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Nonachord
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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 referred ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Set Theory (music)
Musical set theory provides concepts for categorizing musical objects and describing their relationships. Howard Hanson first elaborated many of the concepts for analyzing tonal music. Other theorists, such as Allen Forte, further developed the theory for analyzing atonal music, drawing on the twelve-tone theory of Milton Babbitt. The concepts of musical set theory are very general and can be applied to tonal and atonal styles in any equal temperament tuning system, and to some extent more generally than that. One branch of musical set theory deals with collections ( sets and permutations) of pitches and pitch classes (pitch-class set theory), which may be ordered or unordered, and can be related by musical operations such as transposition, melodic inversion, and complementation. Some theorists apply the methods of musical set theory to the analysis of rhythm as well. Mathematical set theory versus musical set theory Although musical set theory is often thought to involve ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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, 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, full name José Antonio D ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Time-point
In music a time point or ''timepoint'' (point in time) is "an instant, analogous to a geometrical point in space". Because it has no 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 pitch simultaneity", therefore the beginning of a sound, rather than its duration. It may also designate the release of a 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 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 durations of the sounding notes which may be either shorter than the time-point interval (res ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 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. The technique is a means of ensuring that all 12 notes of the chromatic scale are sounded as often as one another 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. Over time, the technique increased greatly in popularity and eventually became widely influential on 20th-cent ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Concerto For Nine Instruments (Webern)
Anton Webern's Concerto for Nine Instruments, Op. 24 (German: Konzert für neun Instrumente), written in 1934, is a twelve-tone concerto for nine instruments: flute, oboe, clarinet, horn, trumpet, trombone, violin, viola, and piano. It consists of three movements: The concerto is based on a derived row, "often cited Milton_Babbitt.html"_;"title="uch_as_by_Milton_Babbitt">uch_as_by_Milton_Babbitt_(1972)as_a_paragon_of_symmetry.html" "title="Milton_Babbitt_(1972).html" ;"title="Milton_Babbitt.html" ;"title="uch as by Milton Babbitt">uch as by Milton Babbitt (1972)">Milton_Babbitt.html" ;"title="uch as by Milton Babbitt">uch as by Milton Babbitt (1972)as a paragon of symmetry">symmetrical construction".Bailey (1996), p.246. The tone row is shown below. Whittall, Arnold. 2008. ''The Cambridge Introduction to Serialism. Cambridge Introductions to Music'', p. 97. New York: Cambridge University Press. (pbk). : In the words of Luigi Dallapiccola, the concerto is "a work of incredi ... [...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] |
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. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Retrograde Inversion
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 labeled them RI in his sket ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 rests ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Melodic Inversion
In music theory, an inversion is a type of change to intervals, chords, voices (in counterpoint), and melodies. 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 positions of the notes reverse (i.e. 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 augmented ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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