No-threes subgroup temperaments: Difference between revisions

@@ Line 309: / Line 309: @@
 === No-threes naiad ===
 {{See also| Wizardharry clan #Naiad }}
+This temperament can be described as the 21 & 29 & 37 temperament in no-threes subgroups. It expands [[Subgroup temperaments #Tridec|tridec]] and [[Subgroup temperaments #Naiadec|naiadec]].
 [[Subgroup]]: 2.5.7.11
@@ Line 325: / Line 327: @@
 [[Badness]] (Sintel): 1.862
+==== 2.5.7.11.13 subgroup ====
+Subgroup: 2.5.7.11.13
+Comma list: 847/845, 1001/1000
+Sval mapping: {{Mapping| 1 0 2 0 1 | 0 1 1 1 1 | 0 0 -4 3 1 }}
+Optimal tunings:
+* WE: ~2 = 1200.034¢, ~5 = 2786.678¢, ~13/10 = 454.569¢
+* CWE: ~2 = 1200.000¢, ~5 = 2786.646¢, ~13/10 = 454.557¢
+{{Optimal ET sequence|legend=0| 16, 21, 29, 37, 50, 58, 66, 87, 103, 124 }}
+Badness (Sintel): 0.179
+==== 2.5.7.11.13.17 subgroup ====
+Subgroup: 2.5.7.11.13.17
+Comma list: 170/169, 221/220, 847/845
+Sval mapping: {{Mapping| 1 0 2 0 1 1 | 0 1 1 1 1 1 | 0 0 -4 3 1 2 }}
+Optimal tunings:
+* WE: ~2 = 1200.407¢, ~5 = 2787.484¢, ~13/10 = 455.036¢
+* CWE: ~2 = 1200.000¢, ~5 = 2787.107¢, ~13/10 = 454.906¢
+{{Optimal ET sequence|legend=0| 16, 21, 29g, 37, 50, 58, 66g, 87g }}
+Badness (Sintel): 0.438
 == Higher 2.5 temperaments ==