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| {{Technical data page}}
| | #redirect [[Catalog of rank-4 temperaments #Nexus (1771561/1769472)]] |
| 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]].
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| == Nexus ==
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| This is the parent temperament of the nexus family. In this temperament, the 5-limit and 7-limit parts are represented by independent generators.
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| Subgroup: 2.3.5.7.11
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| [[Comma list]]: [[1771561/1769472]]
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| [[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}}]
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| Mapping generators: ~121/96, ~1331/768, ~5/1, ~7/1
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| [[POTE generator]]s: ~1331/768 = 950.9518, ~5/4 = 386.2068, ~7/4 = 968.6966
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| {{Optimal ET sequence|legend=1| 9, 15, 24, 39d, 48, 57, 63, 72, 159, 183, 198, 255, 270, 342, 612, 954, 1566 }}
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| [[Badness]]: 0.588 × 10<sup>-6</sup>
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| === 13-limit ===
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| {{todo|review|inline=yes|comment=Add optimal ET sequence & badness}}
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| Subgroup: 2.3.5.7.11.13
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| [[Comma list]]: [[1771561/1769472]], [[676/675]]
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| [[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]⟩
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| Mapping generators: ⟨1200.000, 1902.167, 2786.583, 3368.823, 4151.084, 4439.834]
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| [[POTE generator]]s: ⟨400.0000, 951.0837, 2786.5829, 3368.8230]
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| {{Optimal ET sequence|legend=1| }}
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| [[Badness]]:
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| [[Category:Temperament families]]
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| [[Category:Nexus family| ]] <!-- main article -->
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| [[Category:Rank 4]]
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| [[Category:Todo:complete temperament data]]
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