28th-octave temperaments: Difference between revisions
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== 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 }} | ||
Latest revision as of 15:07, 22 June 2026
- This is a list showing technical temperament data. For an explanation of what information is shown here, you may look at the technical data guide for regular temperaments.
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)
- For extensions, see Horwell temperaments #Oquatonic and No-elevens subgroup temperaments #Oquatonic.
Subgroup: 2.3.5
Comma list: [-65 0 28⟩
Mapping: [⟨28 0 65], ⟨0 1 0]]
- mapping generators: ~128/125, ~3
Optimal ET sequence: 28, 56, 84, 140, 224, 2324cc, 2548cc, …, 3220bccc
Badness (Sintel): 18.5