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

Arnold Schoenberg Arnold Schoenberg or Schönberg (, ; ; 13 September 187413 July 1951) was an Austrian-American composer, music theorist, teacher, writer, and painter. He is widely considered one of the most influential composers of the 20th century. He was as ...

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 In music, a hexachord (also hexachordon) is a six-note series, as exhibited in a scale (hexatonic or hexad) or tone row. The term was adopted in this sense during the Middle Ages and adapted in the 20th century in Milton Babbitt's serial theor ...

, 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 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 interva ...

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 Alban Maria Johannes Berg ( , ; 9 February 1885 – 24 December 1935) was an Austrian composer of the Second Viennese School. His compositional style combined Romantic lyricism with the twelve-tone technique. Although he left a relatively sma ...

'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 h ...

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

Igor Stravinsky Igor Fyodorovich Stravinsky (6 April 1971) was a Russian composer, pianist and conductor, later of French (from 1934) and American (from 1945) citizenship. He is widely considered one of the most important and influential composers of the ...

's ''

The Rite of Spring ''The Rite of Spring''. Full name: ''The Rite of Spring: Pictures from Pagan Russia in Two Parts'' (french: Le Sacre du printemps: tableaux de la Russie païenne en deux parties) (french: Le Sacre du printemps, link=no) is a ballet and orchestral ...

'', "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