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Nomos Alpha

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Nomos Alpha ( Greek : Νόμος α΄ ) is a piece for solo cello composed by Iannis Xenakis in 1965 , commissioned by Radio Bremen for cellist Siegfried Palm , and dedicated to mathematicians Aristoxenus of Tarentum , Évariste Galois , and Felix Klein . This piece is an example of a style of music called, by Xenakis, symbolic music – a style of music which makes use of set theory , abstract algebra , and mathematical logic in order to create and analyze musical compositions . Along with symbolic music, Xenakis is known for his development of stochastic music .

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20-456: During his lifetime, Xenakis was a vocal critic of modern Western music since the development of polyphony for its diminished set of outside-time structures, especially when compared to folk and the Byzantine musical traditions. This perceived incompleteness of Western music was the main impetus for the development of symbolic music and for composing Nomos Alpha, his most well-known example of

40-487: A new methodology of experimental music , which began to question fundamental notions of music such as notation , performance , duration, and repetition, while others (Babbitt, Rochberg, Sessions) fashioned their own extensions of the twelve-tone serialism of Schoenberg . The vocabulary of extended tonality, which flourished in the late 19th and very early 20th centuries, continues to be used by contemporary composers. It has never been considered shocking or controversial in

60-533: A sharp distinction. Musical historicism —the use of historical materials, structures, styles, techniques, media, conceptual content, etc., whether by a single composer or those associated with a particular school, movement, or period—is evident to varying degrees in minimalism, post-minimalism, world-music, and other genres in which tonal traditions have been sustained or have undergone a significant revival in recent decades. Some post-minimalist works employ medieval and other genres associated with early music, such as

80-500: A shift in the paradigm of computer technology had taken place, making electronic music systems affordable and widely accessible. The personal computer had become an essential component of the electronic musician's equipment, superseding analog synthesizers and fulfilling the traditional functions of composition and scoring, synthesis and sound processing, sampling of audio input, and control over external equipment. Some authors equate polystylism with eclecticism , while others make

100-414: Is instead, a "continuous motion of registral evolution". This article about a classical composition is a stub . You can help Misplaced Pages by expanding it . Contemporary classical music Contemporary classical music is Western art music composed close to the present day. At the beginning of the 21st century , it commonly referred to the post-1945 modern forms of post-tonal music after

120-625: The Brothers Quay in In Absentia (2000) used music by Karlheinz Stockhausen . Some notable works for chamber orchestra: In recent years, many composers have composed for concert bands (also called wind ensembles). Notable composers include: The following is an incomplete list of contemporary-music festivals: Serialism Too Many Requests If you report this error to the Wikimedia System Administrators, please include

140-503: The "Oi me lasso" and other laude of Gavin Bryars . The historicist movement is closely related to the emergence of musicology and the early music revival . A number of historicist composers have been influenced by their intimate familiarity with the instrumental practices of earlier periods ( Hendrik Bouman , Grant Colburn, Michael Talbot , Paulo Galvão , Roman Turovsky-Savchuk ). The musical historicism movement has also been stimulated by

160-461: The United States. Some of their compositions use an ordered set or several such sets, which may be the basis for the whole composition, while others use "unordered" sets. The term is also often used for dodecaphony , or twelve-tone technique , which is alternatively regarded as the model for integral serialism. Despite its decline in the last third of the 20th century, there remained at the end of

180-623: The century an active core of composers who continued to advance the ideas and forms of high modernism. Those no longer living include Pierre Boulez , Pauline Oliveros , Toru Takemitsu , Jacob Druckman , George Perle , Ralph Shapey , Franco Donatoni , Helmut Lachenmann , Salvatore Sciarrino , Jonathan Harvey , Erkki Salmenhaara , and Henrik Otto Donner . Those still living in June 2024 include Magnus Lindberg , George Benjamin , Brian Ferneyhough , Wolfgang Rihm , Richard Wernick , Richard Wilson , and James MacMillan . Between 1975 and 1990,

200-1208: The composer Nigel Osborne , the Belgian musicologist Harry Halbreich , and the British/Australian musicologist Richard Toop , who gave currency to the concept of a movement with his article "Four Facets of the New Complexity". Though often atonal , highly abstract, and dissonant in sound, the "New Complexity" is most readily characterized by the use of techniques which require complex musical notation . This includes extended techniques , microtonality , odd tunings , highly disjunct melodic contour , innovative timbres , complex polyrhythms , unconventional instrumentations , abrupt changes in loudness and intensity, and so on. The diverse group of composers writing in this style includes Richard Barrett , Brian Ferneyhough , Claus-Steffen Mahnkopf , James Dillon , Michael Finnissy , James Erber , and Roger Redgate . Notable composers of operas since 1975 include: Notable composers of post-1945 classical film and television scores include: Contemporary classical music originally written for

220-559: The concert hall can also be heard on the music track of some films, such as Stanley Kubrick's 2001: A Space Odyssey (1968) and Eyes Wide Shut (1999), both of which used concert music by György Ligeti , and also in Kubrick's The Shining (1980) which used music by both Ligeti and Krzysztof Penderecki . Jean-Luc Godard , in La Chinoise (1967), Nicolas Roeg in Walkabout (1971), and

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240-434: The death of Anton Webern , and included serial music , electronic music , experimental music , and minimalist music . Newer forms of music include spectral music and post-minimalism . At the beginning of the 20th century, composers of classical music were experimenting with an increasingly dissonant pitch language, which sometimes yielded atonal pieces. Following World War I, as a backlash against what they saw as

260-520: The formation of such international organizations as the Delian Society and Vox Saeculorum . Some composers have emerged since the 1980s who are influenced by art rock , for example, Rhys Chatham . New Complexity is a current within today's European contemporary avant-garde music scene, named in reaction to the New Simplicity. Amongst the candidates suggested for having coined the term are

280-500: The genre. Nomos Alpha consists of 24 sections divided into two layers. The first layer consists of every section not divisible by four, while the second layer consists of every fourth section. Layer 1 of Nomos Alpha is determined by the 24- element octahedral group isomorphic to the rotations of a cube . The elements of the set are permutations and the binary operator is composition . Layer 2 of Nomos Alpha —in contrast to Layer 1—is not determined by group theory , but

300-409: The increasingly exaggerated gestures and formlessness of late Romanticism, certain composers adopted a neoclassic style, which sought to recapture the balanced forms and clearly perceptible thematic processes of earlier styles (see also New Objectivity and social realism ). After World War II, modernist composers sought to achieve greater levels of control in their composition process (e.g., through

320-667: The larger musical world—as has been demonstrated statistically for the United States, at least, where "most composers continued working in what has remained throughout this century the mainstream of tonal-oriented composition". Serialism is one of the most important post-war movements among the high modernist schools. Serialism, more specifically named "integral" or "compound" serialism, was led by composers such as Pierre Boulez , Luciano Berio , Bruno Maderna , Luigi Nono , and Karlheinz Stockhausen in Europe, and by Milton Babbitt , Donald Martino , Mario Davidovsky , and Charles Wuorinen in

340-457: The most influential composers in Europe were Pierre Boulez , Luigi Nono , and Karlheinz Stockhausen . The first and last were both pupils of Olivier Messiaen . An important aesthetic philosophy as well as a group of compositional techniques at this time was serialism (also called "through-ordered music", "'total' music" or "total tone ordering"), which took as its starting point the compositions of Arnold Schoenberg and Anton Webern (and thus

360-535: The theatrical potential of the musical performance ( performance art , mixed media , fluxus ). New works of contemporary classical music continue to be created. Each year, the Boston Conservatory at Berklee presents 700 performances. New works from contemporary classical music program students comprise roughly 150 of these performances. To some extent, European and the US traditions diverged after World War II. Among

380-440: The use of the twelve-tone technique and later total serialism ). At the same time, conversely, composers also experimented with means of abdicating control, exploring indeterminacy or aleatoric processes in smaller or larger degrees. Technological advances led to the birth of electronic music. Experimentation with tape loops and repetitive textures contributed to the advent of minimalism . Still other composers started exploring

400-609: Was opposed to traditional twelve-tone music), and was also closely related to Le Corbusier 's idea of the modulor . However, some more traditionally based composers such as Dmitri Shostakovich and Benjamin Britten maintained a tonal style of composition despite the prominent serialist movement. In America, composers like Milton Babbitt , John Cage , Elliott Carter , Henry Cowell , Philip Glass , Steve Reich , George Rochberg , and Roger Sessions formed their own ideas. Some of these composers (Cage, Cowell, Glass, Reich) represented

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