Fibonacci sequence and golden section in musical spaces

Lee, S.P. and Ooi, Chong Heng Raymond and Wang, I.T. (2022) Fibonacci sequence and golden section in musical spaces. Symmetry: Culture and Science, 33 (2). 137 -154. ISSN 08654824, DOI https://doi.org/10.26830/symmetry_2022_2_137.

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Abstract

The abstraction of the Fibonacci sequence through chord progressions can be applied in music analysis. The concept of inferring semitone spaces as vertical pitch heights (y) to music flowing at a horizontal time (x) as a form of 2-dimensional abstraction are ways of charting scientific influences in music. The article illustrates an excerpt (bar 113-120) from Bach’s Violin Chaconne (BWV 1004) with the Fibonacci sequence that identifies the vision in symmetry, whereas from Gubaidulina’s piano Chaconne (bar 117-204), creative chaos in asymmetry has been found at the Golden Section that presents a sequence in Fibonacci. These excerpts posit mathematical creativity manifested as the value of symmetry or chaos in composition through the lens of Fibonacci. © 2022, Symmetrion. All rights reserved.

Item Type: Article
Funders: None
Uncontrolled Keywords: Beauty in music; Creative Chaos in Asymmetry; Fibonacci Sequence (FS); Golden Section (GS); Symmetry
Subjects: M Music and Books on Music > M Music
Divisions: Faculty of Science > Department of Physics
Faculty of Creative Arts (formerly known as the Cultural Centre)
Depositing User: Ms. Juhaida Abd Rahim
Date Deposited: 30 Nov 2023 06:58
Last Modified: 30 Nov 2023 06:58
URI: http://eprints.um.edu.my/id/eprint/43999

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