Diminished family: Difference between revisions
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The '''dimipent family''' tempers out the major diesis aka diminished comma, [[648/625]], the amount by which four [[6/5]] minor thirds exceed an [[octave]], and so identifies the minor third with the quarter-octave. Hence it has the same 300-cent 6/5-approximations as 12edo. | The '''dimipent family''' tempers out the major diesis aka diminished comma, [[648/625]], the amount by which four [[6/5]] minor thirds exceed an [[octave]], and so identifies the minor third with the quarter-octave. Hence it has the same 300-cent 6/5-approximations as 12edo. | ||
=Dimipent= | == Dimipent == | ||
Subgroup: 2.3.5 | Subgroup: 2.3.5 | ||
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[[Badness]]: 0.047231 | [[Badness]]: 0.047231 | ||
=Diminished= | == Diminished == | ||
{{see also|Jubilismic clan #Diminished}} | {{see also|Jubilismic clan #Diminished}} | ||
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[[Badness]]: 0.022401 | [[Badness]]: 0.022401 | ||
=Hemidim= | == Hemidim == | ||
Subgroup: 2.3.5.7 | Subgroup: 2.3.5.7 | ||
| Line 47: | Line 47: | ||
[[Badness]]: 0.0864 | [[Badness]]: 0.0864 | ||
==11-limit== | === 11-limit === | ||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
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Badness: 0.0566 | Badness: 0.0566 | ||
==13-limit== | === 13-limit === | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
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Badness: 0.039 | Badness: 0.039 | ||
=Semidim= | == Semidim == | ||
Subgroup: 2.3.5.7 | Subgroup: 2.3.5.7 | ||
| Line 88: | Line 88: | ||
[[Badness]]: 0.1075 | [[Badness]]: 0.1075 | ||
==11-limit== | === 11-limit === | ||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
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Badness: 0.0476 | Badness: 0.0476 | ||
==13-limit== | === 13-limit === | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||