6-Z44
Encyclopedia
6-Z44 known as the Schoenberg hexachord, is Arnold Schoenberg
Arnold Schoenberg
Arnold Schoenberg was an Austrian composer, associated with the expressionist movement in German poetry and art, and leader of the Second Viennese School...

's signature
Signature
A signature is a handwritten depiction of someone's name, nickname, or even a simple "X" that a person writes on documents as a proof of identity and intent. The writer of a signature is a signatory. Similar to a handwritten signature, a signature work describes the work as readily identifying...

 hexachord
Hexachord
In music, a hexachord is a collection of six pitch classes including six-note segments of a scale or tone row. The term was adopted in the Middle Ages and adapted in the twentieth-century in Milton Babbitt's serial theory.-Middle Ages:...

, as one transposition
Transposition (music)
In music transposition refers to the process, or operation, of moving a collection of notes up or down in pitch by a constant interval.For example, one might transpose an entire piece of music into another key...

 contains the pitches Es, C, H, B, E, G (Schoenberg), E, B, and B being Es, H, and B in German.

Its Z-related hexachord and complement
Complement (music)
In music the term complement refers to two distinct concepts.In traditional music theory a complement is the interval which, when added to the original interval, spans an octave in total. For example, a major 3rd is the complement of a minor 6th. The complement of any interval is also known as its...

 is 6-Z19 (3478te or, in prime form
Set (music)
A set in music theory, as in mathematics and general parlance, is a collection of objects...

, 013478). They have the interval vector
Interval vector
In musical set theory, an interval vector is an array that expresses the intervallic content of a pitch-class set...

 of <3,1,3,4,3,1> in common. The complement is obtained when the set is transposed at the 2
Major second
In Western music theory, a major second is a musical interval spanning two semitones, and encompassing two adjacent staff positions . For example, the interval from C to D is a major second, as the note D lies two semitones above C, and the two notes are notated on adjacent staff postions...

, 6
Tritone
In classical music from Western culture, the tritone |tone]]) is traditionally defined as a musical interval composed of three whole tones. In a chromatic scale, each whole tone can be further divided into two semitones...

, or 10
Minor seventh
In classical music from Western culture, a seventh is a musical interval encompassing seven staff positions , and the minor seventh is one of two commonly occurring sevenths. The minor quality specification identifies it as being the smallest of the two: the minor seventh spans ten semitones, the...

.

Schoenberg used the hexachord in the song "Seraphita" (op. 22 no. 1) and the monodrama Die glückliche Hand
Die glückliche Hand
Die glückliche Hand , , is a Drama mit Musik 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 book Sex and Character. Unlike Erwartung, Schoenberg wrote the libretto for Die glückliche...

.
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