All-trichord_hexachord

All-trichord hexachord

All-trichord hexachord

Add article description

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. Its complement is 6-Z43 and they share the interval vector of <3,2,2,3,3,2>.

All-trichord hexachord
All-trichord hexachord trichords.[1]

It appears in pieces by Robert Morris and Elliott Carter.[3] Carter uses all-interval twelve-tone sets consisting of all-trichord hexachords in his Symphonia: sum fluxae pretium spei.[4]

See also

References

  1. [1]
    Schiff, David (1998). The Music of Elliott Carter, p. 34. ISBN 0-8014-3612-5.
  2. [2]
    Whittall, Arnold (2008). The Cambridge Introduction to Serialism, p. 271. ISBN 978-0-521-68200-8.
  3. [3]
    Alegant, Brian (2010). The Twelve-Tone Music of Luigi Dallapiccola, p. 307n4. ISBN 1-58046-325-8.
  4. [4]
    Schiff (1998), p. 41.

Further reading

Stub icon

This music theory article is a stub. You can help Wikipedia by expanding it.
Share this article:

This article uses material from the Wikipedia article All-trichord_hexachord, and is written by contributors. Text is available under a CC BY-SA 4.0 International License; additional terms may apply. Images, videos and audio are available under their respective licenses.