72 Tone Equal Temperament
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72 Tone Equal Temperament
In music, 72 equal temperament, called twelfth-tone, 72 TET, 72 equal division of the octave, EDO, or 72 ET, is the musical temperament, tempered scale derived by dividing the octave into twelfth-tones, or in other words 72 equal steps (equal frequency ratios). Each step represents a frequency ratio of , or which divides the 100 cent 12 equal temperament, 12 EDO "semitone, halftone" into 6 equal parts (100 cents ÷ 6 steps, exactly) and is thus a "twelfth-tone" (). Since 72 is divisible by 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72, 72 EDO includes all those equal temperaments. Since it contains so many temperaments, 72 EDO contains at the same time tempered semitones, third-tones, quartertones and sixth-tones, which makes it a very versatile temperament. This division of the octave has attracted much attention from tuning theorists, since on the one hand it subdivides the standard equal temperament, 12 equal tem ...
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Equal Division Of The Octave
An equal temperament is a musical temperament or tuning system that approximates just intervals by dividing an octave (or other interval) into steps such that the ratio of the frequencies of any adjacent pair of notes is the same. This system yields pitch steps perceived as equal in size, due to the logarithmic changes in pitch frequency. In classical music and Western music in general, the most common tuning system since the 18th century has been 12 equal temperament (also known as ''12 tone equal temperament'', ' or ', informally abbreviated as ''12 equal''), which divides the octave into 12 parts, all of which are equal on a logarithmic scale, with a ratio equal to the 12th root of 2, (\sqrt 2/math> ≈ 1.05946). That resulting smallest interval, the width of an octave, is called a semitone or half step. In Western countries the term ''equal temperament'', without qualification, generally means '. In modern times, is usually tuned relative to a stan ...
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Genus (music)
In the musical system of ancient Greece, genus (Greek: γένος 'genos'' pl. γένη 'genē'' Latin: ''genus'', pl. ''genera'' "type, kind") is a term used to describe certain classes of intonations of the two movable notes within a tetrachord. The tetrachordal system was inherited by the Latin medieval theory of scales and by the modal theory of Byzantine music; it may have been one source of the later theory of the jins of Arabic music. In addition, Aristoxenus (in his fragmentary treatise on rhythm) calls some patterns of rhythm "genera". Tetrachords According to the system of Aristoxenus and his followers— Cleonides, Bacchius, Gaudentius, Alypius, Bryennius, and Aristides Quintilianus—the paradigmatic tetrachord was bounded by the fixed tones ''hypate'' and ''mese'', which are a perfect fourth apart and do not vary from one genus to another. Between these are two movable notes, called ''parhypate'' and ''lichanos''. The upper tone, lichanos, can vary over the ran ...
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Eduard Artemiev
Eduard Nikolayevich Artemyev (; rus, Эдуа́рд Никола́евич Арте́мьев, p=ɨdʊˈart ɐrˈtʲemʲjɪf; 30 November 1937 – 29 December 2022) was a Soviet and Russian composer of electronic music and film scores. Outside of Russia, he is mostly known for his soundtracks for films such as ''At Home Among Strangers'', ''Solaris'', '' Siberiade'', ''Mirror'', ''Stalker'', and ''Burnt by the Sun''. He was awarded the title People's Artist of Russia in 1999. Biography Artemyev was born in Novosibirsk and studied at the Moscow Conservatory under Yuri Shaporin. His interest in electronic music and synthesizers began after his graduation in 1960, when electronic music was still in its infancy. He wrote his first composition in 1967, on one of the first synthesizers, the ANS synthesizer, which was developed by Soviet engineer, Yevgeny Murzin. He was thus one of the first composers and a pioneer of electronic music. His collaboration with the film director Andrei ...
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Nikolai Nikolsky
Nikolai Mikhailovich Nikolsky (; 13 November 1877 – 19 November 1959) was a Russian and Soviet religious historian, orientalist and biblical scholar. He became a corresponding member of Academy of Sciences of the Soviet Union The Academy of Sciences of the Soviet Union was the highest scientific institution of the Soviet Union from 1925 to 1991. It united the country's leading scientists and was subordinated directly to the Council of Ministers of the Soviet Union (un ... in 1946. Sources 1877 births 1959 deaths 20th-century Russian historians Writers from Moscow People from Moskovsky Uyezd Academic staff of Belarusian State University Academicians of the Byelorussian SSR Academy of Sciences Corresponding Members of the USSR Academy of Sciences Imperial Moscow University alumni Members of the Supreme Soviet of the Byelorussian SSR (1947–1950) Recipients of the Order of Lenin Recipients of the Order of the Red Banner of Labour Assyriologists Historians o ...
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Andrei Volkonsky
Prince Andrei Mikhaylovich Volkonsky (also ''Andrey, André, Mikhailovich, Michailovich, Volkonski, Volkonskiy'') (; 14 February 1933 – 16 September 2008) was a Russian composer of classical music and harpsichordist. He was a key figure in Early Music Revival in Russia. Biography A descendant of Volkonsky, Russian aristocratic princely family in exile, he was born in Geneva in 1933. As a child he played his improvisations to Sergei Rachmaninoff. Then he studied piano at the Conservatoire de Musique de Genève with Johnny Aubert and with the legendary Dinu Lipatti. The Volkonsky family resettled in Moscow in 1947. From 1950 to 1954 he studied at the Moscow Conservatory under Yuri Shaporin, but was expelled for breaking some minor disciplinary rules. In 1956 Volkonsky began the career of a harpsichord and organ player. He pioneered performing renaissance and baroque music, which had hitherto not been played in the USSR. In 1965 he founded an ensemble of early music, called " The ...
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Evgeny Alexandrovich Murzin
Yevgeni (), also transliterated as Yevgeny, Yevgenii, Yevgeniy, Evgeni, Evgeny, Evgenii, Evgeniy, Evgenyi or Evgenij, is the Russian form of the masculine given name Eugene. The short form is Zhenya (Женя), also transliterated as Jenya or Shenya. People with the name include: :''Note: Occasionally, a person may be in more than one section.'' Arts and entertainment * Yevgeny Aryeh (1947–2022), Israeli theater director, playwright, scriptwriter and set designer *Yevgeni Bauer (1865–1917), Russian film director and screenwriter * Yevgeni Grishkovetz (born 1967), Russian writer, dramatist, stage director and actor *Evgeny Kissin (born 1971), Russian-Israeli pianist * Evgenij Kozlov (born 1955), Russian artist *Yevgeny Leonov (1926–1994), Soviet and Russian actor * Yevgeni Mokhorev (born 1967), Russian photographer *Evgeny Mravinsky (1903–1988), Russian conductor *Evgeny Svetlanov (1928–2002), Russian conductor * Yevgeni Urbansky (1932–1965), Soviet Russian actor * Evge ...
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James Tenney
James Tenney (August 10, 1934 – August 24, 2006) was an American composer and music theorist. He made significant early musical contributions to plunderphonics, sound synthesis, algorithmic composition, process music, spectral music, microtonal music, and tuning systems including extended just intonation. His theoretical writings variously concern musical form, texture, timbre, consonance and dissonance, and harmonic perception. Biography James Tenney was born in Silver City, New Mexico, and grew up in Arizona and Colorado. He attended the University of Denver, the Juilliard School of Music, Bennington College (B.A., 1958) and the University of Illinois (M.A., 1961). He studied piano with Eduard Steuermann and composition with Chou Wen-chung, Lionel Nowak, Paul Boepple, Henry Brant, Carl Ruggles, Kenneth Gaburo, John Cage, Harry Partch, and Edgard Varèse. He also studied acoustics, information theory and tape music composition under Lejaren Hiller. In 1961, Te ...
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Ezra Sims
Ezra Sims (January 16, 1928 in Birmingham, Alabama — January 30, 2015 in Boston, Massachusetts) was one of the pioneers in the field of microtonal composition. He invented a system of notation In linguistics and semiotics, a notation system is a system of graphics or symbols, Character_(symbol), characters and abbreviated Expression (language), expressions, used (for example) in Artistic disciplines, artistic and scientific disciplines ... that was adopted by many microtonal composers after him, including Joseph Maneri. His professional debut (12 note ET music) occurred on a Composers Forum program in New York, 1959. In 1960, compelled by his ear, he began writing microtonal music, and continued to do so for the rest of his life, with the occasional exception being taped music for dancers. His last composition in quarter tones (his sixth microtonal one) was his ''Third Quartet'' (1962). Since 1971, whatever music he has composed that is not purely electronic has employed a sys ...
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Miracle Temperament
George Secor (November 8, 1943 – March 2, 2020) was an American musician, composer and music-theorist from Chicago. He was the discoverer of miracle temperament and eponym of the secor. As an inventor, Secor and Hermann Pedtke's ''Motorola Scalatron'' (1974) is an example of a Bosanquet generalized keyboard featuring a multicolored arrangement of 240 tunable oval keys, about which Secor said: "There is not much point in using this alternative keyboard for systems below 31 tones in the octave."Vail, Mark (2000). ''9780879306038'', p.101. Backbeat Books. . However, "even if it were completely impractical musically, it would make a wonderful prop for a futuristic movie." Though its synthesizer capacities may not reach performance level, according to Easley Blackwood, "It has rock-steady tuning capabilities; you can always count on it to be right." George demonstrating the micro-tonal keyboard instrument can be seen in thidemonstration video George was also an accomplished musicia ...
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Joseph Pehrson
Joseph Pehrson (August 14, 1950 – April 4, 2020) was an American composer and pianist. Life Pehrson comes from Detroit, Michigan. He studied at the University of Michigan and Eastman School of Music. (D.M.A. 1981). His teachers include Leslie Bassett, Joseph Schwantner, Otto Luening and Elie Siegmeister. From 1992 to 1993 he was composer-in-residence at the University of Akron. Since 1983 he served as co-director of the Composers Concordance in New York City. He mostly wrote pieces for orchestral and chamber music. His compositions have been performed at Merkin Concert Hall, Carnegie Hall and Symphony Space Symphony Space, founded by Isaiah Sheffer and Allan Miller, is a multi-disciplinary performing arts organization at 2537 Broadway on the Upper West Side of Manhattan in New York City. Performances take place in the 760-seat Peter Jay Sharp Theat .... Concerts were held in Eastern Europe and Russia. Recently, he was working with the German Ensemble Sortisatio. Fu ...
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Boston Microtonal Society
Joseph Gabriel Esther Maneri (February 9, 1927 – August 24, 2009), was an American jazz composer, saxophone and clarinet player. Violinist Mat Maneri is his son. Boston Microtonal Society In 1988, Maneri founded the Boston Microtonal Society, dedicated to microtonal music and tuning. It is currently led by James Bergin and Julia Werntz.'. Discography * ''Kalavinka'' (Cochlea, 1989) * ''Get Ready to Receive Yourself'' (Leo, 1995) * '' Three Men Walking'' with Mat Maneri, Joe Morris (ECM, 1996) * '' Dahabenzapple'' (hatART, 1996) * ''Let the Horse Go'' (Leo, 1996) * '' In Full Cry'' (ECM, 1997) * ''Coming Down the Mountain'' (hatOLOGY, 1997) * '' Paniots Nine'' (Avant, 1998) * '' Blessed'' with Mat Maneri (ECM, 1998) * ''Tales of Rohnlief'' with Mat Maneri, Barre Phillips (ECM, 1999) * '' Tenderly'' (hatOLOGY, 1999) * '' Out Right Now'' with Mat Maneri and Joe Morris (hatOLOGY, 2001) * ''Voices Lowered'' (Leo, 2001) * ''The Trio Concerts'' (Leo, 2001) * ''Going to Church'' (AU ...
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Julia Werntz
Julia may refer to: People *Julia (given name), including a list of people with the name *Julia (surname), including a list of people with the name *Julia gens, a patrician family of Ancient Rome *Julia (clairvoyant) (fl. 1689), lady's maid of Queen Christina of Sweden in Rome, alleged clairvoyant and predictor Science and technology *Julia (programming language), a computer language with features suited for numerical analysis and computational science *Julia (unidentified sound), an underwater sound record by the NOAA *Julia (gastropod), a genus of minute bivalved gastropods in the family Juliidae *Julia butterfly, ''Dryas iulia'', misspelled as ''Dryas julia'' Television * ''Julia'' (1968 TV series), a 1968–1971 American series starring Diahann Carroll * ''Julia'' (2022 TV series), an American drama series * ''Julia'' (Mexican TV series), a 1979 Mexican telenovela * ''Julia'' (Polish TV series), a 2012 Polish soap opera * ''Julia'' (Venezuelan TV series), a 1983 Venezuelan TV ...
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