6-Z44 (012569), known as the Schoenberg hexachord, is Arnold Schoenberg's

signature A signature (; from la, signare, "to sign") is a handwritten (and often stylized) depiction of someone's name, nickname, or even a simple "X" or other mark that a person writes on documents as a proof of identity and intent. The writer of a ...

hexachord, as one transposition contains the pitches 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 A complement is something that completes something else. Complement may refer specifically to: The arts * Complement (music), an interval that, when added to another, spans an octave ** Aggregate complementation, the separation of pitch-clas ...

is 6-Z19 (3478te or, in

prime form In algebraic geometry, the Schottky–Klein prime form ''E''(''x'',''y'') of a compact Riemann surface ''X'' depends on two elements ''x'' and ''y'' of ''X'', and vanishes if and only if ''x'' = ''y''. The prime form ''E'' is not quite ...

, 013478). They have the

interval vector In musical set theory, an interval vector is an array of natural numbers which summarize the intervals present in a set of pitch classes. (That is, a set of pitches where octaves are disregarded.) Other names include: ic vector (or inter ...

of <3,1,3,4,3,1> in common. 6-Z44 lacks prime and inversional

combinatoriality In music using the twelve tone technique, combinatoriality is a quality shared by twelve-tone tone rows whereby each section of a row and a proportionate number of its transformations combine to form aggregates (all twelve tones). Whittall, Arnold ...

. 6-Z44 contains set 3-3 twice and set 3-4 twice. Set 7-22 contains 6-Z44 twice and 6-Z19 twice. Schoenberg used the hexachord in the song "Seraphita" (op. 22 no. 1) and the monodrama ''

Die glückliche Hand ' (''The Hand of Fate''), Op. 18, is a ''Drama mit Musik'' ("drama with music") by Arnold Schoenberg in four scenes. It was composed between 1910 and 1913. Like ''Erwartung'', composed a year earlier, it was heavily influenced by Otto Weininger's ...

''.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 ''Wozzeck'' () is the first opera by the Austrian composer Alban Berg. It was composed between 1914 and 1922 and first performed in 1925. The opera is based on the drama '' Woyzeck'', which the German playwright Georg Büchner left incomplete at ...

''. Each movement of Berg's 1913 Four Pieces for Clarinet and Piano (op. 5) begins with a statement of 6-Z44 or 6-Z19.

John Weinzweig John Jacob Weinzweig, (March 11, 1913 – August 24, 2006) was a Canadian composer of classical music. Weinzweig was born in Toronto. He went to Harbord Collegiate Institute, and studied music at the university. In 1937, he left for the United St ...

uses two minor triads a

semitone A semitone, also called a half step or a half tone, is the smallest musical interval commonly used in Western tonal music, and it is considered the most dissonant when sounded harmonically. It is defined as the interval between two adjacent no ...

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. 6-Z44 is one of the "fundamental harmonies in the last movement," of Igor Stravinsky's ''

The Rite of Spring , image = Roerich Rite of Spring.jpg , image_size = 350px , caption = Concept design for act 1, part of Nicholas Roerich's designs for Diaghilev's 1913 production of ' , composer = Igor Stravinsky , based_on ...

'', "Sacrificial Dance". Forte, Allen (2005). ''The Harmonic Organization of the Rite of Spring'', p.37. Yale. .

References

{{Pitch segments Hexachords Post-tonal music theory Musical set theory

See also

References