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Chordioid
A chordioid, also called ''chord fragment'' or ''fragmentary voicing''Rawlins, Robert, et al. (2005) ''Jazzology: The Encyclopedia of Jazz Theory for All Musicians'', p. 86. Winona: Hal Leonard. . or ''partial voicing'', is a group of musical notes which does not qualify as a chord under a given chord theory, but still useful to name and reify for other reasons. Almost all types of chordioid are at least ancohemitonic, allowing the possibility that the resultant scale be at least ancohemitonic itself. The main use of chordioids is to form "legitimate" chords enharmonically in 12TET by adding one or more notes to this base.Slonimsky, Nicholas. (1947) ''Thesaurus of Scales and Melodic Patterns'', p. v. New York: Charles Scribner Sons. . It is typical of chordioids that many different resultant chords can be created from the same base depending on the note or combination of notes added. The resultant chords on a single chordioid are somewhat related, because they can be progres ...
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Polychord
In music and music theory, a polychord consists of two or more chords, one on top of the other. In shorthand they are written with the top chord above a line and the bottom chord below,Policastro, Michael A. (1999). ''Understanding How to Build Guitar Chords and Arpeggios'', p. 168. . for example F upon C: . The use of polychords may suggest bitonality or polytonality. Harmonic parallelism may suggest bichords. Examples may be found in Igor Stravinsky's '' Petrushka'', p. 15, and '' Rite of Spring'', "Dance of the Adolescents" (1921) (see Petrushka chord). In the polychords in the image above, the first might suggest a thirteenth chord, the second may suggest a D minor ninth chord with upper extensions, but the octave separation of the 3rd makes the suggestion of two independent triads a minor ninth apart even more likely, and the fourth is a split-third chord. Extended chord In music, extended chords are certain Chord (music), chords (built from third (chord) ...
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Upper Structure
In jazz, the term upper structure or "upper structure triad" refers to a voicing approach developed by jazz pianists and arrangers defined by the sounding of a major or minor triad in the uppermost pitches of a more complex harmony.Ellenberger, Kurt. ''Materials and Concepts in Jazz Improvisation'', p.20. Examples Example 1: Below, a common voicing used by jazz pianists is given for the chord C79 (C major chord with a minor 7th, and extended with an augmented 9th). In the lower stave the notes E and B are given. These form a tritone which defines the dominant sound, and are the major 3rd and minor 7th of the C79 chord. In the upper stave the notes E, G, and B are given together: these form an E major triad. This E major triad is what would be called the upper structure. Considered in relation to the root C, the notes of this E major triad function, respectively, as the sharpened ninth (the root of the E major chord), fifth, and seventh in relation to that root. (Note: th ...
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Seventh Chord
A seventh chord is a chord (music), chord consisting of a triad (music), triad plus a note forming an interval (music), interval of a Interval (music), seventh above the chord's root (chord), root. When not otherwise specified, a "seventh chord" usually means a dominant seventh chord: a major triad together with a minor seventh. However, a variety of sevenths may be added to a variety of triads, resulting in many different types of seventh chords. In its earliest usage, the seventh was introduced solely as an nonchord tone, embellishing or nonchord tone. The seventh destabilized the triad, and allowed the composer to emphasize movement in a given direction. As time passed and the collective ear of the western world became more accustomed to Consonance and dissonance, dissonance, the seventh was allowed to become a part of the chord itself, and in some modern music, jazz in particular, . Additionally, the general acceptance of equal temperament during the 19th century reduced the ...
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Permutation
In mathematics, a permutation of a set can mean one of two different things: * an arrangement of its members in a sequence or linear order, or * the act or process of changing the linear order of an ordered set. An example of the first meaning is the six permutations (orderings) of the set : written as tuples, they are (1, 2, 3), (1, 3, 2), (2, 1, 3), (2, 3, 1), (3, 1, 2), and (3, 2, 1). Anagrams of a word whose letters are all different are also permutations: the letters are already ordered in the original word, and the anagram reorders them. The study of permutations of finite sets is an important topic in combinatorics and group theory. Permutations are used in almost every branch of mathematics and in many other fields of science. In computer science, they are used for analyzing sorting algorithms; in quantum physics, for describing states of particles; and in biology, for describing RNA sequences. The number of permutations of distinct objects is  factorial, us ...
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Dominant Function
In music, the dominant is the fifth scale degree () of the diatonic scale. It is called the ''dominant'' because it is second in importance to the first scale degree, the tonic. In the movable do solfège system, the dominant note is sung as "So(l)". The triad built on the dominant note is called the dominant chord. This chord is said to have dominant function, which means that it creates an instability that requires the tonic for resolution. Dominant triads, seventh chords, and ninth chords typically have dominant function. Leading-tone triads and leading-tone seventh chords may also have dominant function. Dominant chords In music theory, the dominant triad is a major chord, symbolized by the Roman numeral "V" in the major scale. In the natural minor scale, the triad is a minor chord, denoted by "v". However, in a minor key, the seventh scale degree is often raised by a half step ( to ), creating a major chord. These chords may also appear as seventh chords: ...
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Accordion
Accordions (from 19th-century German language, German ', from '—"musical chord, concord of sounds") are a family of box-shaped musical instruments of the bellows-driven free reed aerophone type (producing sound as air flows past a Reed (mouthpiece), reed in a frame). The essential characteristic of the accordion is to combine in one instrument a melody section, also called the descant, diskant, usually on the right-hand keyboard, with an accompaniment or Basso continuo functionality on the left-hand. The musician normally plays the melody on buttons or keys on the right-hand side (referred to as the Musical keyboard, keyboard or sometimes the manual (music), ''manual''), and the accompaniment on Bass (sound), bass or pre-set Chord (music), chord buttons on the left-hand side. A person who plays the accordion is called an accordionist. The accordion belongs to the free-reed aerophone family. Other instruments in this family include the concertina, harmonica, and bandoneon. Th ...
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Anhemitonia
Musicology commonly classifies scales as either hemitonic or anhemitonic. Hemitonic scales contain one or more semitones, while anhemitonic scales do not contain semitones. For example, in traditional Japanese music, the anhemitonic ''yo'' scale is contrasted with the hemitonic ''in'' scale. The simplest and most commonly used scale in the world is the atritonic anhemitonic "major" pentatonic scale. The whole tone scale is also anhemitonic. A special subclass of the hemitonic scales is the cohemitonic scales. Cohemitonic scales contain two or more semitones (making them hemitonic) such that two or more of the semitones appear consecutively in scale order. For example, the Hungarian minor scale in C includes F, G, and A in that order, with a semitone between F and G, and then a semitone between G and A. Ancohemitonic scales, in contrast, either contain no semitones (and thus are anhemitonic), or contain semitones (being hemitonic) where none of the semitones appear cons ...
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Homogeneity
Homogeneity and heterogeneity are concepts relating to the Uniformity (chemistry), uniformity of a Chemical substance, substance, process or image. A homogeneous feature is uniform in composition or character (i.e., color, shape, size, weight, height, distribution, texture, language, income, disease, temperature, radioactivity, architectural design, etc.); one that is heterogeneous is distinctly nonuniform in at least one of these qualities. Etymology and spelling The words ''homogeneous'' and ''heterogeneous'' come from Medieval Latin ''homogeneus'' and ''heterogeneus'', from Ancient Greek ὁμογενής (''homogenēs'') and ἑτερογενής (''heterogenēs''), from ὁμός (''homos'', "same") and ἕτερος (''heteros'', "other, another, different") respectively, followed by γένος (''genos'', "kind"); -ous is an adjectival suffix. Alternate spellings omitting the last ''-e-'' (and the associated pronunciations) are common, but mistaken: ''homogenous'' is st ...
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Symmetry
Symmetry () in everyday life refers to a sense of harmonious and beautiful proportion and balance. In mathematics, the term has a more precise definition and is usually used to refer to an object that is Invariant (mathematics), invariant under some Transformation (function), transformations, such as Translation (geometry), translation, Reflection (mathematics), reflection, Rotation (mathematics), rotation, or Scaling (geometry), scaling. Although these two meanings of the word can sometimes be told apart, they are intricately related, and hence are discussed together in this article. Mathematical symmetry may be observed with respect to the passage of time; as a space, spatial relationship; through geometric transformations; through other kinds of functional transformations; and as an aspect of abstract objects, including scientific model, theoretic models, language, and music. This article describes symmetry from three perspectives: in mathematics, including geometry, the m ...
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Wholetone Scale
In music, a whole-tone scale is a scale in which each note is separated from its neighbors by the interval of a whole tone. In twelve-tone equal temperament, there are only two complementary whole-tone scales, both six-note or ''hexatonic'' scales. A single whole-tone scale can also be thought of as a "six-tone equal temperament". : : The whole-tone scale has no leading tone and because all tones are the same distance apart, "no single tone stands out, ndthe scale creates a blurred, indistinct effect". This effect is especially emphasised by the fact that triads built on such scale tones are all augmented triads. Indeed, all six tones of a whole-tone scale can be played simply with two augmented triads whose roots are a major second apart. Since they are symmetrical, whole-tone scales do not give a strong impression of the tonic or tonality. The composer Olivier Messiaen called the whole-tone scale his first mode of limited transposition. The composer and music the ...
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Dominant Seventh Chord
Domination or dominant may refer to: Society * World domination, structure where one dominant power governs the planet * Colonialism in which one group (usually a nation) invades another region for material gain or to eliminate competition * Chauvinism in which a person or group consider themselves to be superior, and thus entitled to use force to dominate others * Sexual dominance involving individuals in a subset of BDSM behaviour * Hierarchy Music * Dominant (music), a diatonic scale step and diatonic function in tonal music theory Albums * ''Domination'' (Cannonball Adderley album) or the title track, 1965 * ''Domination'' (Morbid Angel album), 1995 * ''Domination'', by Domino, 2004 * ''Domination'', by Morifade, 2004 Songs * "Domination" (song), by Pantera, 1990 * "Domination", by Band-Maid from ''World Domination'', 2018 * "Domination", by Symphony X from ''Paradise Lost'', 2007 * "Domination", by Way Out West from '' Way Out West'', 1996 * "Domination", by Within t ...
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Jazz
Jazz is a music genre that originated in the African-American communities of New Orleans, Louisiana, in the late 19th and early 20th centuries. Its roots are in blues, ragtime, European harmony, African rhythmic rituals, spirituals, hymns, marches, vaudeville song, and dance music. Since the 1920s Jazz Age, it has been recognized as a major form of musical expression in traditional and popular music. Jazz is characterized by swing and blue notes, complex chords, call and response vocals, polyrhythms and improvisation. As jazz spread around the world, it drew on national, regional, and local musical cultures, which gave rise to different styles. New Orleans jazz began in the early 1910s, combining earlier brass band marches, French quadrilles, biguine, ragtime and blues with collective polyphonic improvisation. However, jazz did not begin as a single musical tradition in New Orleans or elsewhere. In the 1930s, arranged dance-oriented swing big bands, ...
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