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[[File:Dominant seventh chord on C.png|thumb|right|[[Dominant seventh chord]] on C: C<sup>7</sup> {{audio|Dominant seventh chord on C.mid|Play}}.]]
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In [[music theory]], a '''tetrad''' is a set of four [[note (music)|notes]]. When these four notes form a [[tertian]] chord they are more specifically called a ''[[seventh chord]]'', after the [[diatonic and chromatic|diatonic]] [[interval (music)|interval]] from the [[root (chord)|root]] of the [[chord (music)|chord]] to its fourth note (in root position close voicing). Four-note chords are often formed of intervals other than thirds in 20th- and 21st-century music, however, where they are more generally referred to as ''tetrads'' (see, for example, [[Howard Hanson|Hanson]] 1960, {{Page needed|date=January 2010}}, Gamer 1967, 37 & 52, and Forte 1985, 48–51, 53). A four-note segment of a [[scale (music)|scale]] or twelve-[[tone row]] is more particularly known as a ''tetrachord'',{{Citation needed|date=January 2010}} although Allen Forte in his ''The Structure of Atonal Music'' never uses the term "tetrad", but occasionally employs the word ''tetrachord'' to mean any collection of four pitch classes (Forte 1973, 1, 18, 68, 70, 73, 87, 88, 21, 119, 123, 124, 125, 138, 143, 171, 174, and 223).


A '''tetrad''' is a set of four [[note (music)|notes]] in [[music theory]]. When these four notes form a [[tertian]] chord they are more specifically called a ''[[seventh chord]]'', after the [[diatonic and chromatic|diatonic]] [[interval (music)|interval]] from the [[root (chord)|root]] of the [[chord (music)|chord]] to its fourth note (in root position close voicing). Four-note chords are often formed of intervals other than thirds in 20th- and 21st-century music, however, where they are more generally referred to as ''tetrads''.<ref>See, for example, {{harvnb|Hanson|1960|loc=pp. 18, 22, 28, 32, et passim}}; {{harvnb|Gamer|1967|loc=pp. 37 & 52}}; and {{harvnb|Forte|1985|loc=pp. 48–51, 53}}</ref> Musicologist Allen Forte in his ''The Structure of Atonal Music'' never uses the term "tetrad", but occasionally employs the word ''[[tetrachord]]'' to mean any collection of four [[pitch class]]es.{{sfn|Forte|1973|loc=pp. 1, 18, 68, 70, 73, 87, 88, 21, 119, 123–125, 138, 143, 171, 174, and 223}} In 20th-century music theory, such [[Set (music)|sets]] of four pitch classes are usually called "tetrachords".{{sfn|Anon.|2001}}{{sfn|Roeder|2001}}
==See also==
*[[Tetrachord]]
*[[Hexachord]]


==References==
== Citations ==
{{reflist}}
* [[Allen Forte|Forte, Allen]] (1973). ''The Structure of Atonal Music''. New Haven and London: Yale University Press. ISBN 0-300-01610-7 (cloth) ISBN 0-300-02120-8 (pbk).
== References ==
* [[Allen Forte|Forte, Allen]] (1985). "Pitch-Class Set Analysis Today". ''Music Analysis'' 4, nos. 1 & 2 (March–July: Special Issue: King's College London Music Analysis Conference 1984): 29–58.
* Anonymous (2001). "Tetrachord". ''The New Grove Dictionary of Music and Musicians'', second edition, edited by [[Stanley Sadie]] and [[John Tyrrell (professor of music)|John Tyrrell]]. London: Macmillan Publishers.
* {{wikicite|ref={{harvid|Anon.|2001}}|reference=Anonymous (2001). "Tetrachord". ''The New Grove Dictionary of Music and Musicians'', second edition, edited by [[Stanley Sadie]] and [[John Tyrrell (musicologist)|John Tyrrell]]. London: Macmillan Publishers.}}
* {{wikicite|ref={{harvid|Forte|1973}}|reference=[[Allen Forte|Forte, Allen]] (1973). ''The Structure of Atonal Music''. New Haven and London: Yale University Press. {{ISBN|0-300-01610-7}} (cloth) {{ISBN|0-300-02120-8}} (pbk).}}
* [[Carlton Gamer|Gamer, Carlton]] (1967). "Some Combinational Resources of Equal-Tempered Systems". ''Journal of Music Theory'' 11, no. 1:32–59.
* {{wikicite|ref={{harvid|Forte|1985}}|reference=Forte, Allen (1985). "Pitch-Class Set Analysis Today". ''Music Analysis'' 4, nos. 1 & 2 (March–July: Special Issue: King's College London Music Analysis Conference 1984): 29–58.}}
* [[Howard Hanson|Hanson, Howard]] (1960). ''Harmonic Materials of Modern Music: Resources of the Tempered Scale''. New York: Appleton-Century-Crofts.
* {{wikicite|ref={{harvid|Gamer|1967}}|reference=[[Carlton Gamer|Gamer, Carlton]] (1967). "Some Combinational Resources of Equal-Tempered Systems". ''Journal of Music Theory'' 11, no. 1:32–59.}}
* {{wikicite|ref={{harvid|Hanson|1960}}|reference=[[Howard Hanson|Hanson, Howard]] (1960). ''Harmonic Materials of Modern Music: Resources of the Tempered Scale''. New York: Appleton-Century-Crofts.}}
* {{wikicite|ref={{harvid|Roeder|2001}}|reference=Roeder, John (2001). "Set (ii)". ''The New Grove Dictionary of Music and Musicians'', second edition, edited by Stanley Sadie and John Tyrrell. London: Macmillan Publishers.}}


{{Chords}}
{{Pitch Class Collection}}


{{DEFAULTSORT:Tetrad (Music)}}
{{DEFAULTSORT:Tetrad (Music)}}
[[Category:Intervals]]
[[Category:Musical terminology]]
[[Category:Simultaneities]]
[[Category:Simultaneities (music)]]
[[Category:Chords]]


{{Music-theory-stub}}

[[fr:Accord de quatre notes]]
[[ja:四和音]]
[[pl:Czterodźwięk]]
[[uk:Септакорд]]

Latest revision as of 13:16, 16 December 2024

Dominant seventh chord on C: C7 Play.

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 (in root position close voicing). Four-note chords are often formed of intervals other than thirds in 20th- and 21st-century music, however, where they are more generally referred to as tetrads.[1] Musicologist Allen Forte in his The Structure of Atonal Music never uses the term "tetrad", but occasionally employs the word tetrachord to mean any collection of four pitch classes.[2] In 20th-century music theory, such sets of four pitch classes are usually called "tetrachords".[3][4]

Citations

[edit]
  1. ^ See, for example, Hanson 1960, pp. 18, 22, 28, 32, et passim; Gamer 1967, pp. 37 & 52; and Forte 1985, pp. 48–51, 53
  2. ^ Forte 1973, pp. 1, 18, 68, 70, 73, 87, 88, 21, 119, 123–125, 138, 143, 171, 174, and 223.
  3. ^ Anon. 2001.
  4. ^ Roeder 2001.

References

[edit]
  • Anonymous (2001). "Tetrachord". The New Grove Dictionary of Music and Musicians, second edition, edited by Stanley Sadie and John Tyrrell. London: Macmillan Publishers.
  • Forte, Allen (1973). The Structure of Atonal Music. New Haven and London: Yale University Press. ISBN 0-300-01610-7 (cloth) ISBN 0-300-02120-8 (pbk).
  • Forte, Allen (1985). "Pitch-Class Set Analysis Today". Music Analysis 4, nos. 1 & 2 (March–July: Special Issue: King's College London Music Analysis Conference 1984): 29–58.
  • Gamer, Carlton (1967). "Some Combinational Resources of Equal-Tempered Systems". Journal of Music Theory 11, no. 1:32–59.
  • Hanson, Howard (1960). Harmonic Materials of Modern Music: Resources of the Tempered Scale. New York: Appleton-Century-Crofts.
  • Roeder, John (2001). "Set (ii)". The New Grove Dictionary of Music and Musicians, second edition, edited by Stanley Sadie and John Tyrrell. London: Macmillan Publishers.