Jubilismic family

Jubilismic temperament tempers out the interval 50/49, variously called the tritonic diesis, jubilisma 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, jubilismic temperament divides the octave in two.

Comma: 50/49

7 and 9 limit 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: 2, 3/2, 35/32

Map: [<2 0 0 1|, <0 1 0 0|, <0 0 1 1|]

Generators: 7/5, 3, 5

Edos: 10, 12, 22, 26, 38, 48

Scales: jubilismic10

Jubilee

Commas: 50/49, 99/98

Map: [<2 0 0 1 4|, <0 1 0 0 -2|, <0 0 1 1 2|]

EDOS: 12, 22, 48

Badness: 0.000600

Festival

Commas: 50/49, 45/44

Map: [<2 0 0 1 -4|, <0 1 0 0 2|, <0 0 1 1 1|]

EDOs: 10, 12, 26

Badness: 0.000689

Fiesta

Commas: 50/49, 56/55

Map: [<2 0 0 1 7|, <0 1 0 0 0|, <0 0 1 1 0|]

EDOs: 10, 12

Badness: 0.000717

Jamboree

Commas: 50/49, 55/54

Map: [<2 0 0 1 2|, <0 1 0 0 3|, <0 0 1 1 -1|]

EDOs: 10, 22

Badness: 0.000781