User:Dummy index/3rd-tritave temperaments: Difference between revisions

← Older edit Newer edit →

VisualWikitext

@@ Line 156: / Line 156: @@
 === Mintaka III (b39 & b66) ===
-Subgroup: 3.7.11.13
+[[Subgroup]]: 3.7.11.13
-Comma list: 1331/1323, 2197/2187
+[[Comma list]]: 1331/1323, 2197/2187
-Sval mapping: {{mapping| 3 6 7 7 | 0 -3 -2 0 }}
+[[Sval]] [[mapping]]: {{mapping| 3 0 3 7 | 0 3 2 0 }}
+Sval mapping ([[mingen]]): {{mapping| 3 6 7 7 | 0 -3 -2 0 }}
+Sval mapping generators: ~13/9, ~21/11
+[[Optimal tuning]] ([[CWE]]): ~13/9 = 1\3edt, ~21/11 = 1122.959
+[[Support]]ing [[ET]]s: 39, 27, 12, 66, 105, 15, 144, 51, 93, 183, 171, 90, 42[+7], 222[-11]
+Badness (Dirichlet): 0.237
 ==== 3.5.7.11.13 (also procyon III) ====
@@ Line 167: / Line 177: @@
 Subgroup: 3.5.7.11.13
-Comma list: 823543/820125, 1331/1323, 2197/2187
+Comma list: 4459/4455, 11011/10935, 847/845
 Sval mapping: {{mapping| 3 6 6 7 7 | 0 -7 -3 -2 0 }}
+Sval mapping generators: ~13/9, ~49/45
+Optimal tuning (CWE): ~13/9 = 1\3edt, ~49/45 = 145.470
+Supporting ETs: 39, 144, 105, 183, 66, 27, 12[-5], 222[-11], 261[-11], 51[-5], 249, 327[-11], 300[-11], 171
+Badness (Dirichlet): 0.459
 ==== weak extension 3.5.7.11.13 (b39 & b15, also arcturus III) ====
@@ Line 175: / Line 193: @@
 Subgroup: 3.5.7.11.13
-Comma list: 15625/15309, 1331/1323, 2197/2187
+Comma list: 275/273, 1575/1573, 8125/8019
+Sval mapping: {{mapping| 3 3 -3 1 7 | 0 1 6 4 0 }}
+Sval mapping (mingen): {{mapping| 3 4 3 5 7 | 0 1 6 4 0 }}
+Sval mapping generators: ~13/9, ~5/3
+Optimal tuning (CWE): ~13/9 = 1\3edt, ~5/3 = 878.361
+Supporting ETs: 39, 15, 24[-7], 54, 93, 63[-7, -11], 132, 102[-7, -11], 171[-5], 69[+7], 141[-5, -7, -11], 210[-5], 147[+7], 180[-5, -7, -11]
-Sval mapping: {{mapping| 3 4 3 5 7 | 0 1 6 4 0 }}
+Badness (Dirichlet): 0.588
 == External links ==