20ed11/5: Difference between revisions
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'''20ed11/5''' is the [[ed11/5|equal division of the neutral ninth]] into 20 parts of 68.3 cents each. | '''20ed11/5''' is the [[ed11/5|equal division of the neutral ninth]] into 20 parts of 68.3 cents each. | ||
== Temperaments == | == Temperaments == | ||
20ed11/5 tempers out 2093663/2088025 and 54925/54043 in the no-twos-or-threes 17-limit which means it supports [[ | 20ed11/5 tempers out 2093663/2088025 and 54925/54043 in the no-twos-or-threes 17-limit which means it supports [[catfish]] temperament, which can be viewed as the no-twos-or-threes-analog of [[meantone]]. However, its [[13/11]] approximation is quite flat (closer to a subminor third) which affects the quality of the 11:13:17 chord, one of the most consonant no-twos-or-threes chords. | ||
== Intervals == | == Intervals == | ||
{|class="wikitable" | {|class="wikitable" | ||
| Line 9: | Line 9: | ||
!Cents | !Cents | ||
!Approximate ratios | !Approximate ratios | ||
![[ | ![[Catfish]] nonatonic notation (J = 1/1) | ||
|- | |- | ||
|0 | |0 | ||
| Line 19: | Line 19: | ||
|68.3 | |68.3 | ||
|[[28/27]], [[27/26]], [[26/25]], [[25/24]] | |[[28/27]], [[27/26]], [[26/25]], [[25/24]] | ||
|J#, | |J#, Kb | ||
|- | |- | ||
|2 | |2 | ||
| Line 116: | Line 116: | ||
|J | |J | ||
|} | |} | ||
== Harmonics == | |||
{{Harmonics in equal | |||
| steps = 20 | |||
| num = 11 | |||
| denom = 5 | |||
}} | |||
{{Harmonics in equal | |||
| steps = 20 | |||
| num = 11 | |||
| denom = 5 | |||
| start = 12 | |||
| collapsed = 1 | |||
}} | |||
[[Category:Nonoctave]] | [[Category:Nonoctave]] | ||