6-Z44
Encyclopedia
6-Z44 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.
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
.
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...
.