Nuwell family: Difference between revisions

m Cleanup
 
(6 intermediate revisions by 4 users not shown)
Line 1: Line 1:
{{Technical data page}}
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]].


== Nuwell ==
== Nuwell ==
Subgroup: 2.3.5.7
[[Subgroup]]: 2.3.5.7


[[Comma list]]: 2430/2401
[[Comma list]]: 2430/2401


[[Mapping]]: [{{val| 1 0 3 1 }}, {{val| 0 1 3 2 }}, {{val| 0 0 -4 -1 }}]
{{Mapping|legend=1| 1 0 3 1 | 0 1 3 2 | 0 0 -4 -1 }}


{{Val list|legend=1| 9, 22, 31, 53, 84, 137 }}
: mapping generators: ~2, ~3, ~18/7
 
{{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 14: Line 17:
[[Projection pair]]: 5 2401/486 to 2.3.7
[[Projection pair]]: 5 2401/486 to 2.3.7


== Big Brother ==
== Big brother ==
Subgroup: 2.3.5.7.11
[[Subgroup]]: 2.3.5.7.11


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


[[Mapping]]: [{{val| 1 0 3 1 3 }}, {{val| 0 1 3 2 2 }}, {{val| 0 0 -4 -1 -2 }}]
{{Mapping|legend=1| 1 0 3 1 3 | 0 1 3 2 2 | 0 0 -4 -1 -2 }}


{{Val list|legend=1| 8d, 9, 22, 31, 53 }}
{{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 32: Line 35:
Comma list: 66/65, 99/98, 121/120
Comma list: 66/65, 99/98, 121/120


Mapping: [{{val| 1 0 3 1 3 1 }}, {{val| 0 1 3 2 2 0 }}, {{val| 0 0 -4 -1 -2 2 }}]
Mapping: {{mapping| 1 0 3 1 3 1 | 0 1 3 2 2 0 | 0 0 -4 -1 -2 2 }}


Vals: {{Val list| 8d, 9, 22f, 31 }}
{{Optimal ET sequence|legend=1| 8d, 9, 22f, 31 }}


[[Category:Regular temperament theory]]
[[Category:Temperament families]]
[[Category:Temperament family]]
[[Category:Pages with mostly numerical content]]
[[Category:Nuwell family| ]] <!-- main article -->
[[Category:Nuwell family| ]] <!-- main article -->
[[Category:Rank 3]]
[[Category:Rank 3]]
[[Category:Nuwell]]
[[Category:Nuwell]]