33/20

From Xenharmonic Wiki
Jump to navigation Jump to search
Interval information
Ratio 33/20
Factorization 2-2 × 3 × 5-1 × 11
Monzo [-2 1 -1 0 1
Size in cents 866.95923¢
Name undecimal submajor sixth
Color name 1og6, logu 6th
FJS name [math]\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]\sqrt{n\cdot d}[/math])
~4.49522 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