48/31: Difference between revisions

Interval information
Ratio	48/31
Subgroup monzo	2.3.31 [4 1 -1⟩
Size in cents	756.9194¢
Names	tricesimoprimal inframinor sixth,; tricesimoprimal superfifth
Color name	thiwu 6th, 31u6
FJS name	[math]\displaystyle{ \text{m6}_{31} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	10.5392
Weil norm (log2 max(n, d))	11.1699
Wilson norm (sopfr(nd))	42
	Open this interval in xen-calc

Latest revision as of 12:51, 27 April 2025

In 31-limit just intonation, 48/31 is either the tricesimoprimal inframinor sixth or tricesimoprimal superfifth. It is flat of the Pythagorean minor sixth (128/81) by 248/243, and sharp of the perfect fifth (3/2) by 32/31. It can be used as a generator tuning for the sensi temperament, especially for the 5-limit sensipent temperament.

48/31 is very closely approximated by 41\65.

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| Name = tricesimoprimal inframinor sixth, tricesimoprimal semiaugmented fifth
+| Name = tricesimoprimal inframinor sixth, tricesimoprimal superfifth
 | Color name = thiwu 6th, 31u6
 }}
-In [[31-limit]] [[just intonation]], '''48/31''' is either the '''tricesimoprimal inframinor sixth''' or '''tricesimoprimal semiaugmented fifth'''. It is flat of the [[128/81|Pythagorean minor sixth (128/81)]] by [[248/243]], and sharp of the [[3/2|perfect fifth (3/2)]] by [[32/31]]. It can be used as a [[generator]] tuning for the [[sensi]] temperament, especially for the [[5-limit]] [[sensipent]] temperament.
+In [[31-limit]] [[just intonation]], '''48/31''' is either the '''tricesimoprimal inframinor sixth''' or '''tricesimoprimal superfifth'''. It is flat of the [[128/81|Pythagorean minor sixth (128/81)]] by [[248/243]], and sharp of the [[3/2|perfect fifth (3/2)]] by [[32/31]]. It can be used as a [[generator]] tuning for the [[sensi]] temperament, especially for the [[5-limit]] [[sensipent]] temperament.
 == Approximation ==