Jubilismic family

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

Comma list: 50/49

Minimax tuning:

• 7- and 9-odd-limit

[[1 0 0 0⟩, [0 1 0 0⟩, [-1/4 0 1/2 1/2⟩, [1/4 0 1/2 1/2⟩]

Eigenmonzos: 2, 3/2, 35/32

Mapping: [⟨2 0 0 1], ⟨0 1 0 0], ⟨0 0 1 1]]

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

Scales: jubilismic10, jubilismic12

Jubilee

Comma list: 50/49, 99/98

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

Badness: 0.600 × 10^-3

Festival

Comma list: 50/49, 45/44

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

Badness: 0.689 × 10^-3

Fiesta

Comma list: 50/49, 56/55

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

Badness: 0.717 × 10^-3

Jamboree

Comma list: 50/49, 55/54

Mapping: [⟨2 0 0 1 2], ⟨0 1 0 0 3], ⟨0 0 1 1 -1]]

Badness: 0.781 × 10^-3