Orwellismic temperaments: Difference between revisions

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 == Quartonic ==
-Quartonic tempers out saleyo comma, {{monzo|3 -18 11}} = 390625000/387420489 in the 5-limit. This temperament can be described as 26&amp;27 temperament, which tempers out the orwellisma and the octagar comma, 4000/3969. The name "quartonic" means quarter-tone, which is the generator of this temperament (representing ~[[36/35]] and ~[[40/39]]). Alternative extension [[Turkish maqam music temperaments #Yarman temperament|yarman]] (80&amp;159) slices the quartonic generator in three.
+Quartonic tempers out saleyo comma, {{monzo|3 -18 11}} = 390625000/387420489 in the 5-limit. This temperament can be described as 26&amp;27 temperament, which tempers out the orwellisma and the octagar comma, 4000/3969. The name "quartonic" means quarter-tone, which is the generator of this temperament (representing ~[[36/35]] and ~[[40/39]]). Alternative extension [[Turkish maqam music temperaments|yarman]] (80&amp;159) slices the quartonic generator in three.
 Subgroup: 2.3.5
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 Badness: 0.039891
+=== Yarm ===
+Subgroup: 2.3.5.7.11
+Comma list: 1331/1323, 1728/1715, 4000/3969
+Mapping: [{{val|1 2 3 3 4}}, {{val|0 -33 -54 -15 -43}}]
+POTE generator: ~100/99 = 15.046
+Optimal GPV sequence: {{Val list| 79, 80, 239dd, 319dd }}
+Badness: 0.099950
+==== 13-limit ====
+Subgroup: 2.3.5.7.11.13
+Comma list: 169/168, 325/324, 640/637, 1331/1323
+Mapping: [{{val|1 2 3 3 4 4}}, {{val|0 -33 -54 -15 -43 -24}}]
+POTE generator: ~100/99 = 15.060
+Optimal GPV sequence: {{Val list| 79, 80, 159d, 239dd }}
+Badness: 0.061645
+==== 17-limit ====
+Subgroup: 2.3.5.7.11.13.17
+Comma list: 169/168, 325/324, 561/560, 640/637, 850/847
+Mapping: [{{val|1 2 3 3 4 4 4}}, {{val|0 -33 -54 -15 -43 -24 7}}]
+POTE generator: ~100/99 = 15.066
+Optimal GPV sequence: {{Val list| 79, 80, 159d, 239dd }}
+Badness: 0.046718
 == Sentinel ==