44/37: Difference between revisions

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-'''44/37'''
+{{Infobox Interval
-{{Monzo | 2 0 0 0 1 0 0 0 0 0 0 -1}}
+| Name = 37-limit quasi-tempered minor third, beryl minor third, tricesimoseptimal minor third, tricesimoseptimal quarter-octave
+| Color name = 37u1o2, thisulo 2nd
+}}
-.973904 cents
+/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).
-Very close to 3\12 (3 steps of [[12edo]]), as well as to [[25/21]] and [[19/16]].
+Equating it to the quarter-octave leads to the [[berylic]] temperament, tempering out the [[berylisma]].
-See also [[Gallery of Just Intervals]].
+== See also ==
+* [[37/22]] &ndash; its octave complement
+* [[Gallery of just intervals]]
-[[category:interval]]
+[[category:Third]]
-[[category:37-limit]]
+[[Category:Minor third]]
-[[category:third]]