Nuwell family: Difference between revisions
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The '''nuwell family''' of [[ | {{Technical data page}} | ||
The '''nuwell family''' of [[rank-3 temperament]]s temper out the nuwell comma, [[2430/2401]]. | |||
== Nuwell == | |||
[[Subgroup]]: 2.3.5.7 | |||
[[Comma list]]: 2430/2401 | |||
{{Mapping|legend=1| 1 0 3 1 | 0 1 3 2 | 0 0 -4 -1 }} | |||
Badness: 0. | : mapping generators: ~2, ~3, ~18/7 | ||
{{Optimal ET sequence|legend=1| 9, 22, 31, 53, 84, 137 }} | |||
[[Badness]]: 0.519 × 10<sup>-3</sup> | |||
[[Projection pair]]: 5 2401/486 to 2.3.7 | [[Projection pair]]: 5 2401/486 to 2.3.7 | ||
== Big | == Big brother == | ||
[[Subgroup]]: 2.3.5.7.11 | |||
[[Comma list]]: 99/98, 121/120 | |||
{{Mapping|legend=1| 1 0 3 1 3 | 0 1 3 2 2 | 0 0 -4 -1 -2 }} | |||
{{Optimal ET sequence|legend=1| 8d, 9, 22, 31, 53 }} | |||
[[Badness]]: 0.507 × 10<sup>-3</sup> | |||
[[Projection pair]]s: 5 2401/486 11 98/9 to 2.3.7 | |||
=== 13-limit === | |||
Subgroup: 2.3.5.7.11.13 | |||
Comma list: 66/65, 99/98, 121/120 | |||
Mapping: {{mapping| 1 0 3 1 3 1 | 0 1 3 2 2 0 | 0 0 -4 -1 -2 2 }} | |||
{{Optimal ET sequence|legend=1| 8d, 9, 22f, 31 }} | |||
[[Category:Temperament | [[Category:Temperament families]] | ||
[[Category:Nuwell| ]] <!-- main article --> | [[Category:Pages with mostly numerical content]] | ||
[[Category:Nuwell family| ]] <!-- main article --> | |||
[[Category:Rank 3]] | |||
[[Category:Nuwell]] | |||
Latest revision as of 00:33, 24 June 2025
- This is a list showing technical temperament data. For an explanation of what information is shown here, you may look at the technical data guide for regular temperaments.
The nuwell family of rank-3 temperaments temper out the nuwell comma, 2430/2401.
Nuwell
Subgroup: 2.3.5.7
Comma list: 2430/2401
Mapping: [⟨1 0 3 1], ⟨0 1 3 2], ⟨0 0 -4 -1]]
- mapping generators: ~2, ~3, ~18/7
Optimal ET sequence: 9, 22, 31, 53, 84, 137
Badness: 0.519 × 10-3
Projection pair: 5 2401/486 to 2.3.7
Big brother
Subgroup: 2.3.5.7.11
Comma list: 99/98, 121/120
Mapping: [⟨1 0 3 1 3], ⟨0 1 3 2 2], ⟨0 0 -4 -1 -2]]
Optimal ET sequence: 8d, 9, 22, 31, 53
Badness: 0.507 × 10-3
Projection pairs: 5 2401/486 11 98/9 to 2.3.7
13-limit
Subgroup: 2.3.5.7.11.13
Comma list: 66/65, 99/98, 121/120
Mapping: [⟨1 0 3 1 3 1], ⟨0 1 3 2 2 0], ⟨0 0 -4 -1 -2 2]]
Optimal ET sequence: 8d, 9, 22f, 31