44/37: Difference between revisions

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Very close to [[12edo|3\12]].
{{Infobox Interval
| Name = 37-limit quasi-tempered minor third, beryl minor third, tricesimoseptimal minor third, tricesimoseptimal quarter-octave
| Color name = 37u1o2, thisulo 2nd
}}
 
44/37, the 37-limit quasi-tempered minor third, is the continued fraction convergent to 3\[[12edo|12]] after [[25/21]] and [[19/16]]. It is followed by a 40 in the expansion, so it's a great approximation for its odd limit (compare 355/113 for π).
 
Equating it to the quarter-octave leads to the [[berylic]] temperament, tempering out the [[berylisma]].
 
== See also ==
* [[37/22]] – its octave complement
* [[Gallery of just intervals]]
 
[[category:Third]]
[[Category:Minor third]]