28th-octave temperaments: Difference between revisions

Revision as of 15:48, 12 November 2024

For higher-limits, see Horwell temperaments #Oquatonic and No-elevens subgroup temperaments #Oquatonic.

Comma list: [-65 0 28⟩

Mapping: [⟨28 0 65], ⟨0 1 0]]

mapping generators: ~128/125, ~3

Badness (Smith): 0.790

@@ Line 1: / Line 1: @@
 {{Fractional-octave navigation|28}}
 == Oquatonic (5-limit) ==
-For higher-limits, see [[Horwell temperaments#Oquatonic]] and [[No-elevens subgroup temperaments#Oquatonic]]
+:''For higher-limits, see [[Horwell temperaments #Oquatonic]] and [[No-elevens subgroup temperaments #Oquatonic]].''
-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|legend=1| 28 0 65 | 0 1 0 }}
 : mapping generators: ~128/125, ~3
-[[Optimal tuning]] ([[CTE]]): ~3/2 = 701.955
+[[Optimal tuning]]s:
+* [[CTE]]: ~128/125 = 42.857, ~3/2 = 701.955
+* [[CWE]]: ~128/125 = 42.857, ~3/2 = 701.819
+{{Optimal ET sequence|legend=1| 28, 56, 84, 140, 224, 2324cc, 2548cc, …, 3220bccc }}
-[[Support]]ing [[ET]]s: 28N, N = 1 to 35, largest patent val: [[980edo|980]]
+[[Badness]] (Smith): 0.790