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Aleatoric music



 
 
Aleatoric music (also aleatory music or chance music; from the Latin word alea, meaning "dice
Dice

A die is a small polyhedron object, usually cubic, used for generating Statistical randomnesss or other symbols. This makes dice suitable as gambling devices, especially for craps or sic bo, or for use in non-gambling tabletop games....
") is music
Music

Music is an art form whose media is sound organized in time. Common elements of music are pitch , rhythm , dynamics , and the sonic qualities of timbre and texture ....
 in which some element of the composition
Aspect of music

An aspect of music is any characteristic, dimension, or wiktionary:element taken as a part or component of music....
 is left to chance
Randomness

Randomness is a lack of order, purpose, Causality, or predictability. Randomness as defined by Aristotle is the situation, when a choice is to be made which has no logical component by which to determine or make the choice ....
, and/or some primary element of a composed work's realization is left to the determination of its performer(s). The term is most often associated with procedures in which the chance element involves a relatively limited number of possibilities.

The term became known to European composers through lectures by acoustician
Acoustics

Acoustics is the interdisciplinary science that deals with the study of sound, ultrasound and infrasound . A scientist who works in the field of acoustics is an acoustician....
 Werner Meyer-Eppler
Werner Meyer-Eppler

Werner Meyer-Eppler , was a Germany physicist, experimental acoustician, phonetics, and Information theory.Meyer-Eppler studied mathematics, physics, and chemistry, first at the University of Cologne and then in Bonn, from 1936 until 1939, when he received a doctorate in Physics....
 at Darmstadt International Summer Courses for New Music
Darmstadt New Music Summer School

Initiated in 1946 by Wolfgang Steinecke, the Internationale Ferienkurse f?r Neue Musik, Darmstadt , held annually until 1970 and subsequently every two years, encompass both the teaching of composition and interpretation and include premi?res of new works....
 in the beginning of the 1950s.






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Aleatoric music (also aleatory music or chance music; from the Latin word alea, meaning "dice
Dice

A die is a small polyhedron object, usually cubic, used for generating Statistical randomnesss or other symbols. This makes dice suitable as gambling devices, especially for craps or sic bo, or for use in non-gambling tabletop games....
") is music
Music

Music is an art form whose media is sound organized in time. Common elements of music are pitch , rhythm , dynamics , and the sonic qualities of timbre and texture ....
 in which some element of the composition
Aspect of music

An aspect of music is any characteristic, dimension, or wiktionary:element taken as a part or component of music....
 is left to chance
Randomness

Randomness is a lack of order, purpose, Causality, or predictability. Randomness as defined by Aristotle is the situation, when a choice is to be made which has no logical component by which to determine or make the choice ....
, and/or some primary element of a composed work's realization is left to the determination of its performer(s). The term is most often associated with procedures in which the chance element involves a relatively limited number of possibilities.

The term became known to European composers through lectures by acoustician
Acoustics

Acoustics is the interdisciplinary science that deals with the study of sound, ultrasound and infrasound . A scientist who works in the field of acoustics is an acoustician....
 Werner Meyer-Eppler
Werner Meyer-Eppler

Werner Meyer-Eppler , was a Germany physicist, experimental acoustician, phonetics, and Information theory.Meyer-Eppler studied mathematics, physics, and chemistry, first at the University of Cologne and then in Bonn, from 1936 until 1939, when he received a doctorate in Physics....
 at Darmstadt International Summer Courses for New Music
Darmstadt New Music Summer School

Initiated in 1946 by Wolfgang Steinecke, the Internationale Ferienkurse f?r Neue Musik, Darmstadt , held annually until 1970 and subsequently every two years, encompass both the teaching of composition and interpretation and include premi?res of new works....
 in the beginning of the 1950s. According to his definition, "a process is said to be aleatoric ... if its course is determined in general but depends on chance in detail" (Meyer-Eppler 1957, 55).

Early precedents

Compositions that could be considered a precedent for aleatoric composition date back to at least the late 15th century, with the genre of the catholicon, exemplified by the Missa cuiusvis toni of Johannes Ockeghem
Johannes Ockeghem

Johannes Ockeghem was the most famous composer of the Franco-Flemish School in the last half of the 15th century, and is often considered the most influential composer between Guillaume Dufay and Josquin des Prez....
. A later genre was the Musikalisches Würfelspiel
Musikalisches Würfelspiel

A Musikalisches W?rfelspiel was a system for using dice to randomly 'generate' music . These games were quite popular throughout Western Europe in the 18th century....
 or musical dice
Dice

A die is a small polyhedron object, usually cubic, used for generating Statistical randomnesss or other symbols. This makes dice suitable as gambling devices, especially for craps or sic bo, or for use in non-gambling tabletop games....
 game, popular in the late 18th and early 19th century. (One such dice game is attributed to Wolfgang Amadeus Mozart
Wolfgang Amadeus Mozart

Wolfgang Amadeus Mozart Mozart showed prodigious ability from his earliest childhood in Salzburg. Already competent on keyboard and violin, he composed from the age of five and performed before European royalty; at seventeen he was engaged as a court musician in Salzburg, but grew restless and traveled in search of a better position, always...
.) These games consisted of a sequence of musical measures, for which each measure had several possible versions, and a procedure for selecting the precise sequence based on the throwing of a number of dice (Boehmer 1967, 9–47).

American composer John Cage
John Cage

John Milton Cage Jr. was an American composer. A pioneer of Aleatoric music, electronic music and Extended technique, Cage was one of the leading figures of the post-war avant-garde and, in the opinion of many, the most influential American composer of the 20th century....
's Music of Changes
Music of Changes

Music of Changes is a piece for solo piano by John Cage. Composed in 1951 for David Tudor, it was the first instrumental Aleatoric music piece Cage completed....
 (1951) is the first piece to be conceived largely through random procedures (Randel 2002, 17), though for just this reason his indeterminacy
Indeterminacy in music

Indeterminacy in music, which began early in the twentieth century in the music of Charles Ives, and was continued in the 1930s by Henry Cowell and carried on by his student, the experimental music composer John Cage beginning in 1951 , came to refer to the movement which grew up around Cage....
 is of a different order from Meyer-Eppler's concept.

Modern usage

The French composer Pierre Boulez
Pierre Boulez

Pierre Boulez is a French composer of contemporary classical music and Conducting....
 was largely responsible for popularizing the term, using it to describe works that give the performer certain liberties with regard to the sequencing and repetition of parts, an approach pioneered by avant-garde American composer-theorist Henry Cowell
Henry Cowell

Henry Cowell was an United States composer, music theory, pianist, teacher, publisher, and impresario. His contribution to the world of music was summed up by Virgil Thomson, writing in the early 1950s:...
 in his Mosaic Quartet (String Quartet No. 3, 1935). The term was intended by Boulez to distinguish his work from pieces composed through the application of chance operations by John Cage
John Cage

John Milton Cage Jr. was an American composer. A pioneer of Aleatoric music, electronic music and Extended technique, Cage was one of the leading figures of the post-war avant-garde and, in the opinion of many, the most influential American composer of the 20th century....
 and Cage's aesthetic of indeterminate music or indeterminacy.

Early examples of aleatoric music include Klavierstück XI
Klavierstücke (Stockhausen)

The Klavierst?cke constitute a series of compositions by Germany composer Karlheinz Stockhausen.Stockhausen has said the Klavierst?cke "are my drawings" ....
 (1956) 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 twentieth and early twenty-first centuries....
, which features 19 elements to be performed in changing sequences; certain orchestral works of Witold Lutoslawski
Witold Lutoslawski

Witold Lutoslawski was one of the major European composers of the 20th century, and one of the pre-eminent Poland musicians during his last three decades....
 (from after 1959) which contain passages where the musical content is not precisely dictated (Lutoslawski calls this 'ad libitum'); and in some works by Krzysztof Penderecki
Krzysztof Penderecki

Krzysztof Penderecki is a Poland composer and conducting of European classical music....
 characteristic sequences are repeated quickly, producing a kind of oscillating sound.

There has been considerable confusion of the terms aleatory and indeterminate / chance music. One of Cage's pieces, HPSCHD, itself composed using chance procedures, uses music from Mozart's Musikalisches Würfelspiel, referred to above, as well as original music. He also generally used coin-tossing and other procedures depending on designs involving a pre-defined number of choices to be made. Still, both the aesthetic aims as well as the number of elements controlled by chance make the two methods clearly different.

The First Symphony
Symphony No.1 (Schnittke)

The First Symphony of the Russians composer Alfred Schnittke was written between 1969 and 1974.Scored for a very large orchestra, it is recognised as one of Schnittke's most extreme essays in aleatoric music: from the outset the piece is loud, brash and chaotic, and it imports motifs from all parts of the Classical music....
 of Alfred Schnittke
Alfred Schnittke

Alfred Garyevich Schnittke was a Russian and Soviet Union composer. Schnittke's early music shows the strong influence of Dmitri Shostakovich....
 uses aleatoric techniques as only one of a number of approaches to the 'chaos' of 20th century life (Schnittke also uses Ivesian
Charles Ives

Charles Edward Ives was an American musical modernism composer. He is widely regarded as one of the first American composers of international significance....
 dissonance to similar effect).

"Open form" chance music

Open form is a term sometimes used for mobile or polyvalent musical form
Musical form

The term musical form refers to two related concepts:*the type of composition *the structure of a particular musical piece .There is some overlap between musical form and musical genre....
s, where the order of movements
Movement (music)

A movement is a self-contained part of a musical composition or musical form. While individual or selected movements from a composition are sometimes performed separately, a performance of the complete work requires all the movements to be performed in succession....
 or section
Section (music)

In music, a section is "a complete, but not independent musical idea" . Types of sections include the Introduction or intro, exposition, recapitulation, Verse-chorus form, chorus or refrain, Conclusion , coda or outro, fadeout, bridge or interlude....
s is indeterminate or left up to the performer
Musician

A musician is a person who plays or writes music. Musicians can be classified by their roles in creating or performing music:* An instrumentalist plays a musical instrument....
. Roman Haubenstock-Ramati
Roman Haubenstock-Ramati

Roman Haubenstock-Ramati was a composer and music editor who worked in Krak?w, Tel Aviv and Vienna.Haubenstock-Ramati studied composition, music theory, violin and philosophy in Krak?w and Lemberg from 1937 to 1940....
 composed a series of influential "mobiles" such as Interpolation (1958).

However, "open form" in music is also used in the sense defined by the art historian Heinrich Wölfflin
Heinrich Wölfflin

Heinrich W?lfflin was a famous Swiss art critic, whose objective classifying principles were influential in the development of formal analysis in the history of art during the 20th century....
 (Renaissance und Barock, 1888) to mean a work which is fundamentally incomplete, represents an unfinished activity, or points outside of itself. In this sense, a "mobile form" can be either "open" or "closed". An example of a closed mobile musical composition is Stockhausen's Momente
Momente

Momente is a work by the German composer Karlheinz Stockhausen, written between 1962 and 1969, scored for solo soprano, four mixed choirs, and thirteen instrumentalists ....
 (1962-64/69). Terry Riley
Terry Riley

Terry Riley is an American composer associated with the minimalism school....
's In C
In C

In C is a semi-aleatoric music musical piece composed by Terry Riley in 1964 for any number of people, although he suggests "a group of about 35 is desired if possible but smaller or larger groups will work"....
 (1964) was composed of 53 short sequences; each member of the ensemble can repeat a given sequence as many times as he or she chooses before going on to the next (similar to Hovhaness's "spirit murmer", only with a fixed pulsing rhythm), making the details of each performance of In C unique though, because the overall course is fixed, it is a closed form.

Popular music

Randomness has also been used in popular music
Popular music

Popular music is music that is accessible to the mainstream and disseminated by one or more of the mass media. It belongs to any of a number of musical genres, and stands in contrast to classical music, which historically was the music of the elite and upper strata of society, and traditional music which was disseminated orally....
. The sound track for the 1956 science-fiction film Forbidden Planet
Forbidden Planet

Forbidden Planet is a 1956 in film science fiction film directed by Fred M. Wilcox and starring Walter Pidgeon, Anne Francis and Leslie Nielsen....
 was created using unpredictable electronic circuitry (Stone 2005). On British singer David Bowie
David Bowie

David Bowie is an English musician, actor, record producer and Arrangement. Active in five decades of rock music and frequently reinventing his music and image, Bowie is widely regarded as an innovator, particularly for his work in the 1970s....
's 1977 album Low
Low (album)

Low is a 1977 album by British musician David Bowie. Widely regarded as one of his most influential releases, Low was the first of the "Berlin Trilogy", a series of collaborations with Brian Eno ....
, Brian Eno
Brian Eno

Brian Peter George St. John le Baptiste de la Salle Eno , commonly known as Brian Eno , is an England musician, composer, record producer, music theory and singer, who, as a solo artist, is best known as the People known as the father or mother of something of ambient music....
 used chance procedures to co-write some of the album's songs (Prendergast 2000, ).

See also

  • Aleatory
    Aleatory

    Aleatoricism is the creation of art by chance, exploiting the principle of randomness. The word derives from the Latin word alea, the rolling of dice....
  • Algorithmic music
  • Generative music
    Generative music

    Generative music is a term popularized by Brian Eno to describe music that is ever-different and changing, and that is created by a system....
  • Stochastic music
  • Indeterminacy in music
    Indeterminacy in music

    Indeterminacy in music, which began early in the twentieth century in the music of Charles Ives, and was continued in the 1930s by Henry Cowell and carried on by his student, the experimental music composer John Cage beginning in 1951 , came to refer to the movement which grew up around Cage....


Sources

  • Boehmer, Konrad
    Konrad Boehmer

    Konrad Boehmer is a Netherlands composer and writer of Germany birth.Boehmer was born in Berlin. His music reflects his Marxism political agenda, which is made explicit in many of his writings from the late 1960s and 1970s ....
    . 1967. Zur Theorie der offenen Form in der neuen Musik. Darmstadt: Edition Tonos. (Second printing 1988.)
  • Lieberman, David. 2006. "." In GRAPHITE '06: Proceedings of the 4th International Conference on Computer Graphics and Interactive Techniques in Australasia and South East Asia, Kuala Lumpur (Malaysia), November 29–December 2, 2006, edited by Y. T. Lee, Siti Mariyam Shamsuddin, Diego Gutierrez, and Norhaida Mohd Suaib, 245–50. New York: ACM Press. ISBN 1-59593-564-9
  • Meyer-Eppler, Werner
    Werner Meyer-Eppler

    Werner Meyer-Eppler , was a Germany physicist, experimental acoustician, phonetics, and Information theory.Meyer-Eppler studied mathematics, physics, and chemistry, first at the University of Cologne and then in Bonn, from 1936 until 1939, when he received a doctorate in Physics....
    . 1957. "Statistic and Psychologic Problems of Sound", translated by Alexander Goehr. Die Reihe
    Die Reihe

    Die Reihe was an influential German-language music journal, edited by Herbert Eimert and Karlheinz Stockhausen, and published by Universal Edition between 1955 and 1962 ....
     1 ("Electronic Music"): 55–61. Original German edition, 1955, as "Statistische und psychologische Klangprobleme", Die Reihe 1 ("Elektronische Musik"): 22–28.
  • Prendergast, Mark J. 2000. The Ambient Century: from Mahler to Trance: The Evolution of Sound in the Electronic Age. London: Bloomsbury. ISBN 0747542139
  • Randel, Don Michael. 2002. The Harvard Concise Dictionary of Music and Musicians. ISBN 0-674-00978-9.
  • Stone, Susan. 2005. "", NPR Music (7 February). (Accessed 23 September 2008)
  • Wölfflin, Heinrich
    Heinrich Wölfflin

    Heinrich W?lfflin was a famous Swiss art critic, whose objective classifying principles were influential in the development of formal analysis in the history of art during the 20th century....
    . 1888. Renaissance und Barock: Eine Untersuchung über Wesen und Entstehung der Barockstils in Italien. Munich: T. Ackermann. English edition: Renaissance and Baroque. Translated by Kathrin Simon, with an introduction by Peter Murray. London: Collins, 1964; Ithaca: Cornell University Press, 1967.


External links

  • aleatoric musical works by American composers
  • - online version of Mozart's dice game