Dimcomp family: Difference between revisions
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== Dimcomp == | == Dimcomp == | ||
Commas: 390625/388962 | |||
Commas: [[390625/388962]] | |||
Map: [<4 0 0 -1|, <0 1 0 -1|, <0 0 1 2|] | 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 | EDOs: {{EDOs| 12, 56, 60, 68, 72, 140, 152, 212, 224, 364, 588, 952 }} | ||
Badness: 0.000783 | Badness: 0.000783 | ||
=== 11-limit === | === 11-limit === | ||
Commas: 1375/1372, 6250/6237 | Commas: 1375/1372, 6250/6237 | ||
Map: [<4 0 0 -1 5|, <0 1 0 -1 -3|, <0 0 1 2 3|] | 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 | EDOs: {{EDOs| 12, 68, 72, 140, 152, 224, 364, 436, 588 }} | ||
Badness: 0.000624 | Badness: 0.000624 | ||
=== 13-limit === | === 13-limit === | ||
Commas: 625/624, 1375/1372, 2080/2079 | 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|] | 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 | EDOs: {{EDOs| 68, 72, 140, 212, 224, 364, 436, 588, 660 }} | ||
Badness: 0.000820 | Badness: 0.000820 | ||
== Octopod == | == Octopod == | ||
Commas: 540/539, 1375/1372, 4000/3993 | 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|] | Map: [<8 1 3 3 16 0|, <0 3 4 5 3 0|, <0 0 0 0 0 1|] | ||
EDOs: 72, 144, 152, 224 | EDOs: {{EDOs| 72, 144, 152, 224 }} | ||
Badness: 0.001244 | Badness: 0.001244 | ||
Revision as of 20:03, 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|]
Badness: 0.001244