Lancaster EPrints

Schenkerian analysis by computer:a proof of concept

Marsden, Alan (2010) Schenkerian analysis by computer:a proof of concept. Journal of New Music Research, 39 (3). pp. 269-289. ISSN 1744-5027

Full text not available from this repository.

Abstract

A system for automatically deriving a Schenkerian reduction of an extract of tonal music is described. Schenkerian theory is formalised 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.

Item Type: Article
Journal or Publication Title: Journal of New Music Research
Additional Information: The final, definitive version of this article has been published in the Journal, Journal of New Music Research, 39 (3), 2010, © Informa Plc
Subjects: M Music and Books on Music > M Music
Departments: Faculty of Arts & Social Sciences > Lancaster Institute for the Contemporary Arts
ID Code: 34349
Deposited By: Dr Alan Marsden
Deposited On: 05 Oct 2010 11:02
Refereed?: No
Published?: Published
Last Modified: 09 Apr 2014 21:57
Identification Number:
URI: http://eprints.lancs.ac.uk/id/eprint/34349

Actions (login required)

View Item