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Expo (Stockhausen) : ウィキペディア英語版 | Expo (Stockhausen)
''Expo'', for three performers with shortwave receivers and a sound projectionist, is a composition by Karlheinz Stockhausen, written in 1969–70. It is Number 31 in the catalogue of the composer's works. ==Conception== ''Expo'' is the penultimate in a series of works dating from the late 1960s which Stockhausen designated as "process" compositions. These works in effect separate the "form" from the "content" by presenting the performers with a series of transformation signs which are to be applied to material that may vary considerably from one performance to the next. In ''Expo'' and three companion works (''Kurzwellen'' for six performers, ''Spiral'' for a soloist, and ''Pole'' for two), this material is to be drawn spontaneously during the performance from short-wave radio broadcasts . The processes, indicated primarily by plus, minus, and equal signs, constitute the composition and, despite the unpredictability of the materials, these processes can be heard from one performance to another as being "the same" . Each plus, minus, or equal sign indicates that, upon repetition of an event, the performer is to increase, decrease, or maintain the same level in one of four musical dimensions (or "parameters"): overall duration of the event, number of internal subdivisions, dynamic level, or pitch register/range. It is up to the performer to decide which of these dimensions is to be affected, except that vertically stacked signs must be applied to different parameters . Despite this indeterminacy, a large number of plus signs (for example) will result in successive events becoming longer, more finely subdivided, louder, and either higher or wider in range; a large number of minus signs will produce the reverse effect . To the signs previously used in ''Prozession'', ''Kurzwellen'', and ''Spiral'' Stockhausen adds some new ones.
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