33/26

From Xenharmonic Wiki
Jump to navigation Jump to search
Interval information
Ratio 33/26
Factorization 2-1 × 3 × 11 × 13-1
Monzo [-1 1 0 0 1 -1
Size in cents 412.74528¢
Names major minthmic major third,
tridecimal major third
Color name 3u1o3, thulo 3rd
FJS name [math]\text{M3}^{11}_{13}[/math]
Special properties reduced
Tenney height (log2 nd) 9.74483
Weil height (log2 max(n, d)) 10.0888
Wilson height (sopfr (nd)) 29
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~4.25711 bits

[sound info]
open this interval in xen-calc

33/26, the major minthmic major third or tridecimal major third, is a 13-limit interval measuring about 412.7 ¢. It is the fifth complement of the tridecimal minor third, 13/11. It is sharp of the Pythagorean major third (81/64) by a major minthma (352/351).

See also