16/9

From Xenharmonic Wiki
Jump to navigation Jump to search
Interval information
Ratio 16/9
Factorization 24 × 3-2
Monzo [4 -2
Size in cents 996.09¢
Name Pythagorean minor seventh
Color name w7, wa 7th
FJS name [math]\text{m7}[/math]
Special properties reduced
Tenney height (log2 nd) 7.16993
Weil height (log2 max(n, d)) 8
Wilson height (sopfr (nd)) 14
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~4.23509 bits

[sound info]
open this interval in xen-calc
English Wikipedia has an article on:

In 3-limit just intonation, 16/9 is the Pythagorean minor seventh, at about 996.1 cents. It is equal to two perfect fourths, or (4/3)×(4/3), and is thus the octave reduced form of the ninth subharmonic. It differs from the nearby 5-limit minor seventh 9/5 (~1017.6 cents) by the syntonic comma of 81/80 (~21.5 cents), and the 7-limit minor seventh 7/4 (~968.8 cents) by the septimal comma of 64/63 (~27.3 cents).

See also