Jubilismic family: Difference between revisions
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The '''jubilismic family''' contains temperaments that temper out the [[jubilisma|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. | |||
[[ | [[Comma]]: 50/49 | ||
7 and 9 limit minimax tuning | 7 and 9 limit minimax tuning | ||
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Badness: 0.000781 | Badness: 0.000781 | ||
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[[Category: | [[Category:Theory]] | ||
[[Category: | [[Category:Family]] | ||
[[Category:Jubilismic]] | |||
[[Category:Todo:cleanup]] | |||
Revision as of 08:58, 8 October 2020
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.
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
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