28th-octave temperaments: Difference between revisions
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{{Technical data page}} | |||
{{Infobox fractional-octave|28}} | {{Infobox fractional-octave|28}} | ||
[[28edo]] is an interesting system when it comes to fractional-octave temperaments. It has some close approximations including [[5/4]] and [[14/13]]. | |||
== Oquatonic (5-limit) == | == Oquatonic (5-limit) == | ||
:''For | :''For extensions, see [[Horwell temperaments #Oquatonic]] and [[No-elevens subgroup temperaments #Oquatonic]].'' | ||
{{See also| Oquatonic comma }} | |||
[[Subgroup]]: 2.3.5 | [[Subgroup]]: 2.3.5 | ||
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{{Mapping|legend=1| 28 0 65 | 0 1 0 }} | {{Mapping|legend=1| 28 0 65 | 0 1 0 }} | ||
: mapping generators: ~128/125, ~3 | : mapping generators: ~128/125, ~3 | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[CTE]]: ~128/125 = 42.857, ~3/2 = 701.955 | * [[CTE]]: ~128/125 = 42.857{{c}}, ~3/2 = 701.955{{c}} | ||
* [[CWE]]: ~128/125 = 42.857, ~3/2 = 701.819 | * [[CWE]]: ~128/125 = 42.857{{c}}, ~3/2 = 701.819{{c}} | ||
{{Optimal ET sequence|legend=1| 28, 56, 84, 140, 224, 2324cc, 2548cc, …, 3220bccc }} | {{Optimal ET sequence|legend=1| 28, 56, 84, 140, 224, 2324cc, 2548cc, …, 3220bccc }} | ||
[[Badness]] ( | [[Badness]] (Sintel): 18.5 | ||
{{Navbox fractional-octave}} | {{Navbox fractional-octave}} | ||