Features vs Bands: Statistical Analysis Between Design Features and Spectral Power for a Set of Culturally Relevant Violins

This study presents a comprehensive statistical analysis exploring the relationship between the design parameters and the power of the sound spectrum of culturally significant violins. Our research aims to quantitatively correlate physical design elements with acoustic output in two different representations: modal features and octave-band averages of the sound pressure level. Key design parameters, such as body shape and wood properties, were systematically documented. The statistical analysis focused on identifying patterns and correlations between the physical characteristics of the violins and their spectral power distributions. Our findings reveal intriguing connections between certain design parameters and specific aspects of the violins' acoustic output. These insights not only contribute to a deeper understanding of the acoustic impact of violin craftsmanship but also bridge the gap between traditional artisanship and scientific inquiry. The study's implications extend to violin makers, performers, and historians, offering a novel perspective on the interplay between design, culture, and acoustics in these instruments.