Ragismic microtemperaments: Difference between revisions

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 Badness: 0.052366
+==Aluminium==
+Aluminium is named after the 13th element, and tempers out the {{monzo|92 -39 -13}} comma which sets [[135/128]] interval to be equal to 1/13th of the octave.
+Subgroup: 2.3.5
+Comma list: {{monzo|92 -39 -13}}
+Mapping: [{{val|13 13 53}}, {{val|0 1 -3}}]
+Mapping generators: ~135/128, ~3
+Optimal tuning (CTE): ~3/2 = 701.990
+Vals: {{Val list|65, 299, 364, 494, 559, 624, 1547, ...}}
+=== 7-limit ===
+Subgroup: 2.3.5.7
+Comma list: 4375/4374, {{monzo|93 -32 -17 -1}}
+Mapping: [{{val|13 13 53 -108}}, {{val|0 1 -3 19}}]
+Optimal tuning (CTE): ~3/2 = 702.002
+Vals: {{EDOs|494, 1547, ...}}
+=== 11-limit ===
+Subgroup: 2.3.5.7.11
+Comma list: 4375/4374, 820125/819896, 2097152/2096325
+Mapping: [{{val|13 13 53 -108}}, {{val|0 1 -3 19}}]
+Optimal tuning (CTE): ~3/2 = 702.004
+Vals: {{EDOs|494, 1547, ...}}
+=== 13-limit ===
+Subgroup: 2.3.5.7.11.13
+Comma list: 4096/4095, 4375/4374, 6656/6655, 91125/91091
+Mapping: [{{val|13 13 53 -108 83 185}}, {{val|0 1 -3 19 -5 -18}}]
+Optimal tuning (CTE): ~3/2 = 702.010
+Vals: {{EDOs|494, 1547, ...}}
 [[Category:Temperament collections]]