Quintile family: Difference between revisions

+naming history of pental
+a short intro on the structure of this temp
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== Pental ==
== Pental ==
This temperament was first introduced by [[Mike Battaglia]] in 2011 along with other temperaments in the [[syntonic-diatonic equivalence continuum]]<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_99315.html#99323 Yahoo! Tuning Group | ''Some new 5-limit microtemperaments'']</ref>. It did not get named until 2012 by [[Petr Pařízek]]<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_104270.html Yahoo! Tuning Group | ''2D temperaments, part II -- new 5-limit temperaments'']</ref>.  
The 5-limit version of pental reaches the interval class of 5 by 5 perfect fifths (i.e. a major seventh) plus two periods of 1/5-octave. This temperament was first introduced by [[Mike Battaglia]] in 2011 along with other temperaments in the [[syntonic-diatonic equivalence continuum]]<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_99315.html#99323 Yahoo! Tuning Group | ''Some new 5-limit microtemperaments'']</ref>. It did not get named until 2012 by [[Petr Pařízek]]<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_104270.html Yahoo! Tuning Group | ''2D temperaments, part II -- new 5-limit temperaments'']</ref>.  


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