Nuwell family: Difference between revisions

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The nuwell family of [[Planar_Temperament|planar temperament]]s temper out the nuwell comma, 2430/2401.
{{Technical data page}}
The '''nuwell family''' of [[rank-3 temperament]]s temper out the nuwell comma, [[2430/2401]].


Comma: 2430/2401
== Nuwell ==
[[Subgroup]]: 2.3.5.7


Map: [<1 0 3 1|, <0 1 3 2|, <0 0 -4 -1|]
[[Comma list]]: 2430/2401


EDOs: 9, 22, 31, 53, 84, 137
{{Mapping|legend=1| 1 0 3 1 | 0 1 3 2 | 0 0 -4 -1 }}


Badness: 0.000519
: mapping generators: ~2, ~3, ~18/7


[[Projection_pair|Projection pair]]: 5 2401/486 to 2.3.7
{{Optimal ET sequence|legend=1| 9, 22, 31, 53, 84, 137 }}


==Big Brother==
[[Badness]]: 0.519 × 10<sup>-3</sup>
Commas: 99/98, 121/120


Map: [&lt;1 0 3 1 3|, &lt;0 1 3 2 2|, &lt;0 0 -4 -1 -2|]
[[Projection pair]]: 5 2401/486 to 2.3.7


EDOs: 9, 22, 31, 53
== Big brother ==
[[Subgroup]]: 2.3.5.7.11


Badness: 0.000507
[[Comma list]]: 99/98, 121/120


Projection pairs: 5 2401/486 11 98/9 to 2.3.7
{{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 families]]
[[Category:Pages with mostly numerical content]]
[[Category:Nuwell family| ]] <!-- main article -->
[[Category:Rank 3]]
[[Category:Nuwell]]