28th-octave temperaments: Difference between revisions
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{{ | {{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]] | [[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 | |||
{{Navbox fractional-octave}} | |||
Latest revision as of 05:30, 23 February 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 higher-limits, 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