Sacher hexachord
Musical motif forming Paul Sacher's name
From Wikipedia, the free encyclopedia
The Sacher hexachord (6-Z11, a 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, Benjamin Britten's Tema "Sacher", Hans Werner Henze's Capriccio, Witold Lutosławski's Sacher Variation, and Henri Dutilleux's Trois strophes sur le nom de Sacher.[2][3] Further, Boulez's Répons, Dérive 1, Incises and Sur Incises all use tone rows with the same pitches.[4]
The hexachord's complement is its Z-relation, 6-Z40.
