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| '''The Nexus''' is a collection of temperaments of different ranks, including subgroup temperaments, that all temper out the [[nexus comma]]- the unnoticeable comma with the ratio 1771561/1769472, and a monzo of {{monzo|-16 -3 0 0 6}}. Among the known branches of this collection are Nexus, Binexus, Nexiquart, Nexal and Tribilo, with "Dinexus" and "Trinexus" as proposed names for other branches.
| | #REDIRECT [[The Nexus]] |
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| == Nexus ==
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| The 11-limit parent comma for the Nexus family is the the nexus comma with a ratio of 1771561/1769472 and a monzo of {{monzo|-16 -3 0 0 6}}. This is a rank-4 temperament in which the 5-limit and 7-limit parts are represented by independent generators. | |
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| Period: ~121/96 = 1\3
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| Optimal (POTE) generators: 950.9518, 386.2068, 968.6966
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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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| Wedgie: <<<<6 0 0 3 -16]]]]
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| EDOs: 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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| == Binexus ==
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| This temperament adds the [[schisma]] to the list of tempered out commas on account of the schisma being an unnoticeable comma for adding the 5-limit to the mix. This is a rank-3 temperament.
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| Commas: 1771561/1769472, 32805/32768
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| POTE generators: ⟨400.0000, 950.8701, 3368.5689]
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| Map:
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| Wedgie:
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| EDOs: 24p, 135p, 159, 183, 207, 342, 525, 684, 867
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| Badness:
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| == Nexiquart ==
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| This temperament can be seen as adding the [[quartisma]] to the list of tempered out commas on account of the quartisma being an unnoticeable comma for adding the 7-limit to the mix. This is a rank-3 temperament.
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| Commas: 1771561/1769472, 117440512/117406179
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| POTE generators:
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| Map:
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| Wedgie:
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| EDOs:
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| Badness:
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| == Nexal ==
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| {{main| Nexal family }}
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| Nexal is the full 11-limit Rank-2 temperament that tempers out the nexus comma.
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| Commas: 1771561/1769472
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| POTE generators:
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| Map:
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| Wedgie:
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| EDOs:
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| Badness:
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| == Tribilo ==
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| {{main| Tribilo family }}
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| Tribilo is the pure Rank-2 2.3.11 temperament that tempers out the nexus comma- it's name comes from the nexus comma being referred to as the "tribilo comma" in [[color notation]].
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| Commas: 1771561/1769472
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| POTE generators:
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| Map:
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| Wedgie:
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| EDOs:
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| Badness:
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| [[Category:Nexus]]
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| {{todo|improve readability|discuss title|expand}}
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