Iannis Xenakis

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Iannis Xenakis
XenakisMDaniel crop.jpg
Xenakis in his Paris studio, c. 1970
Born
Giannis Klearchou Xenakis

(1922-05-29)29 May 1922
Died4 February 2001(2001-02-04) (aged 78)
OccupationComposer, architect
Years active1947–1997
Notable work List of compositions
Spouse
(m. 1953)
Children1

Giannis Klearchou Xenakis (also spelled for professional purposes as Yannis or Iannis Xenakis; Greek : Γιάννης "Ιωάννης" Κλέαρχου Ξενάκης, pronounced  [ˈʝanis kseˈnacis] ; 29 May 1922 – 4 February 2001) was a Romanian-born Greek-French avant-garde composer, music theorist, architect, performance director and engineer. After 1947, he fled Greece, becoming a naturalised citizen of France eighteen years later. [1] Xenakis pioneered the use of mathematical models in music such as applications of set theory, stochastic processes and game theory and was also an important influence on the development of electronic and computer music. He integrated music with architecture, designing music for pre-existing spaces, and designing spaces to be integrated with specific music compositions and performances. [2]

Contents

Among his most important works are Metastaseis (1953–54) for orchestra, which introduced independent parts for every musician of the orchestra; percussion works such as Psappha (1975) and Pléïades (1979); compositions that introduced spatialization by dispersing musicians among the audience, such as Terretektorh (1966); electronic works created using Xenakis's UPIC system; and the massive multimedia performances Xenakis called polytopes, that were a summa of his interests and skills. [3] Among the numerous theoretical writings he authored, the book Formalized Music: Thought and Mathematics in Composition (French edition 1963, English translation 1971) is regarded as one of his most important. As an architect, Xenakis is primarily known for his early work under Le Corbusier: the priory of Sainte-Marie de La Tourette, on which the two collaborated, and the Philips Pavilion at Expo 58, which Xenakis designed by himself.

Life

1922–47: Early years

Giannis Klearchou Xenakis was born in Brăila, Romania—the site of a large Greek community, as the eldest son of Greek parents; Klearchos Xenakis, a businessman from Euboea who was managing director of an English export-import agency and one of the richest men in the city, and Fotini Pavlou from Lemnos, a pianist who also spoke German and French. His two younger brothers were Jason, who became a philosophy professor in the United States and Greece and Cosmas, an architect, urban planner and artist. His parents were both interested in music, and it was Pavlou who encouraged the young child to learn more about it: the young Giannis was given a flute by his mother, and the family visited the Bayreuth Festival several times, due to his father's interest in opera. Her early death in 1927, when Xenakis was five years old, was a traumatic experience that, in his own words, "deeply scarred" the future composer. She had previously been infected from measles and died after giving birth to a stillborn daughter. [4] He was subsequently educated by a series of English, French, and German governesses, and then, in 1932, sent to Greece to study at the Anargyrio-Korgialenio boarding school on the Aegean island of Spetses. He sang in the school's boys' choir, where the repertoire included works by Palestrina, and Mozart's Requiem , which Xenakis memorized in its entirety. [5] It was also at the Spetses school that Xenakis studied notation and solfège, being introduced to the music of Ludwig van Beethoven and Johannes Brahms and became enamoured of Greek traditional and church music. [5] At the same time, he discovered the writer Homer and had a habit of visiting museums.

In 1938, after graduating from the school, Xenakis moved to Athens to prepare for entrance exams at its National Technical University, also studying Ancient Greek. He was encouraged by his friends and family to do so due to his interests in physics and mathematics. Although he intended to study architecture and engineering, he also took lessons in harmony and counterpoint with Aristotelis Koundouroff. [6] In 1940, he successfully passed the exams, but his studies were cut short by the Greco-Italian War, which began with the Italian invasion on 28 October 1940. Although Greece eventually won the war, it was not long before the German army joined the Italians in the Battle of Greece, in April 1941. This led to the Axis occupation of Greece during World War II, which lasted until late 1944, when the Allies began their drive across Europe, forcing the Axis forces to withdraw. Xenakis joined the National Liberation Front early during the war, participating in mass protests and demonstrations, and later becoming part of armed resistance—this last step was a painful experience Xenakis refused to discuss until much later in life. [7] [8] After the Axis forces left, Churchill ordered that British forces step in to help restore the Greek monarchy; they were opposed by the Democratic Army of Greece, and the country plunged into a civil war. In December 1944, during the period of Churchill's martial law, [9] Xenakis (who was by then a member of the communist students' company of the left-wing Lord Byron faction of ELAS) became involved in street fighting against British tanks. He was wounded and facially disfigured when shrapnel from a tank blast hit his cheek and left eye, which was blinded; [10] the fact that Xenakis survived the injury has been described as a miracle. [11] [12]

The Technical University operated intermittently during these years. Despite this, and Xenakis's other activities, he was able to graduate in 1947, with a degree in civil engineering. [13] Xenakis was then conscripted into the national armed forces. Around 1947 the Greek government began arresting former resistance members that were left-wing oriented and sending them to prison. Xenakis, fearing for his life, went into hiding. With the help of his father and others, he fled Greece through Italy by using a fake passport. On 11 November 1947 he arrived in Paris. In a late interview, Xenakis admitted to feeling tremendous guilt at leaving his country, and that guilt was one of the sources of his later devotion to music:

For years I was tormented by guilt at having left the country for which I'd fought. I left my friends—some were in prison, others were dead, some managed to escape. I felt I was in debt to them and that I had to repay that debt. And I felt I had a mission. I had to do something important to regain the right to live. It wasn't just a question of music—it was something much more significant. [14]

In the meantime, in Greece he was sentenced in absentia to death by the right-wing administration. The sentence was commuted to ten years' imprisonment in 1951, and only lifted some 23 years later, after the fall of the Greek junta in 1974. He later returned the same year. [15]

1947–59: Architecture and music

The Philips Pavilion at the time of the exhibition, designed by Xenakis Expo58 building Philips.jpg
The Philips Pavilion at the time of the exhibition, designed by Xenakis

Although he was an illegal immigrant in Paris, Xenakis was able to get a job at Le Corbusier's architectural studio. He worked as an engineering assistant at first, but quickly rose to performing more important tasks, and eventually to collaborating with Le Corbusier on major projects. These included a kindergarten on the roof of an apartment block in Nantes (Rezé), the Unité d'Habitation of Nantes-Rezé, parts of government buildings in Chandigarh, India, the "undulatory glass surfaces" of Sainte Marie de La Tourette, a Dominican priory in a valley near Lyon, and the Philips Pavilion at Expo 58—the latter project was completed by Xenakis alone from a basic sketch by Le Corbusier. [16] [ page needed ] The experience Xenakis gained played a major role in his music: important early compositions such as Metastaseis (1953–54) were based directly on architectural concepts. At the same time, he dropped the "G" from his professional name to get the name he is most commonly known by, "Iannis".

At the same time, while working for Le Corbusier, Xenakis was studying harmony and counterpoint, and composing. He worked long and hard, frequently far into the night, [17] and sought guidance from a number of teachers, most of whom, however, ultimately rejected him. Such was the case with Nadia Boulanger, who was the first person Xenakis approached about lessons. He then tried studying with Arthur Honegger, whose reaction to Xenakis's music was unenthusiastic. As Xenakis recounted in a 1987 interview, Honegger dismissed a piece which included parallel fifths and octaves as "not music". Xenakis, who was by that time well acquainted with music of Debussy, Béla Bartók, and Stravinsky, all of whom used such devices and much more experimental ones, was furious and left to study with Darius Milhaud, but these lessons also proved fruitless. [18] Annette Dieudonné, a close friend of Boulanger's, then recommended that Xenakis try studying with Olivier Messiaen. [19] Xenakis approached Messiaen for advice on whether he once again start studying harmony and counterpoint. Messiaen later recalled:

I understood straight away that he was not someone like the others. [...] He is of superior intelligence. [...] I did something horrible which I should do with no other student, for I think one should study harmony and counterpoint. But this was a man so much out of the ordinary that I said... No, you are almost thirty, you have the good fortune of being Greek, of being an architect and having studied special mathematics. Take advantage of these things. Do them in your music. [20]

Francisco Estévez has described this work as "mathematical formulas translated . . . into beautiful, exciting, and above all, convincing music." [21]

Xenakis regularly attended Messiaen's classes from 1951 until 1953. Messiaen and his students studied music from a wide range of genres and styles, with particular attention to rhythm. [22] Xenakis's compositions from 1949 until 1952 were mostly inspired by Greek folk melodies, as well as Bartók, Ravel, and others; after studying with Messiaen, he discovered serialism and gained a deep understanding of contemporary music (Messiaen's other pupils at the time included Karlheinz Stockhausen and Jean Barraqué, among others). Messiaen's modal serialism was an influence on Xenakis's first large-scale work, Anastenaria (1953–54): a triptych for choir and orchestra based on an ancient Dionysian ritual. The third part of the triptych, Metastaseis, is generally regarded as the composer's first mature piece; it was detached from the triptych to mark the beginning of the "official" Xenakis oeuvre. [16] He was considered to be part of the Darmstadt School, but later broke with the group of composers, who he believed focused too heavily on serialism and controlling all aspects of composition. In an article titled “The Crisis of Serial Music” he specifically accused Boulez and Stockhausen of steering music into dead-end. [23]

On 3 December 1953, Xenakis married the journalist and writer Françoise Gargouïl, who he met in 1950. [24] Their daughter Mâkhi, who later became a painter and sculptor, was born in 1956 in Paris. In late 1954, with Messiaen's support, Xenakis was accepted into the Groupe de Recherches de Musique Concrète; [25] an organization established by Pierre Schaeffer and Pierre Henry, dedicated to studying and producing electronic music of the musique concrète variety. Shortly after that Xenakis met conductor Hermann Scherchen, who was immediately impressed by the score of Metastaseis and offered his support. Although Scherchen did not premiere that particular work, he did give performances of later pieces by Xenakis, and the relationship between the conductor and the composer was of vital importance for the latter. [26]

By the late 1950s Xenakis slowly started gaining recognition in artistic circles. In 1957, he received his first composition award, from the European Cultural Foundation, and in 1958 the first official commission came through, from Service de Recherche of Radio France. [27] [ verification needed ] In the same year, he produced a musique concrète piece, Concret PH , for the Philips Pavilion. In 1960, Xenakis was well known enough to receive a commission from UNESCO for a soundtrack for a documentary film by Enrico Fulchignoni. [28]

Later life

After leaving Le Corbusier's studio in 1959, Xenakis supported himself by composition and teaching, and quickly became recognized as one of the most important European composers of his time. In 1965, he became a French citizen. He became especially known for his musical research in the field of computer-assisted composition, for which he founded the Equipe de Mathématique et Automatique Musicales (EMAMu) in 1966 (known as CEMAMu: Centre d’Etudes de Mathématique et Automatique Musicales, since 1972). He taught at Indiana University from 1967 until 1972 (and established a studio similar to EMAMu there), and worked as visiting professor at the Sorbonne from 1973 until 1989. [16] Xenakis frequently gave lectures (for instance, from 1975 to 1978 he was Professor of Music at Gresham College, London, giving free public lectures), [29] taught composition, and his works were performed at numerous festivals worldwide, including the Shiraz Arts Festival in Iran. His notable students include Pascal Dusapin, Henning Lohner, Miguel Ángel Coria, Susan Frykberg, Norma Tyer, Robert Carl, and Julio Estrada. In 1983, he was elected as a member of the Académie Française.

Xenakis (1975) Iannis Xenakis 1975.jpg
Xenakis (1975)

In addition to composing and teaching, Xenakis also wrote a number of articles and essays on music. Of these, Formalized Music (1963) became particularly known and was later expanded into a full book. A collection of texts on applications of stochastic processes, game theory and computer programming in music, it was later revised, expanded and translated into English as Formalized Music: Thought and Mathematics in Composition (1971) during Xenakis's tenure at Indiana University.

Xenakis was an atheist. Polish musicologist Zbigniew Skowron, describing Aïs, wrote "In accordance with his atheist views, Xenakis emphasizes the finality of death as the ultimate event of human life, and this is probably why wild shrieks and moans punctuate his score". [30] Xenakis himself wrote, "Man is one, indivisible, and total. He thinks with his belly and feels with his mind. I would like to propose what, to my mind, covers the term "music": ... 7. It is a mystical (but atheistic) asceticism ...". [31]

Xenakis completed his last work, O-mega for percussion soloist and chamber orchestra, in 1997. His health had been getting progressively worse over the years, and by 1997 he was no longer able to work. In 1999, Xenakis was awarded the Polar Music Prize "for a long succession of forceful works, charged with sensitivity, commitment and passion, through which he has come to rank among the most central composers of our century in the realm of art music, exercising within its various fields an influence which cannot be readily overstated". [32] After several years of serious illness, on 1 February 2001 the composer lapsed into a coma. He died in his Paris home four days later, on 4 February, aged 78; and was shortly after cremated, with his ashes being given to his family. He was outlived by his wife, who died on 12 February 2018 in Courbevoie, and his daughter. [33]

Works

Specific examples of mathematics, statistics, and physics applied to music composition are the use of the statistical mechanics of gases in Pithoprakta , statistical distribution of points on a plane in Diamorphoses , minimal constraints in Achorripsis, the normal distribution in ST/10 and Atrées, Markov chains in Analogique, game theory in Duel, Stratégie, and Linaia-agon, group theory in Nomos Alpha (for Siegfried Palm), set theory in Herma and Eonta , [34] and Brownian motion in N'Shima. Persephassa, commissioned by the Shiraz Arts Festival, was performed by Les Percussions de Strasbourg, receiving its world premiere in Persepolis in 1969. Subsequently, he was once again commissioned by the Shiraz Arts Festival and composed Persepolis for the occasion, a "polytope" composed specific to the historic site. [35]

Although electroacoustic compositions represent only a small fraction of Xenakis's output, they are highly relevant to musical thinking in the late 20th century. Important works in this medium include Concret PH (1958), Analogique B (1958–59), Bohor (1962), La légende d'Eer (1977), Mycenae-Alpha (1978), Voyage absolu des Unari vers Andromède (1989), Gendy301 (1991), and S709 (1994). [36]

By 1979, he had devised a computer system called UPIC, which could translate graphical images into musical results. [37] "Xenakis had originally trained as an architect, so some of his drawings, which he called 'arborescences', resembled both organic forms and architectural structures." These drawings' various curves and lines that could be interpreted by UPIC as real time instructions for the sound synthesis process. The drawing is, thus, rendered into a composition. Mycenae-Alpha was the first of these pieces he created using UPIC as it was being perfected. [38]

Xenakis also developed a stochastic synthesizer algorithm (used in GENDY), called dynamic stochastic synthesis, where a polygonal waveform's sectional borders' amplitudes and distance between borders may be generated using a form of random walk to create both aleatoric timbres and musical forms. [39] Further material may be generated by then refeeding the original waveform back into the function or wave forms may be superimposed. Elastic barriers or mirrors are used to keep the randomly generated values within a given finite interval, so as to not exceed limits such as the audible pitch range, avoid complete chaos (white noise), and to create a balance between stability and instability (unity and variety). [39]

Despite Xenakis's reputation as a "mathematical" composer, his works are known for their power and physicality. Alex Ross wrote that Xenakis "produced some of the rawest, wildest music in history—sounds that explode around the ears. Rarefied methods were employed to release primordial energies." [40] Ben Watson expressed admiration for the "terrifying emotional impact of [Xenakis'] sonic objectivity", describing his music as possessing "truly majestic otherness. It is an alien shard, glimmering in the heart of the West." [41] Tom Service praised Xenakis' music for its "shattering visceral power" and "sheer, scintillating physicality", noting its "deep, primal rootedness in richer and older phenomena even than musical history: the physics and patterning of the natural world, of the stars, of gas molecules, and the proliferating possibilities of mathematical principles." [10] Service described Xenakis as a composer "whose craggily, joyously elemental music turned collections of pitches and rhythms and instruments into a force of nature, releasing a power that previous composers had only suggested metaphorically but which he would realise with arguably greater clarity, ferocity, intensity than any musician, before or since," and suggested that his music is "expressive: not in a conventionally emotional way, perhaps, but it has an ecstatic, cathartic power. Xenakis's music – and its preternaturally brilliant performers – allows its listeners to witness seismic events close at hand, to be at the middle of a musical happening of cosmic intensity." [10] Service concluded: "it took Xenakis for music to become nature. On holiday in Corsica, Xenakis would pilot his canoe into the teeth of the biggest storm he and his paddle could manage. When you're listening to his music, you also go out there into the eye of a musical storm that will invigorate, inspire, and awe. See you out there..." [10]

Writings

Related Research Articles

<span class="mw-page-title-main">Aleatoric music</span> Music in which some element of the composition is left to chance

Aleatoricmusic is music in which some element of the composition is left to chance, 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.

<span class="mw-page-title-main">Olivier Messiaen</span> French composer, organist and ornithologist (1908–1992)

Olivier Eugène Prosper Charles Messiaen was a French composer, organist, and ornithologist who was one of the major composers of the 20th century. His music is rhythmically complex; harmonically and melodically he employs a system he called modes of limited transposition, which he abstracted from the systems of material generated by his early compositions and improvisations. He wrote music for chamber ensembles and orchestra, vocal music, as well as for solo organ and piano, and also experimented with the use of novel electronic instruments developed in Europe during his lifetime.

Nomos Alpha 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.

<i>Metastaseis</i> (Xenakis) Orchestral work by Iannis Xenakis

Metastaseis is an orchestral work for 61 musicians by Iannis Xenakis. His first major work, it was written in 1953–54 after his studies with Olivier Messiaen and is about 8 minutes in length. The work was premiered at the 1955 Donaueschingen Festival with Hans Rosbaud conducting. This work was originally a part of a Xenakis trilogy titled Anastenaria but was detached by Xenakis for separate performance.

Nouritza Matossian is a British Cypriot writer, actress, broadcaster and human rights activist. She writes on the arts, contemporary music, history and Armenia.

Julio Estrada Velasco is a composer, theoretician, historian, pedagogue, and interpreter.

UPIC is a computerised musical composition tool, devised by the composer Iannis Xenakis. It was developed at the Centre d'Etudes de Mathématique et Automatique Musicales (CEMAMu) in Paris, and was completed in 1977. Xenakis used it on his subsequent piece Mycènes Alpha (1978) and two other works. It has also been used by composers such as Julio Estrada,, Jean-Claude Risset, Jorge Antunes, François-Bernard Mâche, Takehito Shimazu, Gérard Pape, and Curtis Roads. Aphex Twin implies that he uses UPIC in an interview where he is asked what software he uses and he replies that, "UPIC by Xenakis puts almost everything else to shame [and] it's under 1mb".

Philips Pavilion Pavilion in Brussels, Belgium

The Philips Pavilion was a World's Fair pavilion designed for Expo '58 in Brussels by the office of Le Corbusier. Commissioned by electronics manufacturer Philips, the pavilion was designed to house a multimedia spectacle that celebrated postwar technological progress. Because Le Corbusier was busy with the planning of Chandigarh, much of the project management was assigned to Iannis Xenakis, who was also an experimental composer and was influenced in the design by his composition Metastaseis.

<i>Formalized Music</i>

Formalized Music: Thought and Mathematics in Composition is a book by Greek composer, architect, and engineer Iannis Xenakis in which he explains his motivation, philosophy, and technique for composing music with stochastic mathematical functions. It was published in Paris in 1963 as Musiques formelles: nouveaux principes formels de composition musicale as a special double issue of La Revue musicale and republished in an expanded edition in 1981 in Paris by Stock Musique. It was later translated into English with three added chapters and published in 1971 by Indiana University Press, republished in 1992 by Pendragon Press with a second edition published in 2001, also by Pendragon. The book contains the complete FORTRAN program code for one of Xenakis's early computer music composition programs GENDY. It has been described as a groundbreaking work.

Evryali is a piece for solo piano composed by Iannis Xenakis in 1973. It is based on a technique Xenakis invented in early 1970s, called arborescences—proliferations of melodic lines created from a generative contour. The title refers to the name of one of the Gorgon sisters, and is also Greek for open sea.

Herma is a piece for solo piano composed by Iannis Xenakis in 1961. About ten minutes long, it is based on a formulation of the algebraic equations of Boolean algebra, and is also an example of what Xenakis called symbolic music.

Pithoprakta (1955–56) is a piece by Iannis Xenakis for string orchestra, two trombones, xylophone, and wood block, premièred by conductor Hermann Scherchen in Munich in March 1957. A typical performance of the piece lasts about 10 minutes.

Six chansons pour piano is a short piano suite and one of the earliest completed compositions by Greek composer Iannis Xenakis. It was composed between 1950 and 1951 and dedicated to Bernard Le Floc'h.

Anastenaria is a triptych cycle of compositions for SATB chorus, male chorus and orchestra by Greek composer Iannis Xenakis. It is, also, one of his most successful early compositions. The three movements of this cycle were composed between 1952 and 1954.

<i>Komboï</i>

Komboï is a 1981 stochastic composition for amplified harpsichord and percussion by Greek composer Iannis Xenakis. It is one of the two compositions for harpsichord and percussion written by Xenakis, the other one being Oophaa.

<i>Diamorphoses</i>

Diamorphoses is the first electroacoustic composition by greek composer Iannis Xenakis. It was created between 1957 and 1958 and is considered a masterpiece in several academic books on history of electroacoustic music.

Synaphaï is a composition for piano and orchestra by Greek composer Iannis Xenakis. It was finished in 1969 and premiered in 1971.

<i>Antikhthon</i>

Antikhthon is a ballet for orchestra composed by Iannis Xenakis in 1971.

<i>Keqrops</i>

Keqrops is a composition for piano and orchestra by Greek/French composer Iannis Xenakis. Due to the prominent role of the piano soloist, it has often been classified as a piano concerto. It was completed in 1986.

Eonta is a composition for piano, two trumpets, and three tenor trombones by Iannis Xenakis. It was written in 1963–64, and was premiered on December 16, 1964, by the Ensemble du Domaine Musical, with Yuji Takahashi on piano and Pierre Boulez conducting. Its duration is approximately 18 minutes.

References

  1. Gagné, Nicole V. (2012). Historical Dictionary of Modern and Contemporary Classical Music. Lanham: Scarecrow Press. ISBN   0-8108-6765-6. p. 299: "Xenakis settled in Paris, becoming a French citizen in 1965."
  2. Gérard Pape, Musipoesc: Writings About Music, Paris: Éditions Michel de Maule, 2015, pp. 351-353
  3. "Yannis Xenakis' Polytopes: Cosmogonies in Sound and Architecture – SOCKS". Socks. 8 January 2014. Retrieved 2 June 2019.
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  12. Barthel-Calvet, Anne-Sylvie. (2002). "Chronologie". In Portrait(s) de Iannis Xenakis, edited by François-Bernard Mâche, pp. 25–82. Paris: Bibliothèque Nationale de France. ISBN   2-7177-2178-9.
  13. Baltensperger, André. (1995). Iannis Xenakis und die Stochastische Musik – Komposition im Spannungsfeld von Architektur und Mathematik. Zürich. Paul Haupt. p. 72.
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  18. Xenakis, Iannis; Brown, Roberta; Rahn, John (1987). "Xenakis on Xenakis" (PDF). Perspectives of New Music. 25 (1–2): 16–63 (20). JSTOR   833091.
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  21. Thatcher, Nathan. 2016. Paco. New York: Mormon Artists Group. ISBN   978-1-5238-5909-2. p. 116.
  22. For a study of Messiaen's teaching methods, see Boivin 1995, [ page needed ].
  23. Slabihoudek, Jiri (22 September 2022). "With a Sound Forged in War, Iannis Xenakis Embraced Chaos". The New York Times. ISSN   0362-4331 . Retrieved 24 September 2022.
  24. Xenakis, Françoise, and Andreas Waldburg-Wolfegg. "Mme Xenakis in Conversation", translated by Sarah Green and Maro Elliott. International Contemporary Ensemble website (archive from 11 June 2015, accessed 29 April 2016).
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  26. Matossian, 77–79.
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  29. Cole, Jonathan 2009. "Music and Architecture: Confronting the Boundaries between Space and Sound". Gresham College (21 September, archive from 18 January 2015, accessed 29 April 2016)
  30. Skowron, Zbigniew (ed.). (2001). Lutosławski Studies. Oxford and New York: Oxford University Press. ISBN   978-0-19-816660-3. pp. 122–123.
  31. Xenakis, Iannis. (1992). Formalized Music: Thought and Mathematics in Composition, second edition. Harmonologia Series, no. 6. Stuyvesant, New York: Pendragon Press. ISBN   978-1-57647-079-4. p. 181.
  32. "Iannis Xenakis, Laureate of the Polar Music Prize 1999". Polar Music Prize website (accessed 29 April 2016) Archived 8 March 2012 at the Wayback Machine
  33. Griffiths, Paul. (5 February 2001). "Iannis Xenakis, Composer Who Built Music on Mathematics, Is Dead at 78". The New York Times, p. B7
  34. Chrissochoidis, Ilias, Stavros Houliaras, and Christos Mitsakis. (2005). "Set theory in Xenakis' EONTA". In International Symposium Iannis Xenakis, edited by Anastasia Georgaki and Makis Solomos, pp. 241–249. Athens: The National and Kapodistrian University.
  35. Gluck, Robert (2007). "The Shiraz Arts Festival: Western Avant-Garde Arts in 1970s Iran". Leonardo. 40: 21–28. doi:10.1162/leon.2007.40.1.20. S2CID   57561105.
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  39. 1 2 Serra, 241.
  40. Ross, Alex (22 February 2010). "Waveforms: The singular Iannis Xenakis". The New Yorker . Retrieved 23 October 2020.
  41. Watson, Ben (June 1995). "Iannis Xenakis: Primal Architect". The Wire. No. 136.

Cited sources

Further reading

Obituaries