Coltrane changes

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Coltrane changes (Coltrane Matrix or cycle, also known as chromatic third relations and multi-tonic changes) are a harmonic progression variation using substitute chords over common jazz chord progressions. These substitution patterns were first demonstrated by jazz musician John Coltrane on the albums Bags & Trane (on the track "Three Little Words") and Cannonball Adderley Quintet in Chicago (on "Limehouse Blues"). [1] Coltrane continued his explorations on the 1960 album Giant Steps and expanded on the substitution cycle in his compositions "Giant Steps" and "Countdown", the latter of which is a reharmonized version of Eddie Vinson's "Tune Up". The Coltrane changes are a standard advanced harmonic substitution used in jazz improvisation.

Contents

Function

The changes serve as a pattern of chord substitutions for the ii–V–I progression (supertonicdominanttonic) Play and are noted for the tonally unusual root movement by major thirds (either up or down by a major third interval), creating an augmented triad. Root movement by thirds is unusual in jazz, as the norm is circle of fifths root movement, such as ii-V-I.[ citation needed ]

Influences

David Demsey, saxophonist and coordinator of jazz studies at William Paterson University, cites a number of influences leading to Coltrane's development of these changes. After Coltrane's death it was proposed that his "preoccupation with...chromatic third-relations" was inspired by religion or spirituality, with three equal key areas having numerological significance representing a "magic triangle", or, "the trinity, God, or unity." [2] However, Demsey shows that though this meaning was of some importance, third relationships were much more "earthly", or rather historical, in origin. Mention should be made of his interests in Indian ragas during the early 1960s, the Trimurti of Vishnu, Brahma and Shiva may well have been an inherent reference in his chromatic third relations, tritone substitutes, and so on. [2] In playing that style, Coltrane found it "easy to apply the harmonic ideas I had.... I started experimenting because I was striving for more individual development." [3] He developed his sheets of sound style while playing with Miles Davis and with pianist Thelonious Monk during this period. [4] In terms of the origin of this “sheets of sound” technique, saxophonist Odean Pope considers pianist Hasaan Ibn Ali a major influence on Coltrane and his development of this signature style. [5]

Coltrane studied harmony with Dennis Sandole and at the Granoff School of Music in Philadelphia. He explored contemporary techniques and theory. He also studied the Thesaurus of Scales and Melodic Patterns by Nicolas Slonimsky (1947). [6]

Coltrane substitution

ii-V -I progression in C lasting only two measures Play. Ii-V-I turnaround in C.png
ii–V –I progression in C lasting only two measures Play .

The Coltrane substitution, Coltrane changes, or Countdown formula, is as follows. Start with a ii–V–I turnaround lasting four measures:

ii7V7II
Dm7G7CC

with the dominant chord (V7) preceding the tonic (I).

One substitutes two chords for each of the first three: [10]

ii7V7I
Dm7E7AB7EG7C
╲╱
m2
╲╱
P4
╲╱
m3
╲╱
P4
╲╱
m3
╲╱
P4

Notice a dominant seventh chord preceding and thus tonicizing a major chord on C and also E and A, both a major third from C.

V7IV7IV7I
E7AB7EG7C
Four-measure ii-V-I progression in C with Coltrane substitution Play. Coltrane changes.png
Four-measure ii–V–I progression in C with Coltrane substitution Play .

This also may begin on C, as on "Giant Steps", giving:

CE7AB7EG7C
╲╱
m3
╲╱
P4
╲╱
m3
╲╱
P4
╲╱
m3
╲╱
P4

Major thirds cycle

The harmonic use of the chromatic third relation originated in the Romantic era and may occur on any structural level, for example in chord progressions or through key changes. [11] The standard Western chromatic scale has twelve equidistant semitones. [12] When arranged according to the circle of fifths, it looks like this:

Fifths.png

Precisely because of this equidistancy, the roots of these three chords can produce a destabilizing effect; if C, A and E appear as the tonic pitches of three key areas on a larger level, the identity of the composition's tonal center can only be determined by the closure of the composition.

Demsey (1991) [11]

Looking above at the marked chords from "Have You Met Miss Jones?", B, G and D are spaced a major third apart. On the circle of fifths it appears as an equilateral triangle:

Thirds cycle.png

By rotating the triangle, all of the thirds cycles can be shown. Note that there are only four unique thirds cycles. This approach can be generalized; different interval cycles will appear as different polygons on the diagram.

Musical examples

Tune Up

These are the first eight bars of the Miles Davis composition "Tune Up".[ citation needed ] The chord changes are relatively simple, a straightforward application of the ii–V–I progression, which is extremely common in jazz.

iiVIiiVI
Em7A7DMaj7DMaj7Dm7G7CMaj7CMaj7

Countdown

The changes below show Coltrane's substitution of chord changes over "Tune Up". The ii–V–I progression from "Tune Up" still appears but is enhanced with several transition chords that lead to a more complex harmonic progression.

iiVIiiVI
Em7F7BMaj7D7GMaj7A7DMaj7 Dm7E7AMaj7B7EMaj7G7CMaj7 [ citation needed ]

Giant Steps

The "Giant Steps" cycle is the culmination of Coltrane's theories applied to a completely new chord progression. Coltrane uses the cycle in descending major third tonal transpositions in the opening bars and then ascending ii–V–I progressions separated by a major third in the second section of "Giant Steps". The second section is basically the inverse of the bridge section described in "Have You Met Miss Jones" above.

IColtrane substitution cycleiiVIColtrane substitution cycle
BMaj7D7GMaj7B7EMaj7 Am7D7GMaj7B7EMaj7F7BMaj7 [ citation needed ]
The structure of "Giant Steps" as shown on the circle of fifths. Giant Steps Visualized on the Circle of Fifths.svg
The structure of "Giant Steps" as shown on the circle of fifths.

Ascending/descending ii–V–I progression separated by a major third (tonal centers E, G, B, E, B)

iiVIiiVIiiVIiiVIiiV
Fm7B7EMaj7 Am7D7GMaj7 Cm7F7BMaj7 Fm7B7EMaj7 Cm7F7[ citation needed ]

This table shows which scales are used for the different chords:

ChordsScaleChange in scale
BMaj7B majorI
D7 → GMaj7G majorV-I
B7 → EMaj7E majorV-I
Am7 → D7 → GMaj7G majorii-V-I
B7 → EMaj7E majorV-I
F7 → BMaj7B majorV-I
Fm7 → B7 → EMaj7E majorii-V-I
Am7 → D7 → GMaj7G majorii-V-I
Cm7 → F7 → BMaj7B majorii-V-I
Fm7 → B7 → EMaj7E majorii-V-I
Cm7 → F7B majorii-V

Standard substitution

Although "Giant Steps" and "Countdown" are perhaps the most famous examples, both of these compositions use slight variants of the standard Coltrane changes (The first eight bars of "Giant Steps" uses a shortened version that does not return to the I chord, and in "Countdown" the progression begins on ii7 each time.) The standard substitution can be found in several Coltrane compositions and arrangements recorded around this time. These include: "26-2" (a reharmonization of Charlie Parker's "Confirmation"), "Satellite" (based on the standard "How High the Moon"), "Exotica" (loosely based on the harmonic form of "I Can't Get Started"), Coltrane's arrangement of "But Not for Me", and on the bridge of his arrangement of "Body and Soul".[ citation needed ]

In "Fifth House" (based on "Hot House", i.e. "What Is This Thing Called Love") the standard substitution is implied over an ostinato bass pattern with no chordal instrument instructed to play the chord changes. When Coltrane's improvisation superimposes this progression over the ostinato bass, it is easy to hear how he used this concept for his more free playing in later years.

See also

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References

  1. Porter, Lewis (January 28, 2000). John Coltrane: His Life and Music. Ann Arbor, Michigan: University of Michigan Press. p. 151. ISBN   978-0-472-08643-6.
  2. 1 2 Demsey, David (1996). John Coltrane plays Giant steps. Milwaukee, Wisconsin: Hal Leonard. p. 145. ISBN   0-7935-6345-3.
  3. Demsey, David (1991). "Chromatic Third Relations in the Music of John Coltrane". Annual Review of Jazz Studies. 5: 158. ISBN   0-8108-2478-7.
  4. Ruhlmann, William. "John Coltrane". AllMusic. Retrieved 21 December 2018.
  5. Porter, Lewis; DeVito, Chris; Wild, David (26 April 2013). The John Coltrane Reference. Routledge. pp. 103–. ISBN   978-1-135-09794-3.
  6. Porter, Lewis (2000). John Coltrane: His Life and Music. Ann Arbor, Michigan: University of Michigan Press. p. 149. ISBN   978-0-472-08643-6.
  7. Kern, Jerome (1967). Till the Clouds Roll By (PDF) (sheet music). New York City: T. B. Harms. p. 3.
  8. Lyon, Jason (2007). "Coltrane's Substitution Tunes", in www.opus28.co.uk/jazzarticles.html.
  9. Christiansen, Corey (2007). "Coltrane-Style II–V–Is", Guitar Player Jun; 41, 6.
  10. Baker, David (1990). David Baker's Modern Concepts in Jazz Improvisation: A Comprehensive Method for All Musicians. Alfred Publishing. pp. 92–93. ISBN   0-7390-2907-X.
  11. 1 2 Demsey (1991), p.146-147.
  12. Proctor, Gregory (1978). Nineteenth-Century Chromatic Tonality: A Study in Chromaticism, p.150. Ph.D., Diss., Princeton. Cited in Demsey (1991), p.148.
  13. Porter, Lewis (1999). John Coltrane: His Life and Music. The University of Michigan Press. p. 147.

Further reading