Kirchhoff–Love plate theory: Difference between revisions

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[[Image:Incomplete dominant seventh chord in C major.png|thumb|right|Dominant seventh (V<sup>7</sup>) and incomplete dominant seventh (vii{{music|dim}}) in C major: G7 and b{{music|dim}} chords {{audio|Incomplete dominant seventh chord in C major.mid|Play}}.]]
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[[Image:III+7M chord in C minor.png|thumb|right|[[augmented major seventh chord|III+]]<math>_M^7</math> chord in C [[Minor scale#Harmonic and melodic minor|harmonic]] or ascending [[Minor scale|melodic minor]]<ref name="B&S 230">Benward & Saker (2003). ''Music: In Theory and Practice, Vol. I'', p.230. Seventh Edition. ISBN 978-0-07-294262-0.</ref> {{audio|III+7M chord in C minor.mid|Play}}.]]
[[Image:Major seventh chord on F.png|thumb|right|Major seventh chord on F {{audio|Major seventh chord on F.mid|Play}}. IV<sup>7</sup> in C major.<ref name="B&S 229">Benward & Saker (2003), p.229.</ref>]]
[[Image:Minor major seventh chord on C.png|thumb|right|Minor major seventh chord on C.<br/> i<math>_M^7</math> in C [[Minor scale#Harmonic and melodic minor|melodic]] or [[minor scale|ascending melodic minor]].<ref name="B&S 230"/>]]
[[Image:Minor seventh chord on C.png|thumb|right|Minor-minor (i<sup>7</sup>) seventh chord on C<ref name="B&S 230"/> {{audio|Minor seventh chord on C.mid|Play}}.]]
[[Image:Nondominant seventh chord resolution.png|thumb|right|Nondominant seventh chord resolution along a circle progression, the seventh resolves down by step to the third of the next chord: I<sup>7</sup>-IV<ref name="B&S 233"/> {{audio|Nondominant seventh chord resolution.mid|Play}}. B resolves to A.]]
 
In [[music theory]], a '''nondominant seventh chord''' is a [[chord (music)|chord]] which is a [[diatonic and chromatic|diatonic chord]] that is a [[seventh chord]] but that does not possess [[dominant (music)|dominant]] [[diatonic function|function]]<ref name="B&S 229"/> and thus is ''not'' a [[dominant seventh chord]].
 
Since the [[dominant (music)|V]] and [[Leading-tone|vii{{music|dim}}]] chords are the dominant function chords,<ref name="B&S 229"/> the "major minor seventh" V<sup>7</sup> and "half-diminished seventh" [[leading-tone seventh chord|vii{{music|halfdim}}<sup>7</sup>]] are the dominant seventh chords. Since the nondominant function chords are [[tonic (music)|I]], i, [[supertonic|ii]], ii{{music|dim}}, [[mediant|iii]], III, [[subdominant|IV]], iv, [[submediant|vi]], and VI,<ref name="B&S 229"/> the nondominant seventh chord qualities include the [[augmented major seventh chord]], [[major seventh chord]], [[minor major seventh chord]], [[minor seventh chord]], and major minor seventh chords that do not possess dominant function, such as, in [[Minor scale#Melodic minor scale|melodic minor]], [[subdominant|IV]]<math>_m^7</math>.
 
To [[musical analysis|analyze]] seventh chords indicate the quality of the triad; [[major chord|major]]: I, [[minor chord|minor]]: ii, half-diminished: vii{{music|halfdim}}, or [[augmented chord|augmented]]: III+; and the quality of the [[seventh (chord)|seventh]]; same: <sup>7</sup>, or different: <math>_M^7</math> or <math>_m^7</math>.<ref name="B&S 229"/> In [[macro analysis]] indicate the [[root (chord)|root]] and [[Major and minor|chord quality]], and add <sup>7</sup>, thus a seventh chord on ii in C major (minor minor seventh) would be d<sup>7</sup>.<ref name="B&S 230"/>
 
As with dominant seventh chords, nondominant seventh chords usually progress according to the [[circle progression]], thus [[augmented major seventh chord|III+]]<math>_M^7</math> resolves to vi or [[subdominant|VI]],<ref name="B&S 232">Benward & Saker (2003), p.232.</ref> for example.
 
[[Image:"Try To Remember" nondominant seventh chords.png|thumb|center|330px|Nondominant seventh chords are, "found in large number," in popular music and jazz ("a legacy from the romantic period"), such as in this example from "[[Try To Remember]]" (''[[The Fantasticks]]'') by [[Harvey Schmidt]] (lyrics: [[Tom Jones (writer)|Tom Jones]])<ref name="B&S 232"/> {{audio|"Try To Remember" nondominant seventh chords.mid|Play}}. Note the circle progression derived root motion by fourths/fifths.]]
 
When possible, as in circle progressions, [[resolution (music)|resolve]] the seventh of nondominant seventh chords down by [[steps and skips|step]] to the [[third (chord)|third]] of the following chord.<ref name="B&S 233">Benward & Saker (2003), p.233-34.</ref>
 
[[Image:ii7-V7-I turnaround in C.png|thumb|center|330px|[[ii-V-I turnaround|ii<sup>7</sup>-V<sup>7</sup>-I turnaround]] in C {{audio|ii7-V7-I turnaround in C.mid|Play}}.]]
 
==See also==
*[[Irregular resolution]]
*[[Dominant ninth]], etc.
*[[Dominant seventh flat five chord]]
 
==Sources==
{{reflist}}
 
{{Degrees|state=expanded}}
{{Chords|state=expanded}}
 
[[Category:Seventh chords]]

Revision as of 14:05, 12 February 2014

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