music Music is the arrangement of sound to create some combination of Musical form, form, harmony, melody, rhythm, or otherwise Musical expression, expressive content. Music is generally agreed to be a cultural universal that is present in all hum ...

, a projected set is a technique where a collection of pitches or

pitch class In music, a pitch class (p.c. or pc) is a set of all pitches that are a whole number of octaves apart; for example, the pitch class C consists of the Cs in all octaves. "The pitch class C stands for all possible Cs, in whatever octave positio ...

es is extended in a

texture Texture may refer to: Science and technology * Image texture, the spatial arrangement of color or intensities in an image * Surface texture, the smoothness, roughness, or bumpiness of the surface of an object * Texture (roads), road surface c ...

through the emphasized

simultaneous Simultaneity may refer to: * Relativity of simultaneity, a concept in special relativity. * Simultaneity (music), more than one complete musical texture occurring at the same time, rather than in succession * Simultaneity, a concept in Endogenei ...

statement of a

set Set, The Set, SET or SETS may refer to: Science, technology, and mathematics Mathematics *Set (mathematics), a collection of elements *Category of sets, the category whose objects and morphisms are sets and total functions, respectively Electro ...

followed or preceded by a successive emphasized statement of each of its members. For example, a set may be stated as a simultaneity and then a series of

phrases In grammar, a phrasecalled expression in some contextsis a group of words or singular word acting as a grammatical unit. For instance, the English expression "the very happy squirrel" is a noun phrase which contains the adjective phrase "very ...

may end on notes which are the members of the set, as in the

downbeat ''DownBeat'' (styled in all caps) is an American music magazine devoted to "jazz, blues and beyond", the last word indicating its expansion beyond the jazz realm that it covered exclusively in previous years. The publication was established in 1 ...

of m. 19 through measures 46 of

Béla Bartók Béla Viktor János Bartók (; ; 25 March 1881 – 26 September 1945) was a Hungarian composer, pianist and ethnomusicologist. He is considered one of the most important composers of the 20th century; he and Franz Liszt are regarded as Hunga ...

's Second String Quartet. (Wilson 1992, p. 23) Pattern completion is "the use of a projected set to organize a work over a long span of time" (ibid, p. 210n5).

Sources

*Wilson, Paul (1992). ''The Music of Béla Bartók''. . Musical set theory {{Music-theory-stub