44/37
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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]\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]\sqrt{nd}[/math])
~4.20009 bits
open this interval in xen-calc
| Interval information |
beryl minor third,
tricesimoseptimal minor third,
tricesimoseptimal quarter-octave
(Shannon, [math]\sqrt{nd}[/math])
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