Syntonic–limmic equivalence continuum: Difference between revisions

@@ Line 229: / Line 229: @@
 [[Badness]]: 0.168264
+== Laconic ==
+: ''For extensions, see [[Gamelismic clan #Gorgo]].''
+Laconic tempers out [[2187/2000]], which is the difference between three [[10/9]]'s and a [[3/2]]. Although a higher-error temperament, it does pop up enough in the low-numbered edos to be useful, most notably in [[16edo]] and [[21edo]]. The only 7-limit extension that makes any sense to use is to add the gamelisma to the comma list. It corresponds to {{nowrap| ''n'' {{=}} -3 }}.
+[[Subgroup]]: 2.3.5
+[[Comma list]]: 2187/2000
+{{Mapping|legend=1| 1 1 1 | 0 3 7 }}
+{{Multival|legend=1| 3 7 4 }}
+[[Optimal tuning]]s:
+* [[CTE]]: ~2 = 1200.000, ~10/9 = 228.700
+: [[error map]]: {{val| 0.000 -15.856 +14.584 }}
+* [[POTE]]: ~2 = 1200.000, ~10/9 = 227.426
+: error map: {{val| 0.000 -19.679 +5.664 }}
+{{Optimal ET sequence|legend=1| 5, 11c, 16, 21, 37b }}
+[[Badness]] (Smith): 0.161799
 == University ==