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.