16/9: Difference between revisions

(9 intermediate revisions by 7 users not shown)

Line 1:

{{Infobox Interval

~~| Icon =~~

~~| Ratio = 16/9~~

~~| Monzo = 4 -2~~

~~| Cents = 996.09000~~

| Name = Pythagorean minor seventh

| Color name = w7, wa 7th

| 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 [[4/3|perfect fourth]]s, 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 ==

* [[~~Gallery of Just Intervals~~]]

* [[9/8]] – its [[octave complement]]

* [~~https:~~/~~/en.wikipedia.org/wiki/Minor_seventh Minor seventh - Wikipedia~~]

* [[Ed16/9]]

* [[Gallery of just intervals]]

~~[[Category:3-limit]]~~

~~[[Category:Ratio]]~~

~~[[Category:Just interval]]~~

[[Category:Seventh]]

[[Category:Minor seventh]]

~~[[Category:Pythagorean]]~~

~~[[Category:todo:expand]]~~

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| Icon =
-| Ratio = 16/9
-| Monzo = 4 -2
-| Cents = 996.09000
 | Name = Pythagorean minor seventh
+| Color name = w7, wa 7th
 | Sound = jid_16_9_pluck_adu_dr220.mp3
-| Color name = w7, wa 7th
 }}
+{{Wikipedia|Minor seventh}}
-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 [[4/3|perfect fourth]]s, 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 ==
-* [[Gallery of Just Intervals]]
+* [[9/8]] – its [[octave complement]]
-* [https://en.wikipedia.org/wiki/Minor_seventh Minor seventh - Wikipedia]
+* [[Ed16/9]]
+* [[Gallery of just intervals]]
-[[Category:3-limit]]
-[[Category:Ratio]]
-[[Category:Just interval]]
 [[Category:Seventh]]
 [[Category:Minor seventh]]
-[[Category:Pythagorean]]
-[[Category:todo:expand]]