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Hexachord
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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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) ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Combinatoriality
In music using the twelve tone technique, combinatoriality is a quality shared by twelve-tone tone rows whereby each section of a row and a proportionate number of its transformations combine to form aggregates (all twelve tones). Whittall, Arnold. 2008. ''The Cambridge Introduction to Serialism. Cambridge Introductions to Music'', p. 272. New York: Cambridge University Press. (hardback) (pbk). Much as the pitches of an aggregate created by a tone row do not need to occur simultaneously, the pitches of a combinatorially created aggregate need not occur simultaneously. Arnold Schoenberg, creator of the twelve-tone technique, often combined P-0/I-5 to create "two aggregates, between the first hexachords of each, and the second hexachords of each, respectively." Combinatoriality is a side effect of derived rows, where the initial segment or set may be combined with its transformations (T,R,I,RI) to create an entire row. "Derivation refers to a process whereby, for instance, the ini ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Guido Of Arezzo
Guido of Arezzo ( it, Guido d'Arezzo; – after 1033) was an Italian music theorist and pedagogue of High medieval music. A Benedictine monk, he is regarded as the inventor—or by some, developer—of the modern staff notation that had a massive influence on the development of Western musical notation and practice. Perhaps the most significant European writer on music between Boethius and Johannes Tinctoris, after the former's ''De institutione musica'', Guido's ''Micrologus'' was most widely distributed medieval treatise on music. Biographical information on Guido is only available from two contemporary documents; though they give limited background, a basic understanding of his life can be unraveled. By around 1013 he began teaching at Pomposa Abbey, but his antiphonary ''Prologus in antiphonarium'' and novel teaching methods based on staff notation brought considerable resentment from his colleagues. He thus moved to Arezzo in 1025 and under the patronage of Bishop Ted ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Middle Ages
In the history of Europe, the Middle Ages or medieval period lasted approximately from the late 5th to the late 15th centuries, similar to the post-classical period of global history. It began with the fall of the Western Roman Empire and transitioned into the Renaissance and the Age of Discovery. The Middle Ages is the middle period of the three traditional divisions of Western history: classical antiquity, the medieval period, and the modern period. The medieval period is itself subdivided into the Early, High, and Late Middle Ages. Population decline, counterurbanisation, the collapse of centralized authority, invasions, and mass migrations of tribes, which had begun in late antiquity, continued into the Early Middle Ages. The large-scale movements of the Migration Period, including various Germanic peoples, formed new kingdoms in what remained of the Western Roman Empire. In the 7th century, North Africa and the Middle East—most recently part of the Eastern Ro ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Perfect Fifth
In music theory, a perfect fifth is the Interval (music), musical interval corresponding to a pair of pitch (music), pitches with a frequency ratio of 3:2, or very nearly so. In classical music from Western culture, a fifth is the interval from the first to the last of five consecutive Musical note, notes in a diatonic scale. The perfect fifth (often abbreviated P5) spans seven semitones, while the Tritone, diminished fifth spans six and the augmented fifth spans eight semitones. For example, the interval from C to G is a perfect fifth, as the note G lies seven semitones above C. The perfect fifth may be derived from the Harmonic series (music), harmonic series as the interval between the second and third harmonics. In a diatonic scale, the dominant (music), dominant note is a perfect fifth above the tonic (music), tonic note. The perfect fifth is more consonance and dissonance, consonant, or stable, than any other interval except the unison and the octave. It occurs above the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
