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词条 Schoenberg hexachord
释义

  1. See also

  2. Sources

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{{music|b}}, B, and B{{music|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

Sources

1. ^Friedmann, Michael L. (1990). Ear Training for Twentieth-Century Music, p.109. {{ISBN|0-300-04537-9}}.
2. ^Williamson, John (2005). "Pyramids, Symbols, and Butterflies: 'Nacht' from Pierrot Lunaire", Words and Music, p.132-3. John Williamson, ed. Liverpool University. {{ISBN|9780853236191}}.
3. ^January, 1978. The Musical quarterly, Volume 64, p.145.
4. ^Simms, Bryan R. (2000). The Atonal Music of Arnold Schoenberg, 1908-1923, p.145. {{ISBN|0-19-512826-5}}.
5. ^Forte, Allen (1973). The Structure of Atonal Music, p.119. Yale University. {{ISBN|9780300021202}}.
6. ^ (1978). The Musical quarterly, Volume 64, p.135.
7. ^Cherney, Brian (2011). Weinzweig: Essays on His Life and Music, p.144-5. Wilfrid Laurier University. {{ISBN|9781554582563}}.
8. ^Forte, Allen (2005). The Harmonic Organization of the Rite of Spring, p.37. Yale. {{ISBN|9780300105377}}.
{{Arnold Schoenberg}}{{Motives (music)}}{{Pitch segments}}

2 : Hexachords|Post-tonal music theory

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