Nexus family: Difference between revisions
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m Moving from Category:Temperament family to Category:Temperament families using Cat-a-lot |
m Removing from Category:Regular temperament theory using Cat-a-lot |
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[[Badness]]: 0.588 × 10<sup>-6</sup> | [[Badness]]: 0.588 × 10<sup>-6</sup> | ||
[[Category:Temperament families]] | [[Category:Temperament families]] | ||
[[Category:Nexus family| ]] <!-- main article --> | [[Category:Nexus family| ]] <!-- main article --> | ||
[[Category:Rank 4]] | [[Category:Rank 4]] | ||
Revision as of 22:04, 2 March 2022
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 [-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
Mapping: [⟨3 0 0 0 8], ⟨0 2 0 0 1], ⟨0 0 1 0 0], ⟨0 0 0 1 0]]
Mapping generators: ~121/96, ~1331/768, ~5/1, ~7/1
Wedgie: ⟨⟨⟨⟨ 6 0 0 3 -16 ]]]]
POTE generators: ~1331/768 = 950.9518, ~5/4 = 386.2068, ~7/4 = 968.6966
Badness: 0.588 × 10-6