Miscellaneous 7-limit temperaments: Difference between revisions

@@ Line 44: / Line 44: @@
 [[Badness]] (Sintel): 0.661
+== Canopic a.k.a. mirkwai ==
+: ''For extensions, see [[Swetismic temperaments #Indra]].''
+Canopic, a.k.a. mirkwai, tempers out the [[canopic comma]] in the 7-limit.
+[[Subgroup]]: 2.3.5.7
+[[Comma list]]: 16875/16807
+{{Mapping|legend=1| 1 0 -5 -4 | 0 1 3 3 | 0 0 5 4 }}
+: Mapping generators: ~2, ~3, ~10/7
+[[Optimal tuning]]s:
+* [[WE]]: ~2 = 1199.9999{{c}}, ~3/2 = 701.7827{{c}}, ~10/7 = 616.0944{{c}}
+: [[error map]]: {{val| -0.000 -0.172 -0.493 +0.900 }}
+* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 701.7827{{c}}, ~10/7 = 616.0945{{c}}
+: error map: {{val| 0.000 -0.172 -0.493 +0.900 }}
+[[Minimax tuning]]:
+* [[7-odd-limit]]
+: {{monzo list| 1 0 0 0 | 0 4/7 -4/7 5/7 | 0 -3/7 3/7 5/7 | 0 0 0 1 }}
+: [[Eigenmonzo basis|eigenmonzo (unchanged-interval) basis]]: 2.5/3.7
+* [[9-odd-limit]]
+: {{monzo list| 1 0 0 0 | 0 8/11 -4/11 5/11 | 0 -6/11 3/11 10/11 | 0 0 0 1 }}
+: eigenmonzo (unchanged-interval) basis: 2.9/5.7
+{{Optimal ET sequence|legend=1| 31, 41, 72, 152, 224 }}
+[[Badness]] (Sintel): 1.51
+[[Projection pair]]s: <code>5 84375/16807 7 16875/2401</code> to 2.3.7/5
 == Greenwoodmic ==