Augmented family: Difference between revisions

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 == Hemisemiaug ==
-Comma list: 128/125, 12005/11664
+Subgroup: 2.3.5.7
-POTE generator: ~15/14 = 144.515
+[[Comma list]]: 128/125, 12005/11664
-Map: [&lt;6 1 14 4|, &lt;0 2 0 3|]
+[[Mapping]]: [{{val|6 1 14 4}}, {{val|0 2 0 3}}]
-Wedgie: &lt;&lt;12 0 18 -28 -5 42||
+{{Multival|legend=1| 12 0 18 -28 -5 42}}
-Edos: 18, 24, 42, 66c, 108bc
+[[POTE generator]]: ~15/14 = 144.515
-Badness: 0.210984
+{{Val list|legend=1| 18, 24, 42, 66c, 108bcc }}
+[[Badness]]: 0.210984
 === 11-limit ===
+Subgroup: 2.3.5.7.11
 Comma list: 56/55, 128/125, 3773/3645
+Mapping: [{{val|6 1 14 4 8}}, {{val|0 2 0 3 3}}]
 POTE generator: ~15/14 = 144.780
-Map: [&lt;6 1 14 4 8|, &lt;0 2 0 3 3|]
+Vals: {{Val list| 24, 42e, 66ce, 108bccee }}
-EDOs: 24, 42e, 66ce, 108bce
 Badness: 0.080738
 == Niner ==
-Niner gives 9 as the complexity of an otonal tetrad, tying it with augene as a temperament supported by 27edo. Niner[18], therefore, has nine such tetrads.
+Niner gives 9 as the complexity of an otonal tetrad, tying it with augene as a temperament supported by 27EDO. Niner[18], therefore, has nine such tetrads.
-Comma list: 128/125, 686/675
+Subgroup: 2.3.5.7
-POTE generator: ~3/2 = 707.167
+[[Comma list]]: 128/125, 686/675
-Map: [&lt;9 0 21 11|, &lt;0 1 0 1|]
+[[Mapping]]: [{{val|9 0 21 11}}, {{val|0 1 0 1}}]
-Wedgie: &lt;&lt;9 0 9 -21 -11 21||
+{{Multival|legend=1|9 0 9 -21 -11 21}}
-EDOs: 9, 18, 27, 63c, 90c
+[[POTE generator]]: ~3/2 = 707.167
-Badness: 0.067157
+{{Val list|legend=1| 9, 18, 27, 63c, 90cc }}
+[[Badness]]: 0.067157
 === 11-limit ===
+Subgroup: 2.3.5.7.11
 Comma list: 56/55, 128/125, 540/539
+Mapping: [{{val|9 0 21 11 17}}, {{val|0 1 0 1 1}}]
 POTE generator: ~3/2 = 706.726
-Map: [&lt;9 0 21 11 17|, &lt;0 1 0 1 1|]
+Vals: {{Val list| 9, 27e, 36, 63cee }}
-EDOs: 9, 27e, 36, 63ce
 Badness: 0.034861
 === 13-limit ===
+Subgroup: 2.3.5.7.11.13
 Comma list: 56/55, 78/77, 91/90, 128/125
+Mapping: [{{val|9 0 21 11 17 19}}, {{val|0 1 0 1 1 1}}]
 POTE generator: ~3/2 = 706.889
-Map: [&lt;9 0 21 11 17 19|, &lt;0 1 0 1 1 1|]
+Vals: {{Val list| 9, 27e, 36, 63cee }}
-EDOs: 9, 27e, 36, 63ce
 Badness: 0.024143