Maquila family: Difference between revisions

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-The maquila family tempers out the maquila comma, 562949953421312/556182861328125 = |49 -6 -17&gt;
+{{Technical data page}}
+The '''maquila family''' of [[Rank-2 temperament|rank-2]] [[temperament]]s [[Tempering out|tempers out]] the [[maquila comma]], 562949953421312/556182861328125 = {{monzo| 49 -6 -17 }}.
-=Maquila=
+== Maquila ==
-Comma: 562949953421312/556182861328125
+[[Subgroup]]: 2.3.5
-POTE generator: ~375/256 = 664.563
+[[Comma list]]: {{monzo| 49 -6 -17 }}
-Map: [&lt;1 11 -1|, &lt;0 -17 6|]
+{{Mapping|legend=1| 1 -6 5 | 0 17 -6 }}
-EDOs: 9, 56, 65, 186, 251, 316, 381, 697c
+[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~512/375 = 535.437
-Badness: 0.47251
+{{Optimal ET sequence|legend=1| 9, 38b, 47b, 56, 65, 186, 251, 316, 381, 697c }}
-=Hemimaquila=
+[[Badness]]: 0.472510
-Commas: 6144/6125, 184528125/184473632
-POTE generator: ~7/6 = 267.716
+== Septimal maquila ==
+[[Subgroup]]: 2.3.5.7
-Map: [&lt;1 -6 5 -5|, &lt;0 34 -12 35|]
+[[Comma list]]: 225/224, 30233088/28824005
-Wedgie: &lt;&lt;34 -12 35 -98 -40 115||
+{{Mapping|legend=1| 1 -6 5 -7 | 0 17 -6 22 }}
-EDOs: 9, 121, 130, 251, 381
+[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~48/35 = 535.322
-Badness: 0.11146
+{{Optimal ET sequence|legend=1| 9, 56d, 65d }}
-==11-limit==
+[[Badness]]: 0.232430
-Commas: 540/539, 5632/5625, 12005/11979
-POTE generator: ~7/6 = 267.717
+=== 11-limit ===
+Subgroup: 2.3.5.7.11
-Map: [&lt;1 -6 5 -5 -1|, &lt;0 34 -12 35 20|]
+Comma list: 99/98, 176/175, 73728/73205
-EDOs: 9, 121, 130, 251e, 381e
+Mapping: {{mapping| 1 -6 5 -7 -1 | 0 17 -6 22 10 }}
-Badness: 0.0474
+Optimal tuning (POTE): ~2 = 1\1, ~15/11 = 535.321
-==13-limit==
+{{Optimal ET sequence|legend=1| 9, 56d, 65d }}
-Commas: 364/363, 540/539, 676/675, 3584/3575
-POTE generator: ~7/6 = 267.719
+Badness: 0.072550
-Map: [&lt;1 -6 5 -5 -1 -5|, &lt;0 34 -12 35 20 39|]
+=== 13-limit ===
+Subgroup: 2.3.5.7.11.13
-EDOs: 9, 121, 130, 251e, 381e
+Comma list: 99/98, 144/143, 176/175, 847/845
-Badness: 0.0244
+Mapping: {{mapping| 1 -6 5 -7 -1 -7 | 0 17 -6 22 10 24 }}
+Optimal tuning (POTE): ~2 = 1\1, ~15/11 = 535.298
+{{Optimal ET sequence|legend=1| 9, 56df, 65d, 139df, 204ddff }}
+Badness: 0.042198
+== Maquiloid ==
+[[Subgroup]]: 2.3.5.7
+[[Comma list]]: 686/675, 65625/65536
+{{Mapping|legend=1| 1 -6 5 -3 | 0 17 -6 13 }}
+[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~175/128 = 535.482
+{{Optimal ET sequence|legend=1| 9, 38b, 47b, 56, 65, 121d, 186dd }}
+[[Badness]]: 0.188977
+=== 11-limit ===
+Subgroup: 2.3.5.7.11
+Comma list: 245/242, 385/384, 686/675
+Mapping: {{mapping| 1 -6 5 -3 -1 | 0 17 -6 13 10 }}
+Optimal tuning (POTE): ~2 = 1\1, ~15/11 = 535.485
+{{Optimal ET sequence|legend=1| 9, 38be, 47b, 56, 65, 121d, 186dde }}
+Badness: 0.066234
+=== 13-limit ===
+Subgroup: 2.3.5.7.11.13
+Comma list: 91/90, 169/168, 245/242, 385/384
+Mapping: {{mapping| 1 -6 5 -3 -1 -3 | 0 17 -6 13 10 15 }}
+Optimal tuning (POTE): ~2 = 1\1, ~15/11 = 535.501
+{{Optimal ET sequence|legend=1| 9, 38be, 47b, 56, 65f, 121df, 186ddeff }}
+Badness: 0.041850
+== Hemimaquila ==
+[[Subgroup]]: 2.3.5.7
+[[Comma list]]: 6144/6125, 184528125/184473632
+{{Mapping|legend=1| 1 -6 5 -5 | 0 34 -12 35 }}
+[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~7/6 = 267.716
+{{Optimal ET sequence|legend=1| 9, 121, 130, 251, 381 }}
+[[Badness]]: 0.111465
+=== 11-limit ===
+Subgroup: 2.3.5.7.11
+Comma list: 540/539, 5632/5625, 12005/11979
+Mapping: {{mapping| 1 -6 5 -5 -1 | 0 34 -12 35 20 }}
+Optimal tuning (POTE): ~2 = 1\1, ~7/6 = 267.717
+{{Optimal ET sequence|legend=1| 9, 121, 130, 251e, 381e }}
+Badness: 0.047440
+=== 13-limit ===
+Subgroup: 2.3.5.7.11.13
+Comma list: 364/363, 540/539, 676/675, 3584/3575
+Mapping: {{mapping| 1 -6 5 -5 -1 -5 | 0 34 -12 35 20 39 }}
+Optimal tuning (POTE): ~2 = 1\1, ~7/6 = 267.719
+{{Optimal ET sequence|legend=1| 9, 121, 130, 251e, 381e }}
+Badness: 0.024445
+[[Category:Temperament families]]
+[[Category:Pages with mostly numerical content]]
+[[Category:Maquila family| ]] <!-- main article -->
+[[Category:Maquila| ]] <!-- key article -->
+[[Category:Rank 2]]