APPLICATION OF ALGEBRAIC STRUCTURE GROUP THEORY
TO INDIAN MUSICAL (Carnatic as well as Hindustani)-NOTES
Dr. Hiteshwar singh1, Dhananjay Kumar Mishra2
1Retd. Assistant Professor, M.L.S.M.College, Darbhanga; 2Mathematics department, L.N.M.U.Darbhanga, Email: dhananjaykmdbg@gmail.com
Abstract
This research paper explains the behavior and relationship that exist between Indian musical notes and group theory. The Indian musical notes construct abelian additive group modulo(12).We have also discussed upon some propositions as well as theorems one of important theorem is Dido’s Theorem. It is seen that the musical notes behaviors satisfied all group axioms and are connected to group theory.
Keywords: Group theory, abelian group modulo(12), Indian musical notes and inverse, Dido’s theorem, transposition, invertion, musical clock, Sylow’s theorem, cyclic group.
