On Mathematical Functions for Theoretical and Experimental Distributions for Shrutis (Micro Tonal Intervals) and Their Application in Hindustani Music

Abstract

In this work, exact mathematical functions have been formulated for three important theoretical Shruti (micro tonal interval) distributions, i.e. for Western Compilation, Deval, and Nagoji Row in Hindustani music. A generalized mathematical function for Shrutis has also been formulated. This generalized function shows a very high order of conformity with the experimentally derived Shruti distribution, than those of the theoretical Shruti distributions.

Conferences: 1)International Conference On Frontiers of Mathematical Sciences with Applications (ICFMSA-2012) of Calcutta Mathematical Society,India, December 07-09, 2012; 2)6th International Conference of IMBIC on "Mathematical Sciences for Advancement of Science and Technology" (MSAST 2012)