Ditonmic family: Difference between revisions

+description
De-canonicalize septimal ditonic. Note where the true ditone is
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The '''ditonmic family''' of [[regular temperament|temperaments]] [[tempering out|tempers out]] the [[ditonma]], 1220703125/1207959552 = {{monzo| -27 -2 13 }}.
The '''ditonmic family''' of [[regular temperament|temperaments]] [[tempering out|tempers out]] the [[ditonma]] ([[ratio]]: 1220703125/1207959552, {{monzo|legend=1| -27 -2 13 }}).


== Ditonic ==
== Ditonic ==
Named by [[Petr Pařízek]] in 2011<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_101780.html Yahoo! Tuning Group | ''Suggested names for the unclasified temperaments'']</ref>, ditonic can be described as the 50 & 53 temperament. It splits [[~]][[8/5]] in two for a generator, which happens to be an interval very close to the [[ditone]].  
Named by [[Petr Pařízek]] in 2011<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_101780.html Yahoo! Tuning Group | ''Suggested names for the unclasified temperaments'']</ref>, ditonic can be described as the 50 & 53 temperament. It splits [[~]][[8/5]] in two for a generator, which happens to be an interval very close in size to the [[ditone]], ~81/64. Note that the ditone itself is 52 generator steps away.  


[[Subgroup]]: 2.3.5
[[Subgroup]]: 2.3.5
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[[Badness]]: 0.167086
[[Badness]]: 0.167086


== Septimal ditonic ==
== Diton ==
This extension is known as ''ditonic'' in [[Graham Breed]]'s temperament finder.
 
[[Subgroup]]: 2.3.5.7
[[Subgroup]]: 2.3.5.7