Nexus family: Difference between revisions
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The '''nexus 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}}. 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. | |||
Period: ~121/96 = 1\3 | |||
Optimal (POTE) generators: 950.9518, 386.2068, 968.6966 | |||
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 | |||
Wedgie: <<<<6 0 0 3 -16]]]] | |||
EDOs: 9, 15, 24, 39d, 48, 57, 63, 72, 159, 183, 198, 255, 270, 342, 612, 954, 1566 | |||
Badness: 0.588×10<sup>-6</sup> | |||
Revision as of 17:42, 21 April 2021
The nexus 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⟩. 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.
Period: ~121/96 = 1\3
Optimal (POTE) generators: 950.9518, 386.2068, 968.6966
Comma list: 1771561/1769472
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]]]]
EDOs: 9, 15, 24, 39d, 48, 57, 63, 72, 159, 183, 198, 255, 270, 342, 612, 954, 1566
Badness: 0.588×10-6