44/37: Difference between revisions

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not just close, but convergent
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44/37, the 37-limit quasi-tempered minor third, is a continued fraction convergent to 3\[[12edo|12]], as well as to [[25/21]] and [[19/16]].
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'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 ==
== See also ==

Revision as of 14:09, 2 October 2023

Interval information
Ratio 44/37
Subgroup monzo 2.11.37 [2 1 -1
Size in cents 299.9739¢
Name 37-limit quasi-tempered minor third
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'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