"It was a wonderful experience interacting with you and appreciate the way you have planned and executed the whole publication process within the agreed timelines.”
Subrat SaurabhAuthor of Kuch Woh Pal
The attempt to structure and communicate new ways of composing and hearing music has led to
musical applications of set theory, abstract algebra and number theory. Some composers have
incorporated the golden ratio and Fibonacci numbers into their work.
Though ancient Chinese, Indians, Egyptians and Mesopotamians are known to have studied the
mathematical principles of sound, the Pythagoreans (in particular Philolaus and Archytas) of
ancient Greece were the first researchers known to have investigated the expression of musical
scales in terms of numerical ratios, particularly the ratios of small integers. Their central
doctrine was that "all nature consists of harmony arising out of numbers".
From the time of Plato, harmony was considered a fundamental branch of physics, now known
as musical acoustics. Early Indian and Chinese theorists show similar approaches: all sought to
show that the mathematical laws of harmonics and rhythms were fundamental not only to our
understanding of the world but to human well-being. Confucius, like Pythagoras, regarded the
small numbers 1,2,3,4 as the source of all perfection.
Paul Nishanth F
The author is just studied M.Sc. Mathematics in Loyola College. He is researching mathematical concepts in music
