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Evryali
''Evryali'' (from grc-gre, Εὐρυάλη ''Euryale'') 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''. Written in 1973, ''Evryali'' was Xenakis' second major work for piano solo after Herma, written in 1961. ''Evryali'' was composed for, and dedicated to, pianist Marie-Françoise Bucquet. According to her, upon presenting her the score, Xenakis said: "Here's the piece. Look at it, and if you think you can do something with it, play it"., translated in . Conventional notation is used throughout the score; however, instead of using two or three staves as is customary for piano scores, Xenakis frequently employs four and five staves. Numerous passages are impossible to play as written either because it is physically impossib ...
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Synaphaï
''Synaphaï'' ( gr, connexities) is a composition for piano and orchestra by Greek composer Iannis Xenakis. It was finished in 1969 and premiered in 1971. Composition ''Synaphaï'' was initially commissioned by Hofstra University on New York's Long Island for the conductor Eleazar de Carvalho and the pianist Jocy de Oliveira. It was finished in 1969 and premiered at the 1971 Royan Festival, of which he was a regular composer, during the festival's ''Xenakis Day'', in which ten of Xenakis's most important works were performed. The piece was performed by Georges Pludermacher at the piano and the Orchestre Philharmonique de l'ORTF with Michel Tabachnik. The piece was later published by Éditions Salabert in May 1981. Structure ''Synaphaï'' consists of only one movement and takes approximately 12–16 minutes to perform. It has largely been categorized as a piano concerto, because of the solo piano's prominent part and its cadenza. It is scored for a solo piano and a large orch ...
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Euryale
In Greek mythology, Euryale ( ; grc, Εὐρυάλη, lit=far-roaming") was the name of the following characters: * Euryale, one of the Gorgons. * Euryale, daughter of Minos, possible mother of the great hunter Orion. * Euryale, one of the Amazons. Valerius Flaccus, 5.312 * Euryale, possible spouse of Minyas (mythology). See also * '' Euryale'', a genus of plants in the water lily family. Notes References * Apollodorus, ''The Library'' with an English Translation by Sir James George Frazer, F.B.A., F.R.S. in 2 Volumes, Cambridge, MA, Harvard University Press; London, William Heinemann Ltd. 1921. ISBN 0-674-99135-4Online version at the Perseus Digital Library.Greek text available from the same website
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Piano
The piano is a stringed keyboard instrument in which the strings are struck by wooden hammers that are coated with a softer material (modern hammers are covered with dense wool felt; some early pianos used leather). It is played using a musical keyboard, keyboard, which is a row of keys (small levers) that the performer presses down or strikes with the fingers and thumbs of both hands to cause the hammers to strike the strings. It was invented in Italy by Bartolomeo Cristofori around the year 1700. Description The word "piano" is a shortened form of ''pianoforte'', the Italian term for the early 1700s versions of the instrument, which in turn derives from ''clavicembalo col piano e forte'' (key cimbalom with quiet and loud)Pollens (1995, 238) and ''fortepiano''. The Italian musical terms ''piano'' and ''forte'' indicate "soft" and "loud" respectively, in this context referring to the variations in volume (i.e., loudness) produced in response to a pianist's touch or pressure on ...
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Iannis Xenakis
Giannis Klearchou Xenakis (also spelled for professional purposes as Yannis or Iannis Xenakis; el, Γιάννης "Ιωάννης" Κλέαρχου Ξενάκης, ; 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. 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. 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'' (1 ...
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Euryale (Gorgon)
Euryale ( ; grc, Εὐρυάλη, lit=far-roaming), in Greek mythology, was the second eldest of the Gorgons, the three sisters that have the hair of living, venomous snakes. Family Euryale and her sisters were daughters of primordial sea god and goddess Phorcys and Ceto, who personified the dangers of the sea.Pindar, ''Pythian Ode'' 12.20Nonnus, ''Dionysiaca'' 25.58 According to Hyginus, the parents of the Gorgons were Gorgon and Ceto. In some variations of the myth of Orion, she is the hunter's mother by Poseidon, who lay with her following Medusa's death. Mythology Euryale and her sister Stheno were immortal, whereas Medusa was mortal. Euryale, like Stheno and Medusa, also had the ability to turn anyone to stone with her gaze. In many stories, Euryale is noted for her bellowing cries, particularly in the tale of Medusa's death at Perseus' hands, in which her anguished howls could make stone crumble to sand. See also * Cultural depictions of Medusa and Gorgons ...
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Gorgon
A Gorgon ( /ˈɡɔːrɡən/; plural: Gorgons, Ancient Greek: Γοργών/Γοργώ ''Gorgṓn/Gorgṓ'') is a creature in Greek mythology. Gorgons occur in the earliest examples of Greek literature. While descriptions of Gorgons vary, the term most commonly refers to three sisters who are described as having hair made of living, venomous snakes and horrifying visages that turned those who beheld them to stone. Traditionally, two of the Gorgons, Stheno and Euryale, were immortal, but their sister Medusa was not and was slain by the demigod and hero Perseus. Etymology The name derives from the Ancient Greek word (), which means 'grim or dreadful', and appears to come from the same root as the Sanskrit word (), which means a guttural sound, similar to the growling of a beast, thus possibly originating as an onomatopoeia. Depictions Gorgons were a popular image in Greek mythology, appearing in the earliest of written records of Ancient Greek religious beliefs such as thos ...
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Greek Language
Greek ( el, label= Modern Greek, Ελληνικά, Elliniká, ; grc, Ἑλληνική, Hellēnikḗ) is an independent branch of the Indo-European family of languages, native to Greece, Cyprus, southern Italy (Calabria and Salento), southern Albania, and other regions of the Balkans, the Black Sea coast, Asia Minor, and the Eastern Mediterranean. It has the longest documented history of any Indo-European language, spanning at least 3,400 years of written records. Its writing system is the Greek alphabet, which has been used for approximately 2,800 years; previously, Greek was recorded in writing systems such as Linear B and the Cypriot syllabary. The alphabet arose from the Phoenician script and was in turn the basis of the Latin, Cyrillic, Armenian, Coptic, Gothic, and many other writing systems. The Greek language holds a very important place in the history of the Western world. Beginning with the epics of Homer, ancient Greek literature includes many works of l ...
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Herma (Xenakis)
''Herma'' (from Greek ἕρμα "a stringing together, a foundation") 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. Composition ''Herma'' was the composer's first major work for piano. It was composed after a visit to Japan in 1961, where Xenakis befriended pianist and composer Yūji Takahashi. Xenakis completed the piece upon his return to Paris and dedicated it to Takahashi, who premièred the piece on February 2, 1962. The pianist's impression of that concert was that the piece "made some excited and wonder, others feel painful". Boolean algebra is the main mathematical principle behind ''Herma''. Xenakis defines several pitch sets and proceeds to apply various logical operations to them. The results are incorporated into music by using successions and combinations of various sets. Stochastic procedures ...
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Marie-Françoise Bucquet
Marie-Françoise Bucquet (28 October 1937 – 15 August 2018) was a French pianist. Biography Born in Montivilliers, Marie-Françoise Bucquet began her studies at the Vienna Music Academy and continued this tradition by further studies with Central European musicians: the eminent pianist Wilhelm Kempff and later another eminent pianist, Alfred Brendel. The influence of Edouard Steuermann and Max Deutsch, who were both pupils of Schoenberg, and Pierre Boulez made her also a specialist in 20th-century music. Composers such as Betsy Jolas, Iannis Xenakis and Sylvano Bussotti wrote works especially for her. Repeated concert tours which Bucquet made as a soloist and with orchestra ranged over much of the world. For the Philips label she recorded works by, among others, Bizet, Bartók, Stockhausen and Stravinsky. In 1976 she was awarded an Edison for one of her Schoenberg recordings. She gave numerous master classes in Italy, Spain, the United States, Japan, and (regularly f ...
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Carlos Castaneda
Carlos Castañeda (December 25, 1925 – April 27, 1998) was an American writer. Starting with ''The Teachings of Don Juan'' in 1968, Castaneda wrote a series of books that purport to describe training in shamanism that he received under the tutelage of a Yaqui "Man of Knowledge" named don Juan Matus. Castaneda's first three books—'' The Teachings of Don Juan: A Yaqui Way of Knowledge'', ''A Separate Reality'', and '' Journey to Ixtlan''—were written while he was an anthropology student at the University of California, Los Angeles (UCLA). He wrote that these books were ethnographic accounts describing his apprenticeship with a traditional "Man of Knowledge" identified as ''don Juan Matus'', a Yaqui Indian from northern Mexico. The veracity of these books was doubted from their original publication, and they are now widely considered to be fictional. Castaneda was awarded his bachelor's and doctoral degrees based on the work described in these books. At the time of hi ...
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Stochastic
Stochastic (, ) refers to the property of being well described by a random probability distribution. Although stochasticity and randomness are distinct in that the former refers to a modeling approach and the latter refers to phenomena themselves, these two terms are often used synonymously. Furthermore, in probability theory, the formal concept of a '' stochastic process'' is also referred to as a ''random process''. Stochasticity is used in many different fields, including the natural sciences such as biology, chemistry, ecology, neuroscience, and physics, as well as technology and engineering fields such as image processing, signal processing, information theory, computer science, cryptography, and telecommunications. It is also used in finance, due to seemingly random changes in financial markets as well as in medicine, linguistics, music, media, colour theory, botany, manufacturing, and geomorphology. Etymology The word ''stochastic'' in English was originally used as ...
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Set Theory
Set theory is the branch of mathematical logic that studies sets, which can be informally described as collections of objects. Although objects of any kind can be collected into a set, set theory, as a branch of mathematics, is mostly concerned with those that are relevant to mathematics as a whole. The modern study of set theory was initiated by the German mathematicians Richard Dedekind and Georg Cantor in the 1870s. In particular, Georg Cantor is commonly considered the founder of set theory. The non-formalized systems investigated during this early stage go under the name of ''naive set theory''. After the discovery of paradoxes within naive set theory (such as Russell's paradox, Cantor's paradox and the Burali-Forti paradox) various axiomatic systems were proposed in the early twentieth century, of which Zermelo–Fraenkel set theory (with or without the axiom of choice) is still the best-known and most studied. Set theory is commonly employed as a foundational ...
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