CNMAT's Lead Researcher, Department of Music Assistant Professor Carmine-Emanuele Cella, with co-authors, recently published two new papers on the mathematical modeling of music timbre.
The paper "A three-dimensional timbre model via Peano curves" (Journal of Mathematics and Music), co-written with CNMAT's researcher Daniele Ghisi, introduces a three-dimensional geometric model of timbre, specifically designed for sound synthesis. The proposed model relies on the properties of space-filling curves for multidimensional scaling, representing, via three parameters, any static combination of sinusoidal partials with an additional noisiness component.
The paper "Color and Timbre Gestures: An Approach with Bicategories and Bigroupoids" (MDPI Mathematics), co-written with Maria Mannone, Giovanni Santini and Esther Adedoyin, investigates the complexity of colors and timbres, looking for their structural similarities through the mathematical language of categories, by using bicategories and bigroupoids.
