Jubilismic family

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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

POTE generators: ~3/2 = 702.9804, ~5/4 = 380.8399

Minimax tuning:

[[1 0 0 0, [0 1 0 0, [-1/4 0 1/2 1/2, [1/4 0 1/2 1/2]
Eigenmonzos (unchanged intervals): 2, 3/2, 35/32

Vals4, 8d, 10, 12, 22, 34d, 48

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]]

POTE generators: ~3/2 = 703.4155, ~5/4 = 380.6973

Vals4, 8d, 10e, 12, 22, 34d, 48

Badness: 0.600 × 10-3

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]]

POTE generators: ~3/2 = 693.6257, ~5/4 = 371.2658

Vals10, 12, 22e, 26

Badness: 0.689 × 10-3

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]]

POTE generators: ~3/2 = 713.5853, ~5/4 = 397.6952

Vals8d, 10, 12, 22e

Badness: 0.717 × 10-3

Jamboree

Subgroup: 2.3.5.7.11

Comma list: 50/49, 55/54

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

POTE generators: ~3/2 = 706.6559, ~5/4 = 376.8308

Vals8d, 10, 12e, 14c, 22

Badness: 0.781 × 10-3