Octagar family: Difference between revisions

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{{Technical data page}}
{{Technical data page}}
The '''octagar family''' of [[temperament]]s are [[rank-3 temperament]]s [[tempering out]] the octagar comma, [[4000/3969]]. While most 7-limit planar temperaments exhibit a tendency towards tuning flat, many people seem to prefer a slight sharp tendency instead. Octagar provides this; for instance the 7-odd-limit minimax tuning has fifths and 7's 2.245 cents sharp, with just major thirds.
The '''octagar family''' of [[rank-3 temperament|rank-3]] [[regular temperament|temperaments]] [[tempering out|tempers out]] the octagar comma, [[4000/3969]]. While many 7-limit rank-3 temperaments exhibit a tendency towards tuning flat, a slight sharp tendency is often preferred instead. Octagar provides this; for instance the [[7-odd-limit]] [[minimax tuning]] has [[3/1|3]]'s and [[7/1|7]]'s 2.245 cents sharp, with just [[5/1|5]]'s.


[[Linear temperament]]s that temper out the octagar comma can be found in [[octagar temperaments]].
For [[rank-2 temperament]]s that temper out the octagar comma, see [[Octagar temperaments]].


== Octagar ==
== Octagar ==
This temperament is also known as ''octagari''.  
 
This temperament is catalogued as ''octagari'' in [[Graham Breed]]'s [https://x31eq.com/temper/ Temperament Finder].  


[[Subgroup]]: 2.3.5.7
[[Subgroup]]: 2.3.5.7