38/33: Difference between revisions

Interval information
Ratio	38/33
Factorization	2 × 3-1 × 11-1 × 19
Monzo	[1 -1 0 0 -1 0 0 1⟩
Size in cents	244.2401¢
Name(s)	missing ?
FJS name	[math]\displaystyle{ \text{m3}^{19}_{11} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	10.2923
Weil norm (log2 max(n, d))	10.4959
Wilson norm (sopfr(nd))	35
	Open this interval in xen-calc

Latest revision as of 08:04, 11 April 2026

38/33 is a 19-limit interval in the interseptimal range, at around 244 cents. It is the fourth complement of 22/19. It is classified as a minor third in FJS and HEJI, flat of the Pythagorean minor third by 176/171, which is the difference between 33/32 and 513/512. A stack of two 38/33's falls short of 4/3 by 363/361.

This interval is very near 1 step of 5edo and 5 steps of 24edo.

@@ Line 1: / Line 1: @@
 {{Infobox interval}}
-/33 is a [[19-limit]] interval in the [[Interseptimal interval|interseptimal]] range, at around 244 [[Cents|¢]]. It is the [[fourth complement]] of [[22/19]]. It is classified as a minor 3rd in the FJS system.
+'''38/33''' is a [[19-limit]] interval in the [[interseptimal]] range, at around 244 [[cent]]s. It is the [[fourth complement]] of [[22/19]]. It is classified as a [[minor third]] in [[FJS]] and [[HEJI]], flat of the [[32/27|Pythagorean minor third]] by [[176/171]], which is the difference between [[33/32]] and [[513/512]]. A stack of two 38/33's falls short of [[4/3]] by [[363/361]].
+This interval is very near 1 step of [[5edo]] and 5 steps of [[24edo]].
+== See also ==
+* [[33/19]] – its [[octave complement]]
-This interval is very near 1 step of [[5edo]] and 5 steps of [[24edo]].
 {{Stub}}