44/37: Difference between revisions
not just close, but convergent |
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{{Infobox Interval | {{Infobox Interval | ||
| Name = 37-limit quasi-tempered minor third | | Name = 37-limit quasi-tempered minor third, beryl minor third, tricesimoseptimal minor third, tricesimoseptimal quarter-octave | ||
| Color name = 37u1o2, thisulo 2nd | | Color name = 37u1o2, thisulo 2nd | ||
}} | }} | ||
44/37, the 37-limit quasi-tempered minor third, is | 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 == | == See also == | ||
* [[37/22]] | * [[37/22]] – its octave complement | ||
* [[Gallery of just intervals]] | * [[Gallery of just intervals]] | ||
[[category:Third]] | [[category:Third]] | ||
[[Category:Minor third]] | [[Category:Minor third]] | ||