# Nexus clan

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}