Skip to main content

Research Repository

Advanced Search

Quantum GestART: identifying and applying correlations between mathematics, art, and perceptual organization

Mannone, Maria; Favali, Federico; Di Donato, Balandino; Turchet, Luca

Authors

Maria Mannone

Federico Favali

Luca Turchet



Abstract

Mathematics can help analyze the arts and inspire new artwork. Mathematics can also help make transformations from one artistic medium to another, considering exceptions and choices, as well as artists' individual and unique contributions. We propose a method based on diagrammatic thinking and quantum formalism. We exploit decompositions of complex forms into a set of simple shapes, discretization of complex images, and Dirac notation, imagining a world of “prototypes” that can be connected to obtain a fine or coarse-graining approximation of a given visual image. Visual prototypes are exchanged with auditory ones, and the information (position, size) characterizing visual prototypes is connected with the information (onset, duration, loudness, pitch range) characterizing auditory prototypes. The topic is contextualized within a philosophical debate (discreteness and comparison of apparently unrelated objects), it develops through mathematical formalism, and it leads to programming, to spark interdisciplinary thinking and ignite creativity within STEAM.

Citation

Mannone, M., Favali, F., Di Donato, B., & Turchet, L. (2021). Quantum GestART: identifying and applying correlations between mathematics, art, and perceptual organization. Journal of Mathematics and Music, 15(1), 62-94. https://doi.org/10.1080/17459737.2020.1726691

Journal Article Type Article
Acceptance Date Dec 9, 2019
Online Publication Date Mar 11, 2020
Publication Date Jan 2, 2021
Deposit Date Aug 9, 2021
Journal Journal of Mathematics and Music
Print ISSN 1745-9737
Electronic ISSN 1745-9745
Publisher Taylor & Francis
Peer Reviewed Peer Reviewed
Volume 15
Issue 1
Pages 62-94
DOI https://doi.org/10.1080/17459737.2020.1726691
Keywords Gestural similarity, Gestalt, diagrams, Dirac notation, sonification
Public URL http://researchrepository.napier.ac.uk/Output/2791893