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• W2000776412 abstract "Abstract A system for automatically deriving a Schenkerian reduction of an extract of tonal music is described. Schenkerian theory is formalized in a quasi-grammatical manner, expressing a reduction as a binary-tree structure. Computer software which operates in the manner of a chart parser using this grammar has been implemented, capable of deriving a matrix of reduction possibilities, in polynomial time, from a representation of the score. A full reduction of the extract can be discovered by selecting a tree from this matrix. The number of possible valid reductions for even short extracts is found to be extremely large, so criteria are required to distinguish good reductions from bad ones. To find such criteria, themes from five Mozart piano sonatas are analysed and samples of ‘good’ reductions (defined by reference to pre-existing analyses of these themes) are compared with randomly sampled reductions. Nine criteria are thereby derived, which can be applied in the process of parsing and selecting a reduction. The results are promising, but the process is still too computationally expensive—only extracts of a few bars in length can be reduced—and more extensive testing is required before the system can be properly claimed to perform automatic Schenkerian analysis." @default.
• W2000776412 created "2016-06-24" @default.
• W2000776412 creator A5086203416 @default.
• W2000776412 date "2010-09-01" @default.
• W2000776412 modified "2023-10-16" @default.
• W2000776412 title "Schenkerian Analysis by Computer: A Proof of Concept" @default.
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• W2000776412 doi "https://doi.org/10.1080/09298215.2010.503898" @default.
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