Nexus family: Difference between revisions

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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 ~~found~~. For other families that are defined by the tempering of this comma see [[the Nexus]].

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.

~~Period~~: ~~~121/96 = 1\~~3

Subgroup: 2.3.5.7.11

~~Optimal (POTE) generators~~: ~~950.9518, 386.2068, 968.6966~~

[[Comma list]]: [[1771561/1769472]]

~~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: ~~[{{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

~~Mapping generators: ~121/96, ~1331/768, ~5/1, ~7/~~1

~~Wedgie: <<<<6 0 0 3 -16]]~~]]

[[POTE generator]]s: ~1331/768 = 950.9518, ~5/4 = 386.2068, ~7/4 = 968.6966

~~EDOs:~~ 9, 15, 24, 39d, 48, 57, 63, 72, 159, 183, 198, 255, 270, 342, 612, 954, 1566

{{Val list|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>

[[Badness]]: 0.588 × 10<sup>-6</sup>

[[Category:Nexus]]

[[Category:Regular temperament theory]]

[[Category:Temperament family]]

[[Category:Nexus family| ]]

[[Category:Rank 4]]

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-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 found.  For other families that are defined by the tempering of this comma see [[the Nexus]].
+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.
+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
+Subgroup: 2.3.5.7.11
-Optimal (POTE) generators: 950.9518, 386.2068, 968.6966
+[[Comma list]]: [[1771561/1769472]]
-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: [{{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
-Mapping generators: ~121/96, ~1331/768, ~5/1, ~7/1
+{{Multival|legend=1|rank=4| 6 0 0 3 -16 }}
-Wedgie: <<<<6 0 0 3 -16]]]]
+[[POTE generator]]s: ~1331/768 = 950.9518, ~5/4 = 386.2068, ~7/4 = 968.6966
-EDOs: 9, 15, 24, 39d, 48, 57, 63, 72, 159, 183, 198, 255, 270, 342, 612, 954, 1566
+{{Val list|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>
+[[Badness]]: 0.588 × 10<sup>-6</sup>
-[[Category:Nexus]]
+[[Category:Regular temperament theory]]
+[[Category:Temperament family]]
+[[Category:Nexus family| ]] <!-- main article -->
+[[Category:Rank 4]]