Schoenberg hexachord
6-Z44 (012569), known as the Schoenberg hexachord, is Arnold Schoenberg's signature hexachord, as one transposition contains the pitches [A], Es, C, H, B, E, G (A. Schoenberg), E♭, B, and B♭ being Es, H, and B in German.[1]
Its Z-related hexachord and complement is 6-Z19[1] (3478te or, in prime form, 013478). They have the interval vector of <3,1,3,4,3,1> in common.[1] 6-Z44 lacks prime and inversional combinatoriality. 6-Z44 contains set 3-3 twice and set 3-4 twice.[2] Set 7-22 contains 6-Z44 twice and 6-Z19 twice.[3]
Schoenberg used the hexachord in the song "Seraphita" (op. 22 no. 1) and the monodrama Die glückliche Hand.[4] 6-Z44 is associated with the character Hauptmann in Alban Berg's Wozzeck.[5] Each movement of Berg's 1913 Four Pieces for Clarinet and Piano (op. 5) begins with a statement of 6-Z44 or 6-Z19.[6] John Weinzweig uses two minor triads a semitone apart, 6-Z19, and their complement, 6-Z44, in an aggregate chord at the end of "City of Brass" from Wine of Peace as well as in the tone row for his Piano Concerto.[7] 6-Z44 is one of the "fundamental harmonies in the last movement," of Igor Stravinsky's The Rite of Spring, "Sacrificial Dance".[8]
See also
- Musical cryptogram
- Sacher hexachord
References
- ^ a b c Friedmann, Michael L. (1990). Ear Training for Twentieth-Century Music, p.109. ISBN 0-300-04537-9.
- ^ Williamson, John (2005). "Pyramids, Symbols, and Butterflies: 'Nacht' from Pierrot Lunaire", Words and Music, p.132-3. John Williamson, ed. Liverpool University. ISBN 9780853236191.
- ^ January, 1978. The Musical quarterly, Volume 64, p.145.
- ^ Simms, Bryan R. (2000). The Atonal Music of Arnold Schoenberg, 1908-1923, p.145. ISBN 0-19-512826-5.
- ^ Forte, Allen (1973). The Structure of Atonal Music, p.119. Yale University. ISBN 9780300021202.
- ^ (1978). The Musical quarterly, Volume 64, p.135.
- ^ Cherney, Brian (2011). Weinzweig: Essays on His Life and Music, p.144-5. Wilfrid Laurier University. ISBN 9781554582563.
- ^ Forte, Allen (2005). The Harmonic Organization of the Rite of Spring, p.37. Yale. ISBN 9780300105377.
- v
- t
- e
- Erwartung, Op. 17
- Die glückliche Hand, Op. 18
- Moses und Aron (1930–32)
- Von heute auf morgen, Op. 32
- Pelleas und Melisande, Op. 5
- Chamber Symphony No. 1, Op. 9
- Five Pieces for Orchestra, Op. 16
- Variations for Orchestra, Op. 31
- Begleitungsmusik zu einer Lichtspielscene, Op. 34
- Chamber Symphony No. 2, Op. 38
- Violin Concerto, Op. 36
- Piano Concerto, Op. 42
- Concerto for String Quartet and Orchestra (1933)
- String quartets (Opp. 7, 10, 30, 37)
- Verklärte Nacht, Op. 4
- Wind Quintet, Op. 26
- Drei Klavierstücke, Op. 11
- Sechs kleine Klavierstücke, Op. 19
- Fünf Klavierstücke, Op. 23
- Suite for Piano, Op. 25
- Zwei Klavierstücke, Op. 33
- Gurre-Lieder (1900–1911)
- Die Jakobsleiter (1917–22)
- Prelude to Genesis Suite, Op. 44
- A Survivor from Warsaw, Op. 46
- Vier Lieder, Op. 2
- Das Buch der hängenden Gärten, Op. 15
- Herzgewächse, Op. 20
- Pierrot lunaire, Op. 21
- Four Orchestral Songs, Op. 22