Maximal translational equivalence classes of musical patterns in point-set representations

Tom Collins, David Meredith

Publikation: Bidrag til bog/antologi/rapport/konference proceedingKonferenceartikel i proceedingForskningpeer review

3 Citationer (Scopus)
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Abstract

Representing musical notes as points in pitch-time space causes repeated motives and themes to appear as translationally related patterns that often correspond to maximal translatable patterns (MTPs). However, an MTP is also often the union of a salient pattern with one or two temporally isolated notes. This has been called the problem of isolated membership. Examining the MTPs in musical works reveals that salient patterns may correspond more often to the intersections of MTPs than to the MTPs themselves. We therefore explore patterns that are maximal with respect to their translational equivalence classes (MTEC). We prove that a pattern is MTEC if and only if it can be expressed as the intersection of MTPs. MTECs could therefore solve the problem of isolated membership. We also prove a relationship between MTECs and so-called conjugate patterns.
OriginalsprogEngelsk
TitelMathematics and Computation in Music : 4th International Conference, MCM 2013, Montreal, QC, Canada, June 12-14, 2013. Proceedings
Antal sider12
ForlagSpringer Publishing Company
Publikationsdato2013
Sider88-99
ISBN (Trykt)978-3-642-39356-3
ISBN (Elektronisk)978-3-642-39357-0
DOI
StatusUdgivet - 2013
BegivenhedInternational Conference on Mathematics and Computation in Music - Schulich School of Music, McGill University, Montreal, Canada
Varighed: 12 jun. 201314 jun. 2013
Konferencens nummer: 4

Konference

KonferenceInternational Conference on Mathematics and Computation in Music
Nummer4
LokationSchulich School of Music, McGill University
Land/OmrådeCanada
ByMontreal
Periode12/06/201314/06/2013
NavnLecture Notes in Computer Science
Vol/bind7937
ISSN0302-9743

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