Color and Timbre Gestures: An Approach with Bicategories and Bigroupoids

Maria Mannone, Giovanni Santini, Esther Adedoyin and Carmine E. Cella
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Maria Mannone: Department of Engineering, University of Palermo, 90128 Palermo, Italy
Giovanni Santini: Music Department, Faculty of Arts, Ho Sin Hong Campus, Kowloon Tong, Hong Kong
Esther Adedoyin: First Irish Business School, Egbeda-Idimu, Lagos 100276, Nigeria
Carmine E. Cella: Center for New Music and Audio Technologies (CNMAT), University of California, 1750 Arch Street, Berkeley, CA 94709, USA

Mathematics, 2022, vol. 10, issue 4, 1-19

Abstract: White light can be decomposed into different colors, and a complex sound wave can be decomposed into its partials. While the physics behind transverse and longitudinal waves is quite different and several theories have been developed to investigate the complexity of colors and timbres, we can try to model their structural similarities through the language of categories. Then, we consider color mixing and color transition in painting, comparing them with timbre superposition and timbre morphing in orchestration and computer music in light of bicategories and bigroupoids. Colors and timbres can be a probe to investigate some relevant aspects of visual and auditory perception jointly with their connections. Thus, the use of categories proposed here aims to investigate color/timbre perception, influencing the computer science developments in this area.

Keywords: cross-modal correspondences; equivalence classes; category theory; bicategories; complexity (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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