Dimcomp family: Difference between revisions

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-The '''dimcomp family''' of rank-three temperaments tempers out the [[dimcomp comma]], 390625/388962.
+The '''dimcomp family''' of rank-3 temperaments tempers out the [[dimcomp comma]], 390625/388962.
-== Dimcomp ==
+= Dimcomp =
+Subgroup: 2.3.5.7
-Commas: [[390625/388962]]
+[[Comma list]]: [[390625/388962]]
-Map: [&lt;4 0 0 -1|, &lt;0 1 0 -1|, &lt;0 0 1 2|]
+[[Mapping]]: [{{val| 4 0 0 -1 }}, {{val| 0 1 0 -1 }}, {{val| 0 0 1 2 }}]
-EDOs: {{EDOs| 12, 56, 60, 68, 72, 140, 152, 212, 224, 364, 588, 952 }}
+{{Val list|legend=1| 12, 56, 60, 68, 72, 140, 152, 212, 224, 364, 588, 952 }}
-Badness: 0.000783
+[[Badness]]: 0.783 × 10<sup>-3</sup>
-=== 11-limit ===
+= Undecimal dimcomp =
+Subgroup: 2.3.5.7.11
-Commas: 1375/1372, 6250/6237
+[[Comma list]]: 1375/1372, 6250/6237
-Map: [&lt;4 0 0 -1 5|, &lt;0 1 0 -1 -3|, &lt;0 0 1 2 3|]
+[[Mapping]]: [{{val| 4 0 0 -1 5 }}, {{val| 0 1 0 -1 -3 }}, {{val| 0 0 1 2 3 }}]
-EDOs: {{EDOs| 12, 68, 72, 140, 152, 224, 364, 436, 588 }}
+{{Val list|legend=1| 12, 68, 72, 140, 152, 224, 364, 436, 588 }}
-Badness: 0.000624
+[[Badness]]: 0.624 × 10<sup>-3</sup>
-=== 13-limit ===
+== 13-limit ==
+Subgroup: 2.3.5.7.11.13
-Commas: 625/624, 1375/1372, 2080/2079
+Comma list: 625/624, 1375/1372, 2080/2079
-Map: [&lt;4 0 0 -1 5 -16|, &lt;0 1 0 -1 -3 -1|, &lt;0 0 1 2 3 4|]
+Mapping: [{{val| 4 0 0 -1 5 -16 }}, {{val| 0 1 0 -1 -3 -1 }}, {{val| 0 0 1 2 3 4 }}]
-EDOs: {{EDOs| 68, 72, 140, 212, 224, 364, 436, 588, 660 }}
+Vals: {{Val list| 68, 72, 140, 212, 224, 364, 436, 588, 660 }}
-Badness: 0.000820
+Badness: 0.820 × 10<sup>-3</sup>
-== Octopod ==
+= Octopod =
+Subgroup: 2.3.5.7.11.13
-Commas: 540/539, 1375/1372, 4000/3993
+Comma list: 540/539, 1375/1372, 4000/3993
-Map: [&lt;8 1 3 3 16 0|, &lt;0 3 4 5 3 0|, &lt;0 0 0 0 0 1|]
+Mapping: [{{val| 8 1 3 3 16 0 }}, {{val| 0 3 4 5 3 0 }}, {{val| 0 0 0 0 0 1 }}]
-EDOs: {{EDOs| 72, 144, 152, 224 }}
+Vals: {{Val list| 72, 144, 152, 224 }}
-Badness: 0.001244
+Badness: 1.244 × 10<sup>-3</sup>
-[[Category:Theory]]
+[[Category:Regular temperament theory]]
 [[Category:Temperament family]]
 [[Category:Dimcomp]]
 [[Category:Rank 3]]