Mathematical Structures in Tabla: An Analytical Study of Layakari and Tihai in Hindustani Rhythm

The art of Tabla, one of India’s most sophisticated percussion traditions, reveals a profound relationship between music and mathematics. This paper explores the intricate rhythmic structures that define Tabla performance, focusing on Layakari (rhythmic modulation) and Tihai (cyclic cadence). These two concepts demonstrate how the performer manipulates time through calculated divisions, permutations, and rhythmic improvisations. Through analytical study of Hindustani rhythmic cycles (Tālas) such as Teental, Jhaptaal, and Rupak, this paper highlights the mathematical genius behind Tabla artistry. It also discusses the contributions of great Tabla maestros and the relevance of mathematical awareness in modern Tabla pedagogy.