44/35: Difference between revisions

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{{Infobox Interval}}
{{Infobox Interval}}
44/35 is an [[11-limit]] interval that is close to a [[12edo]] major third.
44/35 is an [[11-limit]] interval that is close to a [[12edo]] major third. It is the product of [[11/10]] and [[8/7]], intervals that are commonly used as stand-ins for the cube roots of [[4/3]] and [[3/2]] respectively, so appears as 1/3 of an octave in systems that carve both 4/3 and 3/2 in thirds.

Revision as of 18:17, 21 February 2025

Interval information
Ratio 44/35
Factorization 22 × 5-1 × 7-1 × 11
Monzo [2 0 -1 -1 1⟩
Size in cents 396.1783¢
Name(s) missing ? 
FJS name [math]\displaystyle{ \text{m3}^{11}_{5,7} }[/math]
Special properties reduced
Tenney height (log2 nd) 10.5887
Weil height (log2 max(n, d)) 10.9189
Wilson height (sopfr(nd)) 27
Open this interval in xen-calc

44/35 is an 11-limit interval that is close to a 12edo major third. It is the product of 11/10 and 8/7, intervals that are commonly used as stand-ins for the cube roots of 4/3 and 3/2 respectively, so appears as 1/3 of an octave in systems that carve both 4/3 and 3/2 in thirds.

Retrieved from "https://en.xen.wiki/index.php?title=44/35&oldid=182560"