Nuwell family: Difference between revisions

m +categories
m Cleanup
Line 1: Line 1:
The '''nuwell family''' of [[planar temperament]]s temper out the nuwell comma ([[2430/2401]]).
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]]: [{{val| 1 0 3 1 }}, {{val| 0 1 3 2 }}, {{val| 0 0 -4 -1 }}]


Badness: 0.000519
{{Val list|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 Brother ==
== Big Brother ==
Commas: 99/98, 121/120
Subgroup: 2.3.5.7.11


Map: [&lt;1 0 3 1 3|, &lt;0 1 3 2 2|, &lt;0 0 -4 -1 -2|]
[[Comma list]]: 99/98, 121/120


EDOs: 8d, 9, 22, 31, 53
[[Mapping]]: [{{val| 1 0 3 1 3 }}, {{val| 0 1 3 2 2 }}, {{val| 0 0 -4 -1 -2 }}]


Badness: 0.000507
{{Val list|legend=1| 8d, 9, 22, 31, 53 }}


Projection pairs: 5 2401/486 11 98/9 to 2.3.7
[[Badness]]: 0.507 × 10<sup>-3</sup>
 
[[Projection pair]]s: 5 2401/486 11 98/9 to 2.3.7


=== 13-limit ===
=== 13-limit ===
Commas: 66/65, 99/98, 121/120
Subgroup: 2.3.5.7.11.13
 
Comma list: 66/65, 99/98, 121/120


Map: [&lt;1 0 3 1 3 1|, &lt;0 1 3 2 2 0|, &lt;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 }}]


EDOs: 8d, 9, 22f, 31
Vals: {{Val list| 8d, 9, 22f, 31 }}


[[Category:Theory]]
[[Category:Regular temperament theory]]
[[Category:Temperament family]]
[[Category:Temperament family]]
[[Category:Nuwell| ]] <!-- main article -->
[[Category:Nuwell family| ]] <!-- main article -->
[[Category:Rank 3]]
[[Category:Rank 3]]
[[Category:Nuwell]]