Sixth chord
Encyclopedia
A sixth chord may be any of several kinds of chord
Chord (music)
A chord in music is any harmonic set of two–three or more notes that is heard as if sounding simultaneously. These need not actually be played together: arpeggios and broken chords may for many practical and theoretical purposes be understood as chords...

 depending on the use of the term in classical music
Classical music
Classical music is the art music produced in, or rooted in, the traditions of Western liturgical and secular music, encompassing a broad period from roughly the 11th century to present times...

 and popular music
Popular music
Popular music belongs to any of a number of musical genres "having wide appeal" and is typically distributed to large audiences through the music industry. It stands in contrast to both art music and traditional music, which are typically disseminated academically or orally to smaller, local...

. The original meaning of the term is a chord in first inversion, in other words with its third
Third (chord)
In music, the third factor of a chord is the note or pitch two scale degrees above the root or tonal center. When the third is the bass note, or lowest note, of the expressed triad, the chord is in first inversion ....

 in the bass
Bass note
In music theory, the bass note of a chord or sonority is the lowest note played or notated. If there are multiple voices it is the note played or notated in the lowest voice. While the bass note is often the root or fundamental of the chord, it does not have to be, and sometimes one of the other...

 and its root
Root (chord)
In music theory, the root of a chord is the note or pitch upon which a triadic chord is built. For example, the root of the major triad C-E-G is C....

 a sixth
Interval (music)
In music theory, an interval is a combination of two notes, or the ratio between their frequencies. Two-note combinations are also called dyads...

 above it. This is how the term is still used in classical music today, and in this sense it is also called a chord of the sixth.

In modern popular music, a sixth chord is any triad with an added sixth above the root as a chord factor
Factor (chord)
In music, a factor or chord factor is a member or component of a chord. These are named root, third, fifth, sixth, seventh, ninth, eleventh, thirteenth, and so on, for their generic interval above the root....

. This was traditionally (and in classical music is still today) called an added sixth chord
Added tone chord
An added tone chord is a non-tertian chord composed of a tertian triad and an extra "added" note. The added note is not a seventh , but typically a non-tertian note, which cannot be defined by a sequence of thirds from the root, such as the added sixth or fourth...

or triad with added sixth since Jean-Philippe Rameau
Jean-Philippe Rameau
Jean-Philippe Rameau was one of the most important French composers and music theorists of the Baroque era. He replaced Jean-Baptiste Lully as the dominant composer of French opera and is also considered the leading French composer for the harpsichord of his time, alongside François...

 (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 can be used in popular music as a short way of saying added sixth chord. When not otherwise specified, it usually means a major triad with an added major sixth
Major sixth
In classical music from Western culture, a sixth is a musical interval encompassing six staff positions , and the major sixth is one of two commonly occurring sixths. It is qualified as major because it is the largest of the two...

 interval (a major sixth chord). However, a minor triad is also used, together with the same interval, resulting in a minor sixth chord (also known as minor major sixth).

History

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). In jazz, this form is referred to as a major sixth chord.
Alternatively, rather than as a six three chord, the note a may be analyzed as a suspension or appoggiatura, "first resolved and later...retained as a part of the chord, no resolution taking place.":
The dominant chord's fifth may be substituted by the chord's sixth, analyzed as its thirteenth:

In popular music

What in popular music is called a sixth chord was traditionally called an "added sixth chord
Added tone chord
An added tone chord is a non-tertian chord composed of a tertian triad and an extra "added" note. The added note is not a seventh , but typically a non-tertian note, which cannot be defined by a sequence of thirds from the root, such as the added sixth or fourth...

". As the name suggests, this is a triad with an added sixth interval. It is generally built on the sub-dominant note (fourth scale degree), although it can be built on any note. Typically, the triad is a major triad and the additional sixth interval is major
Major sixth
In classical music from Western culture, a sixth is a musical interval encompassing six staff positions , and the major sixth is one of two commonly occurring sixths. It is qualified as major because it is the largest of the two...

 (major sixth chord). 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 . 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
Common practice period
The common practice period, in the history of Western art music , spanning the Baroque, Classical, and Romantic periods, lasted from c. 1600 to c. 1900.-General characteristics:...

 theory, 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 mediant V/iii). 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 bottom (C), the tonic.
In jazz, the minor sixth chord (sometimes: minor major sixth, or minor/major sixth) is frequently used. It is unlike the major sixth chord, which is often substituted for a major triad; the minor sixth plays a number of different harmonic roles. The chord consists of a minor triad with a tone added a major sixth above the root; thus in C, it would contain the notes C, E, G, and A. This chord might be notated Cm6, Cm/M6, 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
Tetrad (music)
A tetrad is a set of four notes in music theory. When these four notes form a tertian chord they are more specifically called a seventh chord, after the diatonic interval from the root of the chord to its fourth note...

 with several enharmonic
Enharmonic
In modern musical notation and tuning, an enharmonic equivalent is a note , interval , or key signature which is equivalent to some other note, interval, or key signature, but "spelled", or named, differently...

 equivalents: C/E/G/A might be written as Cm6, F9, F9 (no root), Am75, B79, or B-alt. 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 tone, and the present of dominant harmonies, will generally indicate which enharmonic
Enharmonic
In modern musical notation and tuning, an enharmonic equivalent is a note , interval , or key signature which is equivalent to some other note, interval, or key signature, but "spelled", or named, differently...

 chord is the appropriate notation choice. In some cases, the harmony is ambiguous.

Special kinds of sixth chords

The Neapolitan sixth
Neapolitan chord
In music theory, a Neapolitan chord is a major chord built on the lowered second scale degree. It most commonly occurs in first inversion so that it is notated either as II6 or N6 and normally referred to as a Neapolitan sixth chord...

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.

There are a number of augmented sixth chords
Augmented sixth chord
In music theory, an augmented sixth chord contains the interval of an augmented sixth above its "root" or bass tone . This chord has its origins in the Renaissance, further developed in the Baroque, and became a distinctive part of the musical style of the Classical and Romantic periods.-Resolution...

. 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 flattened sub-mediant (sixth degree of the scale, A flat in C major, for example) as the bass note -in this case, they tend to resolve to the dominant.

Sixth, sixth chord, and added sixth

In music
Music
Music is an art form whose medium is sound and silence. Its common elements are pitch , rhythm , dynamics, and the sonic qualities of timbre and texture...

, the sixth factor
Factor (chord)
In music, a factor or chord factor is a member or component of a chord. These are named root, third, fifth, sixth, seventh, ninth, eleventh, thirteenth, and so on, for their generic interval above the root....

 of a chord
Chord (music)
A chord in music is any harmonic set of two–three or more notes that is heard as if sounding simultaneously. These need not actually be played together: arpeggios and broken chords may for many practical and theoretical purposes be understood as chords...

 is the note or pitch
Pitch (music)
Pitch is an auditory perceptual property that allows the ordering of sounds on a frequency-related scale.Pitches are compared as "higher" and "lower" in the sense associated with musical melodies,...

 six scale degrees above the root
Root (chord)
In music theory, the root of a chord is the note or pitch upon which a triadic chord is built. For example, the root of the major triad C-E-G is C....

 or tonal
Tonality
Tonality is a system of music in which specific hierarchical pitch relationships are based on a key "center", or tonic. The term tonalité originated with Alexandre-Étienne Choron and was borrowed by François-Joseph Fétis in 1840...

 center (see sixth chord). When the sixth is the bass note
Bass note
In music theory, the bass note of a chord or sonority is the lowest note played or notated. If there are multiple voices it is the note played or notated in the lowest voice. While the bass note is often the root or fundamental of the chord, it does not have to be, and sometimes one of the other...

, or lowest note, of the expressed chord, the chord is in third inversion . However, this is equivalent to a seventh chord
Seventh chord
A seventh chord is a chord consisting of a triad plus a note forming an interval of a seventh above the chord's root. When not otherwise specified, a "seventh chord" usually means a major triad with an added minor seventh...

.

Conventionally, the sixth is third in importance to the root, fifth
Fifth (chord)
In music, the fifth factor of a chord is the note or pitch five scale degrees above the root or tonal center. When the fifth is the bass note, or lowest note, of the expressed chord, the chord is in second inversion ....

, 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 its being an added tone.

The quality
Major and minor
In Western music, the adjectives major and minor can describe a musical composition, movement, section, scale, key, chord, or interval.Major and minor are frequently referred to in the titles of classical compositions, especially in reference to the key of a piece.-Intervals and chords:With regard...

 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
Octave
In music, an octave is the interval between one musical pitch and another with half or double its frequency. The octave relationship is a natural phenomenon that has been referred to as the "basic miracle of music", the use of which is "common in most musical systems"...

 equivalent to the thirteenth
Thirteenth
In music or music theory, a thirteenth is the interval between the sixth and first scale degrees when the sixth is transposed up an octave, creating a compound sixth, or thirteenth. The thirteenth is most commonly major or minor ....

. 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 (CEGBD'F'A' – BD'F' = CEGA).
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