Dimcomp family: Difference between revisions
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The '''dimcomp family''' of rank-3 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 | Subgroup: 2.3.5.7 | ||
Line 12: | Line 12: | ||
[[Badness]]: 0.783 × 10<sup>-3</sup> | [[Badness]]: 0.783 × 10<sup>-3</sup> | ||
= Undecimal dimcomp = | == Undecimal dimcomp == | ||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
Line 23: | Line 23: | ||
[[Badness]]: 0.624 × 10<sup>-3</sup> | [[Badness]]: 0.624 × 10<sup>-3</sup> | ||
== 13-limit == | === 13-limit === | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
Line 34: | Line 34: | ||
Badness: 0.820 × 10<sup>-3</sup> | Badness: 0.820 × 10<sup>-3</sup> | ||
= Octopod = | == Octopod == | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
Revision as of 21:27, 1 June 2021
The dimcomp family of rank-3 temperaments tempers out the dimcomp comma, 390625/388962.
Dimcomp
Subgroup: 2.3.5.7
Mapping: [⟨4 0 0 -1], ⟨0 1 0 -1], ⟨0 0 1 2]]
Badness: 0.783 × 10-3
Undecimal dimcomp
Subgroup: 2.3.5.7.11
Comma list: 1375/1372, 6250/6237
Mapping: [⟨4 0 0 -1 5], ⟨0 1 0 -1 -3], ⟨0 0 1 2 3]]
Badness: 0.624 × 10-3
13-limit
Subgroup: 2.3.5.7.11.13
Comma list: 625/624, 1375/1372, 2080/2079
Mapping: [⟨4 0 0 -1 5 -16], ⟨0 1 0 -1 -3 -1], ⟨0 0 1 2 3 4]]
Vals: Template:Val list
Badness: 0.820 × 10-3
Octopod
Subgroup: 2.3.5.7.11.13
Comma list: 540/539, 1375/1372, 4000/3993
Mapping: [⟨8 1 3 3 16 0], ⟨0 3 4 5 3 0], ⟨0 0 0 0 0 1]]
Vals: Template:Val list
Badness: 1.244 × 10-3