Vishnu family: Difference between revisions

@@ Line 173: / Line 173: @@
 Badness (Sintel): 1.68
+== Vishy ==
+Named by [[User:Godtone|Godtone]] after its inaccurate but simple interpretation of its half-octave period as [[~]][[7/5]][[~]][[10/7]], vishy represents the absolute simplest way to reach prime 7 by interpreting three chromas (~25/24 gens) as a significantly flat [[~]][[8/7]]. Its mapping might be deemed favorable because of all primes being reached in a negative number of generators, with the most complex, 11, being reached in -9 (as in vishnean). In fact, this temperament's mapping is identical to that of [[vishnean]] up to a simpler, higher-damage mapping of 7 in the same direction as all the other primes. It is also supported by [[50edo]] via the 50d [[val]].
+[[Subgroup]]: 2.3.5.7
+[[Comma list]]: 6115295232/6103515625, [[50/49]]
+Mapping: {{mapping| 2 4 5 6 | 0 -7 -3 -3 }}
+Optimal tuning:
+* CE: ~7/5 = 600.000{{c}}, ~25/24 = 71.954{{c}}
+{{Optimal ET sequence|legend=0| 16, 18, 34d }}
+Badness (Sintel): 3.964
+=== 11-limit ===
+Subgroup: 2.3.5.7.11
+Comma list: [[176/175]], [[625/616]], [[1331/1323]]
+Mapping: {{mapping| 2 4 5 6 8 | 0 -7 -3 -3 -9 }}
+Optimal tuning:
+* CE: ~7/5 = 600.000{{c}}, ~25/24 = 72.021{{c}}
+{{Optimal ET sequence|legend=0| 16, 18e, 34d }}
+Badness (Sintel): 2.028
 == Trivish ==