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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
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

44/37, the 37-limit quasi-tempered minor third, is the continued fraction convergent to 3\12 after 25/21 and 19/16. It's followed by a 40 in the expansion, so it's a great approximation for its odd limit (compare 355/113 for π).

See also