Gravity family: Difference between revisions

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{{Technical data page}}
{{Technical data page}}
The '''gravity family''' tempers out [[graviton]], the 5-limit comma 129140163/128000000 = {{monzo| -13 17 -6 }}. The graviton equals (81/80)<sup>4</sup>/(25/24), so that four 81/80 commas come to a classic chromatic semitone. The generator of gravity temperament is a grave fifth of [[~]][[40/27]], and hence the name. It is part of the [[syntonic&ndash;chromatic equivalence continuum]], whereby (81/80)<sup>''k''</sup> = 25/24.
The '''gravity family''' of [[regular temperament|temperaments]] [[tempering out|tempers out]] the [[graviton]] ({{monzo|legend=1| -13 17 -6 }}, [[ratio]]: 129140163/128000000).  


== Gravity ==
== Gravity ==
{{main|Gravity}}
{{Main| Gravity }}
 
The [[generator]] for the gravity temperament is a grave fifth of [[~]][[40/27]], and hence the name. However, the functional generator is the acute fourth of ~[[27/20]], six of which reach the [[6/1|6th harmonic]]; its [[ploidacot]] is beta-hexacot. It is part of the [[syntonic–chromatic equivalence continuum]] with {{nowrap| ''n'' {{=}} 6 }}, so it equates a [[2187/2048|Pythagorean apotome]] with a stack of six [[81/80|syntonic commas]].


[[Subgroup]]: 2.3.5
[[Subgroup]]: 2.3.5