6-Z44

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^[1]. (see: musical cryptogram)

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]. The complement is obtained when the set is transposed at the 2, 6, or 10^[2].

Schoenberg used the hexachord in the song "Seraphita" (op. 22 no. 1) and the monodrama Die glückliche Hand^[2].

Sources

1. ^ ^{a b c} Friedmann, Michael L. (1990). Ear Training for Twentieth-Century Music, p.109. ISBN 0-300-04537-9.
2. ^ ^{a b} Simms, Bryan R. (2000). The Atonal Music of Arnold Schoenberg, 1908-1923, p.145. ISBN 0-19-512826-5.