A computational analysis of the Sangita Ratnakara, an 11th-century Sanskrit musicological text, has revealed a sophisticated understanding of acoustics and mathematical frequency scaling. Researchers from the Indian Institute of Science have modeled the descriptions of the 'Veena' strings and found that the text provides precise ratios for harmonic overtones that match modern physics equations for vibrating strings.
The study highlights how Sarangadeva, the author, utilized recursive mathematical series to define the placement of frets, ensuring a standardized tuning system across different ragas. This discovery suggests that ancient Indian scholars had developed a form of acoustic engineering that integrated mathematical precision with aesthetic theory centuries before similar principles were formalized in Europe.