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Gruppen

Gruppen (German for "Groups") for three orchestras (1955–57) is amongst the best-known compositions of German composer Karlheinz Stockhausen, and is Work Number 6 in the composer's catalog of works. Gruppen is "a landmark in 20th-century music ... probably the first work of the post-war generation of composers in which technique and imagination combine on the highest level to produce an undisputable masterpiece".

Early in 1955 Stockhausen received a commission from WDR for a new orchestral composition, but his ongoing work on Gesang der Jünglinge prevented him from starting right away. In August and September, he took the opportunity to retreat to an inexpensive rented room in the attic of a parsonage in Paspels, Switzerland, recommended to him by a colleague, Paul Gredinger. Surrounded by the splendour of the Graubünden alps, he created the entire plan of Gruppen, "with a completely new conception of musical time". The surroundings provided more than just a conducive environment for work.

in Gruppen ... whole envelopes of rhythmic blocks are exact lines of mountains that I saw in Paspels in Switzerland right in front of my little window. Many of the time spectra, which are represented by superimpositions of different rhythmic layers—of different speeds in each layer—their envelope which describes the increase and decrease of the number of layers, their shape, so to speak, the shape of the time field, are the curves of the mountain's contour which I saw when I looked out the window.

Originally the work was to have been for multi-channel electronic music with large orchestra, with metrically indeterminate parts for the orchestra. Once having decided to divide the orchestra into three parts, each with its own conductor, Stockhausen gave up the electronic sounds and incorporated some of what had previously been thought of as electronic music into the orchestra. The indeterminate tempos also proved impractical, and were dropped after a few experimental pages of score had been written out.

Upon returning to Cologne, Stockhausen resumed work on Gesang der Jünglinge and then composed the wind quintet Zeitmaße and Klavierstück XI, before turning to working-out the details of Gruppen, which occupied him for all of 1957. The premiere of the work took place in the Rheinsaal of the Kölner Messe in Cologne-Deutz, as part of the WDR's concert series Musik der Zeit, on 24 March 1958 with the Cologne Radio Symphony Orchestra, conducted by Stockhausen (orchestra I), Bruno Maderna (orchestra II), and Pierre Boulez (orchestra III). The score is dedicated to Herbert Eimert, director at that time of the WDR electronic music studio. Gruppen was performed twice on the programme, with the world premiere of Pierre Boulez's Third Piano Sonata, performed by the composer, in between.

A large orchestra of 109 players is divided into three orchestral units, each with its own conductor, which are deployed in a horseshoe shape to the left, front, and right of the audience. The spatial separation was principally motivated by the compositional requirement of keeping simultaneously played yet musically separate passages distinct from one another, but led to some orgiastic passages in which a single musical process passes from one orchestra to another.

The title refers to the work's construction in 174 units, mainly composed in what Stockhausen terms "groups"—cohesive groupings of notes unified through one or more common characteristics (dynamics, instrumental color, register, etc.): "a particular number of notes which are joined, by means of related proportions, into a superordinate experiential quality (namely, the group). The various groups in a composition have various proportional features—various structures—but they are interrelated in that the properties of one group may only be understood by comparing them in degree of relationship with the other groups". This category is contrasted with the "punctual" style of early Darmstadt serialism, which nevertheless also occurs in Gruppen, along with a third category of "collective" or "statistical" swarms or crowds, too dense for the listener to be able to accurately distinguish individual notes or their order of succession. Consequently, the importance of individual notes is relatively low, so that sonority, density, speed, dynamics, and direction of movement become the main features for the listener.

Nonetheless, a traditional twelve-tone row is used as its basis:

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