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

Comma list: 390625/388962

Mapping: [4 0 0 -1], 0 1 0 -1], 0 0 1 2]]

Template:Val list

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]]

Template:Val list

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