Dimcomp family: Difference between revisions

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-The dimcomp family of rank three 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 ==
-Commas: 390625/388962
+[[Subgroup]]: 2.3.5.7
-Map: [&lt;4 0 0 -1|, &lt;0 1 0 -1|, &lt;0 0 1 2|]
+[[Comma list]]: [[390625/388962]]
-EDOs: 12, 56, 60, 68, 72, 140, 152, 212, 224, 364, 588, 952
+{{Mapping|legend=1| 4 0 0 -1 | 0 1 0 -1 | 0 0 1 2 }}
-Badness: 0.000783
+: mapping generators: ~25/21, ~3, ~5
-==11-limit==
+{{Optimal ET sequence|legend=1| 8d, 12, 44d, 48d, 56, 60, 68, 72, 140, 152, 212, 224, 364, 588, 952 }}
-Commas: 1375/1372, 6250/6237
-Map: [&lt;4 0 0 -1 5|, &lt;0 1 0 -1 -3|, &lt;0 0 1 2 3|]
+[[Badness]]: 0.783 × 10<sup>-3</sup>
-EDOs: 12, 68, 72, 140, 152, 224, 364, 436, 588
+== Undecimal dimcomp ==
+[[Subgroup]]: 2.3.5.7.11
-Badness: 0.000624
+[[Comma list]]: 1375/1372, 6250/6237
-==13-limit==
+{{Mapping|legend=1| 4 0 0 -1 5 | 0 1 0 -1 -3 | 0 0 1 2 3 }}
-Commas: 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|]
+{{Optimal ET sequence|legend=1| 68, 72, 140, 152, 224, 364, 436, 588 }}
-EDOs: 68, 72, 140, 212, 224, 364, 436, 588, 660
+[[Badness]]: 0.624 × 10<sup>-3</sup>
-Badness: 0.000820
+=== 13-limit ===
+Subgroup: 2.3.5.7.11.13
-=Octopod=
+Comma list: 625/624, 1375/1372, 2080/2079
-Commas: 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: {{mapping| 4 0 0 -1 5 -16 | 0 1 0 -1 -3 -1 | 0 0 1 2 3 4 }}
-EDOs: 72, 144, 152, 224
+{{Optimal ET sequence|legend=1| 68, 72, 140, 152f, 212, 224, 364, 436, 588, 660, 1024c }}
-Badness: 0.001244
+Badness: 0.820 × 10<sup>-3</sup>
+== Octopod ==
+Subgroup: 2.3.5.7.11.13
+Comma list: 540/539, 1375/1372, 4000/3993
+Mapping: {{mapping| 8 1 3 3 16 0 | 0 3 4 5 3 0 | 0 0 0 0 0 1 }}
+{{Optimal ET sequence|legend=1| 72, 144, 152f, 224, 824d }}
+Badness: 1.244 × 10<sup>-3</sup>
+[[Category:Temperament families]]
+[[Category:Pages with mostly numerical content]]
+[[Category:Dimcomp family| ]] <!-- main article -->
+[[Category:Dimcomp| ]] <!-- key article -->
+[[Category:Rank 3]]