Arches (Lerdahl)
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Arches (Lerdahl)
''Arches'' (2010) is a musical composition by Fred Lerdahl for solo cello and large chamber ensemble commissioned by the Fromm Music Foundation for the cellist Anssi Karttunen. A finalist for the Pulitzer Prize for Music in 2011, it was premiered on November 19, 2010, at Miller Theatre, Columbia University,The 2011 Pulitzer Prize Winners Music
, ''Pulitzer.org''.
by Karttunen and the Argento Chamber Ensemble.Schweitzer, Vivien (November 21, 2010).
Spiral Form and Other Compositional Modes of Fred Lerdahl
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Musical Composition
Musical composition can refer to an original piece or work of music, either vocal or instrumental, the structure of a musical piece or to the process of creating or writing a new piece of music. People who create new compositions are called composers. Composers of primarily songs are usually called songwriters; with songs, the person who writes lyrics for a song is the lyricist. In many cultures, including Western classical music, the act of composing typically includes the creation of music notation, such as a sheet music "score," which is then performed by the composer or by other musicians. In popular music and traditional music, songwriting may involve the creation of a basic outline of the song, called the lead sheet, which sets out the melody, lyrics and chord progression. In classical music, orchestration (choosing the instruments of a large music ensemble such as an orchestra which will play the different parts of music, such as the melody, accompaniment, counte ...
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Arch
An arch is a vertical curved structure that spans an elevated space and may or may not support the weight above it, or in case of a horizontal arch like an arch dam, the hydrostatic pressure against it. Arches may be synonymous with vaults, but a vault may be distinguished as a continuous arch forming a roof. Arches appeared as early as the 2nd millennium BC in Mesopotamian brick architecture, and their systematic use started with the ancient Romans, who were the first to apply the technique to a wide range of structures. Basic concepts An arch is a pure compression form. It can span a large area by resolving forces into compressive stresses, and thereby eliminating tensile stresses. This is sometimes denominated "arch action". As the forces in the arch are transferred to its base, the arch pushes outward at its base, denominated "thrust". As the rise, i. e. height, of the arch decreases the outward thrust increases. In order to preserve arch action and prevent collapse ...
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2010 Compositions
1 (one, unit, unity) is a number representing a single or the only entity. 1 is also a numerical digit and represents a single unit of counting or measurement. For example, a line segment of ''unit length'' is a line segment of length 1. In conventions of sign where zero is considered neither positive nor negative, 1 is the first and smallest positive integer. It is also sometimes considered the first of the infinite sequence of natural numbers, followed by  2, although by other definitions 1 is the second natural number, following  0. The fundamental mathematical property of 1 is to be a multiplicative identity, meaning that any number multiplied by 1 equals the same number. Most if not all properties of 1 can be deduced from this. In advanced mathematics, a multiplicative identity is often denoted 1, even if it is not a number. 1 is by convention not considered a prime number; this was not universally accepted until the mid-20th century. Additionally, 1 is the s ...
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Arch Form
In music, arch form is a sectional structure for a piece of music based on repetition, in reverse order, of all or most musical sections such that the overall form is symmetric, most often around a central movement. The sections need not be repeated verbatim but must at least share thematic material. It creates interest through interplay among "memory, variation, and progression". Though the form appears to be static and to deny progress, the pairs of movements create an "undirectional process" with the center, and the form "actually engenders specific expressive possibilities that would otherwise be unavailable for the work as a whole".Wilson, Paul (1992). ''The Music of Béla Bartók''. . p. 32. Béla Bartók is noted for his use of arch form, e.g., in his fourth and fifth string quartets, Concerto for Orchestra, ''Music for Strings, Percussion and Celesta'', second piano concerto, and, to a lesser extent, in his second violin concerto. Samuel Barber's ''Adagio for Strings ...
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Musical Form
In music, ''form'' refers to the structure of a musical composition or musical improvisation, performance. In his book, ''Worlds of Music'', Jeff Todd Titon suggests that a number of organizational elements may determine the formal structure of a piece of music, such as "the arrangement of musical units of rhythm, melody, and/or harmony that show repetition (music), repetition or variation (music), variation, the arrangement of the instruments (as in the order of solo (music), solos in a jazz or bluegrass performance), or the way a symphonic piece is orchestration, orchestrated", among other factors. It is, "the ways in which a composition is shaped to create a meaningful musical experience for the listener."Kostka, Stefan and Payne, Dorothy (1995). ''Tonal Harmony'', p.152. McGraw-Hill. . These organizational elements may be broken into smaller units called phrases, which express a musical idea but lack sufficient weight to stand alone. Musical form unfolds over time through th ...
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Melodic Motion
Melodic motion is the quality of movement of a melody, including nearness or farness of successive pitches or notes in a melody. This may be described as conjunct or disjunct, stepwise, skipwise or no movement, respectively. See also contrapuntal motion. In a conjunct melodic motion, the melodic phrase moves in a stepwise fashion; that is the subsequent notes move up or down a semitone or tone, but no greater. In a disjunct melodic motion, the melodic phrase leaps upwards or downwards; this movement is greater than a whole tone. In popular Western music, a melodic leap of disjunct motion is often present in the chorus of a song, to distinguish it from the verses and captivate the audience. Bruno Nettl describes various types of melodic movement or contour (Nettl 1956, 51–53): *Ascending: Upwards melodic movement *Descending: Downwards melodic movement (prevalent in the New World and Australian music) *Undulating: Equal movement in both directions, using approximately the same ...
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Cantus Firmus
In music, a ''cantus firmus'' ("fixed melody") is a pre-existing melody forming the basis of a polyphonic composition. The plural of this Latin term is , although the corrupt form ''canti firmi'' (resulting from the grammatically incorrect treatment of ''cantus'' as a second- rather than a fourth-declension noun) can also be found. The Italian is often used instead: (and the plural in Italian is ). History The term first appears in theoretical writings early in the 13th century (e.g., Boncampagno da Signa, ''Rhetorica novissima'', 1235). The earliest polyphonic compositions almost always involved a cantus firmus, typically a Gregorian chant, although by convention the term is not applied to music written before the 14th century. The earliest surviving polyphonic compositions, in the ''Musica enchiriadis'' (around 900 AD), contain the chant in the top voice, and the newly composed part underneath; however, this usage changed around 1100, after which the cantus firmus typicall ...
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Musical Idea
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 'figu ...
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Spiral Form
Alfred Whitford (Fred) Lerdahl (born March 10, 1943, in Madison, Wisconsin) is the Fritz Reiner Professor Emeritus of Musical Composition at Columbia University, and a composer and music theorist best known for his work on musical grammar and cognition, rhythmic theory, pitch space, and cognitive constraints on compositional systems. He has written many orchestral and chamber works, three of which were finalists for the Pulitzer Prize for Music: ''Time after Time'' in 2001, String Quartet No. 3 in 2010, and '' Arches'' in 2011. Life Lerdahl studied with James Ming at Lawrence University, where he earned his BMus in 1965, and with Milton Babbitt, Edward T. Cone, and Earl Kim at Princeton University, where he earned his MFA in 1967. At Tanglewood he studied with Arthur Berger in 1964 and Roger Sessions in 1966. He then studied with Wolfgang Fortner at the Hochschule für Musik in Freiburg/Breisgau in 1968–69, on a Fulbright Scholarship. From 1991 to 2018 Lerdahl was Fritz ...
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Phrase (music)
In music theory, a phrase ( gr, φράση) is a unit of musical meter that has a complete musical sense of its own, built from figures, motifs, and cells, and combining to form melodies, periods and larger sections. Terms such as ''sentence'' and ''verse'' have been adopted into the vocabulary of music from linguistic syntax. Though the analogy between the musical and the linguistic phrase is often made, still the term "is one of the most ambiguous in music....there is no consistency in applying these terms nor can there be...only with melodies of a very simple type, especially those of some dances, can the terms be used with some consistency." John D. White defines a phrase as "the smallest musical unit that conveys a more or less complete musical thought. Phrases vary in length and are terminated at a point of full or partial repose, which is called a ''cadence''." Edward Cone analyses the "typical musical phrase" as consisting of an "initial downbeat, a period of motio ...
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Gothic Cathedral
Gothic cathedrals and churches are religious buildings created in Europe between the mid-12th century and the beginning of the 16th century. The cathedrals are notable particularly for their great height and their extensive use of stained glass to fill the interiors with light. They were the tallest and largest buildings of their time and the most prominent examples of Gothic architecture. The appearance of the Gothic cathedral was not only a revolution in architecture; it also introduced new forms in decoration, sculpture, and art. Cathedrals were by definition churches where a bishop presided. Abbeys were the churches attached to monasteries. Many smaller parish churches were also built in the Gothic style. The appearance of the great cathedrals in the 12th century was a response to the dramatic increase of population and wealth in some parts of Europe and the need for larger and more imposing buildings. Technical advances, such as innovative uses of the pointed arch, rib vault ...
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Fred Lerdahl
Alfred Whitford (Fred) Lerdahl (born March 10, 1943, in Madison, Wisconsin) is the Fritz Reiner Professor Emeritus of Musical Composition at Columbia University, and a composer and music theorist best known for his work on musical grammar and cognition, rhythmic theory, pitch space, and cognitive constraints on compositional systems. He has written many orchestral and chamber works, three of which were finalists for the Pulitzer Prize for Music: ''Time after Time'' in 2001, String Quartet No. 3 in 2010, and ''Arches'' in 2011. Life Lerdahl studied with James Ming at Lawrence University, where he earned his BMus in 1965, and with Milton Babbitt, Edward T. Cone, and Earl Kim at Princeton University, where he earned his MFA in 1967. At Tanglewood he studied with Arthur Berger in 1964 and Roger Sessions in 1966. He then studied with Wolfgang Fortner at the Hochschule für Musik in Freiburg/Breisgau in 1968–69, on a Fulbright Scholarship. From 1991 to 2018 Lerdahl was Fritz Reine ...
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