| 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 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.
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.
- ^ 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.