Nexus family: Difference between revisions
Redirected page to The Nexus Tag: New redirect |
m Text replacement - "Category:Temperament families" to "Category:Temperament families Category:Pages with mostly numerical content" |
||
| (19 intermediate revisions by 7 users not shown) | |||
| Line 1: | Line 1: | ||
{{Technical data page}} | |||
The '''nexus family''' is a family of [[rank-4]] temperaments tempers out the [[nexus comma]], the unnoticeable comma with the ratio 1771561/1769472, and a monzo of {{monzo|-16 -3 0 0 6}}, however, most of the members of this rank-4 family currently have yet to be explored. For other families that are defined by the tempering of this comma, see [[the Nexus]]. | |||
== Nexus == | |||
This is the parent temperament of the nexus family. In this temperament, the 5-limit and 7-limit parts are represented by independent generators. | |||
Subgroup: 2.3.5.7.11 | |||
[[Comma list]]: [[1771561/1769472]] | |||
[[Mapping]]: [{{val| 3 0 0 0 8}}, {{val| 0 2 0 0 1}}, {{val| 0 0 1 0 0}}, {{val| 0 0 0 1 0}}] | |||
Mapping generators: ~121/96, ~1331/768, ~5/1, ~7/1 | |||
[[POTE generator]]s: ~1331/768 = 950.9518, ~5/4 = 386.2068, ~7/4 = 968.6966 | |||
{{Optimal ET sequence|legend=1| 9, 15, 24, 39d, 48, 57, 63, 72, 159, 183, 198, 255, 270, 342, 612, 954, 1566 }} | |||
[[Badness]]: 0.588 × 10<sup>-6</sup> | |||
=== 13-limit === | |||
{{todo|review|inline=yes|comment=Add optimal ET sequence & badness}} | |||
Subgroup: 2.3.5.7.11.13 | |||
[[Comma list]]: [[1771561/1769472]], [[676/675]] | |||
[[Mapping]]: [⟨3 0 0 0 8 -3], ⟨0 2 0 0 1 3], ⟨0 0 1 0 0 1], ⟨0 0 0 1 0 0]⟩ | |||
Mapping generators: ⟨1200.000, 1902.167, 2786.583, 3368.823, 4151.084, 4439.834] | |||
[[POTE generator]]s: ⟨400.0000, 951.0837, 2786.5829, 3368.8230] | |||
{{Optimal ET sequence|legend=1| }} | |||
[[Badness]]: | |||
[[Category:Temperament families]] | |||
[[Category:Pages with mostly numerical content]] | |||
[[Category:Nexus family| ]] <!-- main article --> | |||
[[Category:Rank 4]] | |||