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Quartal Harmony

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<u>{{Top-Level Crumbs|1}}{{Lesson Crumbs|3}}{{Advanced Lesson Crumbs|9}} '''Quartal Harmony</u> ''' uses chords built on 4th intervals, rather than the common 3rds(called '''Tertian Harmony'''). For example, a common C major triad is (C E G), featuring a M3 between C and E and a m3 between E and G. A quartal chord would instead appear similar to (C F B{{b}}) - a P4 between C and F and another P4 between F and B{{b}}. Not only can we use the P4, but also the d4 and A4 intervals. == Pre-Reqs ==* [[C Major Chord]] for introduction to chords using tertian harmony* [[Atonality and Serialism]] for possible applications of quartal harmony* [[Extended Chords]]
== Theory ==
== Chord Shapes ==
=== 3 Note ===
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! !! A E G or<br>E A D<br>Strings !! D G B<br>Strings !! G B E<br>Strings
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! (R P4 m7)<br>P4-P4
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! (R P4 M7)<br>P4-A4
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! (R A4 M7)<br>A4-P4
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=== 4 Note ===
{|class="wikitable"
! (R P4 P4) !! (R P4 A4) E A D G<br>Strings !! A D G B<br>Strings !!D G B E<br>Strings |-! (R A4 P4m7 m3)<br>P4-P4-P4|<pre>|-|-|-||-|-|-||i|-|-||i|-|-||i|-|-||i|-|-|</pre>|<pre>|-|-|-||-|m|-||i|-|-||i|-|-||i|-|-||-|-|-|</pre>|<pre>|-|r|-||-|m|-||i|-|-||i|-|-||-|-|-||-|-|-|</pre>
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! G B E(R P4 m7 M3)<br>StringsP4-P4-A4
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! D G B(R P4 M7 M3)<br>StringsP4-A4-P4
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! A E G or(R A4 M7 M3)<br>E A D<br>StringsA4-P4-P4
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=== 5 Note ===
{|class="wikitable"
! !! E A D G B<br>Strings !! A D G B E<br>Strings
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! (R P4 m7 m3 m6)<br>P4-P4-P4-P4
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! (R P4 m7 m3 M6)<br>P4-P4-P4-A4
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! (R P4 m7 M3 M6)<br>P4-P4-A4-P4
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! (R P4 M7 M3 M6)<br>P4-A4-P4-P4
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! (R A4 M7 M3 M6)<br>A4-P4-P4-P4
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=== Popular Non-Diatonic Chords ===
{|class="wikitable"
! "So What" Chord<br>(from Miles Davis's<br>''So What'')<br>(R P4 m7 m3 P5)<br>P4-P4-P4-d4
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== Quintal Harmony ==
Just as there is Quartal Harmony built on 4ths, there is '''Quintal Harmony''' built on 5ths. However, I do not feel there is any necessity to explore it here, as it is essentially the inverse of Quartal Harmony. For example, look at the following chords:
 
{|class="wikitable"
! Quartal Chord !! Equivalent<br>Quintal Chord
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Bb|-|m|-|-|
F |-|m|-|-|
C |i|-|-|-|
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C |-|-|-|-|-|p|
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B |-|-|r|-|
F#|-|-|r|-|
C |i|-|-|-|
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C |-|-|-|-|p|
F#|-|-|-|r|-|
B |i|-|-|-|-|
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The note names simply ascend/descend in the opposite order.
* P4 inverts to a P5
* d4 inverts to an A5
* A4 inverts to enharmonically equivalent d5
* m7 inverts to M2
* M7 inverts to m2
 
Quintal harmony may space notes further apart, which may be preferable for playing in lower registers. However, since quartal/quintal harmonies are more typically associated with Jazz which uses a fairly register for guitar, this is usually a moot point.
 
And since standard guitar tuning using 4ths, this makes quartal chords significantly eaiser to finger than quintal chords.
 
{{top}}
 
== Homework ==
{{top}}
== Q/A ==
== Related Lessons ==
 
{{top}}
{{Advanced Lesson Crumbs|11}}
 
[[Category:Guitar]]
[[Category:Lessons]]
[[Category:Advanced]]
[[Category:Harmony]]