8th-octave temperaments: Difference between revisions
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Delete octium |
- 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]] | ||
* [[Octoid]] → [[Ragismic microtemperaments #Octoid|Ragismic microtemperaments]] | |||
== Octatonic == | == Octatonic == | ||
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[[Support]]ing [[ET]]s: {{EDOs|16, 24, 32, 48, 56, 72, 80, 120, 128, 152}}, ... | [[Support]]ing [[ET]]s: {{EDOs|16, 24, 32, 48, 56, 72, 80, 120, 128, 152}}, ... | ||
{{Navbox fractional-octave}} | {{Navbox fractional-octave}} | ||
Revision as of 16:52, 3 July 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.
An 8th-octave temperament can be described by temperament merging of edos whose greatest common divisor is 8.
Temperaments discussed elsewhere include:
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: [15 8 0 0 -8⟩
Mapping: [⟨8 0 15], ⟨0 1 1]]
- Mapping generators: ~12/11, ~3
Supporting ETs: 16, 24, 32, 48, 56, 72, 80, 120, 128, 152, ...