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 '''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]].

== Tribilo ==

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[[Comma list]]: 1771561/1769472

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

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

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

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

[[POTE generator]]: ~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 }}

Badness:

[[Badness]]: 2.44 × 10-3

=== Triblet ===

Subgroup: 2.3.11.13

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

Comma list: 352/351, 1771561/1769472

~~Mapping~~:

Sval mapping: [{{val| 3 0 8 23 }}, {{val| 0 2 1 -5 }}]

~~Wedgie~~:

POTE generator: ~1331/768 = 951.4814

~~POTE generator~~:

Optimal GPV sequence: {{Val list| 9f, 15f, 24, 63, 87, 111, 198, 309f, 507f }}

~~Vals:~~

Badness: 2.70 × 10-3

Badness:

=== Trilobite ===

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Subgroup: 2.3.11.13

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

Comma list: 85293/85184, 1771561/1769472

~~Mapping:~~

~~Wedgie~~:

Sval mapping: [{{val| 3 0 8 42 }}, {{val| 0 2 1 -13 }}]

POTE generator:

POTE generator: ~1331/768 = 950.7810

~~Vals~~:

Optimal GPV sequence: {{Val list| 24, 111f, 135f, 159, 183, 390, 573, 963f, 1536bef }}

Badness:

Badness: 1.65 × 10-3

@@ 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]].
+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]].
 == Tribilo ==
@@ Line 8: / Line 8: @@
 [[Comma list]]: 1771561/1769472
-[[Sval]] [[mapping]]: [{{val| 3 0 8}}, {{val| 0 2 1}}]
+[[Sval]] [[mapping]]: [{{val| 3 0 8 }}, {{val| 0 2 1 }}]
 Sval mapping generators: ~121/96, ~1331/768
-[[POTE generator]]: ~1331/768 = 950.9518 or ~12/11 = 150.9518
+[[POTE generator]]: ~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 }}
-Badness:
+[[Badness]]: 2.44 × 10<sup>-3</sup>
 === Triblet ===
 Subgroup: 2.3.11.13
-Comma list: 1771561/1769472, 352/351
+Comma list: 352/351, 1771561/1769472
-Mapping:
+Sval mapping: [{{val| 3 0 8 23 }}, {{val| 0 2 1 -5 }}]
-Wedgie:
+POTE generator: ~1331/768 = 951.4814
-POTE generator:
+Optimal GPV sequence: {{Val list| 9f, 15f, 24, 63, 87, 111, 198, 309f, 507f }}
-Vals:
+Badness: 2.70 × 10<sup>-3</sup>
-Badness:
 === Trilobite ===
@@ Line 38: / Line 35: @@
 Subgroup: 2.3.11.13
-Comma list: 1771561/1769472, 85293/85184
+Comma list: 85293/85184, 1771561/1769472
-Mapping:
-Wedgie:
+Sval mapping: [{{val| 3 0 8 42 }}, {{val| 0 2 1 -13 }}]
-POTE generator:
+POTE generator: ~1331/768 = 950.7810
-Vals:
+Optimal GPV sequence: {{Val list| 24, 111f, 135f, 159, 183, 390, 573, 963f, 1536bef }}
-Badness:
+Badness: 1.65 × 10<sup>-3</sup>