Nexus clan: Difference between revisions

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]].

This is the parent temperament of the tribilo family.

Subgroup: 2.3.11

[[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)

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

=== Triblet ===

Subgroup: 2.3.11.13

Comma list: 352/351, 1771561/1769472

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

POTE generator: ~1331/768 = 951.4814

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

Badness: 2.70 × 10^-3

=== Trilobite ===

Subgroup: 2.3.11.13

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

POTE generator: ~1331/768 = 950.7810

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

Badness: 1.65 × 10^-3

 

[[Category:Temperament families]]