44/37

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 height (log2 nd)	10.6689
Weil height (log2 max(n, d))	10.9189
Wilson height (sopfr(nd))	52
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~4.20009 bits
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

• 37/22 – its octave complement
• Gallery of just intervals