Matrix (music)
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Matrix (music)
In music, especially folk and popular music, a matrix is an element of variations which does not change. The term was derived from use in musical writings and from Arthur Koestler's '' The Act of Creation'', who defines creativity as the bisociation of two sets of ideas or matrices. Musical matrices may be combined in any number, usually more than two, and may be — and must be for analysis — broken down into smaller ones. They may be intended by the composer and perceived by the listener, or they may not, and they may be purposefully ambiguous. The simplest examples given by van der Merwe are fixed notes, definite intervals, and regular beats, while the most complex given are the Baroque fugue, Classical tonality, and Romantic chromaticism. The following examples are some matrices which are part of "Pop Goes the Weasel": *major mode *6/8 time *four-bar phrasing *regular beat *rhyming tune structure *ending both halves of the tune with the same figure *melodic climax *perfect c ...
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Music
Music is generally defined as the art of arranging sound to create some combination of form, harmony, melody, rhythm or otherwise expressive content. Exact definitions of music vary considerably around the world, though it is an aspect of all human societies, a cultural universal. While scholars agree that music is defined by a few specific elements, there is no consensus on their precise definitions. The creation of music is commonly divided into musical composition, musical improvisation, and musical performance, though the topic itself extends into academic disciplines, criticism, philosophy, and psychology. Music may be performed or improvised using a vast range of instruments, including the human voice. In some musical contexts, a performance or composition may be to some extent improvised. For instance, in Hindustani classical music, the performer plays spontaneously while following a partially defined structure and using characteristic motifs. In modal jazz ...
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Pop Goes The Weasel Melody
Pop or POP may refer to: Arts, entertainment, and media Music * Pop music, a musical genre Artists * POP, a Japanese idol group now known as Gang Parade * Pop!, a UK pop group * Pop! featuring Angie Hart, an Australian band Albums * ''Pop'' (Gas album) * ''Pop'' (Joachim Witt album) * ''Pop'' (Mao Abe album) * ''Pop'' (Same Difference album) * ''Pop'' (Tones on Tail album) * ''Pop'' (U2 album) * ''Pop'', an album by Topi Sorsakoski and Agents * ''P.O.P'', The Mad Capsule Markets album * ''Pop! The First 20 Hits'', an album by English duo Erasure Songs * "Pop" (song), by 'N Sync * "Pop", a song by A.R. Kane * "Pop", a song by Ari Lennox from ''Shea Butter Baby'' * "Pop", a song by La Oreja de Van Gogh from ''El viaje de Copperpot'' * "Pop!", a song by Nayeon from ''Im Nayeon'' Periodicals * ''Pop'' (fashion magazine), a British publication * ''Pop Magazine'', a sports magazine Television * Pop (American TV channel), formerly TVGN * Pop (British and Irish TV channel), f ...
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Popular Music
Popular music is music with wide appeal that is typically distributed to large audiences through the music industry. These forms and styles can be enjoyed and performed by people with little or no musical training.Popular Music. (2015). ''Funk & Wagnalls New World Encyclopedia'' It stands in contrast to both art music and traditional or "folk" music. Art music was historically disseminated through the performances of written music, although since the beginning of the recording industry, it is also disseminated through recordings. Traditional music forms such as early blues songs or hymns were passed along orally, or to smaller, local audiences. The original application of the term is to music of the 1880s Tin Pan Alley period in the United States. Although popular music sometimes is known as "pop music", the two terms are not interchangeable. Popular music is a generic term for a wide variety of genres of music that appeal to the tastes of a large segment of the population, ...
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Banjo Roll
In bluegrass music, a banjo roll or roll is a pattern played by the banjo that uses a repeating eighth-note arpeggio – a broken chord – that by subdividing the beat 'keeps time'. "Each standard"roll pattern is a ''right hand'' fingering pattern, consisting of eight (eighth) notes, which can be played while holding ''any'' chord position with the left hand." "When used as back-up, the same pattern can be repeated over and over throughout an entire song, (...ith chord changesas required), or the roll patterns can be combined with one another and with ack-up licks.. The roll patterns can also be used to embellish the vamping style of back-up, especially when the chords are played high... These roll patterns can be used as back-up for any song played at any tempo." The banjo is commonly played in open tunings, such as open G (as are all of the examples): G'DGBD', allowing rolls to be practiced on all open strings (without fretting). Rolls are a distinguishing characteris ...
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Serialism
In music, serialism is a method of Musical composition, composition using series of pitches, rhythms, dynamics, timbres or other elements of music, musical elements. Serialism began primarily with Arnold Schoenberg's twelve-tone technique, though some of his contemporaries were also working to establish serialism as a form of atonality, post-tonal thinking. Twelve-tone technique orders the twelve notes of the chromatic scale, forming a tone row, row or series and providing a unifying basis for a composition's melody, harmony, structural progressions, and variation (music), variations. Other types of serialism also work with set (music), sets, collections of objects, but not necessarily with fixed-order series, and extend the technique to other musical dimensions (often called "parameter (music), parameters"), such as duration (music), duration, Dynamics (music), dynamics, and timbre. The idea of serialism is also applied in various ways in the visual arts, design, and architectu ...
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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 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 (music), key. Over time, the technique increased greatly in popularity and eventually became widely influential ...
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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 ...
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Tone Row
In music, a tone row or note row (german: Reihe or '), also series or set, is a non-repetitive ordering of a set of pitch-classes, typically of the twelve notes in musical set theory of the chromatic scale, though both larger and smaller sets are sometimes found. History and usage Tone rows are the basis of Arnold Schoenberg's twelve-tone technique and most types of serial music. Tone rows were widely used in 20th-century contemporary music, like Dmitri Shostakovich's use of twelve-tone rows, "without dodecaphonic transformations." A tone row has been identified in the A minor prelude, BWV 889, from book II of J.S. Bach's ''The Well-Tempered Clavier'' (1742) and by the late eighteenth century it is found in works such as Mozart's C major String Quartet, K. 157 (1772), String Quartet in E-flat major, K. 428, String Quintet in G minor, K. 516 (1790), and the Symphony in G minor, K. 550 (1788). Beethoven also used the technique but, on the whole, "Mozart seems to have employe ...
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Permutation
In mathematics, a permutation of a set is, loosely speaking, an arrangement of its members into a sequence or linear order, or if the set is already ordered, a rearrangement of its elements. The word "permutation" also refers to the act or process of changing the linear order of an ordered set. Permutations differ from combinations, which are selections of some members of a set regardless of order. For example, written as tuples, there are six permutations of the set , namely (1, 2, 3), (1, 3, 2), (2, 1, 3), (2, 3, 1), (3, 1, 2), and (3, 2, 1). These are all the possible orderings of this three-element set. Anagrams of words whose letters are different are also permutations: the letters are already ordered in the original word, and the anagram is a reordering of the letters. The study of permutations of finite sets is an important topic in the fields of combinatorics and group theory. Permutations are used in almost every branch of mathematics, and in many other fields of scie ...
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Matrix (mathematics)
In mathematics, a matrix (plural matrices) is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object. For example, \begin1 & 9 & -13 \\20 & 5 & -6 \end is a matrix with two rows and three columns. This is often referred to as a "two by three matrix", a "-matrix", or a matrix of dimension . Without further specifications, matrices represent linear maps, and allow explicit computations in linear algebra. Therefore, the study of matrices is a large part of linear algebra, and most properties and operations of abstract linear algebra can be expressed in terms of matrices. For example, matrix multiplication represents composition of linear maps. Not all matrices are related to linear algebra. This is, in particular, the case in graph theory, of incidence matrices, and adjacency matrices. ''This article focuses on matrices related to linear algebra, and, unle ...
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Primary Triad
In music, a primary triad is one of the three triads, or three-note chords built from major or minor thirds, most important in tonal and diatonic music, as opposed to an auxiliary triad or secondary triad. Each triad found in a diatonic key corresponds to a particular diatonic function. Functional harmony tends to rely heavily on the primary triads: triads built on the tonic, subdominant, and dominant degrees.Harrison, Daniel (1994). ''Harmonic Function in Chromatic Music: A Renewed Dualist Theory and an Account of its Precedents'', p.45. . Cited in Deborah Rifkin. "A Theory of Motives for Prokofiev's Music", p.274, ''Music Theory Spectrum'', Vol. 26, No. 2 (Autumn, 2004), pp. 265-289. University of California Press on behalf of the Society for Music Theory The roots of these triads begin on the first, fourth, and fifth degrees (respectively) of the diatonic scale, otherwise symbolized: I, IV, and V (again, respectively). Primary triads, "express function clearly and unambigu ...
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