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Groovy Mathematics: Toward a Theoretical Model of Rhythm

In: Handbook of the Mathematics of the Arts and Sciences

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  • Carl Haakon Waadeland

    (Norwegian University of Science and Technology (NTNU), Department of Music)

Abstract

An attraction to rhythmic behavior and experience of rhythm is deeply rooted in man’s nature. Human life and in general all living beings are subject to a chain of structured temporal events, cycles, and well-ordered patterns of movements. Based on the antique understanding of ‘rhythmos’ as “order in the movement,” this chapter presents a theoretical model of rhythm production which is capable of making syntheses of various empirically investigated aspects of micro-timing in performances of rhythm and is also shown to be a possible approach in the construction of approximations to movement trajectories observed in studies of timed, rhythmic human behavior. The mathematical model is built upon frequency modulation of idealized, sinusoidal movement curves representing rhythmic structure and might be seen as demonstrating an application of “groovy mathematics.”

Suggested Citation

  • Carl Haakon Waadeland, 2021. "Groovy Mathematics: Toward a Theoretical Model of Rhythm," Springer Books, in: Bharath Sriraman (ed.), Handbook of the Mathematics of the Arts and Sciences, chapter 67, pages 1711-1730, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-57072-3_96
    DOI: 10.1007/978-3-319-57072-3_96
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