Biyatismic clan: Difference between revisions

@@ Line 169: / Line 169: @@
 Badness (Smith): 1.093 × 10<sup>-3</sup>
-== Aphrodite ==
+== Big brother ==
-Aphrodite tempers out the squalentine comma, 64827/64000, in the 7-limit. Its generators can be taken to be 2, 3, and 21/20, and it equates (21/20)<sup>3</sup> with 8/7.
+: ''For the 7-limit version, see [[Miscellaneous 7-limit temperaments #Nuwell]].''
+[[Subgroup]]: 2.3.5.7.11
+[[Comma list]]: 99/98, 121/120
+{{Mapping|legend=1| 1 0 3 1 3 | 0 1 3 2 2 | 0 0 -4 -1 -2 }}
+{{Optimal ET sequence|legend=1| 8d, 9, 22, 31, 53 }}
-=== 7-limit (squalentine) ===
+[[Badness]]: 0.507 × 10<sup>-3</sup>
-[[Subgroup]]: 2.3.5.7
-[[Comma list]]: 64827/64000
+[[Projection pair]]s: 5 2401/486 11 98/9 to 2.3.7
-{{Mapping|legend=1| 1 0 1 3 | 0 1 1 0 | 0 0 -4 -3 }}
+=== 13-limit ===
-: mapping generators: ~2, ~3, ~21/20
+Subgroup: 2.3.5.7.11.13
-[[Optimal tuning]] ([[POTE]]): ~2 = 1200.0000{{c}}, ~3/2 = 700.2144{{c}}, ~21/20 = 78.5694{{c}}
+Comma list: 66/65, 99/98, 121/120
-{{Optimal ET sequence|legend=1| 14c, 15, 29, 31, 46, 60, 77, 91, 122, 137d, 168d }}
+Mapping: {{mapping| 1 0 3 1 3 1 | 0 1 3 2 2 0 | 0 0 -4 -1 -2 2 }}
-[[Badness]] (Smith): 0.943 × 10<sup>-3</sup>
+{{Optimal ET sequence|legend=0| 8d, 9, 22f, 31 }}
-[[Projection pair]]s: 5 320000/64827 7 64000/9261 to 2.3.7/5
+== Aphrodite ==
+: ''For the 7-limit version, see [[Miscellaneous 7-limit temperaments #Squalentine]].''
-=== 11-limit ===
 [[Subgroup]]: 2.3.5.7.11