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In music, a prolation canon or mensuration canon is a type of canon, a musical composition wherein the main melody is accompanied by one or more imitations of that melody in other voices. Not only do the voices sing or play the same melody, they do so at different speeds (or ''prolations'', a mensuration term that dates to the medieval and Renaissance eras). Accompanying voices may enter either simultaneously or successively. Prolation canons are among the most difficult to write, and are relatively rare in the repertory, though they are most common in the early Renaissance and from the 20th century to the present. Examples of prolation canons from different eras include ''Le Ray Au Soleyl'' by Johannes Ciconia (late 14th century); the entire ''Missa prolationum'' by Johannes Ockeghem (mid-15th century), in which each separate section of the mass explores a different prolation (or different gap between entries and relative speed of each voice); the Agnus Dei from the ''Missa L'homme armé super voces musicales'' by Josquin des Prez (late 15th century); the Agnus Dei from the ''Missa L'homme armé'' by Pierre de la Rue (early 16th century); the ''Canon a 4 per Augmentationem et Diminutionem'', the last in a set of 14 canons written as an appendix to the ''Goldberg Variations'', by Johann Sebastian Bach; and in the 20th century, the ''Cantus in Memoriam Benjamin Britten'' by Arvo Pärt (1976). Additionally, Larry Polansky has written numerous four-voice prolation canons whose melodies are permutations of a limited number of elements, and Mark Alburger, in ''Immortality'' from ''San Rafael News'', directly maps a new melody into the framework of the aforementioned Josquin. A particularly striking example of prolation canon occurs twice in the opening movement of Shostakovich's Symphony No. 15 (1971), first in the strings (Rehearsal Figure 29) and later in the woodwind. In this example, the first 12 bars of the Agnus Dei II of the earlier of the two masses Josquin wrote based on the ''L'homme armé'' tune, each voice sings the same music, but at different speeds. The top voice is barred in 3/4 meter for clarity. The slowest voice is the one in the middle. The lowest voice sings the same music at twice the speed of the slowest, and the highest voice sings the same music at three times the speed of the slowest. In the original score, only one part is given: a notation over the single line of music indicates the three prolations to be used, and a second notation over the line indicates where each voice should end if sung correctly. ==References== * Article "Canon," ''The New Grove Dictionary of Music and Musicians'', ed. Stanley Sadie. 20 vol. London, Macmillan Publishers Ltd., 1980. ISBN 1-56159-174-2 * ''Harvard Anthology of Music''. Two volumes. Cambridge, Massachusetts, Harvard University Press, 1949. ISBN 0-674-39300-7 * ''The New Harvard Dictionary of Music'', ed. Don Randel. Cambridge, Massachusetts, Harvard University Press, 1986. ISBN 0-674-61525-5 * "The Notation of Polyphonic Music 900-1600", Willi Apel, Cambridge, Massachusetts, The Medieval Academy of America, 1953, Library of Congress No. -61-12067 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Prolation canon」の詳細全文を読む スポンサード リンク
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