Nuwell family: Difference between revisions
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m Removing from Category:Regular temperament theory using Cat-a-lot |
Cmloegcmluin (talk | contribs) "optimal GPV sequence" → "optimal ET sequence", per Talk:Optimal_ET_sequence |
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| Line 8: | Line 8: | ||
[[Mapping]]: [{{val| 1 0 3 1 }}, {{val| 0 1 3 2 }}, {{val| 0 0 -4 -1 }}] | [[Mapping]]: [{{val| 1 0 3 1 }}, {{val| 0 1 3 2 }}, {{val| 0 0 -4 -1 }}] | ||
{{ | {{Optimal ET sequence|legend=1| 9, 22, 31, 53, 84, 137 }} | ||
[[Badness]]: 0.519 × 10<sup>-3</sup> | [[Badness]]: 0.519 × 10<sup>-3</sup> | ||
| Line 21: | Line 21: | ||
[[Mapping]]: [{{val| 1 0 3 1 3 }}, {{val| 0 1 3 2 2 }}, {{val| 0 0 -4 -1 -2 }}] | [[Mapping]]: [{{val| 1 0 3 1 3 }}, {{val| 0 1 3 2 2 }}, {{val| 0 0 -4 -1 -2 }}] | ||
{{ | {{Optimal ET sequence|legend=1| 8d, 9, 22, 31, 53 }} | ||
[[Badness]]: 0.507 × 10<sup>-3</sup> | [[Badness]]: 0.507 × 10<sup>-3</sup> | ||
| Line 34: | Line 34: | ||
Mapping: [{{val| 1 0 3 1 3 1 }}, {{val| 0 1 3 2 2 0 }}, {{val| 0 0 -4 -1 -2 2 }}] | Mapping: [{{val| 1 0 3 1 3 1 }}, {{val| 0 1 3 2 2 0 }}, {{val| 0 0 -4 -1 -2 2 }}] | ||
{{Optimal ET sequence|legend=1| 8d, 9, 22f, 31 }} | |||
[[Category:Temperament families]] | [[Category:Temperament families]] | ||
Revision as of 18:09, 7 May 2023
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]]
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