Mixtur, for orchestra, 4 sine-wave generators, and 4 ring modulators, is an orchestral composition by the German composer Karlheinz Stockhausen, written in 1964, and is Nr. 16 in his catalogue of works. It exists in three versions: the original version for full orchestra, a reduced scoring made in 1967 (Nr. 16), and a re-notated version of the reduced scoring, made in 2003 and titled Mixtur 2003, Nr. 16.
History
Mixtur is one of the earliest compositions for orchestra with live electronics, and is amongst the first compositions using live-electronic techniques generally.
The original version for large orchestra was premiered on 9 November 1965 at the Norddeutscher Rundfunk, Hamburg. The version for reduced orchestra was premiered in the large broadcasting hall of the Hessischer Rundfunk, Frankfurt am Main, as part of the Darmstädter Ferienkurse on 23 August 1967 by the Ensemble Hudba Dneska conducted by Ladislav Kupkovič, to whom this version is dedicated.
Pierre Boulez conducted a number of performances of Mixtur from the early seventies to as late as 10 June 1982 (at the Théâtre du Châtelet, Paris, with the Ensemble InterContemporain), but was not happy with the score and problems with rehearsals and performances led to a falling out between the two composers.
Beginning in the late 1990s, Stockhausen revised a number of his earlier aleatoric scores, making versions in which the details were worked out and fixed in conventional notation. The last of these was Mixtur, reworked in 2003. In several moments of the original version, the players choose what they play from a selection of written material. Mixtur 2003 eliminates such indeterminacy by completely writing out all the parts. The overall form is also fixed in the new version, which eliminates the movability of some moments permitted in the two previous versions. Many earlier performances had presented two different versions, usually the backwards version first, followed by the forwards version. The score of Mixtur 2003 is written out twice, first in the forwards and then in the backwards version. In a programme note Stockhausen characterised this back-and-forth motion as a metaphor for the interplay between life and death. The world premiere of the new version took place at the Salzburg Festival on 30 August 2006. Stockhausen was to have conducted (and had led the rehearsals in Berlin the previous June), but was forced to cancel because of an attack of sciatica, and his place was taken by Wolfgang Lischke. The performers were the Deutsche Symphonie-Orchester Berlin, with electronics by the Experimentalstudio für akustische Kunst Freiburg, supervised by André Richard.
Material and form
Mixtur is an example of moment form, made up of twenty formal units called "moments", each of which is "recognizable by a personal and unmistakable character". It possesses at the same time a "polyvalent form", in which the components may be performed in different sequences, and incorporates elements of aleatory (called "variable form" by Stockhausen).
The orchestra is divided into five groups, each of a particular timbre: Holz (woodwinds), Blech (brass), Schlagzeug (percussion), Pizzicato (plucked strings), and Streicher (bowed strings). The sounds from each group except the percussion are picked up by microphones and ring modulated with sine tones, producing transformations of the natural timbres, microtonal pitch inflections, and—when the sine tone frequencies fall below about 16 Hz—rhythmic transformations as well. In some moments, such as "Ruhe" and "Blech", the ring modulation serves mainly a coloristic purpose, while a moment like "Translation" plays on foreseen effects in such a way that the electronics become an essential structural component. In other moments, the sine-tone frequencies are directly connected to the larger-scale structure. In "Spiegel", for example, the sine tones focus on the upper octave of the central tone, F. In "Tutti" and "Stufen", on the other hand, the sine tones change with each prominent note in the orchestra in such a way that the output difference or summation tones remain constant on the central tone of that moment.
The division of the orchestra into five groups is decisive for the overall form of the composition. Each moment is given a name describing its overall character, a "central tone" (in a few cases, two consecutive central tones), a tone to be omitted (sometimes two tones), an overall duration, a proportion of silence, a "density" (number of orchestra groups participating), and a timbral mixture: