# Jubilismic family

(Redirected from Festival)

The jubilismic family contains temperaments that temper out the jubilisma (50/49) (also called tritonic diesis, or septimal sixth-tone). It therefore identifies the two septimal tritones 7/5 and 10/7, an identification familiar from 12edo. While most rank-three temperaments are planar, a jubilismic temperament divides the octave in two.

## Jubilismic

Subgroup: 2.3.5.7

Comma list: 50/49

Mapping[2 0 0 1], 0 1 0 0], 0 0 1 1]]

mapping generators: ~7/5, ~3, ~5

Optimal tuning (POTE): ~7/5 = 1\2, ~3/2 = 702.9804, ~5/4 = 380.8399

[[1 0 0 0, [0 1 0 0, [-1/4 0 1/2 1/2, [1/4 0 1/2 1/2]
eigenmonzo (unchanged-interval) basis: 2.3.35

Scales: jubilismic10, jubilismic12

## Jubilee

Subgroup: 2.3.5.7.11

Comma list: 50/49, 99/98

Mapping[2 0 0 1 4], 0 1 0 0 -2], 0 0 1 1 2]]

Optimal tuning (POTE): ~7/5 = 1\2, ~3/2 = 703.4155, ~5/4 = 380.6973

## Festival

Subgroup: 2.3.5.7.11

Comma list: 45/44, 50/49

Mapping[2 0 0 1 -4], 0 1 0 0 2], 0 0 1 1 1]]

Optimal tuning (POTE): ~7/5 = 1\2, ~3/2 = 693.6257, ~5/4 = 371.2658

## Fiesta

Subgroup: 2.3.5.7.11

Comma list: 50/49, 56/55

Mapping[2 0 0 1 7], 0 1 0 0 0], 0 0 1 1 0]]

Optimal tuning (POTE): ~7/5 = 1\2, ~3/2 = 713.5853, ~5/4 = 397.6952