Miscellaneous 7-limit temperaments: Difference between revisions

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 See also [[Miscellaneous 5-limit temperaments]].
+== Wizmic ==
+Wizmic tempers out the [[wizma]], the sum of the two smallest [[superparticular ratio]]s in the 7-limit. It splits the [[septimal comma]] into two equal parts, which can serve as the last generator of this temperament, besides the [[octave]] and the [[3/2|perfect fifth]]. Adding a perfect fifth to this gives a [[245/162|sensamagic fifth]], which is the generator shown in the data below. Two sensamagic fifths minus an octave give [[~]][[8/7]], and five minus two octaves give a sub-octave short of the octave by a [[syntonic comma]].
+[[Subgroup]]: 2.3.5.7
+[[Comma list]]: 420175/419904
+{{Mapping|legend=1| 1 0 3 0 | 0 1 4 0 | 0 0 5 -2 }}
+: Mapping generators: ~2, ~3, ~245/162
+[[Optimal tuning]]s:
+* [[WE]]: ~2 = 1200.0161{{c}}, ~3/2 = 701.9929{{c}}, ~245/162 = 715.6723{{c}}
+: [[Error map]]: {{val| +0.016 +0.054 -0.029 -0.106 }}
+* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 701.9981{{c}}, ~245/162 = 715.6543{{c}}
+: Error map: {{val| 0.000 +0.043 -0.050 -0.134 }}
+{{Optimal ET sequence|legend=1| 22, 27, 45, 49, 50, 72, 99, 171, 441, 612, 2812, 3082, 3253, 3424, 3694, 3865, 4306, 4777d, 4918d, 5089d, 5701d }}
+[[Badness]] (Sintel): 0.381
 == Breeze ==
+Breeze tempers out the [[breeze comma]] in the 7-limit.
 [[Subgroup]]: 2.3.5.7
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 == Scheme ==
+Scheme tempers out the [[scheme comma]] in the 7-limit.
 [[Subgroup]]: 2.3.5.7