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Extended chord

In music, extended chords are tertian chords with notes beyond the seventh. Chords like the Ninth, eleventh, and thirteenth chords are extended chords. The thirteenth is the farthest extension diatonically possible as, by that point, all seven tonal degrees are represented within the chord. In practice, however, extended chords do not typically use all the chord members; when not altered, the fifth is often omitted, as are notes between the seventh and the highest note, unless they are altered to give a special texture.

History
Classical music as resulting from the addition of a ninth below a (dominant) seventh chord |175x175pxIn the 18th century, ninth and eleventh chords were theorized as downward extensions of seventh chords, according to theories of supposition. In 1722, Jean-Philippe Rameau first proposed the concept that ninth and eleventh chords are built from seventh chords by (the composer) placing a "supposed" bass one or two thirds below the fundamental bass or actual root of the chord. With the theoretical chord F–A–C–E–G–B the fundamental bass would be considered C, while the supposed bass would be F. The theory of supposition was adopted and modified by Pierre-Joseph Roussier, Friedrich Wilhelm Marpurg, and other theorists. A. F. C. Kollmann, following Johann Kirnberger, adopted a simpler approach and one closer to that prevalent today, in which Rameau's "supposed" bass is considered the fundamental and the ninth and eleventh are regarded as transient notes inessential to the structure of the chord.'s Ossa arida (1879), in, "a striking anticipation of twentieth-century harmonic experimentation". |175x175pxIn 19th century, the seventh chord was generally the upper limit in "chordal consonance", with ninth and eleventh chords being used for "extra power" but invariably with one or more notes treated as appoggiaturas. in thirds: C–E–G–B–D–F–A–C. |175x175px In the 20th century, especially in jazz and popular music, ninth chords were used as elaborations of simpler chords, particularly as substitutes for the tonic triad at the end of a piece. Jazz and funk Jazz from the 1930s onward, jazz fusion from the 1970s onward and funk all have been seen to use extended chords as a key part of their sound. In these genres, chords often include added ninths, elevenths and thirteenths as well as their altered variations. In jazz and jazz fusion, compositions consist of complex chord progressions in which many of the chords are extended chords and in which many of the dominant seventh chords are altered extended chords (e.g., A7add911 or D7911). Funk also uses altered extended chords, but in this genre, pieces are usually based on a vamp on a single chord, because rhythm and groove are the key elements of the style. When extended chords are voiced in jazz or jazz fusion, the root and fifth are often omitted from the chord voicing, because the root is played by the bass player. ==Chord structure==
Chord structure
Building on each of the major scale degrees the thirteenth chord chord quality that is harmonic to such scale (i.e. with all its notes belonging to such scale), results in the following table. The numbering is relative to the scale degree numbers of the major scale that has the major scale degree in question as tonic: : Other thirteenth chord qualities do exist but they do not belong to any mode of the major scale. From the table it is clear that adding an eleventh or a thirteenth makes the seven chord qualities distinguishable from each other, as without an eleventh added the I and IV chord quality would be identical, and without a thirteenth added the ii and vi chord quality would be identical. ==See also==
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