44/37: Difference between revisions
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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 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]] – its octave complement | |||
* [[Gallery of just intervals]] | * [[Gallery of just intervals]] | ||
[[category:Third]] | [[category:Third]] | ||
[[Category:Minor third]] | [[Category:Minor third]] | ||
Latest revision as of 01:09, 29 November 2024
| Interval information |
beryl minor third,
tricesimoseptimal minor third,
tricesimoseptimal quarter-octave
44/37, the 37-limit quasi-tempered minor third, is the continued fraction convergent to 3\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