In music, especially folk and popular music, a matrix is an element of variations which does not change. [1] 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. [2] 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 are not necessarily intended by the composer or perceived by the listener, and they may be purposefully ambiguous. [1]
The simplest examples given by van der Merwe [1] 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":
Co-ordinated matrices may possess "bound-upness" or "at-oddness", [3] depending on the degree to which they are connected to each other or go their separate ways, respectively, and are more or less easy to reconcile. The matrices of the larger matrix known as sonata rondo form are more bound up than the matrices of rondo form, while African and Indian music feature more rhythmic at-oddness than European music's coinciding beats, and European harmony features more at-oddness (between the melody and bass) than the preceding organum. At-oddness is a matter of degree, and almost all at odd matrices are partially bound up. [3]
Mathematical matrices are used in the visualization of all permutations or forms of a tone row or set in music written using the twelve tone technique or serialism (set-complex).
In jazz and blues, a blue note is a note that—for expressive purposes—is sung or played at a slightly different pitch from standard. Typically the alteration is between a quartertone and a semitone, but this varies depending on the musical context.
Latin jazz is a genre of jazz with Latin American rhythms. The two main categories are Afro-Cuban jazz, rhythmically based on Cuban popular dance music, with a rhythm section employing ostinato patterns or a clave, and Afro-Brazilian jazz, which includes samba and bossa nova.
Bassline is the term used in many styles of music, such as blues, jazz, funk, dub and electronic, traditional, or classical music for the low-pitched instrumental part or line played by a rhythm section instrument such as the electric bass, double bass, cello, tuba or keyboard.
A Musical Joke K. 522, is a composition by Wolfgang Amadeus Mozart; the composer entered it in his Verzeichnis aller meiner Werke on June 14, 1787. Commentators have opined that the piece's purpose is satirical – that "[its] harmonic and rhythmic gaffes serve to parody the work of incompetent composers" – though Mozart himself is not known to have revealed his actual intentions.
In folk music a tune-family is, "a seeming multiplicity of melodies," reducible, "to a small number of 'models' or sets." One can think of the models or sets as deep structures. Often, "different tunes are the same," and, "the same tune is different."
A modal frame in music is "a number of types permeating and unifying African, European, and American song" and melody. It may also be called a melodic mode. "Mode" and "frame" are used interchangeably in this context without reference to scalar or rhythmic modes. Melodic modes define and generate melodies that are not determined by harmony, but purely by melody. A note frame, is a melodic mode that is atonic, or has an unstable tonic.
Parlour music is a type of popular music which, as the name suggests, is intended to be performed in the parlours of houses, usually by amateur singers and pianists. Disseminated as sheet music, its heyday came in the 19th century, as a result of a steady increase in the number of households with enough resources to purchase musical instruments and instruction in music, and with the leisure time and cultural motivation to engage in recreational music-making. Its popularity faded in the 20th century as the phonograph record and radio replaced sheet music as the most common means for the spread of popular music.
A double tonic is a chord progression, melodic motion, or shift of level consisting of a "regular back-and-forth motion" in melody similar to Bruno Nettl's pendulum type though it uses small intervals, most often a whole tone though may be almost a semitone to a minor third.
A level, also "tonality level", Gerhard Kubik's "tonal step," "tonal block," and John Blacking's "root progression," is an important melodic and harmonic progression where melodic material shifts between a whole tone above and a whole tone below the tonal center. This shift can occur to both neighboring notes, in either direction, and from any point of departure. The steps above and below the tonic are often called contrasting steps. A new harmonic segment is created which then changes the tonality but not necessarily the key.
The Socialist Alternative Politics is a Trotskyist political group in the Netherlands without parliamentary representation.
The Städel, officially the Städelsches Kunstinstitut und Städtische Galerie, is an art museum in Frankfurt, with one of the most important collections in Germany. The Städel Museum owns 3,100 paintings, 660 sculptures, more than 4,600 photographs and more than 100,000 drawings and prints. It has around 7,000 m2 (75,000 sq ft) of display and a library of 115,000 books.
Otonality and utonality are terms introduced by Harry Partch to describe chords whose pitch classes are the harmonics or subharmonics of a given fixed tone (identity), respectively. For example: 1/1, 2/1, 3/1,... or 1/1, 1/2, 1/3,....
An Otonality is that set of pitches generated by the numerical factors (...identities)...over a numerical constant in the denominator. Conversely, a Utonality is the inversion of an Otonality, a set of pitches with a numerical constant in the numerator over the numerical factors...in the denominator.
A scream is a loud/hard vocalization in which air is passed through the vocal cords with greater force than is used in regular or close-distance vocalisation. This can be performed by any creature possessing lungs, including humans.
In historical Germanic society, nīþ was a term for a social stigma implying the loss of honour and the status of a villain. A person affected with the stigma is a nīðing . Middle English retained a cognate nithe, meaning 'envy', 'hate', or 'malice'.
The Leopold matrix is a qualitative environmental impact assessment method developed in 1971 by Luna Leopold and collaborators for the USGS. It is used to identify and assign numerical weightings to potential environmental impacts of proposed projects on the environment. It came as a response to the National Environmental Policy Act of 1969 which was criticized for lacking adequate guidance for government agencies on how to properly predict potential environmental impacts and consequently prepare impact reports.
Mary Jeanne van Appledorn was an American composer of contemporary classical music and pianist.
A music genre is a conventional category that identifies some pieces of music as belonging to a shared tradition or set of conventions. Genre is to be distinguished from musical form and musical style, although in practice these terms are sometimes used interchangeably.
The Five Days of Milan was an insurrection and a major event in the Revolutionary Year of 1848 that started the First Italian War of Independence. On 18 March, a rebellion arose in the city of Milan which in five days of street fighting drove Marshal Radetzky and his Austrian soldiers from the city.
Robert Goute was a drum major in the Air de Paris.
Eduard Jacobson was a German dramatist and physician.
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