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54edo: Difference between revisions

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Using the sharp fifth as a generator, 54edo require an incredibly large amount of ups and downs to notate, and using the flat fifth as a generator, 54edo requires an incredibly large amount of sharps and flats to notate. Because the flat fifth generates a diatonic scale with a chroma of 1 step, ups and downs are not needed in notation if the flat fifth is used.
Using the sharp fifth as a generator, 54edo require an incredibly large amount of ups and downs to notate, and using the flat fifth as a generator, 54edo requires an incredibly large amount of sharps and flats to notate. Because the flat fifth generates a diatonic scale with a chroma of 1 step, ups and downs are not needed in notation if the flat fifth is used.


{| class="wikitable mw-collapsible mw-collapsed"
{{Interval table|54edo}}
|+Table of intervals
!Degree
!Cents
![[Ups and downs notation]] (flat fifth 31\54)
![[Ups and downs notation]] (sharp fifth 16\27)
|-
|0
|0.000
|{{UDnote|fifth=31|step=0}}
|{{UDnote|step=0}}
|-
|1
|22.222
|{{UDnote|fifth=31|step=1}}
|{{UDnote|step=1}}
|-
|2
|44.444
|{{UDnote|fifth=31|step=2}}
|{{UDnote|step=2}}
|-
|3
|66.667
|{{UDnote|fifth=31|step=3}}
|{{UDnote|step=3}}
|-
|4
|88.889
|{{UDnote|fifth=31|step=4}}
|{{UDnote|step=4}}
|-
|5
|111.111
|{{UDnote|fifth=31|step=5}}
|{{UDnote|step=5}}
|-
|6
|133.333
|{{UDnote|fifth=31|step=6}}
|{{UDnote|step=6}}
|-
|7
|155.556
|{{UDnote|fifth=31|step=7}}
|{{UDnote|step=7}}
|-
|8
|177.778
|{{UDnote|fifth=31|step=8}}
|{{UDnote|step=8}}
|-
|9
|200.000
|{{UDnote|fifth=31|step=9}}
|{{UDnote|step=9}}
|-
|10
|222.222
|{{UDnote|fifth=31|step=10}}
|{{UDnote|step=10}}
|-
|11
|244.444
|{{UDnote|fifth=31|step=11}}
|{{UDnote|step=11}}
|-
|12
|266.667
|{{UDnote|fifth=31|step=12}}
|{{UDnote|step=12}}
|-
|13
|288.889
|{{UDnote|fifth=31|step=13}}
|{{UDnote|step=13}}
|-
|14
|311.111
|{{UDnote|fifth=31|step=14}}
|{{UDnote|step=14}}
|-
|15
|333.333
|{{UDnote|fifth=31|step=15}}
|{{UDnote|step=15}}
|-
|16
|355.556
|{{UDnote|fifth=31|step=16}}
|{{UDnote|step=16}}
|-
|17
|377.778
|{{UDnote|fifth=31|step=17}}
|{{UDnote|step=17}}
|-
|18
|400.000
|{{UDnote|fifth=31|step=18}}
|{{UDnote|step=18}}
|-
|19
|422.222
|{{UDnote|fifth=31|step=19}}
|{{UDnote|step=19}}
|-
|20
|444.444
|{{UDnote|fifth=31|step=20}}
|{{UDnote|step=20}}
|-
|21
|466.667
|{{UDnote|fifth=31|step=21}}
|{{UDnote|step=21}}
|-
|22
|488.889
|{{UDnote|fifth=31|step=22}}
|{{UDnote|step=22}}
|-
|23
|511.111
|{{UDnote|fifth=31|step=23}}
|{{UDnote|step=23}}
|-
|24
|533.333
|{{UDnote|fifth=31|step=24}}
|{{UDnote|step=24}}
|-
|25
|555.556
|{{UDnote|fifth=31|step=25}}
|{{UDnote|step=25}}
|-
|26
|577.778
|{{UDnote|fifth=31|step=26}}
|{{UDnote|step=26}}
|-
|27
|600.000
|{{UDnote|fifth=31|step=27}}
|{{UDnote|step=27}}
|-
|28
|622.222
|{{UDnote|fifth=31|step=28}}
|{{UDnote|step=28}}
|-
|29
|644.444
|{{UDnote|fifth=31|step=29}}
|{{UDnote|step=29}}
|-
|30
|666.667
|{{UDnote|fifth=31|step=30}}
|{{UDnote|step=30}}
|-
|31
|688.889
|{{UDnote|fifth=31|step=31}}
|{{UDnote|step=31}}
|-
|32
|711.111
|{{UDnote|fifth=31|step=32}}
|{{UDnote|step=32}}
|-
|33
|733.333
|{{UDnote|fifth=31|step=33}}
|{{UDnote|step=33}}
|-
|34
|755.556
|{{UDnote|fifth=31|step=34}}
|{{UDnote|step=34}}
|-
|35
|777.778
|{{UDnote|fifth=31|step=35}}
|{{UDnote|step=35}}
|-
|36
|800.000
|{{UDnote|fifth=31|step=36}}
|{{UDnote|step=36}}
|-
|37
|822.222
|{{UDnote|fifth=31|step=37}}
|{{UDnote|step=37}}
|-
|38
|844.444
|{{UDnote|fifth=31|step=38}}
|{{UDnote|step=38}}
|-
|39
|866.667
|{{UDnote|fifth=31|step=39}}
|{{UDnote|step=39}}
|-
|40
|888.889
|{{UDnote|fifth=31|step=40}}
|{{UDnote|step=40}}
|-
|41
|911.111
|{{UDnote|fifth=31|step=41}}
|{{UDnote|step=41}}
|-
|42
|933.333
|{{UDnote|fifth=31|step=42}}
|{{UDnote|step=42}}
|-
|43
|955.556
|{{UDnote|fifth=31|step=43}}
|{{UDnote|step=43}}
|-
|44
|977.778
|{{UDnote|fifth=31|step=44}}
|{{UDnote|step=44}}
|-
|45
|1000.000
|{{UDnote|fifth=31|step=45}}
|{{UDnote|step=45}}
|-
|46
|1022.222
|{{UDnote|fifth=31|step=46}}
|{{UDnote|step=46}}
|-
|47
|1044.444
|{{UDnote|fifth=31|step=47}}
|{{UDnote|step=47}}
|-
|48
|1066.667
|{{UDnote|fifth=31|step=48}}
|{{UDnote|step=48}}
|-
|49
|1088.889
|{{UDnote|fifth=31|step=49}}
|{{UDnote|step=49}}
|-
|50
|1111.111
|{{UDnote|fifth=31|step=50}}
|{{UDnote|step=50}}
|-
|51
|1133.333
|{{UDnote|fifth=31|step=51}}
|{{UDnote|step=51}}
|-
|52
|1155.556
|{{UDnote|fifth=31|step=52}}
|{{UDnote|step=52}}
|-
|53
|1177.778
|{{UDnote|fifth=31|step=53}}
|{{UDnote|step=53}}
|-
|54
|1200.000
|{{UDnote|fifth=31|step=54}}
|{{UDnote|step=54}}
|}
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