Chords in fourths - Quartal harmony - So what chord

Quartal harmony - Chords in fourthsTo enrich and modernize the harmonization of a piece it is common to use fourth chords. They can replace some original chords to bring more melodic freedom into improvisation and more tension in harmony. Since the late 1950s, harmony in fourths has played a very important role in the development of modern jazz. Musicians and composers have used a lot the quartal harmony. Among them, the great American pianist McCoy Tyner, who is a master in the art of playing quartal chords. Mike Stern, Herbie Hancock, Chick Corea, Bill Evans and Kurt Rosewinkel have also used this technique. In this lesson we will see how to build chords in fourths, how to harmonize the major scale with and how to use them in comping. 

How to built chords in fourths ?

Basically, chords are built by stacking thirds. If you don't master this fundamental theoretical element, it is therefore preferable to go to see the lesson about how to harmonize the major scale in thirds

What's a fourth interval ?

An interval is the distance between two notes. There are two kinds of fourth intervals :

  • A perfect fourth (4) is built with five semitones, it is either considered major or minor. For example, D is 5 semitones away from G. This is a perfect fourth interval.
  • An augmented fourth (aug4) is constructed with 6 semitones. Example with F and B.

What's a fourth chord ? 

A fourth chord, also called quartal chord, is a chord built with fourth intervals. There can be three types of fourths chords :

  • Built by stacking 2 perfect fourths (4 + 4). This is the basic fourth chord.
  • Built by stacking 1 perfect fourth and an augmented fourth (4 + aug4).
  • Built by stacking an augmented fourth and a perfect fourth (aug4 + 4) .

Basic fourth chords - Voicings - Guitar positions and inversions

Building a three-note chord built in fourths in its pure form is quite easy. Starting  from the fundamental, you just have to stack notes separated by intervals of perfect fourths. Example with C.

  • C (the fundamental)
  • F (11) is the fourth of C (5 semitones away from C).
  • Bb (M7) is the fourth of F (5 semitones away from F). 

By stacking these three notes, we obtain a three-note chord built in fourths C-F-Bb.

Fourth chord

Here are the fourth chord voicings and their respective guitar diagrams with basses on 6th, 5th, 4th and 3rd strings.

Fourth chord (root position) 1 11 (4) b7
1st inversion 11 (4) b7 1
2nd inversion b7 1 11 (4)

Fourth chord guitar diagram - Bass on 6th string - Root in the bass

Fourth chord guitar diagram bass on 6 string

Fourth chord guitar diagram - Bass on 6th string - 4th in the bass

Fourth chord guitar diagram bass on 6 string 2

Fourth chord guitar diagram - Bass on 6th string - b7 in the bass

Fourth chord guitar diagram bass on 6 string 3

Fourth chord guitar diagram - Bass on 5th string - Root in the bass

Fourth chord guitar position bass on 5th string

Fourth chord guitar diagram - Bass on 5th string - 4th in the bass

Fourth chord guitar position bass on 5th string 2

Fourth chord guitar diagram - Bass on 5th string - b7 in the bass

Fourth chord guitar position bass on 5th string 3

Fourth chord guitar diagram - Bass on 4th string - Root in the bass

Fourth chord guitar shape bass on 4th string

Fourth chord guitar diagram - Bass on 4th string - 4th in the bass

Fourth chord guitar shape bass on 4th string 2

Fourth chord guitar diagram - Bass on 4th string - b7 in the bass

Fourth chord guitar shape bass on 4th string 3

Fourth chord guitar diagram - Bass on 3rd string - Root in the bass

Fourth chord guitar form bass on 3rd string

Fourth chord guitar diagram - Bass on 3rd string - 4th in the bass

Fourth chord guitar form bass on 3rd string 2

Fourth chord guitar diagram - Bass on 3rd string - Root in the bass

Fourth chord guitar form bass on 3rd string

Fourth chord guitar diagram - Bass on 3rd string - 4th in the bass

Fourth chord guitar form bass on 3rd string 2

Fourth chord guitar diagram - Bass on 3rd string - b7 in the bass

Fourth chord guitar form bass on 3rd string 3

Harmonizing the major scale in diatonic fourths

All the chords from the harmonized major scale are made up of perfect fourths (4th + 4th). Except for the I and IV degrees, because of the harmonization, are respectively built with 4th + aug4th  and aug4th + 4th.  

That implies 8 other fourth chord positions that all have two possible inversions: 

Fourths chords made up of 4th + aug4th

These four positions are related to the degree I of the major scale. They are built by stacking a perfect fourth and an augmented fourth.

Fourth chord (perfect 4th + augmented 4th) 1 4 (11) 7
1st inversion 4 (11) 7 1
2nd inversion 7 1 4 (11)

 

Fourth chord 4th and  augmented 4th

Fourth chord guitar diagram - 4th + aug4th -  Bass on 6th string - Root in the bass

Fourths chord guitar diagram

Fourth chord guitar diagram - 4th + aug4th -  Bass on 5th string - Root in the bass

Fourths chord guitar diagram 2

Fourth chord guitar diagram - 4th + aug4th -  Bass on 4th string - Root in the bass

Fourths chord guitar diagram 3

Fourth chord guitar diagram - 4th + aug4th -  Bass on 3rd string - Root in the bass

Fourths chord guitar diagram 4

Fourths chords made up of aug4th + 4th

The four following guitar diagrams are related to the degree IV of the major scale. They are built by stacking an augmented fourth and a perfect fourth.

Fourth chord (augmented 4th + perfect 4th ) 1 #4 (#11) 7
1st inversion #4 (#11) 7 1
2nd inversion 7 1 #4 (#11)

 

Fourth chord aug4th and 4th

Fourth chord guitar diagram - aug4th + 4th -  Bass on 6th string - Root in the bass

Fourths chord guitar shape

Fourth chord guitar diagram - aug4th + 4th -  Bass on 5th string - Root in the bass

Fourths chord guitar shape 3

Fourth chord guitar diagram - aug4th + 4th -  Bass on 4th string - Root in the bass

Fourths chord guitar shape 2

Fourth chord guitar diagram - aug4th + 4th -  Bass on 3rd string - Root in the bass

Fourths chord guitar shape 4

Quartal harmony yields a somewhat harmonically ambiguous sound, because the voices have a less direct relationship to the root of the chord. It is difficult to indentify a tonal center with chords built in fourths. There can be more than one chord quality for a fourth chord.

C major scale harmonized in fourths (3 notes)

Here are some examples that show you how to play the C major scale harmonized in fourths on the guitar.

Example 1 : Quartal harmony of C major scale starting from the I degree.

Major scale harmonizing in fourths

Example 2 : Quartal harmony of C major scale on strings 6,5 and 4.

This example starts from the V degree of the major scale.

Quartal harmony of C major scale on strings 6,5 and 4.

Example 3 : Quartal harmony of C major scale on strings 5,4 and 3.

Quartal harmony of C major scale on strings 5,4 and 3.

Example 4 : Quartal harmony of C major scale on strings 4, 3 and 2.

This one starts from the III degree.

 Quartal harmony of C major scale on strings 4, 3 and 2.

Example 5 : Quartal harmony of C major scale on strings 3,2 and 1.

This example starts from the V degree.

Quartal harmony of C major scale on strings 3,2 and 1.

Adding a supplementary fourth | Four-note chords in fourths

Adding another fourth in addition to the three-note chords previously seen will help you to create more interesting chords. The added tone forms an interval of a tenth with the bass note. It can be considered as a redoubled third (We call a redoubled interval, a simple interval carried in its octave). This note can be b10 or 10 (major or minor third) depending on the harmonization.

Fourth chord 4 notes

Example 1 : Quartal harmonisation of the C major scale with four-note chords on strings 6, 5, 4  and 3.

Major scale in fourths 4 notes

Example 3 : Four-note chords on strings 5, 4, 3 and 2.

Major scale harmonized in fourths 4 notes

Example 4 : Chords on strings 4, 3, 2 and 1.

Major scale quartal harmonization

Adding a third - So what chord

The "so what chord" is a modern sounding voicing often used as an alternative to quartal voicings. It consists of a fourth chord (in its pure form) and a major third added on the top of the chord. In other words, three perfect fourths and a major third are stacked. The origin of its name would be due to its use by Bill Evans in the head of "So what" by Miles Davis.

Here is an illustration of the "so what" chord. This one can be named Em7add11.

So what chord

Em7add11 E A D G B
Intervals 1 11 (4) b7 b3 5

"So what" guitar chord diagram

Bar at the 7th fret with your first finger, put your second finger on the 2nd string at the 9th fret and you get the Em7add11 chord.

So what guitar chord diagram

The "So what chord" is identical to the standard tuning of the five lowest strings of the guitar. (E-A-D-G-B). Some teachers and music methods named this chord m11 but theoretically m11 chords must contain a 9. That is not the case here, so what chords are made up of  1, 4, b7, b3 and 11. It is preferable to name them m7add11.

So What - Miles Davis - Guitar transcription

So what, by Miles Davis, from the best selling jazz album of all times (Kind of blue) is surely one of the most popular modal jazz tunes. It is an AABA form centered around the D dorian mode and modulating from Dm to Ebm. Chord progression consists of 16 bars of Dm7, 8 bars of Ebm7, and 8 bars of Dm7. It is fairly simple to play, to understand because there are no harmonic progressions, this is the principle of modal tunes.

First, the theme is played by the bass and then the two "So what chords" are played by the pianist (Bill Evans). Once you have mastered this, you have to play the same lines and chords a half-step up (Ebm). This way Em7add11 becomes Fm7add11 and Dm7add11 becomes Ebm7add11.

So what - miles davis

 

Impressions - John Coltrane - McCoy Tyner piano comping arranged for guitar

There are other examples of "So what chords" in "Impressions" by John Coltrane. McCoy Tyner was fond of this quartal harmonization. The chord progression is the same as "So what" (16 bars of Dm7, 8 bars of E♭m7, and 8 bars of Dm7). There are many ideas of comping to pick up, so listen carefully and try to transcribe them. For the time, here are three examples using "So what chords" taking  from "Impressions".

Example # 1 :

Impressions fourths chords -  Mc Coy Tyner

Example # 2 : A Fmaj7 is added between Dm7add11 and Em7add11. You can visit this page to see how to play major seventh chords on the guitar.

Impressions - So what chords comping

Example # 3 : Here are the chords of the B section. 

Impressions chord comping john coltrane

Impressions - John Coltrane

 

Tracklisting 

A1 India 13:52
A2 Up 'Gainst The Wall 3:12
B1 Impressions 14:40
B2 After The Rain 4:07

 

  • Bass – Jimmy Garrison, Reggie Workman (tracks: A1)
  • Bass Clarinet – Eric Dolphy (tracks: A1)
  • Composed By – John Coltrane
  • Design [Cover] – Robert Flynn (2), Viceroy (2)
  • Design [Liner] – Joe Lebow
  • Drums – Elvin Jones (tracks: A1 to B1), Roy Haynes (tracks: B2)
  • Mastered By – RUDY VAN GELDER*
  • Photography By [Cover And Liner Photos] – Joe Alper
  • Piano – McCoy Tyner
  • Producer – Bob Thiele
  • Soprano Saxophone – John Coltrane (tracks: A1)
  • Tenor Saxophone – John Coltrane (tracks: A2 to B2)

Source / Discogs

Impressions - Backing tracks

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