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) ==
== 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
: 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 }}
 
[[Badness]] (Sintel): 18.5


[[Support]]ing [[ET]]s: 28N, N = 1 to 35, largest patent val: [[980edo|980]]
{{Navbox fractional-octave}}