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58edo: Difference between revisions

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→Intervals: reduce cent values to one decimal place, per discussion on Discord. Mark inconsistently mapped intervals italic
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{| class="wikitable center-all right-2 left-3 left-4""
{| class="wikitable center-all right-2 left-3 left-4""
|-
|-
! #
! #
! Cents
! Cents
! Approximate ratios
! Approximate ratios*
! [[Ups and downs notation]]
! [[Ups and downs notation]]
|-
|-
| 0
| 0
| 0.00
| 0.0
| [[1/1]]
| [[1/1]]
| {{UDnote|step=0}}
| {{UDnote|step=0}}
|-
|-
| 1
| 1
| 20.69
| 20.7
| [[56/55]], [[64/63]], [[81/80]], [[128/125]]
| [[56/55]], [[64/63]], [[81/80]], ''[[128/125]]''
| {{UDnote|step=1}}
| {{UDnote|step=1}}
|-
|-
| 2
| 2
| 41.38
| 41.4
| [[36/35]], [[49/48]], [[50/49]], [[55/54]]
| [[36/35]], [[49/48]], [[50/49]], [[55/54]]
| {{UDnote|step=2}}
| {{UDnote|step=2}}
|-
|-
| 3
| 3
| 62.07
| 62.1
| [[26/25]], [[27/26]], [[28/27]], [[33/32]]
| [[26/25]], [[27/26]], [[28/27]], [[33/32]]
| {{UDnote|step=3}}
| {{UDnote|step=3}}
|-
|-
| 4
| 4
| 82.76
| 82.8
| [[25/24]], [[21/20]], [[22/21]]
| [[21/20]], [[22/21]], ''[[25/24]]''
| {{UDnote|step=4}}
| {{UDnote|step=4}}
|-
|-
| 5
| 5
| 103.45
| 103.4
| [[16/15]], [[17/16]], [[18/17]]
| [[16/15]], [[17/16]], [[18/17]]
| {{UDnote|step=5}}
| {{UDnote|step=5}}
|-
|-
| 6
| 6
| 124.14
| 124.1
| [[14/13]], [[15/14]], [[27/25]]
| [[14/13]], [[15/14]], [[27/25]]
| {{UDnote|step=6}}
| {{UDnote|step=6}}
|-
|-
| 7
| 7
| 144.83
| 144.8
| [[12/11]], [[13/12]]
| [[12/11]], [[13/12]]
| {{UDnote|step=7}}
| {{UDnote|step=7}}
|-
|-
| 8
| 8
| 165.52
| 165.5
| [[11/10]]
| [[11/10]]
| {{UDnote|step=8}}
| {{UDnote|step=8}}
|-
|-
| 9
| 9
| 186.21
| 186.2
| [[10/9]]
| [[10/9]]
| {{UDnote|step=9}}
| {{UDnote|step=9}}
|-
|-
| 10
| 10
| 206.90
| 206.9
| [[9/8]], [[17/15]]
| [[9/8]], [[17/15]]
| {{UDnote|step=10}}
| {{UDnote|step=10}}
|-
|-
| 11
| 11
| 227.59
| 227.6
| [[8/7]]
| [[8/7]]
| {{UDnote|step=11}}
| {{UDnote|step=11}}
|-
|-
| 12
| 12
| 248.28
| 248.3
| [[15/13]]
| [[15/13]]
| {{UDnote|step=12}}
| {{UDnote|step=12}}
|-
|-
| 13
| 13
| 268.97
| 269.0
| [[7/6]]
| [[7/6]]
| {{UDnote|step=13}}
| {{UDnote|step=13}}
|-
|-
| 14
| 14
| 289.66
| 289.7
| [[13/11]], [[20/17]]
| [[13/11]], [[20/17]]
| {{UDnote|step=14}}
| {{UDnote|step=14}}
|-
|-
| 15
| 15
| 310.34
| 310.3
| [[6/5]]
| [[6/5]]
| {{UDnote|step=15}}
| {{UDnote|step=15}}
|-
|-
| 16
| 16
| 331.03
| 331.0
| [[17/14]]
| [[17/14]]
| {{UDnote|step=16}}
| {{UDnote|step=16}}
|-
|-
| 17
| 17
| 351.72
| 351.7
| [[11/9]], [[16/13]]
| [[11/9]], [[16/13]]
| {{UDnote|step=17}}
| {{UDnote|step=17}}
|-
|-
| 18
| 18
| 372.41
| 372.4
| [[21/17]]
| [[21/17]]
| {{UDnote|step=18}}
| {{UDnote|step=18}}
|-
|-
| 19
| 19
| 393.10
| 393.1
| [[5/4]]
| [[5/4]]
| {{UDnote|step=19}}
| {{UDnote|step=19}}
|-
|-
| 20
| 20
| 413.79
| 413.8
| [[14/11]]
| [[14/11]]
| {{UDnote|step=20}}
| {{UDnote|step=20}}
|-
|-
| 21
| 21
| 434.48
| 434.5
| [[9/7]]
| [[9/7]]
| {{UDnote|step=21}}
| {{UDnote|step=21}}
|-
|-
| 22
| 22
| 455.17
| 455.2
| [[13/10]], [[17/13]], [[22/17]]
| [[13/10]], [[17/13]], [[22/17]]
| {{UDnote|step=22}}
| {{UDnote|step=22}}
|-
|-
| 23
| 23
| 475.86
| 475.9
| [[21/16]]
| [[21/16]]
| {{UDnote|step=23}}
| {{UDnote|step=23}}
|-
|-
| 24
| 24
| 496.55
| 496.6
| [[4/3]]
| [[4/3]]
| {{UDnote|step=24}}
| {{UDnote|step=24}}
|-
|-
| 25
| 25
| 517.24
| 517.2
| [[27/20]]
| [[27/20]]
| {{UDnote|step=25}}
| {{UDnote|step=25}}
|-
|-
| 26
| 26
| 537.93
| 537.9
| [[15/11]]
| [[15/11]]
| {{UDnote|step=26}}
| {{UDnote|step=26}}
|-
|-
| 27
| 27
| 558.62
| 558.6
| [[11/8]], [[18/13]]
| [[11/8]], [[18/13]]
| {{UDnote|step=27}}
| {{UDnote|step=27}}
|-
|-
| 28
| 28
| 579.31
| 579.3
| [[7/5]]
| [[7/5]]
| {{UDnote|step=28}}
| {{UDnote|step=28}}
|-
|-
| 29
| 29
| 600.00
| 600.0
| [[17/12]], [[24/17]]
| [[17/12]], [[24/17]]
| {{UDnote|step=29}}
| {{UDnote|step=29}}
|-
|-
| 30
| 30
| 620.69
| 620.7
| [[10/7]]
| [[10/7]]
| {{UDnote|step=30}}
| {{UDnote|step=30}}
|-
|-
| 31
| 31
| 641.38
| 641.4
| [[13/9]], [[16/11]]
| [[13/9]], [[16/11]]
| {{UDnote|step=31}}
| {{UDnote|step=31}}
|-
|-
| 32
| 32
| 662.07
| 662.1
| [[22/15]]
| [[22/15]]
| {{UDnote|step=32}}
| {{UDnote|step=32}}
|-
|-
| 33
| 33
| 682.76
| 682.8
| [[40/27]]
| [[40/27]]
| {{UDnote|step=33}}
| {{UDnote|step=33}}
|-
|-
| 34
| 34
| 703.45
| 703.4
| [[3/2]]
| [[3/2]]
| {{UDnote|step=34}}
| {{UDnote|step=34}}
|-
|-
| 35
| 35
| 724.14
| 724.1
| [[32/21]]
| [[32/21]]
| {{UDnote|step=35}}
| {{UDnote|step=35}}
|-
|-
| 36
| 36
| 744.83
| 744.8
| [[20/13]], [[26/17]], [[17/11]]
| [[17/11]], [[20/13]], [[26/17]]
| {{UDnote|step=36}}
| {{UDnote|step=36}}
|-
|-
| 37
| 37
| 765.52
| 765.5
| [[14/9]]
| [[14/9]]
| {{UDnote|step=37}}
| {{UDnote|step=37}}
|-
|-
| 38
| 38
| 786.21
| 786.2
| [[11/7]]
| [[11/7]]
| {{UDnote|step=38}}
| {{UDnote|step=38}}
|-
|-
| 39
| 39
| 806.90
| 806.9
| [[8/5]]
| [[8/5]]
| {{UDnote|step=39}}
| {{UDnote|step=39}}
|-
|-
| 40
| 40
| 827.59
| 827.6
| [[34/21]]
| [[34/21]]
| {{UDnote|step=40}}
| {{UDnote|step=40}}
|-
|-
| 41
| 41
| 848.28
| 848.3
| [[13/8]], [[18/11]]
| [[13/8]], [[18/11]]
| {{UDnote|step=41}}
| {{UDnote|step=41}}
|-
|-
| 42
| 42
| 868.97
| 869.0
| [[28/17]]
| [[28/17]]
| {{UDnote|step=42}}
| {{UDnote|step=42}}
|-
|-
| 43
| 43
| 889.66
| 889.7
| [[5/3]]
| [[5/3]]
| {{UDnote|step=43}}
| {{UDnote|step=43}}
|-
|-
| 44
| 44
| 910.34
| 910.3
| [[22/13]], [[17/10]]
| [[17/10]], [[22/13]]
| {{UDnote|step=44}}
| {{UDnote|step=44}}
|-
|-
| 45
| 45
| 931.03
| 931.0
| [[12/7]]
| [[12/7]]
| {{UDnote|step=45}}
| {{UDnote|step=45}}
|-
|-
| 46
| 46
| 951.72
| 951.7
| [[26/15]]
| [[26/15]]
| {{UDnote|step=46}}
| {{UDnote|step=46}}
|-
|-
| 47
| 47
| 972.41
| 972.4
| [[7/4]]
| [[7/4]]
| {{UDnote|step=47}}
| {{UDnote|step=47}}
|-
|-
| 48
| 48
| 993.10
| 993.1
| [[16/9]], [[30/17]]
| [[16/9]], [[30/17]]
| {{UDnote|step=48}}
| {{UDnote|step=48}}
|-
|-
| 49
| 49
| 1013.79
| 1013.8
| [[9/5]]
| [[9/5]]
| {{UDnote|step=49}}
| {{UDnote|step=49}}
|-
|-
| 50
| 50
| 1034.48
| 1034.5
| [[20/11]]
| [[20/11]]
| {{UDnote|step=50}}
| {{UDnote|step=50}}
|-
|-
| 51
| 51
| 1055.17
| 1055.2
| [[11/6]], [[24/13]]
| [[11/6]], [[24/13]]
| {{UDnote|step=51}}
| {{UDnote|step=51}}
|-
|-
| 52
| 52
| 1075.86
| 1075.9
| [[13/7]], [[28/15]]
| [[13/7]], [[28/15]]
| {{UDnote|step=52}}
| {{UDnote|step=52}}
|-
|-
| 53
| 53
| 1096.55
| 1096.6
| [[15/8]], [[32/17]], [[17/9]]
| [[15/8]], [[17/9]], [[32/17]]
| {{UDnote|step=53}}
| {{UDnote|step=53}}
|-
|-
| 54
| 54
| 1117.24
| 1117.2
| [[48/25]], [[40/21]], [[21/11]]
| [[21/11]], [[40/21]], ''[[48/25]]''
| {{UDnote|step=54}}
| {{UDnote|step=54}}
|-
|-
| 55
| 55
| 1137.93
| 1137.9
| [[25/13]], [[52/27]], [[27/14]], [[64/33]]
| [[25/13]], [[27/14]], [[52/27]], [[64/33]]
| {{UDnote|step=55}}
| {{UDnote|step=55}}
|-
|-
| 56
| 56
| 1158.62
| 1158.6
| [[35/18]], [[96/49]], [[49/25]], [[108/55]]
| [[35/18]], [[49/25]], [[96/49]], [[108/55]]
| {{UDnote|step=56}}
| {{UDnote|step=56}}
|-
|-
| 57
| 57
| 1179.31
| 1179.3
| [[55/28]], [[63/32]], [[160/81]], [[125/64]]
| [[55/28]], [[63/32]], ''[[125/64]]'', [[160/81]]
| {{UDnote|step=57}}
| {{UDnote|step=57}}
|-
|-
| 58
| 58
| 1200.00
| 1200.0
| [[2/1]]
| [[2/1]]
| {{UDnote|step=58}}
| {{UDnote|step=58}}
|}
|}
<nowiki/> As a 17-limit temperament


== Notation ==
== Notation ==
Retrieved from "https://en.xen.wiki/w/58edo"