Miscellaneous 5-limit temperaments: Difference between revisions

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 * [[Very low accuracy temperaments]]
 * [[Very high accuracy temperaments]]
+== Ennealimmal ==
+: ''For extensions, see [[Septiennealimmal clan #Ennealimmal]].''
+The 5-limit version of ennealimmal tempers out the [[ennealimma]], the amount by which a stack of nine [[27/25]]'s falls short of the octave. Since the [[7-limit]] temperament (definable by tempering out both [[2401/2400]] and [[4375/4374]], the two smallest superparticular ratios in the 7-limit) is far more natural to think of than the 5-limit, the 5-limit temperament is only provided below for bookkeeping purposes.
+[[Subgroup]]: 2.3.5
+[[Comma list]]: {{monzo| 1 -27 18 }}
+{{Mapping|legend=1| 9 1 1 | 0 2 3 }}
+: mapping generators: ~27/25, ~5/3
+[[Optimal tuning]]s:
+* [[WE]]: ~27/25 = 133.3333{{c}}, ~5/3 = 884.3190{{c}}
+: [[error map]]: {{val| -0.000 +0.016 -0.023 }}
+* [[CWE]]: ~27/25 = 133.3333{{c}}, ~5/3 = 884.3191{{c}}
+: error map: {{val| 0.000 +0.017 -0.023 }}
+{{Optimal ET sequence|legend=1| 27, 45, 72, 99, 171, 441, 612, 1665, 2277, 2889, 3501, 6390, 16281, 22671, 29061c }}
+[[Badness]] (Sintel): 0.403
 == Unidecmic ==