3,314 research outputs found

    The Nature of Mathematical Reasoning.

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    In the Mazes of Mathematics: A Series of Perplexing Questions.

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    Six Times Six Is Thirty-Six : And Six Is Forty-Two

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    https://digitalcommons.library.umaine.edu/mmb-vp/5957/thumbnail.jp

    In the Mazes of Mathematics: Geometric Puzzles.

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    Deployments of change and novelty in a corpus of popular music

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    This paper considers aspects of form and texture in 20th-century American popular music using a corpus of textural/lyrical/vocal annotations added to the McGill-Billboard corpus (Burgoyne, 2012). The analysis tracks two categories of events: 1) changes differ from immediately prior events; while 2) novelties have not happened previously within a song. I additionally divide these events into their specific species of change (i.e., whether the change involves the introduction of new instrumentation, new harmonizations, etc.), and correlate these events with their position in each track in terms of both clock time and formal zone. These interconnections allow me to demonstrate the types of events that appear at particular places within a song, and suggest ways that listeners may use musical cues to form expectations about a song's form and length

    Locating Emergent Creativity with Similarity Metrics

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    Using corpora of 19 common-practice tonal composers, this article uses a variety of similarity metrics including cluster analyses and cross entropy to identify points of particular stylistic uniqueness. Throughout four computational experiments, we find that geography and chronology determine much inter-corpus similarity; however, points of dissimilarity – in particular, dissimilarities between larger groupings of similar composers – are described. Specific properties of stylistic imitations are also investigated and found to be more normative than average. These data are interpreted to arise due to emergent phenomena rather than being driven by individual “creative” composers
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