16/9: Difference between revisions

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| Cents = 996.09000
| Cents = 996.09000
| Name = Pythagorean minor seventh
| Name = Pythagorean minor seventh
| Color name = w7, wa 7th
| FJS name = m7
| Sound = jid_16_9_pluck_adu_dr220.mp3
| Sound = jid_16_9_pluck_adu_dr220.mp3
| Color name = w7, wa 7th
 
}}
}}


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). It differs from the nearby [[5-limit]] minor seventh [[9/5]] (~1017.6 cents) by the syntonic comma of [[81/80]] (~21.5 cents).
In [[3-limit]] [[Just Intonation]], '''16/9''' is the '''Pythagorean minor seventh''', at about 996.1 cents. It is equal to two [[perfect fourth|perfect fourths]], or (4/3)×(4/3). 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 ==
== See also ==
* [[Gallery of Just Intervals]]
* [[Gallery of Just Intervals]]
* [https://en.wikipedia.org/wiki/Minor_seventh Minor seventh - Wikipedia]
* [[9/8]] – its [[octave complement]]
* [[Wikipedia:Minor_seventh|Minor seventh - Wikipedia]]


[[Category:3-limit]]
[[Category:3-limit]]
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[[Category:Minor seventh]]
[[Category:Minor seventh]]
[[Category:Pythagorean]]
[[Category:Pythagorean]]
[[Category:todo:expand]]

Revision as of 11:18, 19 September 2020

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 height (log2 nd) 7.16993
Weil height (log2 max(n, d)) 8
Wilson height (sopfr(nd)) 14

[sound info]
Open this interval in xen-calc

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). 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