8th-octave temperaments: Difference between revisions
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{{Technical data page}} | |||
{{Infobox fractional-octave|8}} | {{Infobox fractional-octave|8}} | ||
An 8th-octave temperament can be described by temperament merging of edos whose greatest common divisor is 8. | |||
Discussed elsewhere are: | Discussed elsewhere are: | ||
* ''Octant'', → [[Schismatic family#Octant|Schismatic family]] | * ''Octant'', → [[Schismatic family#Octant|Schismatic family]] | ||
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{{Mapping|legend=1|8 0 15|0 1 1}} | {{Mapping|legend=1|8 0 15|0 1 1}} | ||
: | : Mapping generators: ~12/11 = 1\8, ~3 | ||
[[Support]]ing [[ET]]s: {{EDOs|16, 24, 32, 48, 56, 80, 72, 120, 128, 152}}, ... | [[Support]]ing [[ET]]s: {{EDOs|16, 24, 32, 48, 56, 80, 72, 120, 128, 152}}, ... | ||
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{{Mapping|legend=2| 8 2 35 25 47 2 | 0 21 -2 22 -16 74 }} | {{Mapping|legend=2| 8 2 35 25 47 2 | 0 21 -2 22 -16 74 }} | ||
: | : Mapping generators: ~10051/9216 = 1\8, ~24/23 = 76.284 | ||
[[Optimal tuning]] ([[CTE]]): ~24/23 = 76.284 | [[Optimal tuning]] ([[CTE]]): ~24/23 = 76.284 | ||