Kalismic temperaments: Difference between revisions
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These are rank three temperaments tempering out 9801/9800, but we can | These are rank three temperaments tempering out [[9801/9800]], but we can begin by looking at the rank four temperament. | ||
Comma: 9801/9800 | Comma: 9801/9800 | ||
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EDOs: 4, 12, 22, 46, 58, 72, 118, 130, 152, 270, 342, 512, 836, 1084, 1236, 1406, 1578, 1848, 2684, 4038, 4190, 4532, 11254 | EDOs: 4, 12, 22, 46, 58, 72, 118, 130, 152, 270, 342, 512, 836, 1084, 1236, 1406, 1578, 1848, 2684, 4038, 4190, 4532, 11254 | ||
=Odin= | = Odin = | ||
{{see also| Landscape family }} | |||
Commas: 9801/9800, 151263/151250 | Commas: 9801/9800, 151263/151250 | ||
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Badness: 0.000116 | Badness: 0.000116 | ||
=Loki= | = Loki = | ||
Commas: 5632/5625, 9801/9800 | Commas: 5632/5625, 9801/9800 | ||
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Badness: 0.000493 | Badness: 0.000493 | ||
=Van Gogh= | = Van Gogh = | ||
Commas: 9801/9800, 199297406/199290375 | Commas: 9801/9800, 199297406/199290375 | ||
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Badness: 0.000297 | Badness: 0.000297 | ||
[[Category:Theory]] | |||
[[Category:Temperament]] | |||
[[Category:Kalismic]] | |||
[[Category:Rank 3]] | |||
Revision as of 06:07, 12 January 2021
These are rank three temperaments tempering out 9801/9800, but we can begin by looking at the rank four temperament.
Comma: 9801/9800
Map: [<2 0 0 0 3|, <0 1 0 0 -2|, <0 0 1 0 1|, <0 0 0 1 1|]
Generators: 99/70, 3, 5, 7
EDOs: 4, 12, 22, 46, 58, 72, 118, 130, 152, 270, 342, 512, 836, 1084, 1236, 1406, 1578, 1848, 2684, 4038, 4190, 4532, 11254
Odin
Commas: 9801/9800, 151263/151250
Map: [<6 0 0 8 17|, <0 1 0 -2 -4|, <0 0 1 2 3|]
Generators: 55/49, 3, 5
EDOs: 12, 42, 72, 198, 270, 342, 612, 954, 1236, 1506, 1578, 1848, 3426, 4038, 5616, 7464
Badness: 0.000116
Loki
Commas: 5632/5625, 9801/9800
Map: [<2 0 0 -21 -18|, <0 1 0 4 2|, <0 0 1 3 4|]
Generators: 99/70, 3, 5
EDOs: 12, 22, 86, 108, 118, 130, 248, 270, 670, 822, 940, 1092
Badness: 0.000493
Van Gogh
Commas: 9801/9800, 199297406/199290375
Map: [<2, 0, 8, 0, 11|, <0, 1, 1, 2, 1|, <0, 0, -9, -1, -10|]
Generators: 99/70, 3, 9/7
EDOs: 22, 58, 80, 284, 320, 342, 742, 764, 1084, 1106, 1448, 1506, 1848, 4038, 4802, 5144, 6992
Badness: 0.000297