Miscellaneous 7-limit temperaments: Difference between revisions

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 [[Badness]] (Sintel): 3.40
+== Triwellismic ==
+Triwellismic tempers out the [[triwellisma]]. Besides the [[octave]] and [[3/2|perfect fifth]], it is generated by a [[15/14]] semitone,  with six of them making a retroptolemaic fifth, [[243/160]], and seven making a septimal augmented fifth, [[729/448]]. An alternative generator is the [[10/7]] tritone, with two minus an octave giving the [[jubilisma]] and three jubilismas being equated with [[16/15]].
+[[Subgroup]]: 2.3.5.7
+[[Comma list]]: 235298/234375
+{{Mapping|legend=1| 1 0 1 1 | 0 1 5 6 | 0 0 -6 -7 }}
+: Mapping generators: ~2, ~3, ~15/14
+[[Optimal tuning]]s:
+* [[WE]]: ~2 = 1199.9876{{c}}, ~3/2 = 701.3045{{c}}, ~15/14 = 120.5354{{c}}
+: [[Error map]]: {{val| -0.012 +0.031 +0.466 -0.584 }}
+* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 701.9958{{c}}, ~15/14 = 120.5308{{c}}
+: Error map: {{val| 0.000 +0.041 +0.480 -0.567 }}
+{{Optimal ET sequence|legend=1| 29, 31, 60, 68, 91, 99, 229, 289, 388, 518, 906 }}
+[[Badness]] (Sintel): 3.55
 == Decovulture ==