8th-octave temperaments: Difference between revisions

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 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]]
+* ''[[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 [[undecimal octatonic comma]], the difference between a stack of eight 12/11's and the octave.
-[[Subgroup]]: 2.3.11
-[[Comma list]]: 214990848/214358881
-{{Mapping|legend=2| 8 0 15 | 0 1 1 }}
-: mapping generators: ~12/11, ~3
-[[Optimal tuning]]s:
-* [[WE]]: ~12/11 = 149.9917{{c}}, ~3/2 = 701.9324{{c}}
-: [[error map]]: {{val| -0.066 -0.089 +0.424 }}
-* [[CWE]]: ~12/11 = 150.0000{{c}}, ~3/2 = 701.9147{{c}}
-: error map: {{val| 0.000 -0.040 +0.597 }}
-{{Optimal ET sequence|legend=1| 8, 16, 24, 104, 128, 152, 176, 200, 1024e, 1224e, 1424e, 1624e }}
-[[Badness]] (Sintel): 0.515
 {{Navbox fractional-octave}}