118th-octave temperaments: Difference between revisions

@@ Line 18: / Line 18: @@
 [[Badness]]: 0.145166
-==== 11-limit ====
+=== 11-limit ===
 Subgroup: 2.3.5.7.11
@@ Line 50: / Line 50: @@
 Badness: 0.357
-===== 13-limit =====
+==== 13-limit ====
 Subgroup: 2.3.5.7.11.13
@@ Line 82: / Line 82: @@
 [[Badness]]: 2.66
-==== 11-limit ====
+=== 11-limit ===
 Subgroup: 2.3.5.7.11
@@ Line 95: / Line 95: @@
 Badness: 0.568
-==== 13-limit ====
+=== 13-limit ===
 Subgroup: 2.3.5.7.11.13
@@ Line 110: / Line 110: @@
 Badness: 0.172
-==== 17-limit ====
+=== 17-limit ===
 Subgroup: 2.3.5.7.11.13.17
@@ Line 123: / Line 123: @@
 {{Optimal ET sequence|legend=1| 354, 3068e, 3422, 3776 }}
-Badness: 0.105
+=== 19-limit ===
+The closest superparticular to one step of 118edo is [[171/170]], so 19-limit extension for oganesson is prescribed.
+Subgroup: 2.3.5.7.11.13.17.19
+Comma list: 4096/4095, 6175/6174, 9801/9800, 14365/14364, 28900/28899, 3438981/3437500
+Mapping: [{{val| 118 0 274 643 1094 499 607 1000}}, {{val| 0 3 0 -5 -11 -1 2 -8}}]
+: mapping generators: ~171/170, ~238/165
+Optimal tuning (CTE): ~238/165 = 634.006
+{{Optimal ET sequence|legend=1| 354, ..., 3422, 3776 }}
 [[Category:118edo]]
 [[Category:Temperament collections]]