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Neo-Riemannian Theory
Neo-Riemannian theory is a loose collection of ideas present in the writings of music theorists such as David Lewin, Brian Hyer, Richard Cohn, and Henry Klumpenhouwer. What binds these ideas is a central commitment to relating harmonies directly to each other, without necessary reference to a tonic. Initially, those harmonies were major and minor triads; subsequently, neo-Riemannian theory was extended to standard dissonant sonorities as well. Harmonic proximity is characteristically gauged by efficiency of voice leading. Thus, C major and E minor triads are close by virtue of requiring only a single semitonal shift to move from one to the other. Motion between proximate harmonies is described by simple transformations. For example, motion between a C major and E minor triad, in either direction, is executed by an "L" transformation. Extended progressions of harmonies are characteristically displayed on a geometric plane, or map, which portrays the entire system of harmonic rela ...
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Music Theory
Music theory is the study of the practices and possibilities of music. ''The Oxford Companion to Music'' describes three interrelated uses of the term "music theory". The first is the "rudiments", that are needed to understand music notation (key signatures, time signatures, and rhythmic notation); the second is learning scholars' views on music from antiquity to the present; the third is a sub-topic of musicology that "seeks to define processes and general principles in music". The musicological approach to theory differs from music analysis "in that it takes as its starting-point not the individual work or performance but the fundamental materials from which it is built." Music theory is frequently concerned with describing how musicians and composers make music, including tuning systems and composition methods among other topics. Because of the ever-expanding conception of what constitutes music, a more inclusive definition could be the consideration of any sonic phenomena, ...
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Journal Of Music Theory
The ''Journal of Music Theory'' is a peer-reviewed academic journal specializing in music theory and analysis. It was established by David Kraehenbuehl (Yale University) in 1957. According to its website, " e ''Journal of Music Theory'' fosters conceptual and technical innovations in abstract, systematic musical thought and cultivates the historical study of musical concepts and compositional techniques. The journal publishes research with important and broad applications in the analysis of music and the history of music theory as well as theoretical or metatheoretical work that engages and stimulates ongoing discourse in the field. While remaining true to its original formalist outlook, the journal also addresses the influences of philosophy, mathematics, computer science, cognitive sciences, and anthropology on music theory." The journal is currently edited by Richard Cohn. It has a long and distinguished history of past editors, including Allen Forte Allen, Allen's or Allens ma ...
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Journal Of The American Musicological Society
The ''Journal of the American Musicological Society'' is a peer-reviewed academic journal and an official journal of the American Musicological Society. It is published by University of California Press The University of California Press, otherwise known as UC Press, is a publishing house associated with the University of California that engages in academic publishing. It was founded in 1893 to publish scholarly and scientific works by facult ... and covers all aspects of musicology. The ''Journal of the American Musicological Society'' has been published three times a year since 1948. It was preceded by the annual ''Bulletin of the American Musicological Society'' (1936–1947) and the annual ''Papers of the American Musicological Society'' (1936–1941). Online versions of the journal and its predecessors are available at JSTOR and the University of California Press. External links * {{Official website, 1=http://www.ucpressjournals.com/journal.asp?j=jams Publications e ...
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Music Theory Spectrum
''Music Theory Spectrum'' () is a peer-reviewed, academic journal specializing in music theory and analysis. It is the official journal of the Society for Music Theory, and is published by Oxford University Press. The journal was first published in 1979 as the official organ of the Society for Music Theory, which had been founded in 1977 and had its first conference in 1978.. Unlike many other journals (music or otherwise), ''Music Theory Spectrum'' was initially published in an oblong (landscape) page format, to better accommodate such musical graphics as Schenkerian graphs. Published twice annually, ''Music Theory Spectrum'' includes research articles and book reviews. Online access to back issues of the journal up 2017 is provided through JSTOR. In a 1999 study, it was the seventh most frequently cited journal in music theses overall, and the third most frequently cited journal in music theory theses. In Spring 2014, Oxford University Press began publishing ''Music Theory Sp ...
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Dominant (music)
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: ty ...
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Subdominant
In music, the subdominant is the fourth tonal degree () of the diatonic scale. It is so called because it is the same distance ''below'' the tonic as the dominant is ''above'' the tonicin other words, the tonic is the dominant of the subdominant. It also happens to be the note one step below the dominant. In the movable do solfège system, the subdominant note is sung as ''fa''. The triad built on the subdominant note is called the subdominant chord. In Roman numeral analysis, the subdominant chord is typically symbolized by the Roman numeral "IV" in a major key, indicating that the chord is a major triad. In a minor key, it is symbolized by "iv", indicating that the chord is a minor triad. These chords may also appear as seventh chords: in major, as IVM7, or in minor as iv7 or sometimes IV7: A cadential subdominant chord followed by a tonic chord produces the so-called plagal cadence. As with other chords which often precede the dominant, subdominant chords typically ...
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Relative Key
In music, relative keys are the major and minor scales that have the same key signatures ( enharmonically equivalent), meaning that they share all the same notes but are arranged in a different order of whole steps and half steps. A pair of major and minor scales sharing the same key signature are said to be in a relative relationship. The relative minor of a particular major key, or the relative major of a minor key, is the key which has the same key signature but a different tonic. (This is as opposed to ''parallel'' minor or major, which shares the same tonic.) For example, F major and D minor both have one flat in their key signature at B♭; therefore, D minor is the relative minor of F major, and conversely F major is the relative major of D minor. The tonic of the relative minor is the sixth scale degree of the major scale, while the tonic of the relative major is the third degree of the minor scale. The minor key starts three semitones below its relative major; for examp ...
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Parallel Key
In music theory, a major scale and a minor scale that have the same tonic note are called parallel keys and are said to be in a parallel relationship. Forte, Allen (1979). ''Tonal Harmony'', p.9. 3rd edition. Holt, Rinehart, and Wilson. . "When a major and minor scale both begin with the same note ... they are called ''parallel''. Thus we say that the parallel major key of C minor is C major, the parallel minor of C major is C minor." The parallel minor or tonic minor of a particular major key is the minor key based on the same tonic; similarly the parallel major has the same tonic as the minor key. For example, G major and G minor have different modes but both have the same tonic, G; so G minor is said to be the parallel minor of G major. In contrast, a major scale and a minor scale that have the same key signature (and therefore different tonics) are called relative keys. A major scale can be transformed to its parallel minor by lowering the third, sixth, and seventh scale ...
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PLR On Tonnetz
PLR may refer to: Political parties: * ''Partito liberale-radicale svizzero'', Italian name for the Free Democratic Party of Switzerland * ''Partidul Liberal Reformator'', Romanian title for the Liberal Reformist Party (Moldova) * ''Partidul Liberal Reformator'', Romanian title for the Liberal Reformist Party (Romania) * ''Partido Liberal Radical'' or Radical Liberal Party (Paraguay) * ''PLR.Les Libéraux-Radicaux'' and ''PLR.I Liberali'', French and Italian names respectively for FDP.The Liberals, a Swiss political party * Pour La Réunion, founded in 2012 Codes: * ICAO airline designator for Northwestern Air * IATA code for St. Clair County Airport, Pell City, Alabama, United States * ISO 639-3 code for the Palaka language, spoken in Ivory Coast Other uses: * Pupillary light reflex of the eye * Private letter ruling, US taxpayer guidance * Public Lending Right, UK, author payments for library book loans * Pulse link repeater, a telecommunications device * Point of local repair ...
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Involution (mathematics)
In mathematics, an involution, involutory function, or self-inverse function is a function that is its own inverse, : for all in the domain of . Equivalently, applying twice produces the original value. General properties Any involution is a bijection. The identity map is a trivial example of an involution. Examples of nontrivial involutions include negation (x \mapsto -x), reciprocation (x \mapsto 1/x), and complex conjugation (z \mapsto \bar z) in arithmetic; reflection, half-turn rotation, and circle inversion in geometry; complementation in set theory; and reciprocal ciphers such as the ROT13 transformation and the Beaufort polyalphabetic cipher. The composition of two involutions ''f'' and ''g'' is an involution if and only if they commute: . Involutions on finite sets The number of involutions, including the identity involution, on a set with elements is given by a recurrence relation found by Heinrich August Rothe in 1800: :a_0 = a_1 = 1 and a_n = a_ + ...
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Music Theory Online
''Music Theory Online'' is a quarterly peer-reviewed open access academic journal covering music theory and musical analysis, analysis. It was established in 1993 and is published by the Society for Music Theory. The initial issues were designated as part of volume 0. Volume 1 began in January 1995. Its founding editor-in-chief was Lee A. Rothfarb. The journal is abstracted and indexed in the Répertoire International de Littérature Musicale. External links

* Music theory journals Publications established in 1993 English-language journals Open access journals Quarterly journals {{music-journal-stub ...
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Utonality
''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: , , ,... or , , ,.... Definition An otonality is a collection of pitches which can be expressed in ratios, expressing their relationship to the fixed tone, that have equal denominators and consecutive numerators. For example, , , and (just major chord) form an otonality because they can be written as , , . This in turn can be written as an extended ratio 4:5:6. Every otonality is therefore composed of members of a harmonic series. Similarly, the ratios of a utonality share the same numerator and have consecutive denominators. , , , and () form a utonality, sometimes written as , or as . Every utonality is therefore composed of members of a subharmonic series. This term is used extensively by Harry Partch in ''Genesis of a Music''. An otonality corresponds t ...
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