Dimcomp family: Difference between revisions
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The dimcomp family of rank three temperaments tempers out the [[dimcomp comma]], 390625/388962. | The dimcomp family of rank three temperaments tempers out the [[dimcomp comma]], 390625/388962. | ||
=Dimcomp= | == Dimcomp == | ||
Commas: 390625/388962 | Commas: 390625/388962 | ||
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Badness: 0.000783 | Badness: 0.000783 | ||
==11-limit== | === 11-limit === | ||
Commas: 1375/1372, 6250/6237 | Commas: 1375/1372, 6250/6237 | ||
| Line 19: | Line 19: | ||
Badness: 0.000624 | Badness: 0.000624 | ||
==13-limit== | === 13-limit === | ||
Commas: 625/624, 1375/1372, 2080/2079 | Commas: 625/624, 1375/1372, 2080/2079 | ||
| Line 28: | Line 28: | ||
Badness: 0.000820 | Badness: 0.000820 | ||
=Octopod= | == Octopod == | ||
Commas: 540/539, 1375/1372, 4000/3993 | Commas: 540/539, 1375/1372, 4000/3993 | ||
| Line 36: | Line 36: | ||
Badness: 0.001244 | Badness: 0.001244 | ||
[[Category:Theory]] | |||
[[Category:Temperament family]] | |||
[[Category:Dimcomp]] | |||
[[Category:Rank 3]] | |||
Revision as of 12:11, 13 October 2020
The dimcomp family of rank three temperaments tempers out the dimcomp comma, 390625/388962.
Dimcomp
Commas: 390625/388962
Map: [<4 0 0 -1|, <0 1 0 -1|, <0 0 1 2|]
EDOs: 12, 56, 60, 68, 72, 140, 152, 212, 224, 364, 588, 952
Badness: 0.000783
11-limit
Commas: 1375/1372, 6250/6237
Map: [<4 0 0 -1 5|, <0 1 0 -1 -3|, <0 0 1 2 3|]
EDOs: 12, 68, 72, 140, 152, 224, 364, 436, 588
Badness: 0.000624
13-limit
Commas: 625/624, 1375/1372, 2080/2079
Map: [<4 0 0 -1 5 -16|, <0 1 0 -1 -3 -1|, <0 0 1 2 3 4|]
EDOs: 68, 72, 140, 212, 224, 364, 436, 588, 660
Badness: 0.000820
Octopod
Commas: 540/539, 1375/1372, 4000/3993
Map: [<8 1 3 3 16 0|, <0 3 4 5 3 0|, <0 0 0 0 0 1|]
EDOs: 72, 144, 152, 224
Badness: 0.001244