In music, the all-trichord hexachord is a unique hexachord that contains all twelve trichords, or from which all twelve possible trichords may be derived.[2] The prime form of this set class is {012478}[1] and its Forte number is 6-Z17.
It appears in pieces by Robert Morris and Elliott Carter.[3]
See also [edit]
Further reading [edit]
- Boland, Marguerite (1999). The All-trichord Hexachord: Compositional Stategies in Elliott Carter's Con leggerezza pensos and Gra and a folio of original compositions. MA Thesis, La Trobe University.[3]
- Boros, James (1990). "Some Properties of the All-Trichord Hexachord", In Theory Only 11/6: 19-41.
- Sallmen, Mark (2007). "Listening to the Music Itself: Breaking Through the Shell of Elliott Carter's 'In Genesis'", Music Theory Online 13.3.[3]
Sources [edit]
- ^ a b Schiff, David (1998). The Music of Elliott Carter, p.34. ISBN 0-8014-3612-5.
- ^ Whittall, Arnold (2008). The Cambridge Introduction to Serialism, p. 271. ISBN 978-0-521-68200-8.
- ^ a b c Alegent, Brian (2010). The Twelve-Tone Music of Luigi Dallapiccola, p.307n4. ISBN 1-58046-325-8.
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