The Nexus: Difference between revisions

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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.

= Rank-4 temperament =

The parent temperament of this whole collection is rank-4 temperament.

== Nexus ==

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.

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}}. In this temperament, the 5-limit and 7-limit parts are represented by independent generators.

Period: ~121/96 = 1\3

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Badness: 0.588×10<sup>-6</sup>

= Rank-3 temperaments =

From the Rank-4 parent temperament, there are several rank three temperaments that can be derived.

== Binexus ==

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~~.

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.

Commas: 1771561/1769472, 32805/32768

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== Nexiquart ==

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~~.

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.

Commas: 1771561/1769472, 117440512/117406179

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= Rank-2 temperaments =

So far, the only rank-2 temperaments in the Nexus are the Nexal family and the Tribilo family, with the parent temperaments of each being listed here.

== Nexal ==

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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.
+= Rank-4 temperament =
+The parent temperament of this whole collection is rank-4 temperament.
 == Nexus ==
-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.
+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}}.  In this temperament, the 5-limit and 7-limit parts are represented by independent generators.
 Period: ~121/96 = 1\3
@@ Line 19: / Line 22: @@
 Badness: 0.588×10<sup>-6</sup>
+= Rank-3 temperaments =
+From the Rank-4 parent temperament, there are several rank three temperaments that can be derived.
 == Binexus ==
-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.
+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.
 Commas: 1771561/1769472, 32805/32768
@@ Line 36: / Line 42: @@
 == Nexiquart ==
-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.
+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.
 Commas: 1771561/1769472, 117440512/117406179
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 Badness:
+= Rank-2 temperaments =
+So far, the only rank-2 temperaments in the Nexus are the Nexal family and the Tribilo family, with the parent temperaments of each being listed here.
 == Nexal ==