Groovy Mathematics: Toward a Theoretical Model of Rhythm

Carl Haakon Waadeland ()
Additional contact information
Carl Haakon Waadeland: Norwegian University of Science and Technology (NTNU), Department of Music

Chapter 67 in Handbook of the Mathematics of the Arts and Sciences, 2021, pp 1711-1730 from Springer

Abstract: 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.”

Keywords: Rhythm; Rhythmos; Timing; Music performance; Rhythmic behavior; Frequency modulation; Model; Synthesis; Movement trajectories (search for similar items in EconPapers)
Date: 2021
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-57072-3_96

Ordering information: This item can be ordered from
http://www.springer.com/9783319570723

DOI: 10.1007/978-3-319-57072-3_96

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().