→Notation: collapse the armodue notation table |
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== Intervals == | == Intervals == | ||
{{ | {| 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 == |