Nexus clan

This is a list showing technical temperament data. For an explanation of what information is shown here, you may look at the technical data guide for regular temperaments.

The nexus clan, also known as the 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