Didymus rank-3 family: Difference between revisions

+7-limit didymus
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The '''didymus rank-3 family''' are rank-3 temperaments tempering out the didymus comma, [[81/80]]. If nothing else is tempered out we have a [[7-limit]] [[planar temperament]], with an [[11-limit]] comma we get an 11-limit temperament, and so forth.
The '''didymus rank-3 family''' are rank-3 temperaments tempering out the didymus comma, [[81/80]]. If nothing else is tempered out we have a [[7-limit]] [[planar temperament]], with an [[11-limit]] comma we get an 11-limit temperament, and so forth.


= Didymus =
== Didymus ==
Subgroup: 2.3.5.7
Subgroup: 2.3.5.7


Line 14: Line 14:
[[Badness]]: 0.095 × 10<sup>-3</sup>
[[Badness]]: 0.095 × 10<sup>-3</sup>


= Euterpe =
== Euterpe ==


Subgroup: 2.3.5.7.11
Subgroup: 2.3.5.7.11
Line 33: Line 33:
[[Badness]]: 0.536 × 10<sup>-3</sup>
[[Badness]]: 0.536 × 10<sup>-3</sup>


= Calliope =
== Calliope ==


Subgroup: 2.3.5.7.11
Subgroup: 2.3.5.7.11
Line 52: Line 52:
[[Badness]]: 0.530 × 10<sup>-3</sup>
[[Badness]]: 0.530 × 10<sup>-3</sup>


= Erato =
== Erato ==


Subgroup: 2.3.5.7.11
Subgroup: 2.3.5.7.11
Line 66: Line 66:
[[Badness]]: 0.558 × 10<sup>-3</sup>
[[Badness]]: 0.558 × 10<sup>-3</sup>


== 13-limit ==
=== 13-limit ===


Subgroup: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11.13
Line 78: Line 78:
{{Val list|legend=1| 12f, 19, 31, 50, 81 }}
{{Val list|legend=1| 12f, 19, 31, 50, 81 }}


= Clio =
== Clio ==


Subgroup: 2.3.5.7.11
Subgroup: 2.3.5.7.11
Line 97: Line 97:
[[Badness]]: 0.738 × 10<sup>-3</sup>
[[Badness]]: 0.738 × 10<sup>-3</sup>


= Polyhymnia =
== Polyhymnia ==


Subgroup: 2.3.5.7.11
Subgroup: 2.3.5.7.11
Line 109: Line 109:
{{Val list|legend=1| 7, 12e, 19, 24, 26, 31 }}
{{Val list|legend=1| 7, 12e, 19, 24, 26, 31 }}


= Thalia =
== Thalia ==


Subgroup: 2.3.5.7.11
Subgroup: 2.3.5.7.11
Line 121: Line 121:
{{Val list|legend=1| 5, 7, 12e, 14c, 19e }}
{{Val list|legend=1| 5, 7, 12e, 14c, 19e }}


= Melpomene =
== Melpomene ==


Subgroup: 2.3.5.7.11
Subgroup: 2.3.5.7.11
Line 133: Line 133:
{{Val list|legend=1| 7d, 12, 17c, 19, 24, 31e, 36 }}
{{Val list|legend=1| 7d, 12, 17c, 19, 24, 31e, 36 }}


= Urania =
== Urania ==


Subgroup: 2.3.5.7.11
Subgroup: 2.3.5.7.11
Line 157: Line 157:
Scales: [[urania24]]
Scales: [[urania24]]


= Terpsichore =
== Terpsichore ==


Subgroup: 2.3.5.7.11
Subgroup: 2.3.5.7.11