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Set (music)
A set (pitch set, pitch-class set, set class, set form, set genus, pitch collection) in music theory, as in Set (mathematics), mathematics and general parlance, is a collection of objects. In Set theory (music), musical contexts the term is traditionally applied most often to collections of pitches or Pitch class, pitch-classes, but theorists have extended its use to other types of musical entities, so that one may speak of sets of rhythm, 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 wikt:ordering, ordering or permutation (music), 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 referre ...
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Nono - Variazioni Canoniche, Rhythmic Values Row
Nono may refer to: Places * Nono, Argentina, a municipality in the Province of Córdoba * Nono, Ecuador, a parish in the municipality of Quito in the province of Pichincha * Nono, Illubabor, Oromia (woreda), Ethiopia, or Nono Sele ** Nono, Illubabor, Oromia (town), in Nono woreda * Nono, West Shewa, Oromia, Ethiopia, a woreda Animals * Black nono (''Simulium buissoni''), a midge species on the Marquesas Islands in Polynesia, with the common name nono or no-no * White nono (''Leptoconops albiventris''), a midge species on the Marquesas Islands in Polynesia, with the common name nono or no-no People * Nonô (footballer, born 1899), Nonô (footballer, 1899–1931), full name Claudionor Gonçalves da Silva, Brazilian football forward * Nonô (footballer, born 1940), full name Cláudionor Reinaldo Franco, Brazilian football defender * Nono (footballer, born 1991), a Spanish winger for CD Tenerife, full name David González Plata * Nono (footballer, born 1993), a Spanish midfielder, f ...
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Time-point
In music a time point or ''timepoint'' (point (geometry), point in time) is "an instant, analogous to a geometrical point in space". Because it has no duration (music), duration, it literally cannot be heard, but it may be used to represent "the point of initiation of a single pitch, the repetition of a pitch, or a simultaneity (music), pitch simultaneity", therefore the beginning of a sound, rather than its duration. It may also designate the release of a Musical note, note or the point within a note at which something changes (such as dynamic level). Other terms often used in music theory and analysis are ''Attack (music), attack point''Lejaren Hiller and Ramon Fuller, "Structure and Information in Webern's Symphonie, Op. 21", ''Journal of Music Theory'' 11, no. 1 (Spring 1967): 60–115. Citation on p. 94. and ''starting point''. Milton Babbitt calls the distance from one time point, attack, or starting point to the next a ''time-point interval'', independent of the duration ...
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Normal Form (music)
A set (pitch set, pitch-class set, set class, set form, set genus, pitch collection) in music theory, as in Set (mathematics), mathematics and general parlance, is a collection of objects. In Set theory (music), musical contexts the term is traditionally applied most often to collections of pitches or Pitch class, pitch-classes, but theorists have extended its use to other types of musical entities, so that one may speak of sets of rhythm, 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 wikt:ordering, ordering or permutation (music), 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 referre ...
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Invariance (music)
The twelve-tone technique—also known as dodecaphony, twelve-tone serialism, and (in British usage) twelve-note composition—is a method of musical composition. The technique is a means of ensuring that all 12 notes of the chromatic scale are sounded equally often in a piece of music while preventing the emphasis of any one notePerle 1977, 2. through the use of tone rows, orderings of the 12 pitch classes. All 12 notes are thus given more or less equal importance, and the music avoids being in a key. The technique was first devised by Austrian composer Josef Matthias Hauer, who published his "law of the twelve tones" in 1919. In 1923, Arnold Schoenberg (1874–1951) developed his own, better-known version of 12-tone technique, which became associated with the "Second Viennese School" composers, who were the primary users of the technique in the first decades of its existence. Over time, the technique increased greatly in popularity and eventually became widely influential ...
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Concerto For Nine Instruments (Webern)
Anton Webern's Concerto for Nine Instruments, Op. 24 (German: Konzert für neun Instrumente) is a twelve-tone chamber piece composed in 1934. Its tone row is one of the most notable in history. The piece is admired for its extreme concision and is considered a hallmark in the development of total serialism. Composition By the late 1920s, Webern had developed an extraordinary application of Arnold Schoenberg's twelve-tone technique in works like ''String Trio'' (1927), ''Symphony'' (1928), and ''Quartet'' (1932).Puffett, Kathryn Bailey. "Webern, Anton". ''Grove Music Online''. 2001. Webern began sketching an orchestral work on January 16, 1931. In early February, Webern began attempting to create a melodic equivalent of a Sator Square. Webern had long been enamored of the square. In addition to writing "tenet" in his first sketch for the ''Concerto'', he ended his lectures about new music by quoting it to his audience.Webern, Anton. The Path to the New Music'. Edited by Willi Rei ...
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Anton Webern
Anton Webern (; 3 December 1883 – 15 September 1945) was an Austrian composer, conductor, and musicologist. His music was among the most radical of its milieu in its lyric poetry, lyrical, poetic concision and use of then novel atonality, atonal and twelve-tone technique, twelve-tone techniques. His approach was typically rigorous, inspired by his studies of the Franco-Flemish School under Guido Adler and by Arnold Schoenberg's emphasis on structure in teaching composition from the music of Johann Sebastian Bach, the First Viennese School, and Johannes Brahms. Webern, Schoenberg, and their colleague Alban Berg were at the core of what became known as the Second Viennese School. Webern was arguably the first and certainly the last of the three to write music in an Aphorism, aphoristic and Expressionist music, expressionist style, reflecting his instincts and the idiosyncrasy of his compositional process. He treated themes of love, loss, nature, and spirituality, working from his ...
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Derived Row
In music using the twelve-tone technique, derivation is the construction of a row through segments. A derived row is a tone row whose entirety of twelve tones is constructed from a segment or portion of the whole, the generator. Anton Webern often used derived rows in his pieces. A partition is a segment created from a set through partitioning. Derivation Rows may be derived from a sub-set of any number of pitch classes that is a divisor of 12, the most common being the first three pitches or a trichord. This segment may then undergo transposition, inversion, retrograde, or any combination to produce the other parts of the row (in this case, the other three segments). One of the side effects of derived rows is invariance. For example, since a segment may be equivalent to the generating segment inverted and transposed, say, 6 semitones, when the entire row is inverted and transposed six semitones the generating segment will now consist of the pitch classes of the derived segment ...
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Retrograde Inversion
In music theory, retrograde inversion is a musical term that literally means "backwards and upside down": "The inverse of the series is sounded in reverse order." Retrograde reverses the order of the motif's pitches: what was the first pitch becomes the last, and vice versa. This is a technique used in music, specifically in twelve-tone technique, where the inversion and retrograde techniques are performed on the same tone row successively, " e inversion of the prime series in reverse order from last pitch to first." Conventionally, inversion is carried out first, and the inverted form is then taken backward to form the retrograde inversion, so that the untransposed retrograde inversion ends with the pitch that began the prime form of the series. In his late twelve-tone works, however, Igor Stravinsky preferred the opposite order, so that his row charts use inverse retrograde (IR) forms for his source sets, instead of retrograde inversions (RI), although he sometimes labele ...
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Retrograde (music)
A melodic line that is the reverse of a previously or simultaneously stated line is said to be its retrograde or cancrizans ( "walking backward", medieval Latin, from ''cancer'' "crab"). An exact retrograde includes both the pitches and rhythms in reverse. An even more exact retrograde reverses the physical contour of the notes themselves, though this is possible only in electronic music. Some composers choose to subject just the pitches of a musical line to retrograde, or just the rhythms. In twelve-tone music, reversal of the pitch classes alone—regardless of the melodic contour created by their registral placement—is regarded as a retrograde. In modal and tonal music In treatises Retrograde was not mentioned in theoretical treatises prior to 1500.Newes, p. 218. Nicola Vicentino (1555) discussed the difficulty in finding canonic imitation: "At times, the fugue or canon cannot be discovered through the systems mentioned above, either because of the impediment of ...
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Melodic Inversion
In music theory, an inversion is a rearrangement of the top-to-bottom elements in an interval, a chord, a melody, or a group of contrapuntal lines of music. In each of these cases, "inversion" has a distinct but related meaning. The concept of inversion also plays an important role in musical set theory. Intervals An interval is inverted by raising or lowering either of the notes by one or more octaves so that the higher note becomes the lower note and vice versa. For example, the inversion of an interval consisting of a C with an E above it (the third measure below) is an E with a C above it – to work this out, the C may be moved up, the E may be lowered, or both may be moved. : The tables to the right show the changes in interval quality and interval number under inversion. Thus, perfect intervals remain perfect, major intervals become minor and vice versa, and augmented intervals become diminished and vice versa. (Doubly diminished intervals become doubly augme ...
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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-ele ...
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Twelve-tone Technique
The twelve-tone technique—also known as dodecaphony, twelve-tone serialism, and (in British usage) twelve-note composition—is a method of musical composition. The technique is a means of ensuring that all 12 notes of the chromatic scale are sounded equally often in a piece of music while preventing the emphasis of any one notePerle 1977, 2. through the use of tone rows, orderings of the 12 pitch classes. All 12 notes are thus given more or less equal importance, and the music avoids being in a Key (music), key. The technique was first devised by Austrian composer Josef Matthias Hauer, who published his "law of the twelve tones" in 1919. In 1923, Arnold Schoenberg (1874–1951) developed his own, better-known version of 12-tone technique, which became associated with the "Second Viennese School" composers, who were the primary users of the technique in the first decades of its existence. Over time, the technique increased greatly in popularity and eventually became widely ...
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