Nuwell family: Difference between revisions
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The '''nuwell family''' of [[rank-3 temperament]]s temper out the nuwell comma, [[2430/2401]]. | The '''nuwell family''' of [[rank-3 temperament]]s temper out the nuwell comma, [[2430/2401]]. | ||
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[[Category:Nuwell family| ]] <!-- main article --> | [[Category:Nuwell family| ]] <!-- main article --> | ||
[[Category:Rank 3]] | [[Category:Rank 3]] | ||
[[Category:Nuwell]] | [[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