33/1

This page presents a topic of primarily mathematical interest. While it is derived from sound mathematical principles, its applications in terms of utility for actual music may be limited, highly contrived, or as yet unknown.

Interval information

Ratio	33/1
Factorization	3 × 11
Monzo	[0 1 0 0 1⟩
Size in cents	6053.273¢
Name	33rd harmonic
Color name	quincolo unison, c^51o1
FJS name	[math]\displaystyle{ \text{P36}^{11} }[/math]
Special properties	harmonic
Tenney norm (log2 nd)	5.04439
Weil norm (log2 max(n, d))	10.0888
Wilson norm (sopfr(nd))	14
Open this interval in xen-calc

33/1, the 33rd harmonic, is the harmonic after 32/1 and before 34/1. It is equal to a stack consisting of a 3rd harmonic and an 11th harmonic, or the undecimal quartertone (33/32) plus five octaves.