Fractal Geometry in cello suites of J. S. Bach

Beatriz Montes Martín

About this exposition

The relationship between music and mathematics is profound, as both disciplines share underlying principles. Musical harmony, rhythm, and structure often involve mathematical patterns and ratios. From the precise intervals in a melody to the rhythmic divisions in a composition, mathematics plays a fundamental role in shaping the beauty and coherence of musical expressions. Numerous studies have explored this connection, investigating it across different time eras – from the Pythagoreans in ancient Greece to contemporary composers – and including different styles and composers However, when it comes to the real world of the musicians, making music, how does this connection affect our playing? Does it have any influence on our playing or in the way we understand a certain musical piece? Does being aware of a mathematical structure or element hidden in a piece would make any difference in our performance? This is what you are going to read about in this paper.

type	research exposition
keywords	Music, mathematics, Bach, fractalanalysis, Cello Suites
date	18/11/2023
published	04/07/2024
last modified	04/07/2024
status	limited publication
share status	private
copyright	Beatriz Montes Martin
license	CC BY-NC-ND
url	https://www.researchcatalogue.net/view/2386206/2386207
published in	KC Research Portal
portal issue	3. Internal publication

name	titulo
copyright	Beatriz
license	All rights reserved
usages	picture

name	titulo
copyright	Beatriz
license	All rights reserved
usages	picture

name	t3itulo
copyright	Beatriz
license	All rights reserved
usages	picture

name	titulo4
copyright	beatriz
license	All rights reserved
usages	picture

name	titulo5
copyright	Beatriz
license	All rights reserved
usages	picture

name	koncon
copyright	Beatriz
license	All rights reserved
usages	picture

name	Fractal in nature
copyright	Beatriz
license	All rights reserved
usages	picture

name	Fractal in nature
copyright	Beatriz
license	All rights reserved
usages	picture

name	Fractal in nature
copyright	Beatriz
license	All rights reserved
usages	picture

name	Fractal in nature
copyright	Beatriz
license	All rights reserved
usages	picture

name	desordre
copyright	Beatriz
license	All rights reserved
usages	picture

name	nomos alpha
copyright	Beatriz
license	All rights reserved
usages	picture

name	results average
copyright	Beatriz
license	All rights reserved
usages	picture

name	resultados 1
copyright	Beatriz
license	All rights reserved
usages	picture

name	resultados 2
copyright	Beatriz
license	All rights reserved
usages	picture

name	resultados 3
copyright	Beatriz
license	All rights reserved
usages	picture

name	resultados 4
copyright	Beatriz
license	All rights reserved
usages	picture

name	IMG_20240212_232044
copyright	Beatriz
license	All rights reserved
usages	picture

name	IMG_20240212_232018
copyright	Beatriz
license	All rights reserved
usages	picture

name	IMG_20240212_231924
copyright	Beatriz
license	All rights reserved
usages	picture

name	IMG_20240212_231847
copyright	Beatriz
license	All rights reserved
usages	picture

name	IMG_20240212_231953
copyright	Beatriz
license	All rights reserved
usages	picture

name	5 minutes fractals
copyright	beatriz
license	All rights reserved
usages	pdf

name	resultado 2.3
copyright	Beatriz
license	All rights reserved
usages	picture

name	aaresultados experimento
copyright	Beatriz
license	All rights reserved
usages	picture

name	1.1.12
copyright	Beatriz
license	All rights reserved
usages	picture

name	deluge
copyright	Beatriz
license	All rights reserved
usages	picture

name	Wave
copyright	Beatriz
license	All rights reserved
usages	picture

name	2a161486ea8f9d66092fa4b47a944c15
copyright	Beatriz
license	All rights reserved
usages	picture

name	ebea
copyright	Beatriz
license	All rights reserved
usages	picture

name	isometric transformations
copyright	Beatriz
license	All rights reserved
usages	picture

name	crab
copyright	Beatriz
license	All rights reserved
usages	picture

name	368923d505f8f5efccda40252c454c4a
copyright	Beatriz
license	All rights reserved
usages	picture

Research Catalogue

an international database for artistic research

Fractal Geometry in cello suites of J. S. Bach (2024)

Copyrights