Catalog of rank-4 temperaments: Difference between revisions
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==441/440== | ==Werckismic (441/440)== | ||
Map: [<1 0 0 0 -3|, <0 1 0 0 2|, <0 0 1 0 -1|, <0 0 0 1 2|] | Map: [<1 0 0 0 -3|, <0 1 0 0 2|, <0 0 1 0 -1|, <0 0 0 1 2|] | ||
| Line 44: | Line 44: | ||
EDOs: 26, 31, 46, 58, 72, 103, 130 | EDOs: 26, 31, 46, 58, 72, 103, 130 | ||
===Commas | ===Commas 196/195, 352/351=== | ||
Map: [<1 0 0 0 -3 2|, <0 1 0 0 2 -1|, <0 0 1 0 -1 -1|, <0 0 0 1 2 2|] | Map: [<1 0 0 0 -3 2|, <0 1 0 0 2 -1|, <0 0 1 0 -1 -1|, <0 0 0 1 2 2|] | ||
| Line 51: | Line 51: | ||
EDOs: 29, 31, 41, 46, 58, 77, 87 | EDOs: 29, 31, 41, 46, 58, 77, 87 | ||
==385/384== | ==Keenanismic (385/384)== | ||
Map: [<1 0 0 0 7|, <0 1 0 0 1|, <0 0 1 0 -1|, <0 0 0 1 -1|] | |||
Generators: 2, 3, 5, 7 | |||
EDOs: 15, 22, 31, 41, 46, 53, 72, 87, 94, 118 | |||
===Commas 385/384, 325/324=== | ===Commas 385/384, 325/324=== | ||
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Lattice basis: 4/3 1.0820 6/5 1.3935 10/9 1.6247 | Lattice basis: 4/3 1.0820 6/5 1.3935 10/9 1.6247 | ||
Map: [<1 0 0 0 7 2|, <0 1 0 0 1 4|, | Map: [<1 0 0 0 7 2|, <0 1 0 0 1 4|, <0 0 1 0 -1 -2|, <0 0 0 1 -1 0|] | ||
<0 0 1 0 | Generators: 2, 3, 5, 7 | ||
EDOs: 7, 8, 15, 19, 26, 34, 41, 46, 53, 68, 72, 79, 87, 94, 99, 113, 140, 159, 212, 253 | |||
==Swetismic (540/539)== | |||
Map: [<1 0 0 0 2|, <0 1 0 0 3|, <0 0 1 0 1|, <0 0 0 1 -2|] | |||
Generators: 2, 3, 5, 7 | Generators: 2, 3, 5, 7 | ||
EDOs: 22, 31, 41, 53, 58, 72, 80, 130, 152 | |||
==9801/9800== | ==Lehmerismic (3025/3024)== | ||
Map: [<1 0 0 0 2|, <0 1 0 1 2|, <0 0 1 0 -1|, <0 0 0 2 1|] | |||
Generators: 2, 3, 5, 55/36 | |||
EDOs: 31, 72, 118, 152, 224, 270, 311, 342, 494, 612 | |||
==Kalismic (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: 270, 342, 494, 612, 764, 836, 1106, 1236, 1578, 1848 | |||
===Commas 2080/2079, 1716/1715=== | ===Commas 2080/2079, 1716/1715=== | ||
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Lattice basis: 3/2 length 1.1956 7/4 length 1.4506 14/13 1.8299 | Lattice basis: 3/2 length 1.1956 7/4 length 1.4506 14/13 1.8299 | ||
Map: [<2 0 0 0 3 -7|, <0 1 0 0 -2 1|, | Map: [<2 0 0 0 3 -7|, <0 1 0 0 -2 1|, <0 0 1 0 1 0|, <0 0 0 1 1 2|] | ||
<0 0 1 0 1 0|, <0 0 0 1 1 2|] | |||
Generators: 99/70, 3, 5, 7 | Generators: 99/70, 3, 5, 7 | ||
EDOs: 26, 36, 46, 58, 68, 72, 84, 94, 130, 140, 166, 198, 224, 270, 494, 764, 1186, 1892 | |||
[[Category:rank]] | [[Category:rank]] | ||
[[Category: | [[Category:rank-four]] | ||
[[Category:temperament]] | [[Category:temperament]] | ||
[[Category:theory]] | [[Category:theory]] | ||
[[category:todo:expand]] | [[category:todo:expand]] | ||