16/9
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Ratio | 16/9 |
Factorization | 2^{4} × 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 (log_{2} nd) | 7.16993 |
Weil height (log_{2} 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).