Symphony of Space: Where Architecture meets Melody

Abstract

This article explores the mathematical link between parametric architecture and music, revealing two key approaches to examining their relationship: conceptual and formal. The conceptual approach emphasizes space and its defining characteristics, while the formal approach delves into the physical forms by analyzing external and internal layers. Externally, it examines the relationship between frequencies, vibrations, and form creation. Internally, it focuses on the shared mathematical proportions in both music and architecture. Utilizing Ernst Chladni's cymatics experiments, which relate sound waves to geometric shapes, the research develops a mathematical formula to transform musical notes into two-dimensional forms. This quantitative approach demonstrates how both disciplines can be interconnected through mathematical language, algorithms, and geometry, offering insights into sound’s structural representation. The study also suggests future directions for research, encouraging further exploration of the intersections between sound and architectural form in parametric design.