Didymus rank-3 family: Difference between revisions
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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 | ||