6-Z44 (012569), known as the Schoenberg hexachord, is Arnold Schoenberg's signature hexachord, as one transposition contains the pitches Es, C, H, B, E, G (Schoenberg), E♭, B, and B♭ being Es, H, and B in German. (see: musical cryptogram)
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. The complement is obtained when the set is transposed at the 2, 6, or 10.
Schoenberg used the hexachord in the song "Seraphita" (op. 22 no. 1) and the monodrama Die glückliche Hand.
- ^ a b c Friedmann, Michael L. (1990). Ear Training for Twentieth-Century Music, p.109. ISBN 0-300-04537-9.
- ^ Simms, Bryan R. (2000). The Atonal Music of Arnold Schoenberg, 1908-1923, p.145. ISBN 0-19-512826-5.