16/9: Difference between revisions

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'''16/9'''
{{Infobox Interval
|4 -2>
| Icon =
| Ratio = 16/9
| Monzo = 4 -2
| Cents = 996.09000
| Name = Pythagorean minor seventh
| Sound = jid_16_9_pluck_adu_dr220.mp3
| Color name =
}}


996.09000 cents
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).


[[File:jid_16_9_pluck_adu_dr220.mp3]] [[:File:jid_16_9_pluck_adu_dr220.mp3|sound sample]]
== See also ==
* [[Gallery of Just Intervals]]
* [https://en.wikipedia.org/wiki/Minor_seventh Minor seventh - Wikipedia]


In [[3-limit|3-limit]] [[Just_intonation|Just Intonation]], 16/9 is the [[Pythagorean|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|5-limit]] minor seventh [[9/5|9/5]] (~1017.6 cents) by the syntonic comma of [[81/80|81/80]] (~21.5 cents).
[[Category:pythagorean]]
 
[[Category:interval]]
See: [[Gallery_of_Just_Intervals|Gallery of Just Intervals]]
[[Category:seventh]]
[[Category:3-limit]]
[[Category:just]]
[[Category:ratio]]
[[Category:todo:expand]]

Revision as of 12:46, 22 October 2018

Interval information
Ratio 16/9
Factorization 24 × 3-2
Monzo [4 -2⟩
Size in cents 996.09¢
Name Pythagorean minor seventh
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).

See also

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