Syntonic–31 equivalence continuum: Difference between revisions

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 == Ampersand ==
 : ''For extensions, see [[Gamelismic clan #Miracle]].''
+Ampersand is the 5-limit version of miracle, tempering out the [[ampersand comma]], which is the difference between a perfect fifth and a stack of six [[16/15|classical diatonic semitones]]. It can be described as the 31 & 41 temperament, corresponding to ''n'' = 6.
 [[Subgroup]]: 2.3.5
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 {{Mapping|legend=1| 1 1 3 | 0 6 -7 }}
-[[Optimal tuning]] ([[CWE]]): ~2 = 1200.000, ~16/15 = 116.680
+[[Optimal tuning]]s:
+* [[CTE]]: ~2 = 1200.000, ~16/15 = 116.701
+: [[error map]]: {{val| 0.000 -1.750 -3.219 }}
+* [[CWE]]: ~2 = 1200.000, ~16/15 = 116.680
+: error map: {{val| 0.000 -1.874 -3.075 }}
 {{Optimal ET sequence|legend=1| 10, 21, 31, 41, 72 }}
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 == Valentine (5-limit) ==
 : ''For extensions, see [[Gamelismic clan #Valentine]].''
+The 5-limit version of valentine tempers out the [[valentine comma]], which is the difference between a perfect fifth and a stack of nine [[25/24|classical chromatic semitones]]. It can be described as the 31 & 46 temperament, corresponding to ''n'' = 9.
 [[Subgroup]]: 2.3.5