Septiennealimmal clan: Difference between revisions

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 [[Badness]] (Sintel): 0.191
-=== Septiennealic ===
-Septiennealic finds a somewhat high-damage but very simple and intuitive mapping of prime 13 by fixing 13/12~14/13 at 1\9.
-A notable tuning of septiennealic not appearing in the optimal ET sequence is [[63edo]]. If we include a somewhat more complex mapping for 11 via {{nowrap| 36e & 63 }}, it will become the optimal patent val and largest in the sequence.
-Subgroup: 2.3.7.13
-Comma list: 169/168, 31213/31104
-Subgroup-val mapping: {{mapping| 9 0 11 19 | 0 1 1 1 }}
-Optimal tunings:
-* WE: ~13/12 = 133.3847{{c}}, ~3/2 = 701.9342{{c}}
-* CWE: ~13/12 = 133.3333{{c}}, ~3/2 = 702.0763{{c}}
-{{Optimal ET sequence|legend=0| 27, 36, 99, 135f, 171f }}
-Badness (Sintel): 0.540
 === Ennea ===
-{{See also| No-fives subgroup temperaments }}
 Subgroup: 2.3.7.11
@@ Line 804: / Line 783: @@
 Badness (Sintel): 1.49
+== Other subgroup extensions ==
+=== Septiennealic (2.3.7.13) ===
+Septiennealic finds a somewhat high-damage but very simple and intuitive mapping of prime 13 by fixing 13/12~14/13 at 1\9.
+A notable tuning of septiennealic not appearing in the optimal ET sequence is [[63edo]]. If we include a somewhat more complex mapping for 11 via {{nowrap| 36e & 63 }}, it will become the optimal patent val and largest in the sequence.
+Subgroup: 2.3.7.13
+Comma list: 169/168, 31213/31104
+Subgroup-val mapping: {{mapping| 9 0 11 19 | 0 1 1 1 }}
+Optimal tunings:
+* WE: ~13/12 = 133.3847{{c}}, ~3/2 = 701.9342{{c}}
+* CWE: ~13/12 = 133.3333{{c}}, ~3/2 = 702.0763{{c}}
+{{Optimal ET sequence|legend=0| 27, 36, 99, 135f, 171f }}
+Badness (Sintel): 0.540
 [[Category:Septiennealimmal clan| ]] <!-- main article -->
 [[Category:Temperament clans]]