Syntonic–kleismic equivalence continuum: Difference between revisions

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 == Xenial ==
-Xenial splits the [[8/3|perfect eleventh]] into nine equal parts, each for ~[[10/9]]. It corresponds to {{nowrap| ''n'' {{=}} 9 }}. Its [[ploidacot]] is zeta-enneacot, and from this it derives its name.
+: ''For extensions, see [[Starling temperaments #Xenial]] and [[Sensamagic clan #Xenia]].''
+Named by [[User:Xenllium|Xenllium]] in 2026, xenial splits the [[8/3|perfect eleventh]] into nine equal parts, each for ~[[10/9]]. It corresponds to {{nowrap| ''n'' {{=}} 9 }}. Its [[ploidacot]] is zeta-enneacot, and from this it derives its name.
 [[Subgroup]]: 2.3.5
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 [[Comma list]]: 129140163/125000000
-{{Mapping|legend=1| 1 3 5 | 0 -9 -17 }}
+{{Mapping|legend=1| 1 -6 -12 | 0 9 17 }}
+: mapping generators: ~2, ~9/5
 [[Optimal tuning]]s:
-* [[WE]]: ~2 = 1200.2802{{c}}, ~10/9 = 188.9887{{c}}
+* [[WE]]: ~2 = 1200.2802{{c}}, ~9/5 = 1011.2914{{c}}
-: [[error map]]: {{val| +0.2802, -2.0133, +2.2783 }}
+: [[error map]]: {{val| +0.280 -2.013 +2.278 }}
-* [[CWE]]: ~2 = 1200.0000{{c}}, ~10/9 = 188.9238{{c}}
+* [[CWE]]: ~2 = 1200.0000{{c}}, ~9/5 = 1011.0762{{c}}
-: error map: {{val| 0.000 -2.2688, +1.9824 }}
+: error map: {{val| 0.000 -2.269 +1.982 }}
 {{Optimal ET sequence|legend=1| 19, 70, 89, 108, 127 }}