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Chromatic Hexachord
In music theory, the chromatic hexachord is the hexachord consisting of a consecutive six-note segment of the chromatic scale. It is the first hexachord as ordered by Forte number, and its complement is the chromatic hexachord at the tritone. For example, zero through five and six through eleven. On C: *C, C, D, D, E, F and *F, G, G, A, A, B. This is the first of the six hexachords identified by Milton Babbitt as all-combinatorial source sets, a "source set" being "a set considered only in terms of the content of its hexachords, and whose combinatorial characteristics are independent of the ordering imposed on this content" . In the larger context of thirty-five source hexachords catalogued by Donald Martino, it is designated "Type A" . Applying the circle of fifths transformation to the chromatic hexachord produces the diatonic hexachord . As with the diatonic scale, the chromatic hexachord is, "hierarchical in interval makeup," and may also be produced by, or contains, 3-1, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Root (chord)
In music theory, the concept of root is the idea that a chord (music), chord can be represented and named by one of its Musical note, notes. It is linked to Harmony (music), harmonic thinking—the idea that vertical aggregates of notes can form a single unit, a chord. It is in this sense that one speaks of a "C chord" or a "chord on C"—a chord built from C and of which the note (or pitch) C is the root. When a chord is referred to in Classical music or popular music without a reference to what type of chord it is (either major or minor, in most cases), it is assumed a major triad, which for C contains the notes C, E and G. The root need not be the bass note, the lowest note of the chord: the concept of root is linked to that of the Inverted chord, inversion of chords, which is derived from the notion of Invertible Counterpoint, invertible counterpoint. In this concept, chords can be inverted while still retaining their root. In tertian harmonic theory, wherein chords can be con ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Donald Martino
Donald James Martino (May 16, 1931 – December 8, 2005) was a Pulitzer Prize winning American composer. Biography Born in Plainfield, New Jersey, Martino attended Plainfield High School. He began as a clarinetist, playing jazz for fun and profit. He attended Syracuse University, where he studied composition with Ernst Bacon, who encouraged him in that direction. He then attended Princeton University as a graduate student, where he worked with composers Roger Sessions and Milton Babbitt. He also studied with Luigi Dallapiccola in Italy as a Fulbright Scholar. He became a lecturer and teacher himself, working with students at Yale University, the New England Conservatory of Music (where he became chair of the composition department), Brandeis University, and Harvard University. He won the Pulitzer Prize for music in 1974 for his chamber work ''Notturno''. In 1991, the journal ''Perspectives of New Music'' published a 292-page tribute to Martino. Martino died in Antigua in 2 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Anton Webern
Anton Friedrich Wilhelm von Webern (3 December 188315 September 1945), better known as Anton Webern (), was an Austrian composer and conductor whose music was among the most radical of its milieu in its sheer concision, even aphorism, and steadfast embrace of then novel atonal and twelve-tone techniques. With his mentor Arnold Schoenberg and his colleague Alban Berg, Webern was at the core of those within the broader circle of the Second Viennese School. Little known in the earlier part of his life, mostly as a student and follower of Schoenberg, but also as a peripatetic and often unhappy theater music director with a mixed reputation as an exacting conductor, Webern came to some prominence and increasingly high regard as a vocal coach, choirmaster, conductor, and teacher during Red Vienna. With Schoenberg away at the Prussian Academy of Arts (and with the benefit of a publication agreement secured through Universal Edition), Webern began writing music of increasing confidenc ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Igor Stravinsky
Igor Fyodorovich Stravinsky (6 April 1971) was a Russian composer, pianist and conductor, later of French (from 1934) and American (from 1945) citizenship. He is widely considered one of the most important and influential composers of the 20th century and a pivotal figure in modernist music. Stravinsky's compositional career was notable for its stylistic diversity. He first achieved international fame with three ballets commissioned by the impresario Sergei Diaghilev and first performed in Paris by Diaghilev's Ballets Russes: ''The Firebird'' (1910), ''Petrushka'' (1911), and ''The Rite of Spring'' (1913). The last transformed the way in which subsequent composers thought about rhythmic structure and was largely responsible for Stravinsky's enduring reputation as a revolutionary who pushed the boundaries of musical design. His "Russian phase", which continued with works such as '' Renard'', ''L'Histoire du soldat,'' and ''Les noces'', was followed in the 1920s by a period ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Luigi Nono
Luigi Nono (; 29 January 1924 – 8 May 1990) was an Italian avant-garde composer of classical music. Biography Early years Nono, born in Venice, was a member of a wealthy artistic family; his grandfather was a notable painter. Nono began music lessons with Gian Francesco Malipiero at the Venice Conservatory in 1941, where he acquired knowledge of the Renaissance madrigal tradition, amongst other styles. After graduating with a degree in law from the University of Padua, he was given encouragement in composition by Bruno Maderna. Through Maderna, he became acquainted with Hermann Scherchen—then Maderna's conducting teacher—who gave Nono further tutelage and was an early mentor and advocate of his music. Scherchen presented Nono's first acknowledged work, the ''Variazioni canoniche sulla serie dell'op. 41 di A. Schönberg'' in 1950, at the Internationale Ferienkurse für Neue Musik Darmstadt. The ''Variazioni canoniche'', based on the twelve-tone series of Arnold Sc ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ernst Krenek
Ernst Heinrich Krenek (, 23 August 1900 – 22 December 1991) was an Austrian, later American, composer of Czech origin. He explored atonality and other modern styles and wrote a number of books, including ''Music Here and Now'' (1939), a study of Johannes Ockeghem (1953), and ''Horizons Circled: Reflections on my Music'' (1974). Krenek wrote two pieces using the pseudonym Thornton Winsloe. Life Born Ernst Heinrich Křenek in Vienna (then in Austria-Hungary), he was the son of a Czech soldier in the Austro-Hungarian army. He studied there and in Berlin with Franz Schreker before working in a number of German opera houses as conductor. During World War I, Krenek was drafted into the Austrian army, but he was stationed in Vienna, allowing him to go on with his musical studies. In 1922 he met Alma Mahler, widow of Gustav Mahler, and her daughter, Anna, to whom he dedicated his Symphony No. 2, and whom he married in January 1924. That marriage ended in divorce before its first anni ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Alban Berg
Alban Maria Johannes Berg ( , ; 9 February 1885 – 24 December 1935) was an Austrian composer of the Second Viennese School. His compositional style combined Romantic lyricism with the twelve-tone technique. Although he left a relatively small ''oeuvre'', he is remembered as one of the most important composers of the 20th century for his expressive style encompassing "entire worlds of emotion and structure". Berg was born and lived in Vienna. He began to compose only at the age of fifteen. He studied counterpoint, music theory and harmony with Arnold Schoenberg between 1904 and 1911, and adopted his principles of ''developing variation'' and the twelve-tone technique. Berg's major works include the operas ''Wozzeck'' (1924) and ''Lulu'' (1935, finished posthumously), the chamber pieces '' Lyric Suite'' and Chamber Concerto, as well as a Violin Concerto. He also composed a number of songs ('' lieder''). He is said to have brought more "human values" to the twelve-tone system, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Permutation (music)
In music, a permutation (order) of a set is any ordering of the elements of that set. A specific arrangement of a set of discrete entities, or parameters, such as pitch, dynamics, or timbre. Different permutations may be related by transformation, through the application of zero or more ''operations'', such as transposition, inversion, retrogradation, circular permutation (also called ''rotation''), or multiplicative operations (such as the cycle of fourths and cycle of fifths transforms). These may produce reorderings of the members of the set, or may simply map the set onto itself. Order is particularly important in the theories of composition techniques originating in the 20th century such as the twelve-tone technique and serialism. Analytical techniques such as set theory take care to distinguish between ordered and unordered collections. In traditional theory concepts like voicing and form include ordering; for example, many musical forms, such as rondo, are defined by t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Klavierstücke (Stockhausen)
The ''Klavierstücke'' (German for "Piano Pieces") constitute a series of nineteen compositions by German composer Karlheinz Stockhausen. Stockhausen has said the ''Klavierstücke'' "are my ''drawings''". Originating as a set of four small pieces composed between February and June 1952, Stockhausen later formulated a plan for a large cycle of 21 ''Klavierstücke'', in sets of 4 + 6 + 1 + 5 + 3 + 2 pieces. He composed the second set in 1954–55 (''VI'' was subsequently revised several times and ''IX'' and ''X'' were finished only in 1961), and the single ''Klavierstück XI'' in 1956. Beginning in 1979, he resumed composing ''Klavierstücke'' and finished eight more, but appears to have abandoned the plan for a set of 21 pieces. The pieces from ''XV'' onward are for the synthesizer or similar electronic instruments, which Stockhausen had come to regard as the natural successor to the piano. The dimensions vary considerably, from a duration of less than half a minute for ''Klavierst ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Kreuzspiel
(Crossplay) is a composition by Karlheinz Stockhausen written for oboe, bass clarinet, piano and four percussionists in 1951 (it was later revised for just three percussionists, along with other changes). It is assigned the number 1/7 in the composer's catalogue of works. History Stockhausen regarded ''Kreuzspiel'' as his first original composition, as opposed to the style-imitation exercises he did as part of his music studies. According to the composer, it was influenced by Olivier Messiaen's " Mode de valeurs et d'intensités" (1949) and Karel Goeyvaerts's Sonata for Two Pianos (1950), and is one of the earliest examples of "point" music. ''Kreuzspiel'' was premièred at the Darmstädter Ferienkurse in the summer of 1952, conducted by the composer. According to Stockhausen, the performance "ended in a scandal". Analysis ''Kreuzspiel'' has been analysed in print more often than any other work by Stockhausen, though all but one restrict themselves to just the first of its thre ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Karlheinz Stockhausen
Karlheinz Stockhausen (; 22 August 1928 – 5 December 2007) was a German composer, widely acknowledged by critics as one of the most important but also controversial composers of the 20th and early 21st centuries. He is known for his groundbreaking work in electronic music, for introducing controlled chance ( aleatory techniques) into serial composition, and for musical spatialization. He was educated at the Hochschule für Musik Köln and the University of Cologne, later studying with Olivier Messiaen in Paris and with Werner Meyer-Eppler at the University of Bonn. One of the leading figures of the Darmstadt School, his compositions and theories were and remain widely influential, not only on composers of art music, but also on jazz and popular music. His works, composed over a period of nearly sixty years, eschew traditional forms. In addition to electronic music—both with and without live performers—they range from miniatures for musical boxes through works for s ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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