16/9: Difference between revisions

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== See also ==
== See also ==
* [[9/8]] – its [[octave complement]]
* [[9/8]] – its [[octave complement]]
* [[Ed16/9]]
* [[Gallery of just intervals]]
* [[Gallery of just intervals]]


[[Category:Seventh]]
[[Category:Seventh]]
[[Category:Minor seventh]]
[[Category:Minor seventh]]

Revision as of 00:00, 27 October 2024

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]\displaystyle{ \text{m7} }[/math]
Special properties reduced,
reduced subharmonic
Tenney norm (log2 nd) 7.16993
Weil norm (log2 max(n, d)) 8
Wilson norm (sopfr(nd)) 14

[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