33/20

Interval information

Ratio	33/20
Factorization	2-2 × 3 × 5-1 × 11
Monzo	[-2 1 -1 0 1⟩
Size in cents	866.9592¢
Name	undecimal submajor sixth
Color name	1og6, logu 6th
FJS name	[math]\displaystyle{ \text{m6}^{11}_{5} }[/math]
Special properties	reduced
Tenney height (log2 nd)	9.36632
Weil height (log2 max(n, d))	10.0888
Wilson height (sopfr(nd))	23
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~4.18996 bits
Open this interval in xen-calc

33/20, the undecimal submajor sixth, approx. 867 cents in size, has a very close approximation in 18edo. It is flat of the classic major sixth 5/3 by 100/99 (17.4¢); more notably, it differs from the tridecimal submajor sixth 104/63 by only 2080/2079.

See also

• 40/33 – its octave complement
• Gallery of just intervals