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Timing in music and temporal logic.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

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Timing in music and temporal logic. / Marsden, Alan.
In: Journal of Mathematics and Music, Vol. 1, No. 3, 2007, p. 173-189.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Marsden, A 2007, 'Timing in music and temporal logic.', Journal of Mathematics and Music, vol. 1, no. 3, pp. 173-189. https://doi.org/10.1080/17459730701666887

APA

Marsden, A. (2007). Timing in music and temporal logic. Journal of Mathematics and Music, 1(3), 173-189. https://doi.org/10.1080/17459730701666887

Vancouver

Marsden A. Timing in music and temporal logic. Journal of Mathematics and Music. 2007;1(3):173-189. doi: 10.1080/17459730701666887

Author

Marsden, Alan. / Timing in music and temporal logic. In: Journal of Mathematics and Music. 2007 ; Vol. 1, No. 3. pp. 173-189.

Bibtex

@article{81f99ba30b2342bf9b84d5d985afe74e,
title = "Timing in music and temporal logic.",
abstract = "'In-time' representations of music in which the time represented is the same time as inhabited by the agent making or using the representation are contrasted with 'out-of-time' representations. Temporal logics with a similar 'in-time' perspective, and in particular those using operators S and U for 'since' and 'until', are explored as a means of representing musical situations, with particular reference to a paradigm 'triangle-player problem'. Illustrative implementations are given in the music software Pd. New versions of the operators S and U are defined to accommodate the musically important phenomena of regularly occurring events associated with metre, and to allow representations to reflect actual timings rather than relations of temporal order. Nesting of out-of-time representations within in-time representations then becomes possible and arises naturally as a way of representing certain kinds of musical situation.",
keywords = "Representation, Musical time, Co-ordination, Temporal logic",
author = "Alan Marsden",
note = "The final, definitive version of this article has been published in the Journal, Journal of Mathematics and Music, 1 (3), 2007, {\textcopyright} Informa Plc",
year = "2007",
doi = "10.1080/17459730701666887",
language = "English",
volume = "1",
pages = "173--189",
journal = "Journal of Mathematics and Music",
issn = "1745-9737",
publisher = "Taylor and Francis Ltd.",
number = "3",

}

RIS

TY - JOUR

T1 - Timing in music and temporal logic.

AU - Marsden, Alan

N1 - The final, definitive version of this article has been published in the Journal, Journal of Mathematics and Music, 1 (3), 2007, © Informa Plc

PY - 2007

Y1 - 2007

N2 - 'In-time' representations of music in which the time represented is the same time as inhabited by the agent making or using the representation are contrasted with 'out-of-time' representations. Temporal logics with a similar 'in-time' perspective, and in particular those using operators S and U for 'since' and 'until', are explored as a means of representing musical situations, with particular reference to a paradigm 'triangle-player problem'. Illustrative implementations are given in the music software Pd. New versions of the operators S and U are defined to accommodate the musically important phenomena of regularly occurring events associated with metre, and to allow representations to reflect actual timings rather than relations of temporal order. Nesting of out-of-time representations within in-time representations then becomes possible and arises naturally as a way of representing certain kinds of musical situation.

AB - 'In-time' representations of music in which the time represented is the same time as inhabited by the agent making or using the representation are contrasted with 'out-of-time' representations. Temporal logics with a similar 'in-time' perspective, and in particular those using operators S and U for 'since' and 'until', are explored as a means of representing musical situations, with particular reference to a paradigm 'triangle-player problem'. Illustrative implementations are given in the music software Pd. New versions of the operators S and U are defined to accommodate the musically important phenomena of regularly occurring events associated with metre, and to allow representations to reflect actual timings rather than relations of temporal order. Nesting of out-of-time representations within in-time representations then becomes possible and arises naturally as a way of representing certain kinds of musical situation.

KW - Representation

KW - Musical time

KW - Co-ordination

KW - Temporal logic

U2 - 10.1080/17459730701666887

DO - 10.1080/17459730701666887

M3 - Journal article

VL - 1

SP - 173

EP - 189

JO - Journal of Mathematics and Music

JF - Journal of Mathematics and Music

SN - 1745-9737

IS - 3

ER -