14/11: Difference between revisions

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~~'''~~14/11~~'''~~

{{Infobox Interval

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

| Icon =

| Ratio = 14/11

| Monzo = 1 0 0 1 -1

| Cents = 417.50796

| Name = undecimal major third

| Color name =

| Sound = jid_14_11_pluck_adu_dr220.mp3

}}

417.~~50796 cents~~

In [[11-limit]] [[Just intonation]], '''14/11''' is a supermajor third of about 417.5¢. It represents the difference between the 11th and 14th overtones of the [[OverToneSeries|harmonic series]] and appears in chords such as 8:11:14, the principal triad of [[Orgonia|Orgone]] temperament. 14/11 can also function as a [[Neo-Gothic]] major third, as it falls between [[5/4]] and [[9/7]]. Indeed, it is the [[mediant|mediant]] ratio between those simpler intervals, as it is (5+9)/(4+7). Other relatively simple thirds in this region can be generated by taking the mediant between 5/4 and 14/11 (which is (5+14)/(4+11) = [[19/15]], about 409.2¢) and between 14/11 and 9/7 (which is (14+9)/(11+7) = [[23/18]], about 424.4¢. Also in this region is the Pythagorean ([[3-limit]]) major third of [[81/64]] (about 407.8¢), which can be generated by stacking four [[3/2]] perfect fifths and [[octave-reduce|octave-reducing]].

[[~~File:jid_14_11_pluck_adu_dr220.mp3~~]] [[:~~File:jid_14_11_pluck_adu_dr220~~.~~mp3|sound sample]~~]

== See also ==

* [[Gallery of just intervals]]

* [[gentle chords]]

* [[List of root-3rd-P5 triads in JI]]

* [http://dkeenan.com/Music/NobleMediant.txt The Noble Mediant]

In [[11-limit|11-limit]] [[Just_intonation|Just Intonation]], 14/11 is a supermajor third of about 417.5¢. It represents the difference between the 11th and 14th overtones of the [[OverToneSeries|harmonic series]] and appears in chords such as 8:11:~~14, the principal triad of [[Orgonia|Orgone]] temperament. 14/11 can also function as a [[Neo-Gothic|Neo-Gothic]] major~~ third~~, as it falls between [[5/4|5/4~~]] ~~and~~ [[~~9/7|9/7~~]]~~. Indeed, it is the~~ [[~~mediant|mediant~~]] ~~ratio between those simpler intervals, as it is (5+9)/(4+7). Other relatively simple thirds in this region can be generated by taking the mediant between 5/4 and 14/11 (which is (5+14)/(4+11) =~~ [[~~19/15|19/15]], about 409.2¢) and between 14/11 and 9/7 (which is (14+9)/(~~11~~+7) = [[23/18|23/18]], about 424.4¢. Also in this region is the Pythagorean ([[3~~-limit~~|3-limit]]) major third of [[81/64|81/64]] (about 407.8¢), which can be generated by stacking four [[3/2|3/2]] perfect fifths and [[octave-reduce|octave-reducing]].~~

[[Category:Major third]]

[[Category:Supermajor]]

See: [[Gallery_of_Just_Intervals|Gallery of Just Intonation Intervals]], [[gentle_chords|gentle chords]], [[List_of_root-3rd-P5_triads_in_JI|List of root-3rd-P5 triads in JI]], [http://dkeenan.com/Music/NobleMediant.txt The Noble Mediant] [[Category:major_third]]

[[Category:Undecimal]]

[[Category:~~supermajor~~]]

[[Category:11-limit]]

[[Category:~~undecimal~~]]

[[Category:Third]]

[[Category:Interval]]

@@ Line 1: / Line 1: @@
-'''14/11'''
+{{Infobox Interval
-|1 0 0 1 -1&gt;
+| Icon =
+| Ratio = 14/11
+| Monzo = 1 0 0 1 -1
+| Cents = 417.50796
+| Name = undecimal major third
+| Color name =
+| Sound = jid_14_11_pluck_adu_dr220.mp3
+}}
-.50796 cents
+In [[11-limit]] [[Just intonation]], '''14/11''' is a supermajor third of about 417.5¢. It represents the difference between the 11th and 14th overtones of the [[OverToneSeries|harmonic series]] and appears in chords such as 8:11:14, the principal triad of [[Orgonia|Orgone]] temperament. 14/11 can also function as a [[Neo-Gothic]] major third, as it falls between [[5/4]] and [[9/7]]. Indeed, it is the [[mediant|mediant]] ratio between those simpler intervals, as it is (5+9)/(4+7). Other relatively simple thirds in this region can be generated by taking the mediant between 5/4 and 14/11 (which is (5+14)/(4+11) = [[19/15]], about 409.2¢) and between 14/11 and 9/7 (which is (14+9)/(11+7) = [[23/18]], about 424.4¢. Also in this region is the Pythagorean ([[3-limit]]) major third of [[81/64]] (about 407.8¢), which can be generated by stacking four [[3/2]] perfect fifths and [[octave-reduce|octave-reducing]].
-[[File:jid_14_11_pluck_adu_dr220.mp3]] [[:File:jid_14_11_pluck_adu_dr220.mp3|sound sample]]
+== See also ==
+* [[Gallery of just intervals]]
+* [[gentle chords]]
+* [[List of root-3rd-P5 triads in JI]]
+* [http://dkeenan.com/Music/NobleMediant.txt The Noble Mediant]
-In [[11-limit|11-limit]] [[Just_intonation|Just Intonation]], 14/11 is a supermajor third of about 417.5¢. It represents the difference between the 11th and 14th overtones of the [[OverToneSeries|harmonic series]] and appears in chords such as 8:11:14, the principal triad of [[Orgonia|Orgone]] temperament. 14/11 can also function as a [[Neo-Gothic|Neo-Gothic]] major third, as it falls between [[5/4|5/4]] and [[9/7|9/7]]. Indeed, it is the [[mediant|mediant]] ratio between those simpler intervals, as it is (5+9)/(4+7). Other relatively simple thirds in this region can be generated by taking the mediant between 5/4 and 14/11 (which is (5+14)/(4+11) = [[19/15|19/15]], about 409.2¢) and between 14/11 and 9/7 (which is (14+9)/(11+7) = [[23/18|23/18]], about 424.4¢. Also in this region is the Pythagorean ([[3-limit|3-limit]]) major third of [[81/64|81/64]] (about 407.8¢), which can be generated by stacking four [[3/2|3/2]] perfect fifths and [[octave-reduce|octave-reducing]].
+[[Category:Major third]]
+[[Category:Supermajor]]
-See: [[Gallery_of_Just_Intervals|Gallery of Just Intonation Intervals]], [[gentle_chords|gentle chords]], [[List_of_root-3rd-P5_triads_in_JI|List of root-3rd-P5 triads in JI]], [http://dkeenan.com/Music/NobleMediant.txt The Noble Mediant]      [[Category:major_third]]
+[[Category:Undecimal]]
-[[Category:supermajor]]
+[[Category:11-limit]]
-[[Category:undecimal]]
+[[Category:Third]]
+[[Category:Interval]]