Hexad (chord)
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Hexad (chord)
In music, a hexachord (also hexachordon) is a six-note series, as exhibited in a scale (hexatonic or hexad) or tone row. The term was adopted in this sense during the Middle Ages and adapted in the 20th century in Milton Babbitt's serial theory. The word is taken from the gr, ἑξάχορδος, compounded from ἕξ (''hex'', six) and χορδή (''chordē'', string f the lyre whence "note"), and was also the term used in music theory up to the 18th century for the interval of a sixth ("hexachord major" being the major sixth and "hexachord minor" the minor sixth). Middle Ages The hexachord as a mnemonic device was first described by Guido of Arezzo, in his ''Epistola de ignoto cantu''. In each hexachord, all adjacent pitches are a whole tone apart, except for the middle two, which are separated by a semitone. These six pitches are named ''ut'', ''re'', ''mi'', ''fa'', ''sol'', and ''la'', with the semitone between ''mi'' and ''fa''. These six names are derived from the fir ...
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Schoenberg - Die Jakobsleiter Opening Hexachord
Arnold Schoenberg or Schönberg (, ; ; 13 September 187413 July 1951) was an Austrian-American composer, music theorist, teacher, writer, and painter. He is widely considered one of the most influential composers of the 20th century. He was associated with the expressionist movement in German poetry and art, and leader of the Second Viennese School. As a Jewish composer, Schoenberg was targeted by the Nazi Party, which labeled his works as degenerate music and forbade them from being published. He immigrated to the United States in 1933, becoming an American citizen in 1941. Schoenberg's approach, bοth in terms of harmony and development, has shaped much of 20th-century musical thought. Many composers from at least three generations have consciously extended his thinking, whereas others have passionately reacted against it. Schoenberg was known early in his career for simultaneously extending the traditionally opposed German Romantic styles of Brahms and Wagner. Later, his ...
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Stanley Sadie
Stanley John Sadie (; 30 October 1930 – 21 March 2005) was an influential and prolific British musicologist, music critic, and editor. He was editor of the sixth edition of the '' Grove Dictionary of Music and Musicians'' (1980), which was published as the first edition of ''The New Grove Dictionary of Music and Musicians''. Along with Thurston Dart, Nigel Fortune and Oliver Neighbour he was one of Britain's leading musicologists of the post-World War II generation. Career Born in Wembley, Sadie was educated at St Paul's School, London, and studied music privately for three years with Bernard Stevens. At Gonville and Caius College, Cambridge he read music under Thurston Dart. Sadie earned Bachelor of Arts and Bachelor of Music degrees in 1953, a Master of Arts degree in 1957, and a PhD in 1958. His doctoral dissertation was on mid-eighteenth-century British chamber music. After Cambridge, he taught at Trinity College of Music, London (1957–1965). Sadie then turned to musi ...
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Guidonian Hand
In medieval music, the Guidonian hand was a mnemonic device used to assist singers in learning to sight-sing. Some form of the device may have been used by Guido of Arezzo, a medieval music theorist who wrote a number of treatises, including one instructing singers in sightreading. The hand occurs in some manuscripts before Guido's time as a tool to find the semitone; it does not have the depicted form until the 12th century. Sigebertus Gemblacensis in 1105–1110 did describe Guido using the joints of the hand to aid in teaching his hexachord. The Guidonian hand is closely linked with Guido's new ideas about how to learn music, including the use of hexachords, and the first known Western use of solfège. Theory The idea of the Guidonian hand is that each portion of the hand represents a specific note within the hexachord system, which spans nearly three octaves from "Γ ''ut''" (that is, "Gamma ''ut''") (the contraction of which is "Gamut", which can refer to the entire span) ...
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Musica Ficta
''Musica ficta'' (from Latin, "false", "feigned", or "fictitious" music) was a term used in European music theory from the late 12th century to about 1600 to describe pitches, whether notated or added at the time of performance, that lie outside the system of ''musica recta'' or ''musica vera'' ("correct" or "true" music) as defined by the hexachord system of Guido of Arezzo. Modern use Today, the term is often loosely applied to all unnotated inflections (whether they are actually ''recta'' or ''ficta'' notes; see below) that must be inferred from the musical context and added either by an editor or by performers themselves. However, some of the words used in modern reference books to represent ''musica ficta'', such as "inflection", "alteration", and "added accidentals" lie outside the way many Medieval and Renaissance theorists described the term. Historical sense and relation to hexachords Throughout the period that incorporated ''musica ficta'', singers sight read melodies ...
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Hexatonic Scale
In music and music theory, a hexatonic scale is a scale with six pitches or notes per octave. Famous examples include the whole-tone scale, C D E F G A C; the augmented scale, C D E G A B C; the Prometheus scale, C D E F A B C; and the blues scale, C E F G G B C. A hexatonic scale can also be formed by stacking perfect fifths. This results in a diatonic scale with one note removed (for example, A C D E F G). Whole-tone scale The whole-tone scale is a series of whole tones. It has two non-enharmonically equivalent positions: C D E F G A C and D E F G A B D. It is primarily associated with the French impressionist composer Claude Debussy, who used it in such pieces of his as ''Voiles'' and ''Le vent dans la plaine'', both from his first book of piano '' Préludes''. This whole-tone scale has appeared occasionally and sporadically in jazz at least since Bix Beiderbecke's impressionistic piano piece ''In a Mist''. Bop pianist Thelonious Monk often interpolated whole-tone scale flo ...
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Carlton Gamer
Carlton Gamer (born February 13, 1929 in Chicago, Illinois) is an American composer and music theorist. He has taught at Colorado College, Princeton University, and the University of Michigan. He studied at Northwestern University and Boston University and privately with Roger Sessions. Gamer has composed more than seventy works in a variety of categories, including songs, music for dance, solo piano pieces, chamber music, choral works, orchestral works, and computer music. Career His music has been featured in New York's Carnegie Recital Hall, the Kennedy Center in Washington, D.C., the Los Angeles County Museum of Art, and in some sixty other venues throughout the U.S. Among its presenters have been the International Society of Contemporary Music, the Society of Composers, Inc., the Current and Modern Consort of the University of Michigan School of Music, the College Music Society, and the John F. Kennedy Center for the Performing Arts—Rockefeller Foundation International Compe ...
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David Lewin
David Benjamin Lewin (July 2, 1933 – May 5, 2003) was an American music theorist, music critic and composer. Called "the most original and far-ranging theorist of his generation", he did his most influential theoretical work on the development of transformational theory, which involves the application of mathematical group theory to music. Biography Lewin was born in New York City and studied piano from a young age and was for a time a pupil of Eduard Steuermann. He graduated from Harvard in 1954 with a degree in mathematics. Lewin then studied theory and composition with Roger Sessions, Milton Babbitt, Edward T. Cone, and Earl Kim at Princeton University, earning an M.F.A. in 1958. He returned to Harvard as a Junior Fellow in the Harvard Society of Fellows from 1958 to 1961. After holding teaching positions at the University of California, Berkeley (1961–67), the State University of New York at Stony Brook (1967–79), and Yale University (1979–85), he returned to Harvard as ...
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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, music theorist, and champion of American classical music. As director for 40 years of the Eastman School of Music, he built a high-quality school and provided opportunities for commissioning and performing American 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.''Howard Hanson in Theory and Practice'' Allen Laurence Cohen, Praeger Publishers, CT., 2004 p.17Howard Hanson, Peabody Award, "Milestones in American Music", "Milestones in the History of Music" on books.google.com/ref> 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 ...
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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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Hauer Trope
Hauer is a surname, and may refer to: * Brett Hauer (born 1971), American ice hockey player * Elena Hauer (born 1986), German footballer * Erwin Hauer (1926-2017), Austrian-born American sculptor * Franz Ritter von Hauer (1822–1899), Austrian geologist * Jakob Wilhelm Hauer (1881–1962), founder of the German Faith Movement * Jerome Hauer, American politician and businessman * Joachim Hauer (born 1991), Norwegian ski jumper * Josef Matthias Hauer (1883–1959), Austrian composer and music theorist * Karen Hauer (born 1982), Venezuelan dancer * Matthias Hauer (born 1977), German politician * Rutger Hauer (1944–2019), Dutch actor * Torodd Hauer (1922–2010), Norwegian speed skater See also * Hauer, Wisconsin Sand Lake is a town in Sawyer County, Wisconsin, United States. The population was 774 at the 2000 census. The census-designated place of Stone Lake is located partially in the town. The unincorporated community of Hauer is also located in the to ..., unincorporated ...
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Musica Ficta
''Musica ficta'' (from Latin, "false", "feigned", or "fictitious" music) was a term used in European music theory from the late 12th century to about 1600 to describe pitches, whether notated or added at the time of performance, that lie outside the system of ''musica recta'' or ''musica vera'' ("correct" or "true" music) as defined by the hexachord system of Guido of Arezzo. Modern use Today, the term is often loosely applied to all unnotated inflections (whether they are actually ''recta'' or ''ficta'' notes; see below) that must be inferred from the musical context and added either by an editor or by performers themselves. However, some of the words used in modern reference books to represent ''musica ficta'', such as "inflection", "alteration", and "added accidentals" lie outside the way many Medieval and Renaissance theorists described the term. Historical sense and relation to hexachords Throughout the period that incorporated ''musica ficta'', singers sight read melodies ...
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Gamut (music)
Diatonic and chromatic are terms in music theory that are most often used to characterize scales, and are also applied to musical instruments, intervals, chords, notes, musical styles, and kinds of harmony. They are very often used as a pair, especially when applied to contrasting features of the common practice music of the period 1600–1900. These terms may mean different things in different contexts. Very often, ''diatonic'' refers to musical elements derived from the modes and transpositions of the "white note scale" C–D–E–F–G–A–B. In some usages it includes all forms of heptatonic scale that are in common use in Western music (the major, and all forms of the minor). ''Chromatic'' most often refers to structures derived from the twelve-note chromatic scale, which consists of all semitones. Historically, however, it had other senses, referring in Ancient Greek music theory to a particular tuning of the tetrachord, and to a rhythmic notational convention in me ...
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