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All-trichord hexachord
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.〔Whittall, Arnold (2008). ''The Cambridge Introduction to Serialism'', p. 271. ISBN 978-0-521-68200-8.〕 The prime form of this set class is 〔 and its Forte number is 6-Z17. Its complement is 6-Z43 and they share the interval vector of <3,2,2,3,3,2>. It appears in pieces by Robert Morris and Elliott Carter.〔Alegant, Brian (2010). ''The Twelve-Tone Music of Luigi Dallapiccola'', p.307n4. ISBN 1-58046-325-8.〕 Carter uses all-interval twelve-tone sets consisting of all-trichord hexachords in ''Symphonia''.〔Schiff (1998), p.41.〕 ==See also==
*All-combinatorial hexachord *All-interval tetrachord *All-interval twelve-tone row
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