Nr 2 is in a single movement, but falls into three large sections. Unlike its immediate predecessor in Goeyvaerts's catalog, Nr 1 (1950–51) Sonata for Two Pianos, and two of its serial successors, the electronic Nr 4 met dode tonen (1952) and Nr 5 met zuivere tonen (1953), Nr 2 uses a recurring twelve-tone row (B F♯ F E G A♭ E♭ D A B♭ D♭ C). In the outer sections this row is played monodically by the piano, five times in succession in part one, and five more times in the third section, but in retrograde. Around this linear presentation, in a second layer, the other twelve instruments present the chromatic total several times in a dispersed order with constant permutation. The middle section works in a contrasting manner, presenting pitches in successive groups of either two or three simultaneously sounding instruments, completing the twelve-tone aggregate every eight bars. Pitch repetitions are initially dispersed, but toward the centre become increasingly more concentrated.
In music, serialism is a method of composition using series of pitches, rhythms, dynamics, timbres or other musical elements. Serialism began primarily with Arnold Schoenberg's twelve-tone technique, though some of his contemporaries were also working to establish serialism as a form of post-tonal thinking. Twelve-tone technique orders the twelve notes of the chromatic scale, forming a row or series and providing a unifying basis for a composition's melody, harmony, structural progressions, and variations. Other types of serialism also work with sets, collections of objects, but not necessarily with fixed-order series, and extend the technique to other musical dimensions, such as duration, dynamics, and timbre.
Process music is music that arises from a process. It may make that process audible to the listener, or the process may be concealed.
Karel August Goeyvaerts was a Belgian composer.
Kreuzspiel (Crossplay) is a composition by Karlheinz Stockhausen written for oboe, bass clarinet, piano and four percussionists in 1951. It is assigned the number 1/7 in the composer's catalogue of works.
Gruppen 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".
Konrad Boehmer was a German-Dutch composer, educator, and writer.
Die Reihe was a German-language music academic journal, edited by Herbert Eimert and Karlheinz Stockhausen and published by Universal Edition (Vienna) between 1955 and 1962. An English edition was published, under the original German title, between 1957 and 1968 by the Theodore Presser Company in association with Universal Edition (London). A related book series titled "Bücher der Reihe" was begun, but only one title ever appeared in it, Herbert Eimert's Grundlagen der musikalischen Reihentechnik.
Tierkreis (1974–75) is a musical composition by the German composer Karlheinz Stockhausen. The title is the German word for Zodiac, and the composition consists of twelve melodies, each representing one sign of the zodiac.
Kontakte ("Contacts") is an electronic music work by Karlheinz Stockhausen, realized in 1958–60 at the Westdeutscher Rundfunk (WDR) electronic-music studio in Cologne with the assistance of Gottfried Michael Koenig. The score is Nr. 12 in the composer's catalogue of works, and is dedicated to Otto Tomek.
The Klavierstücke constitute a series of nineteen compositions by German composer Karlheinz Stockhausen.
Punctualism is a style of musical composition prevalent in Europe between 1949 and 1955 "whose structures are predominantly effected from tone to tone, without superordinate formal conceptions coming to bear". In simpler terms: "music that consists of separately formed particles—however complexly these may be composed—[is called] punctual music, as opposed to linear, or group-formed, or mass-formed music", bolding in the source). This was accomplished by assigning to each note in a composition values drawn from scales of pitch, duration, dynamics, and attack characteristics, resulting in a "stronger individualizing of separate tones". Another important factor was maintaining discrete values in all parameters of the music. Punctual dynamics, for example
mean that all dynamic degrees are fixed; one point will be linked directly to another on the chosen scale, without any intervening transition or gesture. Line-dynamics, on the other hand, involve the transitions from one given amplitude to another: crescendo, decrescendo and their combinations. This second category can be defined as a dynamic glissando, comparable to glissandi of pitch and of tempi.
André Laporte is a Belgian composer.
Klang —Die 24 Stunden des Tages is a cycle of compositions by Karlheinz Stockhausen, on which he worked from 2004 until his death in 2007. It was intended to consist of 24 chamber-music compositions, each representing one hour of the day, with a different colour systematically assigned to every hour. The cycle was unfinished when the composer died, so that the last three "hours" are lacking. The 21 completed pieces include solos, duos, trios, a septet, and Stockhausen's last entirely electronic composition, Cosmic Pulses. The fourth composition is a theatre piece for a solo percussionist, and there are also two auxiliary compositions which are not part of the main cycle. The completed works bear the work (opus) numbers 81–101.
Zeitmaße is a chamber-music work for five woodwinds composed in 1955–1956 by German composer Karlheinz Stockhausen; it is Number 5 in the composer's catalog. It is the first of three wind quintets written by Stockhausen, followed by Adieu für Wolfgang Sebastian Meyer (1966) and the Rotary Wind Quintet (1997), but is scored with cor anglais instead of the usual French horn of the standard quintet. Its title refers to the different ways that musical time is treated in the composition.
Sonata for Two Pianos (1950–51), also called simply Opus 1 or Nummer 1, is a chamber music work by Belgian composer Karel Goeyvaerts, and a seminal work in the early history of European serialism.
Studie II is an electronic music composition by Karlheinz Stockhausen from the year 1954 and, together with his Studie I, comprises his work number ("opus") 3. It is serially organized on all musical levels and was the first published score of electronic music.
Studie I is an electronic music composition by Karlheinz Stockhausen from the year 1953. It lasts 9 minutes 42 seconds and, together with his Studie II, comprises his work number ("opus") 3.
Aquarius is an opera for eight sopranos, eight baritones, and orchestra by Karel Goeyvaerts. It was begun in 1983 and completed in April 1992, to a libretto by the composer in eight languages, incorporating lines from the Book of Revelation.
Nummer 5 met zuivere tonen is a musical work by the Belgian composer Karel Goeyvaerts, realized at the WDR Studio for Electronic Music in 1953 and one of the earliest pieces of electronic music.
