Nexus clan: Difference between revisions
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The '''nexus clan''', a.k.a. '''tribilo | The '''nexus clan''', a.k.a. '''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 == | == Tribilo == | ||
Revision as of 18:43, 17 June 2023
The nexus clan, a.k.a. tribilo clan, is a clan 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 [-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 nexus clan.
Subgroup: 2.3.11
Comma list: 1771561/1769472
Sval mapping: [⟨3 0 8], ⟨0 2 1]]
- sval mapping generators: ~121/96, ~1331/768
Optimal tuning (POTE): ~121/96 = 1\3, ~1331/768 = 950.9518 (or ~12/11 = 150.9518)
Optimal ET sequence: 9, 15, 24, 87, 111, 135, 159, 1407, 1566, 1725e, 1884e, 2043e, 2202e, 2361e, 2520e, 2679e
Badness: 2.44 × 10-3
Triblet
Subgroup: 2.3.11.13
Comma list: 352/351, 1771561/1769472
Sval mapping: [⟨3 0 8 23], ⟨0 2 1 -5]]
Optimal tuning (POTE): ~121/96 = 1\3, ~1331/768 = 951.4814
Optimal ET sequence: 9f, 15f, 24, 63, 87, 111, 198, 309f, 507f
Badness: 2.70 × 10-3
Trilobite
Subgroup: 2.3.11.13
Comma list: 85293/85184, 1771561/1769472
Sval mapping: [⟨3 0 8 42], ⟨0 2 1 -13]]
Optimal tuning (POTE): ~121/96 = 1\3, ~1331/768 = 950.7810
Optimal ET sequence: 24, 111f, 135f, 159, 183, 390, 573, 963f, 1536bef
Badness: 1.65 × 10-3