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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. 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 progressed between using motion of just one voice. Theorists – or practical music teachers – writing of chordioids usually go so far a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 chords contain more than one triad, and so can be regarded as a type of polychord: For example ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Slash Chord
In music, especially modern popular music, a slash chord or slashed chord, also compound chord, is a chord whose bass note or inversion is indicated by the addition of a slash and the letter of the bass note after the root note letter. It does not indicate "or". For example, a C major chord (C) in second inversion is written C/G or C/G bass, which reads "C slash G", "C over G" or "C over a G bass". If E were the bass it would be written C/E or C/E bass (making a major chord in first inversion), which is read "C slash E", "C over E" or C/E bass. Some chords may not otherwise be notated, such as A/A. Thus, a slash chord may also indicate the chord form or shape and an additional bass note. In popular music, where the exact arrangement of notes is less important than some other forms, slash chords are generally used only when the specific bass note is important. A common example in guitar based music is in the I-V-vi progression, in which the V chord is a passing chord. By placin ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Seventh Chord
A seventh chord is a chord consisting of a triad plus a note forming an interval of a seventh above the chord's 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 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 dissonance, the seventh was allowed to become a part of the chord itself, and in some modern music, jazz in particular, nearly every chord is a seventh chord. Additionally, the general acceptance of equal temperament during the 19th century reduced the dissonance of some earlier forms of sevenths. Classification Most textboo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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: typic ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Accordion
Accordions (from 19th-century German ''Akkordeon'', from ''Akkord''—"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 in a frame), colloquially referred to as a squeezebox. A person who plays the accordion is called an accordionist. The concertina , harmoneon and bandoneón are related. The harmonium and American reed organ are in the same family, but are typically larger than an accordion and sit on a surface or the floor. The accordion is played by compressing or expanding the bellows while pressing buttons or keys, causing ''pallets'' to open, which allow air to flow across strips of brass or steel, called '' reeds''. These vibrate to produce sound inside the body. Valves on opposing reeds of each note are used to make the instrument's reeds sound louder without air leaking from each reed block.For the accordion's place among the families of musical ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ancohemitonia
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 conse ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 conse ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Homogeneity
Homogeneity and heterogeneity are concepts often used in the sciences and statistics relating to the uniformity of a substance or organism. A material or image that is homogeneous 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. Heterogeneous Mixtures, in chemistry, is where certain elements are unwillingly combined and, when given the option, will separate. 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”); - ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Symmetry
Symmetry (from grc, συμμετρία "agreement in dimensions, due proportion, arrangement") in everyday language refers to a sense of harmonious and beautiful proportion and balance. In mathematics, "symmetry" has a more precise definition, and is usually used to refer to an object that is invariant under some transformations; including translation, reflection, rotation or scaling. Although these two meanings of "symmetry" 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 spatial relationship; through geometric transformations; through other kinds of functional transformations; and as an aspect of abstract objects, including theoretic models, language, and music. This article describes symmetry from three perspectives: in mathematics, including geometry, the most familiar type of symmetry for many people; in science and nature ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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