19th-octave temperaments: Difference between revisions

@@ Line 1: / Line 1: @@
-{{Fractional-octave navigation|19}}
+{{Infobox fractional-octave|19}}
 [[19edo]] has excellent 5-limit accuracy, but its quality of higher-limit approximation can be improved. This page accommodates a number of temperaments that are otherwise difficult to catalog because they belong to multiple families. Meanmag has the same 5-limit mapping as 19et with harmonics 7, 11, and 13 mapped to an independent generator. Undevigintone has the same 2.3.5.7.13 subgroup mapping as 19et with harmonic 11 mapped to an independent generator.
@@ Line 14: / Line 14: @@
 [[Support]]ing [[ET]]s: {{EDOs|19, 38c, 57c, 76c, 95bcc }}
-=== Meanmag ===
+== Meanmag ==
 [[Subgroup]]: 2.3.5.7
@@ Line 22: / Line 23: @@
 : mapping generators: ~25/24, ~7
-{{Multival|legend=1| 0 0 19 0 30 44 }}
 [[Optimal tuning]] ([[POTE]]): ~25/24 = 1\19, ~8/7 = 238.396
@@ Line 31: / Line 30: @@
 [[Badness]]: 0.077023
-==== 11-limit ====
+=== 11-limit ===
 Subgroup: 2.3.5.7.11
@@ Line 56: / Line 55: @@
 Badness: 0.045844
+== (5-limit) enneadecal ==
+''For the 7-limit temperament, see [[Ragismic microtemperaments#Enneadecal]].''
+[[Subgroup]]: 2.3.5
+[[Comma list]]: 19073486328125/19042491875328
+{{Mapping|legend=1|19 19 33|0 1 1}}
+[[Optimal tuning]] ([[CTE]]): ~648/625 = 1\19, ~3/2 = 701.990
+[[Support]]ing [[ET]]s: {{EDOs|171, 19, 152, 323, 494, 665, 190, 133, 836, 817, 475, 114, 361, 209 }}
 == Undevigintone ==
@@ Line 84: / Line 96: @@
 Badness: 0.022933
+{{Navbox fractional-octave}}