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Please use this identifier to cite or link to this item: http://hdl.handle.net/10119/12979

Title: Cognitive Similarity Grounded by Tree Distance from the Analysis of K.265/300e
Authors: Hirata, Keiji
Tojo, Satoshi
Hamanaka, Masatoshi
Keywords: time-span tree
Generative Theory of Tonal Music
cognitive reality
Issue Date: 2014-12-05
Publisher: Springer
Magazine name: Lecture Notes in Computer Science
Volume: 8905
Start page: 589
End page: 605
DOI: 10.1007/978-3-319-12976-1_36
Abstract: Lerdahl and Jackendoff's theory employed a tree in a representation of internal structure of music. In order for us to claim that such a tree is a consistent and stable representation, we argue that the difference of trees should correctly reflect our coginitive similarity of music. We report our experimental result concerning the comparison of similarity among variations on Ah vous dirai-je, maman, K. 265/300e by Mozart. First we measure the theoretical distance between two variations by the sum of the lengths of time-spans, and then we compare the result with the human psychological resemblance. We show the statistical analysis, and discuss the adequacy of the distance as a metric of similarity, which moreover becomes a metrics of theory.
Rights: This is the author-created version of Springer, Keiji Hirata, Satoshi Tojo, Masatoshi Hamanaka, Lecture Notes in Computer Science, 8905, 2014, 589-605. The original publication is available at www.springerlink.com, http://dx.doi.org/10.1007/978-3-319-12976-1_36
URI: http://hdl.handle.net/10119/12979
Material Type: author
Appears in Collections:b10-1. 雑誌掲載論文 (Journal Articles)

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