Nexus clan: Difference between revisions

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The '''tribilo ~~family~~''' is a ~~family~~ of rank-2 ~~temperaments~~ in the 2.3.11 subgroup that temper 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-2 ~~family~~ currently have yet to be explored. For other ~~families~~ that are defined by the tempering of the nexus comma, see [[the Nexus]]. ~~This family~~'~~s name~~ comes from the nexus comma being referred to as the "tribilo comma" in [[color notation]].

The '''nexus clan''', also known as the '''tribilo clan''', is a [[Temperament families and clans|clan]] of [[rank-2 temperament]]s in the 2.3.11 [[subgroup]] that temper 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-2 clan currently have yet to be explored. For other temperaments that are defined by the tempering of the nexus comma, see [[the Nexus]]. The name ''tribilo clan'' comes from the nexus comma being referred to as the "tribilo comma" in [[color notation]].

== Tribilo ==

This is the parent temperament of the ~~tribilo family~~.

This is the parent temperament of the nexus clan.

Subgroup: 2.3.11

[[Subgroup]]: 2.3.11

[[Comma list]]: 1771561/1769472

~~[[Sval]] [[mapping]]: [~~{{~~val~~| 3 0 8~~}}, {{val~~| 0 2 1}}]

~~Sval~~ mapping generators: ~121/96, ~1331/768

: sval mapping generators: ~121/96, ~1331/768

[[POTE ~~generator~~]]: ~1331/768 = 950.9518 or ~12/11 = 150.9518

[[Optimal tuning]] ([[POTE]]): ~121/96 = 1\3, ~1331/768 = 950.9518 (or ~12/11 = 150.9518)

{{~~Val list~~|legend=1| 9, 15, 24, 87, 111, 135, 159, 1407, 1566, 1725e, 1884e, 2043e, 2202e, 2361e, 2520e, 2679e }}

{{Optimal ET sequence|legend=1| 9, 15, 24, 87, 111, 135, 159, 1407, 1566, 1725e, 1884e, 2043e, 2202e, 2361e, 2520e, 2679e }}

Badness:

[[Badness]]: 2.44 × 10-3

=== Triblet ===

== Triblet ==

[[Subgroup]]: 2.3.11.13

Comma list: 1771561/1769472~~, 352/351~~

[[Comma list]]: 352/351, 1771561/1769472

Mapping:

~~Wedgie~~:

[[Optimal tuning]] ([[POTE]]): ~121/96 = 1\3, ~1331/768 = 951.4814

~~POTE generator:~~

{{Optimal ET sequence|legend=1| 9f, 15f, 24, 63, 87, 111, 198, 309f, 507f }}

~~Vals~~:

[[Badness]]: 2.70 × 10-3

~~Badness~~:

== Trilobite ==

[[Subgroup]]: 2.3.11.13

~~=== Trilobite ===~~

[[Comma list]]: 85293/85184, 1771561/1769472

~~Comma list: 1771561/1769472, 85293/85184~~

~~Mapping~~:

[[Optimal tuning]] ([[POTE]]): ~121/96 = 1\3, ~1331/768 = 950.7810

~~Wedgie:~~

{{Optimal ET sequence|legend=1| 24, 111f, 135f, 159, 183, 390, 573, 963f, 1536bef }}

~~POTE generator~~:

[[Badness]]: 1.65 × 10-3

~~Vals~~:

[[Category:Temperament clans]]

[[Category:Pages with mostly numerical content]]

~~Badness~~:

[[Category:Nexus clan| ]]

[[Category:Rank 2]]

@@ Line 1: / Line 1: @@
-The '''tribilo family''' is a family of rank-2 temperaments in the 2.3.11 subgroup that temper 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-2 family currently have yet to be explored. For other families that are defined by the tempering of the nexus comma, see [[the Nexus]].  This family's name comes from the nexus comma being referred to as the "tribilo comma" in [[color notation]].
+{{Technical data page}}
+The '''nexus clan''', also known as the '''tribilo clan''', is a [[Temperament families and clans|clan]] of [[rank-2 temperament]]s in the 2.3.11 [[subgroup]] that temper 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-2 clan currently have yet to be explored. For other temperaments that are defined by the tempering of the nexus comma, see [[the Nexus]]. The name ''tribilo clan'' comes from the nexus comma being referred to as the "tribilo comma" in [[color notation]].
 == Tribilo ==
-This is the parent temperament of the tribilo family.
+This is the parent temperament of the nexus clan.
-Subgroup: 2.3.11
+[[Subgroup]]: 2.3.11
 [[Comma list]]: 1771561/1769472
-[[Sval]] [[mapping]]: [{{val| 3 0 8}}, {{val| 0 2 1}}]
+{{Mapping|legend=2| 3 0 8 | 0 2 1 }}
-Sval mapping generators: ~121/96, ~1331/768
+: sval mapping generators: ~121/96, ~1331/768
-[[POTE generator]]: ~1331/768 = 950.9518 or ~12/11 = 150.9518
+[[Optimal tuning]] ([[POTE]]): ~121/96 = 1\3, ~1331/768 = 950.9518 (or ~12/11 = 150.9518)
-{{Val list|legend=1| 9, 15, 24, 87, 111, 135, 159, 1407, 1566, 1725e, 1884e, 2043e, 2202e, 2361e, 2520e, 2679e }}
+{{Optimal ET sequence|legend=1| 9, 15, 24, 87, 111, 135, 159, 1407, 1566, 1725e, 1884e, 2043e, 2202e, 2361e, 2520e, 2679e }}
-Badness:
+[[Badness]]: 2.44 × 10<sup>-3</sup>
-=== Triblet ===
+== Triblet ==
+[[Subgroup]]: 2.3.11.13
-Comma list: 1771561/1769472, 352/351
+[[Comma list]]: 352/351, 1771561/1769472
-Mapping:
+{{Mapping|legend=2| 3 0 8 23 | 0 2 1 -5 }}
-Wedgie:
+[[Optimal tuning]] ([[POTE]]): ~121/96 = 1\3, ~1331/768 = 951.4814
-POTE generator:
+{{Optimal ET sequence|legend=1| 9f, 15f, 24, 63, 87, 111, 198, 309f, 507f }}
-Vals:
+[[Badness]]: 2.70 × 10<sup>-3</sup>
-Badness:
+== Trilobite ==
+[[Subgroup]]: 2.3.11.13
-=== Trilobite ===
+[[Comma list]]: 85293/85184, 1771561/1769472
-Comma list: 1771561/1769472, 85293/85184
+{{Mapping|legend=2| 3 0 8 42 | 0 2 1 -13 }}
-Mapping:
+[[Optimal tuning]] ([[POTE]]): ~121/96 = 1\3, ~1331/768 = 950.7810
-Wedgie:
+{{Optimal ET sequence|legend=1| 24, 111f, 135f, 159, 183, 390, 573, 963f, 1536bef }}
-POTE generator:
+[[Badness]]: 1.65 × 10<sup>-3</sup>
-Vals:
+[[Category:Temperament clans]]
+[[Category:Pages with mostly numerical content]]
-Badness:
+[[Category:Nexus clan| ]] <!-- main article -->
+[[Category:Rank 2]]