Projected set
Encyclopedia
In music
Music
Music is an art form whose medium is sound and silence. Its common elements are pitch , rhythm , dynamics, and the sonic qualities of timbre and texture...

 a projected set is a technique where a collection of pitches
Pitch (music)
Pitch is an auditory perceptual property that allows the ordering of sounds on a frequency-related scale.Pitches are compared as "higher" and "lower" in the sense associated with musical melodies,...

 or pitch class
Pitch class
In music, a pitch class is a set of all pitches that are a whole number of octaves apart, e.g., the pitch class C consists of the Cs in all octaves...

es is extended in a texture
Texture (music)
In music, texture is the way the melodic, rhythmic, and harmonic materials are combined in a composition , thus determining the overall quality of sound of a piece...

 through the emphasized simultaneous
Simultaneity
Simultaneity is the property of two events happening at the same time in at least one frame of reference. The word derives from the Latin simul, at the same time plus the suffix -taneous, abstracted from spontaneous .The noun simult means a supernatural coincidence, two or more divinely...

 statement of the a set 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
Phrase (music)
In music and music theory, phrase and phrasing are concepts and practices related to grouping consecutive melodic notes, both in their composition and performance...

 may end on notes which are the members of the set, as in the downbeat of m. 19 through measures 46 of Béla Bartók
Béla Bartók
Béla Viktor János Bartók was a Hungarian composer and pianist. He is considered one of the most important composers of the 20th century and is regarded, along with Liszt, as Hungary's greatest composer...

's Second String Quartet. (Wilson 1992, p. 23)

Pattern completion
Pattern completion
In music pattern completion is "the use of a projected set to organize a work over a long span of time" . The compositional technique has been used by Béla Bartók and Igor Stravinsky.-References:...

is "the use of a projected set to organize a work over a long span of time" (ibid, p. 210n5).
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