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The Magical Number Two, Plus or Minus One

Some Limits on our Capacity for Processing Musical Information

Bibliographic Data

ID20407407
AuthorsAdam Ockelford (0000-0001-6826-6719, Centre for International Research in Music Education, University of Surrey Roehampton, corresponding author)
Year2002
Volume6
Issue2
Pages185-219
Publication date2002-09-01
Open AccessYes
TypeARTICLE
VenueMusicae Scientiae (JOURNAL)
Journal identifiersISSN: 1029-8649 • E-ISSN: 2045-4147
PublisherSAGE Publications (PUBLISHER • US)
DOI10.1177/102986490200600205
OpenAlexW1955608452
LanguageEN
Citations received6
References cited12

Like all fields of human artistic endeavour, music is constrained by our cognitive processing requirements and limitations (Swain, 1986; Lerdahl, 1988; Huron, 2001). This articleconsiders particular forms of constraint pertaining to the relationships that the structure-seeking mind (subconsciously) fabricates between perceived musical events. It is proposed that 2±1 may be a universal limitation pertaining to the level of relationships so ideated. That is, in terms of Lewin'S (1987) theoretical framework in which “intervals” can be intuited between the “elements” of musical “spaces”, it is posited that the cognition of musical structure occurs either through intervals (level 1), through intervals between these (level 2), or — in some circumstances — through intervals between these(level 3). This proposition is explored through the psychomusicological model developed by Ockelford (1991, 1993, 1999), which too analyses musical structure in terms of the relationships that may be cognised between its discrete perceptual components. In particular, the model identifies a type of cognitive link through which events (at any level) arefelt to imply others the same or similar — through so-called “zygonic” relationships. This theory suggests a further general principle: that the highest level of relationship inoperation at any given point must be zygonic if the music is to be structurally coherent. Evidence for this, and for the limit on the level of relationships of 2±1, is offeredthrough a series of musical examples, which illustrate a variety of musical organisation in action. Finally, empirical work is suggested to explore further the theoretical ideas that arepresented here

Cognition · Cognitive psychology · Cognitive science · Epistemology · Musical · Musical form · Perception · Proposition · Subconscious · Communication · Mathematics · Music and Audio Processing · Music Technology and Sound Studies · Neuroscience and Music Perception · Philosophy · Psychology · Social Psychology

  • Relating Musical Structure and Content to Aesthetic Response

    Open Access•Adam Ockelford•Journal of the Royal Musical…•2005

  • A Music Module in Working Memory? Evidence from the Performance of a Prodigious Musical Savant

    Open Access•Adam Ockelford•Musicae Scientiae•2007

  • Exploring the structural principles underlying the capacity of groups of notes to function concurrently in music

    Open Access•Adam Ockelford•Musicae Scientiae•2010

  • Similarity relations between groups of notes

    Open Access•Adam Ockelford•Musicae Scientiae•2009

  • Extending zygonic theory to analyse patterns of musical influence between children creating pieces of music in groups, in England and Japan

    Open Access•Kagari Shibazaki, Adam Ockelford et al.•Musicae Scientiae•2013

  • Mapeando o desenvolvimento musical em alunos com as necessidades mais complexas

    Open Access•Adam Ockelford, Grover Welch et al.•Orfeu•2023

  • The Phenomenology of Internal Time-Consciousness

    Edmund Husserl, Martin Heidegger et al.•The Phenomenology of Internal…•2019

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    George A Miller, George Miller•Psychological Review•1956

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    James R Hughes, David Lewin•Music Analysis•1989

  • Husserl, Perception, and Temporal Awareness

    David Woodruff Smith, Izchak Miller•Philosophy and Phenomenological…•1987

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    Fred Lerdahl•Contemporary Music Review•1992

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Citations per year0.29
Citation span2005 - 2023 (19)
Highly citedNo

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