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Complexe Sonore
The ''complexe sonore'' is an octatonic chord consisting of minor third relations. Taruskin, Richard (1996). ''Stravinsky and the Russian Traditions: A Biography of the Works through Mavra'', p.937 and 1394. . More precisely, the ''complexe sonore'' is Igor Stravinsky's use of diatonic and whole tone motifs, and scales, against an octatonic background, rotated by minor thirds. Stravinsky "considered them to be in a perpetual state of potential symmetrical rotation by minor thirds under which the octatonic background scale is invariant." Dmitri Tymoczko argues that Stravinky's octatonicism results "from two other compositional techniques: modal use of non-diatonic minor scales, and superimposition of elements belonging to different scales." See also *French sixth chord In music theory, an augmented sixth chord contains the interval of an augmented sixth, usually above its bass tone. This chord has its origins in the Renaissance, was further developed in the Baroque, and b ...
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Complexe Sonore
The ''complexe sonore'' is an octatonic chord consisting of minor third relations. Taruskin, Richard (1996). ''Stravinsky and the Russian Traditions: A Biography of the Works through Mavra'', p.937 and 1394. . More precisely, the ''complexe sonore'' is Igor Stravinsky's use of diatonic and whole tone motifs, and scales, against an octatonic background, rotated by minor thirds. Stravinsky "considered them to be in a perpetual state of potential symmetrical rotation by minor thirds under which the octatonic background scale is invariant." Dmitri Tymoczko argues that Stravinky's octatonicism results "from two other compositional techniques: modal use of non-diatonic minor scales, and superimposition of elements belonging to different scales." See also *French sixth chord In music theory, an augmented sixth chord contains the interval of an augmented sixth, usually above its bass tone. This chord has its origins in the Renaissance, was further developed in the Baroque, and b ...
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Octatonic Scale
An octatonic scale is any eight-note musical scale. However, the term most often refers to the symmetric scale composed of alternating whole and half steps, as shown at right. In classical theory (in contrast to jazz theory), this symmetrical scale is commonly called the ''octatonic scale'' (or the ''octatonic collection''), although there are a total of 42 enharmonically non-equivalent, transpositionally non-equivalent eight-note sets. The earliest systematic treatment of the octatonic scale was in Edmond de Polignac's unpublished treatise "Étude sur les successions alternantes de tons et demi-tons (Et sur la gamme dite majeure-mineure)" (''Study of the Succession of Alternating Whole Tones and Semitones (and of the so-called Major-Minor Scale)'') from c. 1879, which preceded Vito Frazzi's ''Scale alternate per pianoforte'' of 1930 by a full half-century. Nomenclature In Saint Petersburg at the turn of the 20th century, this scale had become so familiar in the circle of comp ...
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Chord (music)
A chord, in music, is any harmonic set of pitches/frequencies consisting of multiple notes (also called "pitches") that are heard as if sounding simultaneously. For many practical and theoretical purposes, arpeggios and broken chords (in which the notes of the chord are sounded one after the other, rather than simultaneously), or sequences of chord tones, may also be considered as chords in the right musical context. In tonal Western classical music (music with a tonic key or "home key"), the most frequently encountered chords are triads, so called because they consist of three distinct notes: the root note, and intervals of a third and a fifth above the root note. Chords with more than three notes include added tone chords, extended chords and tone clusters, which are used in contemporary classical music, jazz and almost any other genre. A series of chords is called a chord progression. One example of a widely used chord progression in Western traditional music and blu ...
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Minor Third
In music theory, a minor third is a musical interval that encompasses three half steps, or semitones. Staff notation represents the minor third as encompassing three staff positions (see: interval number). The minor third is one of two commonly occurring thirds. It is called ''minor'' because it is the smaller of the two: the major third spans an additional semitone. For example, the interval from A to C is a minor third, as the note C lies three semitones above A. Coincidentally, there are three staff positions from A to C. Diminished and augmented thirds span the same number of staff positions, but consist of a different number of semitones (two and five). The minor third is a skip melodically. Notable examples of ascending minor thirds include the opening two notes of " Greensleeves" and of " Light My Fire". The minor third may be derived from the harmonic series as the interval between the fifth and sixth harmonics, or from the 19th harmonic. The minor third is co ...
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Richard Taruskin
Richard Filler Taruskin (April 2, 1945 – July 1, 2022) was an American musicologist and music critic who was among the leading and most prominent music historians of his generation. The breadth of his scrutiny into source material as well as musical analysis that combines sociological, cultural, and political perspectives, has incited much discussion, debate and controversy. He regularly wrote music criticism for newspapers including ''The New York Times''. He researched a wide variety of areas, but a central topic was the Russian music of the 18th century to present day. Other subjects he engaged with include the theory of performance, 15th-century music, 20th-century classical music, nationalism in music, the theory of modernism, and analysis. He is best known for his monumental survey of Western classical music, the six-volume ''Oxford History of Western Music''. He received several awards, including the first Noah Greenberg Award from the American Musicological Society in ...
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Igor Stravinsky
Igor Fyodorovich Stravinsky (6 April 1971) was a Russian composer, pianist and conductor, later of French (from 1934) and American (from 1945) citizenship. He is widely considered one of the most important and influential composers of the 20th century and a pivotal figure in modernist music. Stravinsky's compositional career was notable for its stylistic diversity. He first achieved international fame with three ballets commissioned by the impresario Sergei Diaghilev and first performed in Paris by Diaghilev's Ballets Russes: ''The Firebird'' (1910), ''Petrushka'' (1911), and ''The Rite of Spring'' (1913). The last transformed the way in which subsequent composers thought about rhythmic structure and was largely responsible for Stravinsky's enduring reputation as a revolutionary who pushed the boundaries of musical design. His "Russian phase", which continued with works such as '' Renard'', ''L'Histoire du soldat,'' and ''Les noces'', was followed in the 1920s by a period ...
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Diatonic Scale
In music theory, a diatonic scale is any heptatonic scale that includes five whole steps (whole tones) and two half steps (semitones) in each octave, in which the two half steps are separated from each other by either two or three whole steps, depending on their position in the scale. This pattern ensures that, in a diatonic scale spanning more than one octave, all the half steps are Maximal evenness, maximally separated from each other (i.e. separated by at least two whole steps). The seven pitch (music), pitches of any diatonic scale can also be obtained by using a Interval cycle, chain of six perfect fifths. For instance, the seven natural (music), natural pitch classes that form the C-major scale can be obtained from a stack of perfect fifths starting from F: :F–C–G–D–A–E–B Any sequence of seven successive natural notes, such as C–D–E–F–G–A–B, and any Transposition (music), transposition thereof, is a diatonic scale. Modern musical keyboards are des ...
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Whole Tone 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 th ...
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Motif (music)
In music, a motif IPA: ( /moʊˈtiːf/) (also motive) is a short musical phrase, a salient recurring figure, musical fragment or succession of notes that has some special importance in or is characteristic of a composition: "The motive is the smallest structural unit possessing thematic identity". The ''Encyclopédie de la Pléiade'' regards it as a "melodic, rhythmic, or harmonic cell", whereas the 1958 ''Encyclopédie Fasquelle'' maintains that it may contain one or more cells, though it remains the smallest analyzable element or phrase within a subject. It is commonly regarded as the shortest subdivision of a theme or phrase that still maintains its identity as a musical idea. "The smallest structural unit possessing thematic identity". Grove and Larousse also agree that the motif may have harmonic, melodic and/or rhythmic aspects, Grove adding that it "is most often thought of in melodic terms, and it is this aspect of the motif that is connoted by the term 'fig ...
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Dmitri Tymoczko
Dmitri Tymoczko is a composer and music theorist. His music, which draws on rock, jazz, and romanticism, has been performed by ensembles such as the Amernet String Quartet, the Brentano Quartet, Janus, Newspeak, the San Francisco Contemporary Players, the Pacifica Quartet, and the pianist Ursula Oppens.Official Princeton Biography of Dmitri Tymoczko: As a theorist, he has published more than two dozen articles dealing with topics related to contemporary tonality, including scales, voice leading, and functional harmonic norms. His article "The Geometry of Musical Chords", was the first music-theory article ever published by the journal ''Science''.Tymoczko, Dmitri, "The Geometry of Musical Chords", ''Science''. 313 (2006), 72-74. Biography Tymoczko was born 1969, in Northampton, Massachusetts. His father Thomas Tymoczko was a philosopher of mathematics at Smith College, while his mother Maria Tymoczko is a professor of comparative literature at the University of Massachusetts Amh ...
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French Sixth Chord
In music theory, an augmented sixth chord contains the interval of an augmented sixth, usually above its bass tone. This chord has its origins in the Renaissance, was further developed in the Baroque, and became a distinctive part of the musical style of the Classical and Romantic periods. Conventionally used with a predominant function ( resolving to the dominant), the three most common types of augmented sixth chords are usually called the ''Italian sixth'', the ''French sixth'', and the ''German sixth''. Augmented sixth interval The augmented sixth interval is typically between the sixth degree of the minor scale, , and the raised fourth degree, . With standard voice leading, the chord is followed directly or indirectly by some form of the dominant chord, in which both and have resolved to the fifth scale degree, . This tendency to resolve outwards to is why the interval is spelled as an augmented sixth, rather than enharmonically as a minor seventh ( and ). Alt ...
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