Abstract
This paper, which summarizes a collaboration with D. Amodio (Conservatorio Benedetto Marcello, Venezia), describes how geometric techniques can be used to analyze an artwork and to obtain parameters employed for the composition of a musical score; in particular these approach was applied to a painting by Jackson Pollock and a poem by Giacomo Leopardi. In the first case, the initial task is the study of the graphic structure of the canvas, looking for forms and their spatial organization; this work is followed by the choice of the mathematical techniques used to examine the different classes of objects previously singled out; the last step is the computation of the parameters which will be used by the composer to orchestrate the score.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Amodio D (2013) From Pollock’s Summertime to Jacksontime. In: Imagine math 2. Springer, Milano, pp 151–159
Amodio D (2015) Sonorous Geometries of Infinity. In: Imagine maths 4. UMI, Bologna, pp 113–132
Blake M (2019) https://www.youtube.com/watch?v=wK7tq7L0N8E, Visited May 5th 2019
de Fabritiis C (2013) From Canvas to Music: Mathematics as a Tool for the Composition of Jackson Time. In: Imagine math 2. Springer, Milano, pp 161–169
de Fabritiis C (2015) Simple geometries of infinity. In: Imagine maths 4. UMI, Bologna, pp 123–133
Erikson L (2019) http://pisymphony.com/gpage.html, Visited May 28th 2019
Filchakov PF (1964) Approximated methods for conformal mapping. USSR, Kyiv (Russian)
Gena P (2011) Apropos sonification: a broad view of data as music and sound. AI & Soc 27:197–205
Gena P (2019) http://www.petergena.com/DNAmus.html. Visited May 5th, 2019
Gena P, Strom C (2019) http://www.petergena.com/docs/gena-strom-DNA.pdf. Visited May 5th, 2019
Gentile MT (1991) Leopardi e la forma della vita (genesi, formazione, tradizione). Bulzoni, Roma
Musti M (1980) La sintassi sonora: analisi delle fonie leopardiane in «A Silvia» (vv. 1–6), Misure critiche 9–10, pp 57–74
NASA (2019) Hubble Treasury Trove Sonification, http://svs.gsfc.nasa.gov/13061. Visited May 5th, 2019
Prisco A (2012) DNA in sound—from Emergency Index 2011. Ugly Duckling Presse, Brooklyn
Prisco A (2019) DNA in musica, http://www.youtube.com/watch?v=FmmitflrxNw. Visited May 5th, 2019
Zamerski J (2019) https://www.youtube.com/watch?v=AOaR4NS7ObI. Visited May 5th, 2019
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2020 Springer Nature Switzerland AG
About this chapter
Cite this chapter
de Fabritiis, C. (2020). Interplays of Geometry and Music: How to Use Geometry to Analyze an Artwork in Order to Compose a Musical Piece. In: Magnaghi-Delfino, P., Mele, G., Norando, T. (eds) Faces of Geometry. From Agnesi to Mirzakhani. Lecture Notes in Networks and Systems, vol 88. Springer, Cham. https://doi.org/10.1007/978-3-030-29796-1_8
Download citation
DOI: https://doi.org/10.1007/978-3-030-29796-1_8
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-29795-4
Online ISBN: 978-3-030-29796-1
eBook Packages: EngineeringEngineering (R0)