Miscellaneous 7-limit temperaments: Difference between revisions

@@ Line 208: / Line 208: @@
 [[Projection pair]]: <code>5 2401/486</code> to 2.3.7
+== Prograde ==
+Prograde tempers out the [[prograde comma]] in the 7-limit, and besides the octave and perfect fifth, it is generated by a very sharp [[~]][[15/14]]. Two of these generators make ~[[6/5]] and three make ~[[9/7]]. An obvious 11-limit extension then equates the generator with both [[11/10]] and [[12/11]], tempering out [[56/55]], [[77/75]], and [[121/120]].
+[[Subgroup]]: 2.3.5.7
+[[Comma list]]: 392/375
+{{Mapping|legend=1| 1 0 1 0 | 0 1 1 2 | 0 0 2 3 }}
+: Mapping generators: ~2, ~3, ~15/14
+[[Optimal tuning]]s:
+* [[WE]]: ~2 = 1197.4315{{c}}, ~3/2 = 706.5443{{c}}, ~15/14 = 150.8299{{c}}
+: [[Error map]]: {{val| -2.568 +2.021 +13.434 -13.364 }}
+* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 706.2305{{c}}, ~15/14 = 151.3070{{c}}
+: Error map: {{val| 0.000 +4.275 +17.303 -10.286 }}
+{{Optimal ET sequence|legend=1| 8d, 9, 15, 24, 32c, 39 }}
+[[Badness]] (Sintel): 2.71
 == Aberdietic ==