Miscellaneous 7-limit temperaments: Difference between revisions

@@ Line 522: / Line 522: @@
 [[Badness]] (Sintel): 8.77
+== Aristoschismic ==
+Aristoschismic tempers out the [[aristoschisma]], which is the difference between the [[septischisma]] and the [[schisma]]. It sets the [[Pythagorean comma]] to the mean of the [[syntonic comma]] and the [[septimal comma]], so like [[orthoschismic]] and [[septischismic]], it functions as a [[detemperament]] of [[garibaldi]]. [[441edo]] shows an excellent example of an edo tuning, but it can be tuned even more accurately than that.
+[[Subgroup]]: 2.3.5.7
+[[Comma list]]: {{monzo| 40 -22 -1 -1 }}
+{{Mapping|legend=1| 1 0 0 40 | 0 1 0 -22 | 0 0 1 -1 }}
+: Mapping generators: ~2, ~3, ~5
+[[Optimal tuning]]s:
+* [[WE]]: ~2 = 1199.9738{{c}}, ~3/2 = 702.0173{{c}}, ~5/4 = 386.3696{{c}}
+: [[Error map]]: {{val| -0.026 +0.036 +0.004 +0.005 }}
+* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 702.0343{{c}}, ~5/4 = 386.3610{{c}}
+: Error map: {{val| 0.000 +0.079 +0.047 +0.058 }}
+{{Optimal ET sequence|legend=1| 41, 53, 94, …, 294, 306, 335, 347, 388, 400, 441, 935, 1376, 3193, 4087, 4528, 5463, 5904, 7280, 12743bcd, 13184bcd, 18647bbccdd }}
+[[Badness]] (Sintel): 11.2
 == Septimagic ==