20/17: Difference between revisions

(12 intermediate revisions by 6 users not shown)

Line 1:

~~'''20/17'''~~

{{Infobox Interval

|~~2 0 1 0 0 0 -1>~~

| Name = diatismic minor third

| Sound = jid_20_17_pluck_adu_dr220.mp3

| Color name = 17uy2, suyo 2nd

}}

281.~~3583 cents~~

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.

[[~~File:jid_20_17_pluck_adu_dr220.mp3~~]] [[~~:File:jid_20_17_pluck_adu_dr220~~.~~mp3|sound sample~~]]

== See also ==

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

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

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

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

* [[Gallery of just intervals]]

In [[17-limit|17-limit]] [[Just_intonation|Just Intonation]], 20/17 is the "septendecimal minor third", measuring about 281.4¢. It is the [[mediant|mediant]] between [[7/6|7/6]] and [[13/11|13/11]], as it is (7+13)/(6+11). It is found in the [[OverToneSeries|harmonic series]] between the 17th and 20th harmonics.

[[Category:Third]]

[[Category:Minor third]]

~~See:~~

[[Category:Diatismic]]

~~<ul><li>[[17edo|4\17]] (282.353 cents)</li><li>[[17/10|17/10]] the octave complement</li><li>[[Gallery_of_Just_Intervals|Gallery of Just Intervals]]</li></ul>~~ [[Category:~~just_interval~~]]

[[Category:~~minor_third~~]]

[[Category:~~septendecimal~~]]

@@ Line 1: / Line 1: @@
-'''20/17'''
+{{Infobox Interval
-|2 0 1 0 0 0 -1&gt;
+| Name = diatismic minor third
+| Sound = jid_20_17_pluck_adu_dr220.mp3
+| Color name = 17uy2, suyo 2nd
+}}
-.3583 cents
+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.
-[[File:jid_20_17_pluck_adu_dr220.mp3]] [[:File:jid_20_17_pluck_adu_dr220.mp3|sound sample]]
+== See also ==
+* [[17/10]] – its [[octave complement]]
+* [[51/40]] – its [[fifth complement]]
+* [[17/15]] – its [[fourth complement]]
+* [[17edo|4\17]] (282.353 cents)
+* [[Gallery of just intervals]]
-In [[17-limit|17-limit]] [[Just_intonation|Just Intonation]], 20/17 is the "septendecimal minor third", measuring about 281.4¢. It is the [[mediant|mediant]] between [[7/6|7/6]] and [[13/11|13/11]], as it is (7+13)/(6+11). It is found in the [[OverToneSeries|harmonic series]] between the 17th and 20th harmonics.
+[[Category:Third]]
+[[Category:Minor third]]
-See:
+[[Category:Diatismic]]
-<ul><li>[[17edo|4\17]] (282.353 cents)</li><li>[[17/10|17/10]] the octave complement</li><li>[[Gallery_of_Just_Intervals|Gallery of Just Intervals]]</li></ul>      [[Category:just_interval]]
-[[Category:minor_third]]
-[[Category:septendecimal]]