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
diatonicinterval 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 (see, for example,
Hanson 1960, 18, 22, 28, 32, et passim,
Gamer 1967, 37 & 52, and
Forte 1985, 48–51, 53). 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). In 20th-century music theory, such
sets of four pitch classes are usually called "tetrachords" (
Anon. 2001;
Roeder 2001).
References
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 (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.