2 Sentences With "mensurable"

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In his treatise Ars cantus mensurabilis ("The Art of Mensurable Music"), written around 1280, he describes a system of notation in which differently shaped notes have entirely different rhythmic values. This is a striking change from the earlier system of de Garlandia. Whereas before the length of the individual note could only be gathered from the mode itself, this new inverted relationship made the mode dependent upon—and determined by—the individual notes or figurae that have incontrovertible durational values, an innovation which had a massive impact on the subsequent history of European music. Most of the surviving notated music of the 13th century uses the rhythmic modes as defined by Garlandia.
Mensural notation had developed by fits and starts during the 13th century as the old ligatures/rhythmic modes became, for various reasons, less suited to the indication of polyphony’s new subtleties, as we shall see below. Not the least problem was that notation in individual part-books was cheaper than notation in score (since each piece took up much less overall space), so a way had to be found of doing it--this would involve the development of a reliable system by which to indicate note-by-note metrical value. The beginning of such a solution was Franconian notation, so called after the theorist Franco of Cologne, who outlined the system in his c. 1260 treatise, Ars cantus mensurabilis (The art of mensurable music).