16/9
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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,
reduced subharmonic
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
| Interval information |
reduced subharmonic
(Shannon, [math]\sqrt{nd}[/math])
[sound info]
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).