Diminished family: Difference between revisions

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The '''~~dimipent~~ family''' tempers out the major diesis a.k.a. 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 '''diminished family''' of [[regular temperament|temperaments]] [[tempering out|tempers out]] the major diesis a.k.a. 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~~ ==

== Diminished ==

The [[generator]] of ~~dimipent~~ can be taken as a fifth or a semitone, and 12edo, with its excellent fifth, is an obvious tuning, though a flatter fifth might be preferred to go with the flat minor third. Its [[ploidacot]] is tetraploid monocot.

The [[generator]] of diminished can be taken as a fifth or a semitone, and 12edo, with its excellent fifth, is an obvious tuning, though a flatter fifth might be preferred to go with the flat minor third. Its [[ploidacot]] is tetraploid monocot.

[[Subgroup]]: 2.3.5

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[[Badness]] (Sintel): 1.11

== ~~Diminished~~ ==

== Septimal diminished ==

~~<div style="float: right">[[:de:Verminderte Temperaturen|Deutsch]]</div>~~

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[[Category:Temperament families]]

[[Category:Pages with mostly numerical content]]

[[Category:~~Dimipent~~ family| ]]

[[Category:Diminished family| ]]

[[Category:Diminished| ]]

[[Category:Rank 2]]

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 {{Technical data page}}
-The '''dimipent family''' tempers out the major diesis a.k.a. 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 '''diminished family''' of [[regular temperament|temperaments]] [[tempering out|tempers out]] the major diesis a.k.a. 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 ==
+== Diminished ==
 {{Main| Diminished (temperament) }}
-The [[generator]] of dimipent can be taken as a fifth or a semitone, and 12edo, with its excellent fifth, is an obvious tuning, though a flatter fifth might be preferred to go with the flat minor third. Its [[ploidacot]] is tetraploid monocot.
+The [[generator]] of diminished can be taken as a fifth or a semitone, and 12edo, with its excellent fifth, is an obvious tuning, though a flatter fifth might be preferred to go with the flat minor third. Its [[ploidacot]] is tetraploid monocot.
 [[Subgroup]]: 2.3.5
@@ Line 23: / Line 23: @@
 [[Badness]] (Sintel): 1.11
-== Diminished ==
+== Septimal diminished ==
-<div style="float: right">[[:de:Verminderte Temperaturen|Deutsch]]</div>
 {{Main| Diminished (temperament) }}
@@ Line 229: / Line 227: @@
 [[Category:Temperament families]]
 [[Category:Pages with mostly numerical content]]
-[[Category:Dimipent family| ]] <!-- main article -->
+[[Category:Diminished family| ]] <!-- main article -->
 [[Category:Diminished| ]] <!-- key article -->
 [[Category:Rank 2]]