Sixth chord

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The term sixth chord refers to two different kinds of chord, the first in classical music and the second in modern popular music. [1] [2]

Contents

The original meaning of the term is a chord in first inversion , in other words with its third in the bass and its root a sixth above it. This is how the term is still used in classical music today, and in this sense it is called also a chord of the sixth. [3]

In modern popular music, a sixth chord is any triad with an added sixth above the root as a chord factor. [4] This was traditionally (and in classical music is still today) called an added sixth chord or triad with added sixth [5] since Jean-Philippe Rameau (sixte ajoutée) in the 18th century. It is not common to designate chord inversions in popular music, so there is no need for a term designating the first inversion of a chord, and so the term sixth chord in popular music is a short way of saying added sixth chord. There are three main types of added sixth chords: major sixth, minor sixth and minor flat sixth.

Triad inversion

In early music, what is today called a sixth chord or first inversion in classical music was considered an autonomous harmonic entity with the root named by the bass, while it was later simply considered an inversion of a chord with the bass being the third (not the root) and the root being the sixth (not the bass). A first-inversion C major chord is shown below.

Sixth chord

Alternatively, rather than as a six three chord, the note may be analyzed as a suspension or appoggiatura, "first resolved and later... retained as a part of the chord, no resolution taking place." [6]

Sixth chord

The dominant chord's fifth may be substituted by the chord's sixth, analyzed as its thirteenth: [7]

Sixth chord

Added sixth chords

In jazz, what is called a sixth chord was traditionally called an "added sixth chord". As the name suggests, this is a triad with an added sixth interval.

Major sixth

The major sixth chord is a major triad and the additional sixth interval is major. For example, a major sixth chord built on C (denoted by C6, or CM6) consists of the notes C, E, G, and the added major sixth A.

Sixth chord

These are the same notes as those of an A minor seventh chord – whether such a chord should be regarded as an added sixth chord or a seventh depends on its context and harmonic function. To explain the analyses as added sixth chords, against common practice period theory, [8] provides the example of the final tonic chord of some popular music being traditionally analyzable as a "submediant six-five chord" (added sixth chords by popular terminology), or a first inversion seventh chord (possibly the dominant of the supertonic V/ii). According to the interval strengths of the added sixth chord, the root of the strongest interval of the chord in first inversion (CEGA), the perfect fifth (C–G), is the root (C).

Minor sixth

The minor sixth chord (sometimes: minor major sixth, or minor/major sixth) consists of a minor triad with a tone added a major sixth above the root. Thus in C, it contains the notes C, E, G, and A.

Sixth chord

This chord might be notated Cm6, CmM6, Cmin/maj6, Cmin(maj6), etc. Note that Cm6 has the same notes as F9 with the root omitted, i.e. the notes F (omitted), A, E, C, and G. These notes form a tetrad with several enharmonic equivalents: C–E–G–A might be written as Cm6, F9, F9 (no root), Am75, B79, AMaj79, or Balt. Many jazz chord charts use these chord notations indiscriminately, particularly in the choice of minor sixth versus dominant ninth chords. Thus, in some cases when a Cm6 is indicated, the F9 is in fact a better harmonic choice, i.e. closer to the composer's harmonic intent; or vice versa. Analysis of the movement of the root, in the presence of dominant-functioning harmonies, will generally indicate which enharmonic chord is the appropriate notation choice. In some cases, the harmony is ambiguous.

Just like the minor is to the major, the minor sixth can be considered to be similarly related to the dominant seventh. Symmetrical otonal utonal chords.svg
Just like the minor is to the major, the minor sixth can be considered to be similarly related to the dominant seventh.

Unlike the major sixth chord which is often substituted for a major triad, the minor sixth is more versatile and plays a number of different harmonic roles due to its identity as an inversion of the half-diminished seventh chord. The presence of the perfect fifth interval over the root also means that this voicing is more stable than the half-diminished seventh chord. An extension of the concepts of major and minor to tetrads, referred to as otonality and utonality respectively, considers this chord to be the utonality to the dominant seventh chord.

Minor flat sixth

The minor flat sixth chord is a minor triad and the additional sixth interval is minor, which is referred to as a flat sixth. Thus in C, it contains the notes C, E, G, and A.

Sixth chord

This chord might be notated Cm6. It also shares identity as an inversion of the major seventh chord.

Instances of the sixth chord crop up in popular music towards the end of the 19th century, for example in Johann Strauss II’s "The Blue Danube" waltz. [9] Richard Taruskin sees Strauss’s use of the added sixth chord as the “one stylistic idiosyncrasy… that went from him into the general idiom of European (or European-style) music, and that is the freedom with which the sixth degree of the scale is harmonized.” [10]

Johann Strauss II, the Blue Danube Waltz
Strauss Blue Danube Strauss Blue Danube.png
Strauss Blue Danube

The sixth chord was a common feature of the harmony of jazz and popular music during the entire twentieth century. One of the attractions of the chord is its tonal ambiguity. The harmony contains within it aspects that are both major and minor. Kurt Weill’s song "Mack the Knife" from the Threepenny Opera (1928) uses the chord from the start, resulting in "a sort of bitonality: A minor in the melody, C major in the harmony." [11]

The trombone riff that opens Glenn Miller’s "Tuxedo Junction" (1940) is a well-known example from the Swing era. [12] Later popular songs that feature sixth chords include: The Beatles' "She Loves You" (1963), [13] [14] "Help!" (1965) [15] and "The Fool on the Hill" (1967), [16] Arthur Kent and Sylvia Dee's "Bring Me Sunshine" (1968), [17] The Young Rascals' "Groovin'" (1967), Queen's "Bohemian Rhapsody" (1975), [18] Steely Dan's "Bad Sneakers" (1975) and Styx's "Babe" (1979).

In classical music

An unusual use of this chord at the start of a work occurs in Beethoven’s Piano Sonata in E major, Op 31 No. 3 (1802):

Beethoven Sonata in E, Op 31 No 3 opening
Beethoven Sonata in E, Op 31 No 3 opening Beethoven Sonata in E flat Op 31 No 3 opening.png
Beethoven Sonata in E, Op 31 No 3 opening

According to Denis Matthews, "the most striking moment in the sonata is its opening, where an ambiguous added-sixth chord on the subdominant resolves itself through a series of halting steps, rhythmically and harmonically, towards the tonic." [19]

In the opening section of his Fantasy-Overture, Romeo and Juliet , Tchaikovsky uses the minor added sixth chord to striking effect:

Tchaikovsky Romeo & Juliet bars 28-33
Tchaikovsky Romeo & Juliet bars 28-33 Tchaikowsky Romeo & Juliet bars 28-33 transposed.png
Tchaikovsky Romeo & Juliet bars 28-33

Debussy frequently used the sixth chord, for example in his piano prelude General Lavine-Eccentric (1913), whose idiom alludes to the popular idioms of cakewalk and ragtime of the early 1900s. The following passage "is in F major; its seeming pentatonicism (C–D–F–G–A) is found to be the outline of the tonic added sixth chord, plus the G as passing tone…" [20]

Debussy, from 'General Lavine - eccentric'
Debussy, from 'General Lavine - eccentric' General Lavine.png
Debussy, from 'General Lavine - eccentric'

Maurice Ravel’s 1920 ballet La Valse , which contains subtle echoes of the late 19th century Viennese Waltz, [21] incorporates added sixth chords in its harmony:

From Ravel, La Valse
From Ravel, La Valse From Ravel, La Valse 02.png
From Ravel, La Valse

The timeless, meditative closing bars of Gustav Mahler’s song "Abschied" from Das Lied von der Erde (1909) fully exploit the expressive power and ambiguity of the sixth chord. "The final sonority, the famous added-sixth chord, is particularly ingenious... because it fuses the two principal keys of Das Lied (A minor and C major)." [22]

Mahler, Das Lied von der Erde, final chord
Mahler, Das Lied von der Erde, final chord Mahler, Das Lied von der Erde, final chord.png
Mahler, Das Lied von der Erde, final chord

Alban Berg’s Violin Concerto (1935) ends with a "tonic triad of B flat, with added sixth [that] follows a harmonic progression found frequently in 1930s dance-band arrangements." [23] However, Richard Taruskin points out that Berg's "chord thus created, B flat, D, F, G had an important poetic resonance", as it echoes the ending of Mahler's "Abschied." [24] Stravinsky’s Symphony in Three Movements (1945) "incorporates elements of American popular music, most famously the final chord, a Hollywood added-sixth chord of ever there was one." [25] (Stravinsky himself later criticized his choice of the final D sixth chord as ‘commercial.’ [26] ) Messiaen’s "Louange à l’immortalité de Jésus", the final movement of his Quartet for the End of Time (1941) opens with a meditative theme "played entirely over a 6-4 chord with added sixth" [27]

Special kinds of sixth chords

The Neapolitan sixth is the first inversion of a major triad built on the flattened supertonic (second degree of the scale) – a Neapolitan sixth in C major, therefore, consists of the notes F, A, and D.

Sixth chord

There are a number of augmented sixth chords. Each of them has a major third and augmented sixth above the bass. When these are the only three notes present, the chord is an Italian sixth; when an augmented fourth is added above the bass, the chord is a French sixth; while adding a perfect fifth above the bass of an Italian sixth makes it a German sixth (the etymology of all these names is unclear). All usually have the Scale deg 6.svg (sixth degree of the scale, A in C major, for example) as the bass note – in this case, they tend to resolve to the dominant.

Sixth chord

Sixth factor

The sixth factor of a chord is six scale degrees above the root. Conventionally, the sixth is third in importance to the root, fifth, and third, being an added tone. It is generally not allowed as the root since that inversion resembles a seventh chord on the sixth rather than an added tone on the original note. In jazz chords and theory, the sixth is required due to it being an added tone.

The quality of the sixth may be determined by the scale or may be indicated. For example, in a major scale, a diatonic sixth added to the tonic chord will be major (C–E–G–A) while in minor it will be minor (C–E–G–A).

The sixth is octave equivalent to the thirteenth. If one could cut out the notes in between the fifth and the thirteenth and then drop the thirteenth down an octave to a sixth, one would have an added sixth chord (C–E–G–B–D′–F′–A′ minus B–D′–F′ = C–E–G–A).

See also

Related Research Articles

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In music theory, a dominant seventh chord, or major minor seventh chord, is a seventh chord, usually built on the fifth degree of the major scale, and composed of a root, major third, perfect fifth, and minor seventh. Thus it is a major triad together with a minor seventh, denoted by the letter name of the chord root and a superscript "7". An example is the dominant seventh chord built on G, written as G7, having pitches G–B–D–F:

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The harmonic minor scale is a musical scale derived from the natural minor scale, with the minor seventh degree raised by one semitone to a major seventh, creating an augmented second between the sixth and seventh degrees.

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In music theory, an inversion is a type of change to intervals, chords, voices, and melodies. In each of these cases, "inversion" has a distinct but related meaning. The concept of inversion also plays an important role in musical set theory.

In music theory, Roman numeral analysis is a type of harmonic analysis in which chords are represented by Roman numerals, which encode the chord's degree and harmonic function within a given musical key.

Musicians use various kinds of chord names and symbols in different contexts to represent musical chords. In most genres of popular music, including jazz, pop, and rock, a chord name and its corresponding symbol typically indicate one or more of the following:

  1. the root note,
  2. the chord quality,
  3. whether the chord is a triad, seventh chord, or an extended chord,
  4. any altered notes,
  5. any added tones, and
  6. the bass note if it is not the root.

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