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Duration Series
A duration row or duration series is an ordering of a set (music), set of duration (music), durations, in analogy with the tone row or twelve-tone technique, twelve-tone set. Olivier Messiaen's "Quatre études de rythme#"Mode de valeurs et d'intensités", Mode de valeurs et d'intensités" is often cited as the first serialism, serial piece, but, as well as being predated by Babbitt, both lacks order and views each note as a unit, rather than composing each parameter (music), parameter separately.Grant, M. J. (2005). ''Serial Music, Serial Aesthetics: Compositional Theory in Post-War Europe'', p.62. . Messiaen had, however, previously used this chromatic duration series as an ordered set in the opening episode of "Turangalîla 2", a movement from the ''Turangalîla-Symphonie'' (1946–48). In 1946 Milton Babbitt wrote "The Function of Set Structures in the Twelve-Tone System", outlining a theory of complete (total) serialism.Sitsky, Larry (2002). ''Music of the Twentieth-Century Av ...
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Nono - Variazioni Canoniche, Rhythmic Values Row
Nono may refer to: Places * Nono, Argentina, a municipality in the Province of Córdoba * Nono, Ecuador, a parish in the municipality of Quito in the province of Pichincha * Nono, Illubabor, Oromia (woreda), Ethiopia, or Nono Sele ** Nono, Illubabor, Oromia (town), in Nono woreda * Nono, West Shewa, Oromia, Ethiopia, a woreda Animals * Black nono (''Simulium buissoni''), a midge species on the Marquesas Islands in Polynesia, with the common name nono or no-no * White nono (''Leptoconops albiventris''), a midge species on the Marquesas Islands in Polynesia, with the common name nono or no-no People * Nonô (footballer, 1899-1931), full name Claudionor Gonçalves da Silva, Brazilian football forward * Nonô (footballer, born 1940), full name Cláudionor Reinaldo Franco, Brazilian football defender * Nono (footballer, born 1991), a Spanish winger for CD Tenerife, full name David González Plata * Nono (footballer, born 1993), a Spanish midfielder, full name José Antonio ...
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Pierre Boulez
Pierre Louis Joseph Boulez (; 26 March 1925 – 5 January 2016) was a French composer, conductor and writer, and the founder of several musical institutions. He was one of the dominant figures of post-war Western classical music. Born in Montbrison in the Loire department of France, the son of an engineer, Boulez studied at the Conservatoire de Paris with Olivier Messiaen, and privately with Andrée Vaurabourg and René Leibowitz. He began his professional career in the late 1940s as music director of the Renaud-Barrault theatre company in Paris. He was a leading figure in avant-garde music, playing an important role in the development of integral serialism (in the 1950s), controlled chance music (in the 1960s) and the electronic transformation of instrumental music in real time (from the 1970s onwards). His tendency to revise earlier compositions meant that his body of work was relatively small, but it included pieces regarded by many as landmarks of twentieth-century musi ...
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Antoine Goléa
Antoine Goléa (real name Siegfried Goldman) (30 August 1906 in Vienna – 12 October 1980 in Paris) was a French musicologist of Romanian origin. He was one of the founding members of the Académie Charles-Cros. Biography Having been pushed by his father to become a violinist, Antoine Goléa entered the Conservatory of Bucharest at the age of nine, and studied violin under the guidance of Cecilia Nitzulescu, a brilliant and despotic "failed violinist", who initially believed in his talent. But, after nine years of study, they both have to face the facts: he was not made to be a virtuoso violinist, despite his undeniable gifts, in particular that of the " absolute pitch", and despite the first violin prize which crowned his long years of study. He was then eighteen years old. After three years at the French high school in Bucharest, his parents decided to send him to France to complete his secondary education. He arrived in Montpellier towards the end of the summer of 1928 and, ...
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Irrational Rhythm
In music, a tuplet (also irrational rhythm or groupings, artificial division or groupings, abnormal divisions, irregular rhythm, gruppetto, extra-metric groupings, or, rarely, contrametric rhythm) is "any rhythm that involves dividing the beat into a different number of equal subdivisions from that usually permitted by the time-signature (e.g., triplets, duplets, etc.)" This is indicated by a number, or sometimes two indicating the fraction involved. The notes involved are also often grouped with a bracket or (in older notation) a slur. The most common type of tuplet is the triplet. Terminology The modern term 'tuplet' comes from a rebracketing of compound words like quintu(s)-(u)plet and sextu(s)-(u)plet, and from related mathematical terms such as "tuple", "-uplet" and "-plet", which are used to form terms denoting multiplets (''Oxford English Dictionary'', entries "multiplet", "-plet, ''comb. form''", "-let, ''suffix''", and "-et, ''suffix''1"). An alternative modern term, ...
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Harmonic Series (music)
A harmonic series (also overtone series) is the sequence of harmonics, musical tones, or pure tones whose frequency is an integer multiple of a ''fundamental frequency''. Pitched musical instruments are often based on an acoustic resonator such as a string or a column of air, which oscillates at numerous modes simultaneously. At the frequencies of each vibrating mode, waves travel in both directions along the string or air column, reinforcing and canceling each other to form standing waves. Interaction with the surrounding air causes audible sound waves, which travel away from the instrument. Because of the typical spacing of the resonances, these frequencies are mostly limited to integer multiples, or harmonics, of the lowest frequency, and such multiples form the harmonic series. The musical pitch of a note is usually perceived as the lowest partial present (the fundamental frequency), which may be the one created by vibration over the full length of the string or air c ...
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Curtis Roads
Curtis Roads (born May 9, 1951) is an American composer, author and computer programmer. He composes electronic and electroacoustic music, specializing in granular and pulsar synthesis. Career and music Born in Cleveland, Ohio, Roads studied composition at the California Institute of the Arts and the University of California San Diego. He is former chair and current vice chair of the Media Arts and Technology Program at the University of California, Santa Barbara.MAT: Faculty and Researchers
", ''Mat.UCSB.edu''.
He has previously taught at the "Federico II",

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Chromatic Scale
The chromatic scale (or twelve-tone scale) is a set of twelve pitches (more completely, pitch classes) used in tonal music, with notes separated by the interval of a semitone. Chromatic instruments, such as the piano, are made to produce the chromatic scale, while other instruments capable of continuously variable pitch, such as the trombone and violin, can also produce microtones, or notes between those available on a piano. Most music uses subsets of the chromatic scale such as diatonic scales. While the chromatic scale is fundamental in western music theory, it is seldom directly used in its entirety in musical compositions or improvisation. Definition The chromatic scale is a musical scale with twelve pitches, each a semitone, also known as a half-step, above or below its adjacent pitches. As a result, in 12-tone equal temperament (the most common tuning in Western music), the chromatic scale covers all 12 of the available pitches. Thus, there is only one chromatic ...
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Ton De Leeuw
Antonius Wilhelmus Adrianus de Leeuw (Rotterdam, 16 November 1926 - Paris, 31 May 1996) was a Dutch composer. He occasionally experimented with microtonality. Life and career Taught by Henk Badings, Olivier Messiaen and others, and in his youth influenced by Béla Bartók, De Leeuw was a teacher at the University of Amsterdam and later professor of composition and electronic music at the Sweelinck Conservatory in Amsterdam from 1959 to 1986, at which institute he served as director from 1971–73. For his notable students, "When I was quite young I once accidentally tuned in on a radio broadcast from an Arabian station. I was thunderstruck: I became deeply aware that there were other people living on this earth, living in thoroughly different conditions, having other thoughts and feelings" (Ton de Leeuw, 1978). He studied ethnomusicology with Jaap Kunst between 1950 and 1954 and the encounter with the Dagar brothers and Drupad on his first visit to India in 1961 deepened a l ...
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Dieter Schnebel
Dieter Schnebel (14 March 1930 – 20 May 2018) was a German composer, theologian and musicologist. He composed orchestral music, chamber music, vocal music and stage works. From 1976 until his retirement in 1995, Schnebel served as professor of experimental music at the Hochschule der Künste, Berlin. Career Schnebel was born in Lahr/Baden. He began general private music studies with Wilhelm Siebler from 1942 until 1945, when he started piano lessons with Wilhelm Resch, and continued study with him until 1949 at the age of 19. He continued with music history through 1952, under Eric Doflein. Simultaneously he began to study composition, from 1950, with Ernst Krenek, Theodor W. Adorno and Pierre Boulez, among others. He entered formal studies at the University of Tübingen where he took musicology with Walter Gerstenberg, as well as theology, philosophy and further piano studies. In 1955, he left with a degree in theology, but with a dissertation about Arnold Schoenberg. Soon ...
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Die Reihe
''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 ( Bryn Mawr) 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''. Origin The journal, whose title means "The Row" or "The Series", owes its genesis to the founding of the Studio for Electronic Music of the Nordwestdeutscher Rundfunk (NWDR) in Cologne (later WDR) under the influence of Werner Meyer-Eppler, and the realisation that technology was becoming an important element in the work of younger composers. The contributions from composers working in the studio were frequently based on their projects there, and in the ...
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Mode (music)
In music theory, the term mode or ''modus'' is used in a number of distinct senses, depending on context. Its most common use may be described as a type of musical scale coupled with a set of characteristic melodic and harmonic behaviors. It is applied to major and minor keys as well as the seven diatonic modes (including the former as Ionian and Aeolian) which are defined by their starting note or tonic. (Olivier Messiaen's modes of limited transposition are strictly a scale type.) Related to the diatonic modes are the eight church modes or Gregorian modes, in which authentic and plagal forms of scales are distinguished by ambitus and tenor or reciting tone. Although both diatonic and gregorian modes borrow terminology from ancient Greece, the Greek ''tonoi'' do not otherwise resemble their mediaeval/modern counterparts. In the Middle Ages the term modus was used to describe both intervals and rhythm. Modal rhythm was an essential feature of the modal notation syst ...
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Undertone Series
In music, the undertone series or subharmonic series is a sequence of notes that results from inverting the intervals of the overtone series. While overtones naturally occur with the physical production of music on instruments, undertones must be produced in unusual ways. While the overtone series is based upon arithmetic multiplication of frequencies, resulting in a harmonic series, the undertone series is based on arithmetic division. Nattiez shows the undertone series on E, as Riemann (''Handbuch der Harmonielehre'', 10th ed., 1929, p. 4) and D'Indy (''Cours de composition musicale'', vol. I, 1912, p. 100) had done. Terminology The hybrid term ''subharmonic'' is used in music in a few different ways. In its pure sense, the term ''subharmonic'' refers strictly to any member of the subharmonic series (, , , , etc.). When the subharmonic series is used to refer to frequency relationships, it is written with f representing some highest known reference frequency (, , , , etc. ...
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