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John Rahn
John Rahn, born on February 26, 1944, in New York City, is a music theorist, composer, bassoonist, and Professor of Music at the University of Washington School of Music, Seattle. A former student of Milton Babbitt and Benjamin Boretz, he was editor of ''Perspectives of New Music'' from 1983 to 1993 and since 2001 has been co-editor with Benjamin Boretz and Robert Morris. Forte number and prime form There are three methods of computing Forte number and prime form. Allen Forte published the first in his book ''The Structure of Atonal Music'' (1973). The second was introduced in Rahn's ''Basic Atonal Theory'' and used in Joseph N. Straus's ''Introduction to Post-Tonal Theory'', where it was declared that the two algorithms only differed in five cases: 5-20, 6-Z29, 6-31, 7-20, and 8-26. Forte (1973) and both list the prime forms of a set Set, The Set, SET or SETS may refer to: Science, technology, and mathematics Mathematics *Set (mathematics), a collection of elements *Catego ...
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Music Theory
Music theory is the study of the practices and possibilities of music. ''The Oxford Companion to Music'' describes three interrelated uses of the term "music theory". The first is the "rudiments", that are needed to understand music notation (key signatures, time signatures, and rhythmic notation); the second is learning scholars' views on music from antiquity to the present; the third is a sub-topic of musicology that "seeks to define processes and general principles in music". The musicological approach to theory differs from music analysis "in that it takes as its starting-point not the individual work or performance but the fundamental materials from which it is built." Music theory is frequently concerned with describing how musicians and composers make music, including tuning systems and composition methods among other topics. Because of the ever-expanding conception of what constitutes music, a more inclusive definition could be the consideration of any sonic phenomena, ...
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Composer
A composer is a person who writes music. The term is especially used to indicate composers of Western classical music, or those who are composers by occupation. Many composers are, or were, also skilled performers of music. Etymology and Definition The term is descended from Latin, ''compōnō''; literally "one who puts together". The earliest use of the term in a musical context given by the ''Oxford English Dictionary'' is from Thomas Morley's 1597 ''A Plain and Easy Introduction to Practical Music'', where he says "Some wil be good descanters ..and yet wil be but bad composers". 'Composer' is a loose term that generally refers to any person who writes music. More specifically, it is often used to denote people who are composers by occupation, or those who in the tradition of Western classical music. Writers of exclusively or primarily songs may be called composers, but since the 20th century the terms 'songwriter' or ' singer-songwriter' are more often used, particularl ...
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Bassoon
The bassoon is a woodwind instrument in the double reed family, which plays in the tenor and bass ranges. It is composed of six pieces, and is usually made of wood. It is known for its distinctive tone color, wide range, versatility, and virtuosity. It is a non-transposing instrument and typically its music is written in the bass and tenor clefs, and sometimes in the treble. There are two forms of modern bassoon: the Buffet (or French) and Heckel (or German) systems. It is typically played while sitting using a seat strap, but can be played while standing if the player has a harness to hold the instrument. Sound is produced by rolling both lips over the reed and blowing direct air pressure to cause the reed to vibrate. Its fingering system can be quite complex when compared to those of other instruments. Appearing in its modern form in the 19th century, the bassoon figures prominently in orchestral, concert band, and chamber music literature, and is occasionally heard in pop, r ...
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University Of Washington
The University of Washington (UW, simply Washington, or informally U-Dub) is a public research university in Seattle, Washington. Founded in 1861, Washington is one of the oldest universities on the West Coast; it was established in Seattle approximately a decade after the city's founding. The university has a 703 acre main campus located in the city's University District, as well as campuses in Tacoma and Bothell. Overall, UW encompasses over 500 buildings and over 20 million gross square footage of space, including one of the largest library systems in the world with more than 26 university libraries, art centers, museums, laboratories, lecture halls, and stadiums. The university offers degrees through 140 departments, and functions on a quarter system. Washington is the flagship institution of the six public universities in Washington state. It is known for its medical, engineering, and scientific research. Washington is a member of the Association of American Universiti ...
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Milton Babbitt
Milton Byron Babbitt (May 10, 1916 – January 29, 2011) was an American composer, music theorist, mathematician, and teacher. He is particularly noted for his Serialism, serial and electronic music. Biography Babbitt was born in Philadelphia to Albert E. Babbitt and Sarah Potamkin, who were Jewish. He was raised in Jackson, Mississippi, and began studying the violin when he was four but soon switched to clarinet and saxophone. Early in his life he was attracted to jazz and theater music, and "played in every pit-orchestra that came to town". Babbitt was making his own arrangements of popular songs by age 7, "wrote a lot of pop tunes for school productions", and won a local songwriting contest when he was 13. A Jackson newspaper called Babbitt a "whiz kid" and noted "that he had perfect pitch and could add up his family’s grocery bills in his head. In his teens he became a great fan of jazz cornet player Bix Beiderbecke." Babbitt's father was a mathematician, and Babbitt inten ...
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Benjamin Boretz
Benjamin Aaron Boretz (born October 3, 1934) is an American composer and music theorist. Life and work Benjamin Boretz was born in Brooklyn, New York to Abraham Jacob Boretz and Leah (Yullis) Boretz. He graduated with a degree in music from Brooklyn College in 1954, studied composition with Tadeusz Kassern, and later studied composition at Brandeis University with Arthur Berger and Irving Fine, with Darius Milhaud at the Aspen Music Festival and School, with Lukas Foss at UCLA, and with Milton Babbitt and Roger Sessions at Princeton University. Boretz was one of the first composers to work with computer-synthesized sound (Group Variations II, 1970–72). In the late 1970s and 1980s he converged his compositional and pedagogical practices in a project of real-time improvisational music-making, culminating in the formation at Bard College of the music-learning program called Music Program Zero, which flourished until 1995. He has written extensively on musical issues, as critic, ...
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Perspectives Of New Music
''Perspectives of New Music'' (PNM) is a peer-reviewed academic journal specializing in music theory and analysis. It was established in 1962 by Arthur Berger and Benjamin Boretz (who were its initial editors-in-chief). ''Perspectives'' was first published by the Princeton University Press, initially supported by the Fromm Music Foundation.David Carson Berry, "''Journal of Music Theory'' under Allen Forte's Editorship," ''Journal of Music Theory'' 50/1 (2006), 21, n49. The first issue was favorably reviewed in the ''Journal of Music Theory'', which observed that Berger and Boretz had produced "a first issue which sustains such a high quality of interest and cogency among its articles that one suspects the long delay preceding the yet-unborn Spring 1963 issue may reflect a scarcity of material up to their standard". However, as the journal's editorial "perspective" coalesced, Fromm became—in the words of David Gable—disenchanted with the "exclusive viewpoint hatcame to dominate" ...
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Robert Morris (composer)
Robert Daniel Morris (born October 19, 1943) is an American composer and music theorist. Work in music theory As a music theorist, Morris's work has bridged an important gap between the rigorously academic and the highly experimental. Born in Cheltenham, England, in 1943, Morris received his musical education at the Eastman School of Music (B.M. in composition with distinction) and the University of Michigan (M.M. and D.M.A. in composition and ethnomusicology), where he studied composition with John La Montaine, Leslie Bassett, Ross Lee Finney, and Eugene Kurtz. At Tanglewood, as a Margret Lee Crofts Fellow, he worked with Gunther Schuller. Morris has taught composition, electronic music, and music theory at the University of Hawaii and at Yale University, where he was Chairman of the Composition Department and Director of the Yale Electronic Music Studio. He was also Director of the Computer and Electronic Studio, Director of Graduate (music) Studies, and Associate Professor of ...
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Forte Number
In musical set theory, a Forte number is the pair of numbers Allen Forte assigned to the prime form of each pitch class set of three or more members in ''The Structure of Atonal Music'' (1973, ). The first number indicates the number of pitch classes in the pitch class set and the second number indicates the set's sequence in Forte's ordering of all pitch class sets containing that number of pitches. In the 12-TET tuning system (or in any other system of tuning that splits the octave into twelve semitones), each pitch class may be denoted by an integer in the range from 0 to 11 (inclusive), and a pitch class set may be denoted by a set of these integers. The prime form of a pitch class set is the most compact (i.e., leftwards packed or smallest in lexicographic order) of either the normal form of a set or of its inversion. The normal form of a set is that which is transposed so as to be most compact. For example, a second inversion major chord contains the pitch classes 7, 0, an ...
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Prime Form (music)
A set (pitch set, pitch-class set, set class, set form, set genus, pitch collection) in music theory, as in mathematics and general parlance, is a collection of objects. In musical contexts the term is traditionally applied most often to collections of pitches or pitch-classes, but theorists have extended its use to other types of musical entities, so that one may speak of sets of durations or timbres, for example.Wittlich, Gary (1975). "Sets and Ordering Procedures in Twentieth-Century Music", ''Aspects of Twentieth-Century Music'', p.475. Wittlich, Gary (ed.). Englewood Cliffs, New Jersey: Prentice-Hall. . A set by itself does not necessarily possess any additional structure, such as an ordering or permutation. Nevertheless, it is often musically important to consider sets that are equipped with an order relation (called ''segments''); in such contexts, bare sets are often referred to as "unordered", for the sake of emphasis. Two-element sets are called dyads, three-eleme ...
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Allen Forte
Allen, Allen's or Allens may refer to: Buildings * Allen Arena, an indoor arena at Lipscomb University in Nashville, Tennessee * Allen Center, a skyscraper complex in downtown Houston, Texas * Allen Fieldhouse, an indoor sports arena on the University of Kansas campus in Lawrence * Allen House (other) * Allen Power Plant (other) Businesses *Allen (brand), an American tool company *Allen's, an Australian brand of confectionery * Allens (law firm), an Australian law firm formerly known as Allens Arthur Robinson *Allen's (restaurant), a former hamburger joint and nightclub in Athens, Georgia, United States *Allen & Company LLC, a small, privately held investment bank *Allens of Mayfair, a butcher shop in London from 1830 to 2015 *Allens Boots, a retail store in Austin, Texas * Allens, Inc., a brand of canned vegetables based in Arkansas, US, now owned by Del Monte Foods * Allen's department store, a.k.a. Allen's, George Allen, Inc., Philadelphia, USA People * Allen ...
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Joseph N
Joseph is a common male given name, derived from the Hebrew Yosef (יוֹסֵף). "Joseph" is used, along with "Josef", mostly in English, French and partially German languages. This spelling is also found as a variant in the languages of the modern-day Nordic countries. In Portuguese and Spanish, the name is "José". In Arabic, including in the Quran, the name is spelled '' Yūsuf''. In Persian, the name is "Yousef". The name has enjoyed significant popularity in its many forms in numerous countries, and ''Joseph'' was one of the two names, along with ''Robert'', to have remained in the top 10 boys' names list in the US from 1925 to 1972. It is especially common in contemporary Israel, as either "Yossi" or "Yossef", and in Italy, where the name "Giuseppe" was the most common male name in the 20th century. In the first century CE, Joseph was the second most popular male name for Palestine Jews. In the Book of Genesis Joseph is Jacob's eleventh son and Rachel's first son, and k ...
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