8th-octave temperaments: Difference between revisions

- 5-limit octoid
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Temperaments discussed elsewhere include:
Temperaments discussed elsewhere include:
* ''[[Octant]]'' → [[Schismatic family#Octant|Schismatic family]]
* ''[[Octant]]'' → [[Schismatic family #Octant|Schismatic family]]
* ''[[Octonion]]'' → [[Diminished family #Octonion|Diminished family]]
* ''[[Twilight]]'' → [[Undim family #Twilight|Undim family]]
* [[Octoid]] → [[Ragismic microtemperaments #Octoid|Ragismic microtemperaments]]
* [[Octoid]] → [[Ragismic microtemperaments #Octoid|Ragismic microtemperaments]]
 
* ''[[Octatonic (temperament)|Octatonic]]'' → [[No-fives subgroup temperaments #Octatonic|No-fives subgroup temperaments]]
== Octatonic ==
[[12/11]] is very close to 1 step of 8edo, and hence this temperament tempers out the octatonic comma, the difference between a stack of 8 12/11's and the octave. The octatonic temperament makes a [[consistent circle]].
 
[[Subgroup]]: 2.3.11
 
[[Comma list]]: {{monzo|15 8 0 0 -8}}
 
{{Mapping|legend=1|8 0 15|0 1 1}}
 
: Mapping generators: ~12/11, ~3
 
[[Support]]ing [[ET]]s: {{EDOs|16, 24, 32, 48, 56, 72, 80, 120, 128, 152}}, ...


{{Navbox fractional-octave}}
{{Navbox fractional-octave}}