Fibonacci sequence and golden section in musical spaces
Document Type
Article
Publication Date
1-1-2022
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.
Keywords
Beauty in music, Creative Chaos in Asymmetry, Fibonacci Sequence (FS), Golden Section (GS), Symmetry
Divisions
PHYSICS,creative
Funders
None
Publication Title
Symmetry: Culture and Science
Volume
33
Issue
2
Publisher
Symmetrion