Nexus family

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The nexus family is built up from temperaments that temper out the nexuma- the unnoticeable comma with the ratio 1771561/1769472, and a monzo of [-16 -3 0 0 6. Among the members of this family are Nexus, Binexus, Dinexus and Trinexus. The different branches of the Nexus family are named on the basis of how many unnoticeable commas between different pure p-limits they temper out within the full 11-limit.

Nexus

The 11-limit parent comma for the Nexus family is the the nexuma with a ratio of 1771561/1769472 and a monzo of [-16 -3 0 0 6. This is a rank-4 temperament.

Comma: 1771561/1769472

POTE generators:

Map:

Wedgie:

EDOs: 63, 72, 87, 270

Badness:

Binexus

This temperament adds the schisma to the list of tempered out commas on account of the schisma being the unnoticeable comma adding the 5-limit to the mix.

Commas: 1771561/1769472, 32805/32768

POTE generators:

Map:

Wedgie:

EDOs:

Badness:

Dinexus

This temperament differs from Binexus temperament in that it adds the hemigail comma on account of the hemigail being the unnoticeable comma adding the 7-limit to the mix

Commas: 1771561/1769472, 43923/43904

POTE generators:

Map:

Wedgie:

EDOs:

Badness:

Trinexus

This temperament adds both the schisma and the hemigail comma to the standard nexus temperament.

Commas: 1771561/1769472, 32805/32768, 43923/43904

POTE generators:

Map:

Wedgie:

EDOs:

Badness: