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]]

Latest revision as of 01:09, 29 November 2024

Interval information
Ratio 44/37
Subgroup monzo 2.11.37 [2 1 -1
Size in cents 299.9739¢
Names 37-limit quasi-tempered minor third,
beryl minor third,
tricesimoseptimal minor third,
tricesimoseptimal quarter-octave
Color name 37u1o2, thisulo 2nd
FJS name [math]\displaystyle{ \text{m3}^{11}_{37} }[/math]
Special properties reduced
Tenney norm (log2 nd) 10.6689
Weil norm (log2 max(n, d)) 10.9189
Wilson norm (sopfr(nd)) 52
Open this interval in xen-calc

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