Sacher hexachord
The Sacher hexachord (6-Z11, musical cryptogram on the name of Swiss conductor Paul Sacher) is a hexachord notable for its use in a set of twelve compositions (12 Hommages à Paul Sacher) created at the invitation of Mstislav Rostropovich for Sacher's seventieth birthday in 1976.
| Component intervals from root | |
|---|---|
| perfect fifth | |
| perfect fourth | |
| major third | |
| major second | |
| minor second | |
| root | |
| Forte no. / | |
| 6-Z11 / | |
| Interval vector | |
| <3,3,3,2,3,1> |
The twelve compositions include Pierre Boulez's Messagesquisse, Hans Werner Henze's Capriccio, Witold Lutosławski's Sacher Variation, and Henri Dutilleux's Trois strophes sur le nom de Sacher.[2][3] Messagesquisse is dedicated to Sacher, but Boulez's Répons, Dérive 1, Incises, and Sur Incises all use rows with the same pitches.[4]
The hexachord's complement is its Z-relation, 6-Z40.
See also
References
- Arnold Whittall, The Cambridge Introduction to Serialism, Cambridge Introductions to Music (New York: Cambridge University Press, 2008): 206. ISBN 978-0-521-86341-4 (hardback) ISBN 978-0-521-68200-8 (pbk).
- Steven Stucky, Lutosławski and His Music (Cambridge and New York: Cambridge University Press, 1981): 97. ISBN 9780521227995.
- Robin Stowell, The Cambridge Companion to the Cello (Cambridge and New York: Cambridge University Press, 1999): 144. ISBN 9780521629287.
- Edward Campbell, Boulez, Music and Philosophy, . (Oxford and New York: Oxford University Press, 2010): 206. ISBN 978-0-521-86242-4.
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