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- W145963314 abstract "This paper formally characterizes the expressiveness of three approaches for polyphonic pattern representation and matching: (mathcal{R}) (relational patterns); (mathcal{H}) (Humdrum); and (mathcal{SPP})(Structured Polyphonic Patterns). Relational networks have the highest expressiveness but (cal H) and (mathcal{SPP}) admit faster matching algorithms. It is shown how (cal H) and (mathcal{SPP}) can be cast as different restrictions of (mathcal{R}), both providing an expressive subset of full relational networks. In addition, the intersection of (mathcal{H}) and (mathcal{SPP}) yields yet another language: (mathcal{SPP}_{mathtt{seq}}), a restriction of (mathcal{SPP}) based on sequences of layered components. This new language is expressive enough to capture basic polyphonic patterns such as suspensions and parallel fifths and may be a new, more efficient approach to pattern extraction. The formal arguments contained in this paper are illustrated with musical examples extracted from J.S. Bach chorale harmonizations." @default.
- W145963314 created "2016-06-24" @default.
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- W145963314 date "2009-01-01" @default.
- W145963314 modified "2023-09-23" @default.
- W145963314 title "Temporal Patterns in Polyphony" @default.
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- W145963314 doi "https://doi.org/10.1007/978-3-642-02394-1_4" @default.
- W145963314 hasPublicationYear "2009" @default.
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