28th-octave temperaments: Difference between revisions

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-{{Fractional-octave navigation|28}}
+{{Technical data page}}
+{{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) ==
-For higher-limits, see [[Horwell temperaments#Oquatonic]] and [[No-elevens subgroup temperaments#Oquatonic]]
+:''For extensions, see [[Horwell temperaments #Oquatonic]] and [[No-elevens subgroup temperaments #Oquatonic]].''
+{{See also| Oquatonic comma }}
+[[Subgroup]]: 2.3.5
-Subgroup: 2.3.5
+[[Comma list]]: {{monzo| -65 0 28 }}
-Comma list: {{monzo|-65 0 28}}
+{{Mapping|legend=1| 28 0 65 | 0 1 0 }}
+: mapping generators: ~128/125, ~3
-{{Mapping|legend=1|28 0 65|0 1 0}}
+[[Optimal tuning]]s:
+* [[CTE]]: ~128/125 = 42.857{{c}}, ~3/2 = 701.955{{c}}
+* [[CWE]]: ~128/125 = 42.857{{c}}, ~3/2 = 701.819{{c}}
-: mapping generators: ~128/125, ~3
+{{Optimal ET sequence|legend=1| 28, 56, 84, 140, 224, 2324cc, 2548cc, …, 3220bccc }}
-[[Optimal tuning]] ([[CTE]]): ~3/2 = 701.955
+[[Badness]] (Sintel): 18.5
-[[Support]]ing [[ET]]s: 28N, N = 1 to 35, largest patent val: {{980edo|980}}
+{{Navbox fractional-octave}}