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.Friedmann, Michael L. (1990). Ear Training for Twentieth-Century Music, p.109. .
Its Z-related hexachord and complement is 6-Z19 (3478te or, in prime form, 013478). They have the interval vector of <3,1,3,4,3,1> in common. 6-Z44 lacks prime and inversional combinatoriality. 6-Z44 contains set 3-3 twice and set 3-4 twice.Williamson, John (2005). "Pyramids, Symbols, and Butterflies: 'Nacht' from Pierrot Lunaire", Words and Music, p.132-3. John Williamson, ed. Liverpool University. . Set 7-22 contains 6-Z44 twice and 6-Z19 twice.January, 1978. The Musical quarterly, Volume 64, p.145.
Schoenberg used the hexachord in the song "Seraphita" (op. 22 no. 1) and the monodrama Die glückliche Hand.Simms, Bryan R. (2000). The Atonal Music of Arnold Schoenberg, 1908-1923, p.145. . 6-Z44 is associated with the character Hauptmann in Alban Berg's Wozzeck.Forte, Allen (1973). The Structure of Atonal Music, p.119. Yale University. . Each movement of Berg's 1913 Four Pieces for Clarinet and Piano (op. 5) begins with a statement of 6-Z44 or 6-Z19. (1978). The Musical quarterly, Volume 64, p.135. 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.Cherney, Brian (2011). Weinzweig: Essays on His Life and Music, p.144-5. Wilfrid Laurier University. . 6-Z44 is one of the "fundamental harmonies in the last movement," of Igor Stravinsky's The Rite of Spring, "Sacrificial Dance".Forte, Allen (2005). The Harmonic Organization of the Rite of Spring, p.37. Yale. .
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