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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 ===
{|class="wikitable"
! !! 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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|-|m|-|
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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"
! !! E A D G<br>Strings !! A D G B<br>Strings !! D G B E<br>Strings
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! (R P4 m7 m3)<br>P4-P4-P4
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! (R P4 m7 M3)<br>P4-P4-A4
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! (R P4 M7 M3)<br>P4-A4-P4
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! (R A4 M7 M3)<br>A4-P4-P4
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=== 5 Note ==={|class="wikitable"! !! E A D G B<br>Strings !! A D G B E<br>Strings|-! (R P4 m7 m3 m6)<br>P4-P4-P4-P4
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<pre>|-|-|-||-|m|-||i|-|-| |i|-|m-||i|-|-| |i|-|-|</pre>|<pre>|-|r|-| |-|m|-||i|-|-| |i|-|-||i|-|-| |-|-|-|</pre>|-! (R P4 m7 m3 M6)<br>P4-P4-|P4-A4
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<pre>|-|-|r|-| |-|m|-|-r| |i|-|-|-| |-|-i|-|-| |-|-i|-|-| |-|-i|-|-|</pre>
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<pre>|-|-|r|-| |-|-|rm|-| |i|-|-|-| |-|-i|-|-| |-|-i|-|-| |-|-|-|-|</pre>
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! (R P4 m7 M3 M6)<br>P4-P4-A4-P4
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<pre>|-|-|p||-|-|r| |-|mi|-|-| |i|-|-|-| |i|-|-|-| |-|-|-|-| </pre>|-|! (R P4 M7 M3 M6)<br>P4-|A4-|P4-|P4
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|-<pre>|-|-|-| |-|-|r|-p| |i|-|-r|-| |i|-|-m|-| |-|-i|-|-| |-|-i|-|-|</pre>
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<pre>|-|-|-|-p| |-|-|r|-| |-|m|-|-| |i|-|-|-| |-|-i|-|-| |-|-|-|-|</pre>
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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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<pre> |-i|-|-|-| |-)|-m|-|-|
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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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<pre>
Bb|-|m|-|-|
F |-|m|-|-|
C |i|-|-|-|
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5
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C |-|-|-|-|-|p|
F |-|-|-|r|-|-|
Bb|i|-|-|-|-|-|
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3
</pre>
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<pre>B |-|-|-r|-| F#|-|-|-r|-| C |i|-|m|-|-| |i-|-|-|-| |i-|-|-|-| |-|-|-|-| 5</pre>
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<pre>C |-|-|-|-|p| F#|-|-|-|r|-| B |i|-|r-|-|-| |-|m-|-|-|-| |i-|-|-|-|-| |-|-|-|-|-| 4</pre>
|}
 
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]]