20/17: Difference between revisions

In 17-limit just intonation, 20/17 is the diatismic minor third, measuring about 281.4 ¢. It falls short of the Pythagorean minor third (32/27) by a 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 harmonics.

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 {{Infobox Interval
-| Icon =
+| Name = diatismic minor third
-| Ratio = 20/17
-| Monzo = 2 0 1 0 0 0 -1
-| Cents = 281.3583
-| 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 [[OverToneSeries|harmonic series]] between the 17th and 20th harmonics.
-See:
+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]]
-* [[Gallery of Just Intervals]]
-[[Category:17-limit]]
+[[Category:Third]]
-[[Category:interval]]
+[[Category:Minor third]]
-[[Category:just_interval]]
+[[Category:Diatismic]]
-[[Category:minor_third]]
-[[Category:septendecimal]]

Latest revision as of 13:47, 1 June 2024