Ninth chord

Major ninth
Component intervals from root
	major ninth
	major seventh
	perfect fifth
	major third
	root
Tuning
	8:10:12:15:18
Forte no. / Complement
	5-27 / 7-27

Minor ninth
Component intervals from root
	major ninth
	minor seventh
	perfect fifth
	minor third
	root
Tuning
	20:24:30:36:45
Forte no. / Complement
	5-27 / 7-27

Dominant minor ninth
Component intervals from root
	minor ninth
	minor seventh
	perfect fifth
	major third
	root
Tuning
	8:10:12:14:17
Forte no. / Complement
	5-31 / 7-31

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.^[1]

The ninth chord and its inversions exist today, or at least they can exist. The pupil will easily find examples in the literature [such as Schoenberg's Verklärte Nacht and Strauss's opera Salome]. It is not necessary to set up special laws for its treatment. If one wants to be careful, one will be able to use the laws that pertain to the seventh chords: that is, dissonances resolve by step downward, the root leaps a fourth upward.
— Arnold Schoenberg (1948)^[2]

Heinrich Schenker and also Nikolai Rimsky-Korsakov allowed the substitution of the dominant seventh, leading-tone, and leading tone half-diminished seventh chords, but rejected the concept of a ninth chord on the basis that only that on the fifth scale degree (V⁹) was admitted and that inversion was not allowed of the ninth chord.^[3]^[4]

Dominant ninth

Ninth (C9) vs added-ninth chord (Cadd9), distinguished, in academic textbooks and jazz & rock sheet music, by the presence or absence of a seventh.^[6]

Major ninth chord on C

Dominant ninth chord on C

Problems playing these files? See media help.

There is a difference between a major ninth chord and a dominant ninth chord. A dominant ninth is the combination of a dominant chord (with a minor seventh) and a major 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 ninth. That is, the implied seventh chord is a dominant seventh, i.e. a major triad plus the minor seventh, to which the ninth is added: 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.^[8]

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".^[5] The ninth and seventh usually resolve downward to the fifth and third of I.^[5]

Example of tonic dominant ninth chords include Bobbie Gentry's "Ode to Billie Joe" and Wild Cherry's "Play That Funky Music".^[9] 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. The opening phrase of Chopin's well-known "Minute Waltz" climaxes on a dominant 9th chord:

Chopin Waltz in D♭, Op. 64, No. 1

César Franck's Violin Sonata in A Major opens with a dominant ninth chord (E⁹) in the piano part. When the violin enters in the fifth bar, its melody articulates an arpeggio of this chord.

Cesar Franck Violin Sonata in A major, opening bars

Debussy's "Hommage a Rameau", the second of his first Book of Images for piano solo climaxes powerfully on a dominant 9th, expressed both as a chord and as a wide-ranging arpeggio:

Debussy, from Hommage a Rameau

The starting point of Karlheinz Stockhausen's piece for vocal sextet, Stimmung (1968)^[10] is a chord consisting of the notes B♭, F, B♭, D, A♭ and C.^[11] According to Nicholas Cook,^[12] 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."

Dominant minor ninth

(Dominant minor ninth chord on C)

A dominant minor ninth chord consists of a dominant seventh chord and a minor ninth. In C: C E G B♭ D♭. Fétis tuned the chord 8:10:12:14:17.^[8] In notation for jazz and popular music, this chord is often denoted, e.g., C^7♭9. In Schubert's Erlkönig, a terrified child calls out to his father when he sees an apparition of the sinister Elf King. The dissonant voicing of the dominant minor ninth chord used here (C^7♭9) is particularly effective in heightening the drama and sense of threat.

The chord of the ninth ... is merely an additional note added to the chord of the flat seventh, which in the ... minor mode a semitone above the eighth. In the latter case it is called the flat ninth, and is used in the minor keys almost as frequently as the flat seventh is in the major keys; but as its effect on the ear, when the fundamental tone or root is used, is rather harsh, its inversions alone are generally used. This latter chord, when occasionally changed enharmonically for the purpose of making sudden transitions or modulations into distant keys, gratifies the ear more than any other chord.
— John Smith (1853)^[13]

$<< \new ChordNames \chordmode {s2 s2 c1:7.9-} {\new Voice ="mel" {\key aes \major \time 4/4 r2 r4 c'' des''2 des''4. des''8 des'' c'' c''4 }} \new Lyrics {\lyricsto "mel" {Mein Va -- ter, mein Va -- ter __}} \new GrandStaff << \new Staff {\key aes \major \time 4/4 \tuplet 3/2 {r8 <c' c''> <c' c''>} \tuplet 3/2 {<c' c''> \f <c' c''> <c' c''>} \tuplet 3/2 {<c' c''> <c' c''> <c' c''>} \tuplet 3/2 {<c' c''> <c' c''> <c' c''>} \tuplet 3/2 {<c' c''> <c' c''> <c' c''>} \tuplet 3/2 {<c' c''> <c' c''> <c' c''>} \tuplet 3/2 {<c' c''> <c' c''> <c' c''>} \tuplet 3/2 {<c' c''> <c' c''> <c' c''>} \tuplet 3/2 {<c' c''> <c' c''> <c' c''>} \tuplet 3/2 {<c' c''> <c' c''> <c' c''>}} \new Staff {\clef bass \key aes \major \time 4/4 <aes,, aes,>4 r r <a, a>(<bes, bes>2) <g, g> <e, e>} >> >>$

(Excerpt from Schubert's Erlkönig – Link to passage)

Writing about this passage, Taruskin (2010, p. 149) remarks on the

unprecedented ... level of dissonance at the boy's outcries ... The voice has the ninth, pitched above, and the left hand has the seventh, pitched below. The result is a virtual 'tone cluster' ... the harmonic logic of these progressions, within the rules of composition Schubert was taught, can certainly be demonstrated. That logic, however, is not what appeals so strongly to the listener's imagination; rather it is the calculated impression (or illusion) of wild abandon.^[14]

$<< \new ChordNames { <a' c'' e''>1 <d' fis' a' c'' es''>1 <g' b' d''>2 } \new Staff { \relative c''' { \key g \major \time 4/4 \tempo 4 = 150 \set Score.tempoHideNote = ##t b4 a4 g4 e4 | es4 a2 b4 | g2 } \addlyrics { All I want for Christ -- mas is you } } >>$

(Excerpt from Mariah Carey – All I want for Christmas is You)

Minor ninth

(A minor ninth chord)

The minor ninth chord consists of a minor seventh chord and a major ninth. The formula is 1, ♭3, 5, ♭7, 9. This chord is written as Am⁹. This chord has a more "bluesy" sound and fits very well with the dominant ninth.

Major ninth

Notable examples

"Wedding Day at Troldhaugen" (Edvard Grieg)
"In una stanza con poca luce" (Ennio Morricone: Once Upon a Time in the West soundtrack no. 18)

The major ninth chord consists of a major seventh chord and a major ninth. The formula is 1, 3, 5, 7, 9. This chord is written as Cmaj9.

Relation to other chords with the ninth

The 6/9 chord is a pentad with a major triad joined by a sixth and ninth above the root, but no seventh. For example, C^6/9 is C–E–G–A–D. It is not a tense chord requiring resolution, and is considered a substitute for the tonic in jazz. The minor 6/9 chord is a minor triad with an added 6th and 9th, evoking the Dorian mode, and is also suitable as a minor tonic in jazz.^[17]

The second degree is octave equivalent to the ninth. The ninth chord could be alternatively notated as seventh added second chord (C^7add2), from where omitting the 3rd produces the seventh suspended second chord (C^7sus2).

An add9 chord, or added ninth chord, is any chord with an added ninth – C^add9 consists of C, E, G and D, Cm^add9 consists of C, E flat, G, and D, Cdim^add9 consists of C, E flat, G flat, and D, etc. Added ninth chords differ from other ninth chords because the seventh is not necessarily included. An add9 can also be added to an interval, like a C5, resulting in a C5^add9 chord which consists of C and G (C5) with D as an added 9 (C, G, D). Note that if the note is within an octave from the root, it is a second, not a ninth. In the case of C, D, G, within a fifth rather than spanning a ninth, this is a C^sus2 chord, where the second, D, replaces the third, E (C, D, G instead of C, E, G).

References

^ Sadie, Stanley, ed. (1980). "Ninth chord", p. 252, The New Grove Dictionary of Music and Musicians, vol. 13. ISBN 1-56159-174-2.
^ ^a ^b Schoenberg, Arnold (1910). Theory of Harmony, pp. 346–347. University of California Press. First published in German as Harmonielehre in 1910. ISBN 9780520049444. Roman numeral analysis and arrows not included in the original.
^ Schenker, Heinrich (1980). Harmony, p. 190. ISBN 978-0-226-73734-8.
^ Nikolai Rimsky-Korsakov Practical Manual of Harmony / Ukrainian edition - Kyiv, 1948. - p.52
^ ^a ^b ^c Benward, Bruce; Saker, Marilyn (2009). Music in Theory and Practice. Vol. II (eighth ed.). pp. 183–184. ISBN 978-0-07-310188-0.
^ Stephenson, Ken (2002). What to Listen for in Rock: A Stylistic Analysis. p. 85. ISBN 978-0-300-09239-4.
^ Benward & Saker 2009, p. 179.
^ ^a ^b Fétis, François-Joseph and Arlin, Mary I. (1994). Esquisse de l'histoire de l'harmonie, p. 139n9. ISBN 978-0-945193-51-7.
^ Stephenson 2002, p. 83.
^ Stockhausen, Stimmung on YouTube
^ Stimmung, British Library
^ Cook, Nicholas (1987). A Guide to Musical Analysis. London: J. M. Dent. p. 370.
^ Smith, John (1853). A Treatise on the Theory and Practice of Music, p. 27. J. McGlashan. [ISBN unspecified].
^ Taruskin, R. (2010) The Oxford History of Western Music, Volume 4, Music in the Nineteenth Century, Oxford University Press.
^ Walter Everett (Autumn, 2004). "A Royal Scam: The Abstruse and Ironic Bop-Rock Harmony of Steely Dan", pp. 208–209, Music Theory Spectrum, vol. 26, no. 2, pp. 201–235.
^ Berg, Shelly (2005). Alfred's Essentials of Jazz Theory, Book 3, p. 90. ISBN 978-0-7390-3089-9.
^ Jazz Lessons

[1] Sadie, Stanley, ed. (1980). "Ninth chord", p. 252, The New Grove Dictionary of Music and Musicians, vol. 13. ISBN 1-56159-174-2.

[Schoenberg-2] Schoenberg, Arnold (1910). Theory of Harmony, pp. 346–347. University of California Press. First published in German as Harmonielehre in 1910. ISBN 9780520049444. Roman numeral analysis and arrows not included in the original.

[3] Schenker, Heinrich (1980). Harmony, p. 190. ISBN 978-0-226-73734-8.

[4] Nikolai Rimsky-Korsakov Practical Manual of Harmony / Ukrainian edition - Kyiv, 1948. - p.52

[B&S_183-84-5] Benward, Bruce; Saker, Marilyn (2009). Music in Theory and Practice. Vol. II (eighth ed.). pp. 183–184. ISBN 978-0-07-310188-0.

[Stephenson_85-6] Stephenson, Ken (2002). What to Listen for in Rock: A Stylistic Analysis. p. 85. ISBN 978-0-300-09239-4.

[FOOTNOTEBenwardSaker2009179-7] Benward & Saker 2009, p. 179.

[Fetis-8] Fétis, François-Joseph and Arlin, Mary I. (1994). Esquisse de l'histoire de l'harmonie, p. 139n9. ISBN 978-0-945193-51-7.

[FOOTNOTEStephenson200283-9] Stephenson 2002, p. 83.

[10] Stockhausen, Stimmung on YouTube

[11] Stimmung, British Library

[12] Cook, Nicholas (1987). A Guide to Musical Analysis. London: J. M. Dent. p. 370.

[13] Smith, John (1853). A Treatise on the Theory and Practice of Music, p. 27. J. McGlashan. [ISBN unspecified].

[14] Taruskin, R. (2010) The Oxford History of Western Music, Volume 4, Music in the Nineteenth Century, Oxford University Press.

[15] Walter Everett (Autumn, 2004). "A Royal Scam: The Abstruse and Ironic Bop-Rock Harmony of Steely Dan", pp. 208–209, Music Theory Spectrum, vol. 26, no. 2, pp. 201–235.

[16] Berg, Shelly (2005). Alfred's Essentials of Jazz Theory, Book 3, p. 90. ISBN 978-0-7390-3089-9.

[17] Jazz Lessons

[1]

[2]

[3]

[4]

[5]

[6]

[7]

[8]

[9]

[10]

[11]

[12]

[13]

[14]

[15]

[16]

[17]

root position	1st
2nd	and 3rd inversion
resolving to I chords, followed by a I⁹ _♯7 chord^[2]	resolving to IV