Shape Computation Lab

Isovox

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01. Arithmetic of color and sound.

02. Catalogue of the subsymmetry groups 1-15 out of the 98 subsymmetry groups of the cube.

03. Pythagorean representations of ratios in n-dimensional spaces, for n ≤ 3.

04. Plan and section of Palladio's Villa Capra

05. Convex partitions of the Villa Capra with associated ratios of colors and sounds.

06. Synaesthetic performance of Villa Capra based on convex partition.

07. Isovist and isovox partitions of the Villa Capra with associated ratios of colors and sounds.

08. Synaesthetic performance of Villa Capra based on Isovist and isovox partitions.

09. Automatic construction of frequencies of sound based on the ray-tracing algorithm.

Athanassios Economou and Matthew Swarts

2006

 

Keywords: Mappings; Partitions; Architecture and Music; Proportion; Isovist; Isovox; Andrea Palladio; Villa Capra

The relevance of music theory as an interpretive framework for the understanding of Palladio's work has been one of the most debated subjects in the realm of architectural theory and criticism. Typically the debate is quite abstract and it focuses on possible mappings between the ratios found in Palladio’s plans and corresponding ratios used in contemporary musical temperaments. The project here rather focuses on the actual performance of the ratios found in Palladio's work and the implications of this performance, melodic and harmonic, for the perception of the space for a situated observer/performer. To that extent the study suggests a model of mapping between space, sound and color and correlates that with polygon partition theory to simulate movement within a space. All examples to test these ideas are based on Palladio’s Villa Capra.