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Ninth chord
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Ninth chord : ウィキペディア英語版
Ninth chord
In music theory, a ninth chord is a chord that encompasses the interval of a ninth when arranged in close position with the root in the bass.〔Sadie, Stanley, ed. (1980). "Ninth chord", p.252, ''The New Grove Dictionary of Music and Musicians'', vol. 13. ISBN 1-56159-174-2.〕
==Dominant ninth==

There is a difference between a Major Ninth chord and a Dominant Ninth chord. A dominant ninth is a dominant chord (and minor 7th) with a ninth. A major ninth chord (e.g., Cmaj9), as an extended chord, adds the major seventh along with the ninth to the major triad. Thus, a Cmaj9 consists of C E G B and D . When the symbol "9" is not preceded by the word "major" or "maj" (e.g., C9), the chord is a Dominant 9th. That is, the implied seventh chord is a dominant seventh, i.e. a major triad plus the minor seventh, to which the ninth is add: e.g., a C9 consists of C E G B and D . C Dominant Ninth (C9) would usually be expected to resolve to an F major chord (the implied key, C being the dominant of F). The ninth is commonly chromatically altered by half-step either up or down to create more tension and dissonance. Fétis tuned the chord 4:5:6:7:9.〔Fétis, François-Joseph and Arlin, Mary I. (1994). ''Esquisse de l'histoire de l'harmonie'', p.139n9. ISBN 978-0-945193-51-7.〕
In the common practice period, "the root, 3rd, 7th, and 9th are the most common factors present in the V9 chord," with the 5th, "typically omitted".〔Benward & Saker (2009). Music in Theory and Practice: Volume II, p.183-84. Eighth Edition. ISBN 978-0-07-310188-0.〕 The 9th and 7th usually resolve downward to the 5th and 3rd of I.〔
Example of tonic dominant ninth chords include Bobby Gentry's "Ode to Billie Joe" and Wild Cherry's "Play That Funky Music".〔Stephenson, Ken (2002). ''What to Listen for in Rock: A Stylistic Analysis'', p.83. ISBN 978-0-300-09239-4.〕 James Brown's "I Got You (I Feel Good)" features a striking dominant 9th arpeggio played staccato at the end of the opening 12-bar sequence.〔https://www.youtube.com/watch?v=PJqKkZ1VVMk〕 The opening phrase of Chopin’s well-known Minute Waltz climaxes on a dominant 9th chord:〔https://www.youtube.com/watch?v=XoozTsNDUno〕César Franck’s Violin Sonata in A Major opens with a dominant ninth chord (E9) in the piano part.〔https://www.youtube.com/watch?v=DIlPaqmcklk〕 When the violin enters in the fifth bar, its melody articulates an arpeggio of this chord.Debussy’s ‘Hommage à Rameau', the second of his first Book of ''Images'' for piano solo climaxes powerfully on a dominant 9th,〔This can be heard at 3:57 on a recording by Michaelangeli https://www.youtube.com/watch?v=tpOuSc9WApk〕 expressed both as a chord and as a wide-ranging arpeggio:
The starting point of Karlheinz Stockhausen’s piece for vocal sextet, ''Stimmung'' (1968) is a chord consisting of the notes B flat, F, B flat, D, A flat and C. According to Cook (1987, p.370),〔Cook, N., A Guide to Musical Analysis, London, J.M.Dent,〕 ''Stimmung'' could, in terms of conventional tonal harmony, be viewed as ‘simply a dominant ninth chord that is subject to timbral variation. The notes the performers sing are harmonics 2, 3, 4, 5, 7, and 9 of the implied but absent fundamental—the B flat below the bass clef.’

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