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Harmonic Materials Of Modern Music
''Harmonic Materials of Modern Music'' is a book on musical set theory by American composer Howard Hanson that overlaps significantly with composer Elliott Carter Elliott Cook Carter Jr. (December 11, 1908 – November 5, 2012) was an American modernist composer who was one of the most respected composers of the second half of the 20th century. He combined elements of European modernism and American " ...'s ''Harmony Book'' and theorist Allen Forte's subsequent ''Structure of Atonal Music''. Published in 1960, Hanson's theory was one of the first to examine all sets of pitches in terms of their specific interval content, independent of tonality, chord root, or consonance versus dissonance. References External links * Hanson, Howard (1960"Harmonic Materials of Modern Music" ''New York: Appleton-Century-Crofts''] Music books 1960 books {{music-book-stub ...
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Set Theory (music)
Musical set theory provides concepts for categorizing musical objects and describing their relationships. Howard Hanson first elaborated many of the concepts for analyzing tonal music. Other theorists, such as Allen Forte, further developed the theory for analyzing atonal music, drawing on the twelve-tone theory of Milton Babbitt. The concepts of musical set theory are very general and can be applied to tonal and atonal styles in any equal temperament tuning system, and to some extent more generally than that. One branch of musical set theory deals with collections ( sets and permutations) of pitches and pitch classes (pitch-class set theory), which may be ordered or unordered, and can be related by musical operations such as transposition, melodic inversion, and complementation. Some theorists apply the methods of musical set theory to the analysis of rhythm as well. Comparison with mathematical set theory Although musical set theory is often thought to involve the ...
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Howard Hanson
Howard Harold Hanson (October 28, 1896 – February 26, 1981)''The New York Times'' – Obituaries. Harold C. Schonberg. February 28, 1981 p. 1011/ref> was an American composer, conductor, educator and music theorist. As director for forty years of the Eastman School of Music, he raised its quality and provided opportunities for commissioning and performing American classical music. In 1944, he won a Pulitzer Prize for his Symphony No. 4, and received numerous other awards, including the George Foster Peabody Award for Outstanding Entertainment in Music in 1946. Early life and education Hanson was born in Wahoo, Nebraska, to Swedish immigrant parents, Hans and Hilma (née Eckstrom) Hanson. In his youth he studied music with his mother. Later, he studied at Luther College in Wahoo, receiving a diploma in 1911, then at the Institute of Musical Art, the forerunner of the Juilliard School, in New York City, where he studied with the composer and music theorist Percy Goetschiu ...
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Elliott Carter
Elliott Cook Carter Jr. (December 11, 1908 – November 5, 2012) was an American modernist composer who was one of the most respected composers of the second half of the 20th century. He combined elements of European modernism and American "ultra-modernism" into a distinctive style with a personal harmonic and rhythmic language, after an early neoclassical phase. His compositions are performed throughout the world, and include orchestral, chamber music, solo instrumental, and vocal works. Carter was the recipient of many awards – he was twice awarded the Pulitzer Prize for his string quartets. He also wrote the large-scale orchestral triptych '' Symphonia: sum fluxae pretium spei''. Carter was born in New York City. He developed an interest in modern music in the 1920s. He was later introduced to Charles Ives, and he soon came to appreciate the American ultra-modernists. After studying at Harvard University with Edward Burlingame Hill, Gustav Holst and Walter Piston, ...
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Allen Forte
Allen Forte (December 23, 1926 – October 16, 2014) was an American music theorist and musicologist. He was Battell Professor Emeritus of the Theory of Music at Yale University and specialized in 20th-century atonal music and music analysis. Early life and education Forte was born in Portland, Oregon. At the age of ten he appeared "on a ocalradio show as a solo pianist among a bevy of similarly youthful performers," where he played the music of Cole Porter and others. He was in the US Navy and served in the Pacific Theatre toward the end of World War II. Afterwards, he relocated to New York City to study music at Columbia University where he received his bachelor's, master's, and doctoral degrees. There, he studied composition with Otto Luening and Vladimir Ussachevsky, although his main interests were forming around music theory and analysis. Academic career In the late 1950s, Forte taught music at various New York institutions: Columbia University Teachers College, Man ...
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Music Books
Music is the arrangement of sound to create some combination of Musical form, form, harmony, melody, rhythm, or otherwise Musical expression, expressive content. Music is generally agreed to be a cultural universal that is present in all human societies. Definitions of music vary widely in substance and approach. While scholars agree that music is defined by a small number of elements of music, specific elements, there is no consensus as to what these necessary elements are. Music is often characterized as a highly versatile medium for expressing human creativity. Diverse activities are involved in the creation of music, and are often divided into categories of musical composition, composition, musical improvisation, improvisation, and performance. Music may be performed using a wide variety of musical instruments, including the human voice. It can also be composed, sequenced, or otherwise produced to be indirectly played mechanically or electronically, such as via a music box ...
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