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BAWCTM 2024

Chevalier T. Thomas Elizabeth College for Women in Collaboration with CSIR, Institute of Minerals and Materials Technology, Ministry of Science and Technology, Govt. of India and Shiksha Sanskriti Utthan Nyas, Tamil Nadu conducted the BAWCTM 2024…

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Mathematics Education in India: Pedagogy and Methods – A Teachers’ Training Workshop The teacher’s training workshop on Mathematics Education in India: Pedagogy and Methods was

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Publications

G Sreeram, Aditya Kolachana,

The saṃyoga-meru: A combinatorial tool in the Saṅgīta-ratnākara,

Historia Mathematica,
Volume 66, 2024, Pages 14-25, ISSN 0315-0860,

https://doi.org/10.1016/j.hm.2024.02.003.
(https://www.sciencedirect.com/science/article/pii/S0315086024000053)

Abstract: The Saṅgīta-ratnākara (Ocean of Music) of Śārṅgadeva (c. 1225 CE) is a 13th century text on musicology in Sanskrit. The fifth chapter of the Saṅgīta-ratnākara deals with a general analysis of all possible rhythms (tālas) which can be obtained by combining a set of basic rhythmic components known as tālāṅgas. Here, Śārṅgadeva describes the construction of the saṃyogameru (Table of Combinations), a tool that tabulates the total number of possible tālas of a given duration which are obtained by combining elements of different subsets of tālāṅgas. In this paper, we discuss the mathematical rationale employed by Śārṅgadeva in the construction of the saṃyogameru.

Keywords: Saṃyoga-meru; Saṅgīta-ratnākara; Śārṅgadeva; Pratyaya; Tāla; Combinatorics; Composition