Dimcomp family: Difference between revisions

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-The '''dimcomp family''' of rank-3 temperaments tempers out the [[dimcomp comma]], 390625/388962.
+{{Technical data page}}
+The '''dimcomp family''' of [[rank-3 temperament]]s tempers out the [[dimcomp comma]], 390625/388962.
-== Dimcomp  ==
+== Dimcomp ==
-Subgroup: 2.3.5.7
+[[Subgroup]]: 2.3.5.7
 [[Comma list]]: [[390625/388962]]
-[[Mapping]]: [{{val| 4 0 0 -1 }}, {{val| 0 1 0 -1 }}, {{val| 0 0 1 2 }}]
+{{Mapping|legend=1| 4 0 0 -1 | 0 1 0 -1 | 0 0 1 2 }}
-{{Val list|legend=1| 8d, 12, 44d, 48d, 56, 60, 68, 72, 140, 152, 212, 224, 364, 588, 952 }}
+: mapping generators: ~25/21, ~3, ~5
+{{Optimal ET sequence|legend=1| 8d, 12, 44d, 48d, 56, 60, 68, 72, 140, 152, 212, 224, 364, 588, 952 }}
 [[Badness]]: 0.783 × 10<sup>-3</sup>
-== Undecimal dimcomp  ==
+== Undecimal dimcomp ==
-Subgroup: 2.3.5.7.11
+[[Subgroup]]: 2.3.5.7.11
 [[Comma list]]: 1375/1372, 6250/6237
-[[Mapping]]: [{{val| 4 0 0 -1 5 }}, {{val| 0 1 0 -1 -3 }}, {{val| 0 0 1 2 3 }}]
+{{Mapping|legend=1| 4 0 0 -1 5 | 0 1 0 -1 -3 | 0 0 1 2 3 }}
-{{Val list|legend=1| 68, 72, 140, 152, 224, 364, 436, 588 }}
+{{Optimal ET sequence|legend=1| 68, 72, 140, 152, 224, 364, 436, 588 }}
 [[Badness]]: 0.624 × 10<sup>-3</sup>
-=== 13-limit  ===
+=== 13-limit ===
 Subgroup: 2.3.5.7.11.13
 Comma list: 625/624, 1375/1372, 2080/2079
-Mapping: [{{val| 4 0 0 -1 5 -16 }}, {{val| 0 1 0 -1 -3 -1 }}, {{val| 0 0 1 2 3 4 }}]
+Mapping: {{mapping| 4 0 0 -1 5 -16 | 0 1 0 -1 -3 -1 | 0 0 1 2 3 4 }}
-Vals: {{Val list| 68, 72, 140, 152f, 212, 224, 364, 436, 588, 660, 1024c }}
+{{Optimal ET sequence|legend=1| 68, 72, 140, 152f, 212, 224, 364, 436, 588, 660, 1024c }}
 Badness: 0.820 × 10<sup>-3</sup>
-== Octopod  ==
+== Octopod ==
 Subgroup: 2.3.5.7.11.13
 Comma list: 540/539, 1375/1372, 4000/3993
-Mapping: [{{val| 8 1 3 3 16 0 }}, {{val| 0 3 4 5 3 0 }}, {{val| 0 0 0 0 0 1 }}]
+Mapping: {{mapping| 8 1 3 3 16 0 | 0 3 4 5 3 0 | 0 0 0 0 0 1 }}
-Vals: {{Val list| 72, 144, 152f, 224, 824d }}
+{{Optimal ET sequence|legend=1| 72, 144, 152f, 224, 824d }}
 Badness: 1.244 × 10<sup>-3</sup>
-[[Category:Regular temperament theory]]
 [[Category:Temperament families]]
-[[Category:Dimcomp]]
+[[Category:Pages with mostly numerical content]]
+[[Category:Dimcomp family| ]] <!-- main article -->
+[[Category:Dimcomp| ]] <!-- key article -->
 [[Category:Rank 3]]