20/17: Difference between revisions

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{{Infobox Interval

~~| Icon =~~

| Name = diatismic minor third

~~| Ratio = 20/17~~

~~| Monzo = 2 0 1 0 0 0 -1~~

~~| Cents = 281.35830~~

| Name = ~~septendecimal~~ minor third

| Sound = jid_20_17_pluck_adu_dr220.mp3

| Color name = 17uy2, suyo 2nd

}}

In [[17-limit]] [[just intonation]], '''20/17''' is the '''~~septendecimal~~ minor third''', measuring about 281.4¢. It is the [[mediant]] ~~between~~ [[7/6]] and [[13/11]], as it is (7+13)/(6+11). It is found in the [[harmonic series]] between the 17th and 20th ~~harmonics~~.

In [[17-limit]] [[just intonation]], '''20/17''' is the '''diatismic minor third''', measuring about 281.4{{cent}}. It falls short of the [[32/27|Pythagorean minor third (32/27)]] by a [[136/135|diatisma (136/135)]], hence the name. It is the [[mediant]] of [[7/6]] and [[13/11]], as it is (7 + 13)/(6 + 11). It is found in the [[harmonic series]] between the 17th and 20th [[harmonic]]s.

== See also ==

* [[17/10]] – its [[octave complement]]

* [[51/40]] – its [[fifth complement]]

* [[17/15]] – its [[fourth complement]]

* [[17edo|4\17]] (282.353 cents)

* [[17/10]] the [[octave complement]]

* [[Gallery of just intervals]]

[[Category:~~17-limit]]~~

[[Category:Third]]

~~[[Category:Interval ratio]]~~

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

[[Category:Minor third]]

[[Category:~~Third~~]]

[[Category:Diatismic]]

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| Icon =
+| Name = diatismic minor third
-| Ratio = 20/17
-| Monzo = 2 0 1 0 0 0 -1
-| Cents = 281.35830
-| Name = septendecimal minor third
 | Sound = jid_20_17_pluck_adu_dr220.mp3
 | Color name = 17uy2, suyo 2nd
 }}
-In [[17-limit]] [[just intonation]], '''20/17''' is the '''septendecimal minor third''', measuring about 281.4¢. It is the [[mediant]] between [[7/6]] and [[13/11]], as it is (7+13)/(6+11). It is found in the [[harmonic series]] between the 17th and 20th harmonics.
+In [[17-limit]] [[just intonation]], '''20/17''' is the '''diatismic minor third''', measuring about 281.4{{cent}}. It falls short of the [[32/27|Pythagorean minor third (32/27)]] by a [[136/135|diatisma (136/135)]], hence the name. It is the [[mediant]] of [[7/6]] and [[13/11]], as it is (7 + 13)/(6 + 11). It is found in the [[harmonic series]] between the 17th and 20th [[harmonic]]s.
 == See also ==
+* [[17/10]] – its [[octave complement]]
+* [[51/40]] – its [[fifth complement]]
+* [[17/15]] – its [[fourth complement]]
 * [[17edo|4\17]] (282.353 cents)
-* [[17/10]] the [[octave complement]]
 * [[Gallery of just intervals]]
-[[Category:17-limit]]
+[[Category:Third]]
-[[Category:Interval ratio]]
-[[Category:Just interval]]
 [[Category:Minor third]]
-[[Category:Third]]
+[[Category:Diatismic]]