Studie I
Encyclopedia
Studie I is an electronic music
Electronic music
Electronic music is music that employs electronic musical instruments and electronic music technology in its production. In general a distinction can be made between sound produced using electromechanical means and that produced using electronic technology. Examples of electromechanical sound...

 composition by Karlheinz Stockhausen
Karlheinz Stockhausen
Karlheinz Stockhausen was a German composer, widely acknowledged by critics as one of the most important but also controversial composers of the 20th and early 21st centuries. Another critic calls him "one of the great visionaries of 20th-century music"...

 from the year 1953. It lasts 9 minutes 42 seconds and, together with his Studie II
Studie II
Studie II is an electronic music composition by Karlheinz Stockhausen from the year 1954 and, together with his Studie I, comprises his work number 3...

, comprises his work number ("opus") 3.

History

The composition was created in the Cologne
Cologne
Cologne is Germany's fourth-largest city , and is the largest city both in the Germany Federal State of North Rhine-Westphalia and within the Rhine-Ruhr Metropolitan Area, one of the major European metropolitan areas with more than ten million inhabitants.Cologne is located on both sides of the...

 Studio for Electronic Musik of the NWDR
Nordwestdeutscher Rundfunk
Nordwestdeutscher Rundfunk was the organization responsible for public broadcasting in the German Länder of Hamburg, Lower Saxony, Schleswig-Holstein and North Rhine-Westphalia from 22 September 1945 until 31 December 1955. Until 1954, it was also responsible for broadcasting in West Berlin...

 between July and November 1953 (Decroupet and Ungeheuer 1994, 112). In the final stages of editing, Stockhausen commemorated the birth of his first daughter, Suja, on 25 September 1953 by inserting a "serially unauthorized" 108 Hz "one-gun salute" (Maconie 2005, 131). The world premiere took place in Cologne on 19 October 1954 in the concert series Musik der Zeit, together with Stockhausen’s Studie II and works by Henri Pousseur
Henri Pousseur
Henri Pousseur was a Belgian composer.-Biography:Pousseur studied at the Academies of Music in Liège and in Brussels from 1947 to 1953. He was closely associated with Pierre Froidebise and André Souris...

, Karel Goeyvaerts
Karel Goeyvaerts
Karel Goeyvaerts was a Belgian composer.-Life:After studies at the Royal Flemish Music Conservatory in Antwerp, Goeyvaerts studied composition in Paris with Darius Milhaud and analysis with Olivier Messiaen...

, Herbert Eimert
Herbert Eimert
Herbert Eimert was a German music theorist, musicologist, journalist, music critic, editor, radio producer, and composer.-Life:...

, and Paul Gredinger (Morawska-Büngeler 1988, 115).

The work was important amongst other reasons because it was made (as were the works by Pousseur, Goeyvaerts, and Gredinger) not with the use of (electronic) instruments, like the Trautonium
Trautonium
The trautonium is a monophonic electronic musical instrument invented about 1929 by Friedrich Trautwein in Berlin at the Musikhochschule's music and radio lab, the Rundfunkversuchstelle. Soon Oskar Sala joined him, continuing development until Sala's death in 2002. Instead of a keyboard, its manual...

 or Melochord, but rather out of pure sine tones. For the first time, complete compositional control was achieved, even over timbre
Timbre
In music, timbre is the quality of a musical note or sound or tone that distinguishes different types of sound production, such as voices and musical instruments, such as string instruments, wind instruments, and percussion instruments. The physical characteristics of sound that determine the...

. The ideal was to produce each sound synthetically and thus separately determined in its details: "The conscious organization of music extends to the micro-acoustic sphere of the sound material itself" (Stockhausen 1964, 22–23; Stockhausen 1992, 101). It is serially
Serialism
In music, serialism is a method or technique of composition that uses a series of values to manipulate different musical elements. Serialism began primarily with Arnold Schoenberg's twelve-tone technique, though his contemporaries were also working to establish serialism as one example of...

 organized on all musical levels.

Unlike Studie II, the score has never been published, apart from the first page as an illustration to Stockhausen's analysis of the piece (Stockhausen 1964, 34–35; Stockhausen 1992, 116–17).

Materials and form

The fundamental hypothesis for Studie I was that its serial system should begin in the middle of the human auditory range and extend in both directions to the limits of pitch perception. Durations and amplitudes are inversely proportional to the distance from this central reference, so the sounds become both shorter and softer as they approach the upper and lower limits of pitch audibility (Stockhausen 1992, 102).

Sets of six values determine the entire work. Pitches are drawn from a series of intervals: a falling minor tenth, rising major third, falling minor sixth, rising minor tenth, and falling major third. Expressed as justly intoned
Just intonation
In music, just intonation is any musical tuning in which the frequencies of notes are related by ratios of small whole numbers. Any interval tuned in this way is called a just interval. The two notes in any just interval are members of the same harmonic series...

 numeric ratios, these are 12/5, 4/5, 8/5, 5/12, and 5/4. Starting from 1920 Hz, near the upper threshold of pitch audibility, thirty-six series of six piches each are projected, starting with 1920, 800, 1000, 625, 1500, and 1200. The lowest value of 66 Hz is reached at the fourth value of the twenty-second series: 203, 84, 105, 66, 158, 127 (Stockhausen 1992, 102–103). All of these ratios are derived from the 5:4 major third, and the resulting timbral combinations resemble the pleasant chiming of a crystal goblet or the combination of vibraphone and glockenspiel—sounds which Stockhausen had previously employed in 1952, in his orchestral compositions Spiel and Formel, respectively (Maconie 2005, 130–31).

Studie I is composed with "groups". Like the table of pitches, these groups are also constructed from sets of six numbers so that, for example, the first six "vertical" groups of the composition contain 4, 5, 3, 6, 2, and 1 notes each. Stockhausen calls these note groups "note mixtures", and extrapolates the same grouping principle to the formal structure of the entire work: successive note mixtures form horizontal sequences, groups of these sequences form "structures", and these structures are organized into one large "group series" that produces a unifying proportion series for the entire work (Stockhausen 1992, 104). In order to increase the contrast between the note groups, a set of six envelope curves was added: steady amplitude, increasing amplitude to a sudden cut-off at the specified maximum, and a gradual decrease from the specified maximum; each of these occurs with and without reverberation to produce six forms in all (Stockhausen 1992, 111).

Discography

  • Karlheinz Stockhausen. Studie I, Studie II, Gesang der Jünglinge I
    Gesang der Jünglinge
    Gesang der Jünglinge is a noted electronic music work by Karlheinz Stockhausen. It was realized in 1955–56 at the Westdeutscher Rundfunk studio in Cologne and is Work Number 8 in the composer's catalog of works...

    . Ten-inch mono LP recording. Deutsche Grammophon
    Deutsche Grammophon
    Deutsche Grammophon is a German classical record label which was the foundation of the future corporation to be known as PolyGram. It is now part of Universal Music Group since its acquisition and absorption of PolyGram in 1999, and it is also UMG's oldest active label...

      DGG 16133. [Hamburg]: Deutsche Grammophon Gesellschaft, 1959. Also released as DG LPE 17 243 (UK 10 inch mono LP). LG 1055 (Japan 10 inch mono LP).
  • Karlheinz Stockhausen. Elektronische Musik 1952–1960 (Konkrete Etude, Studie I, Studie II, Gesang der Jünglinge, Kontakte—version for electronic sounds only). CD recording. Stockhausen Complete Edition CD 3. Kürten: Stockhausen-Verlag, 1991.
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