• manas sahu

Abstract Musical sound is generally not a simple wave produced by a single frequency. It is usually a complex periodic signal consisting of a fundamental frequency and a set of related higher frequencies called harmonics. The characteristic sound quality, or timbre, of a musical instrument, the human voice, or another sound source depends mainly on its harmonic spectrum, harmonic amplitudes, phase relationships, and spectral changes over time. This paper examines the physical and mathematical nature of harmonics in musical sound through Fourier analysis, compares harmonic structures in different instruments, discusses their role in consonance and dissonance, and considers their applications in modern digital music technology. Special attention is given to the fact that harmonics do not merely help determine pitch; they also play a central role in instrument identification, sound brightness, timbre, and musical expression.

Key words : Harmonics, Fundamental Frequency, Musical Sound, Fourier Analysis, Timbre, Spectrum, Consonance, Dissonance, Acoustics

"PHYSICAL AND MUSICAL STUDY OF HARMONICS IN MUSICAL SOUND", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.13, Issue 9, page no.a778-a783, September-2026, Available :http://www.jetir.org/papers/JETIR2609097.pdf

"PHYSICAL AND MUSICAL STUDY OF HARMONICS IN MUSICAL SOUND", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.13, Issue 9, page no. ppa778-a783, September-2026, Available at : http://www.jetir.org/papers/JETIR2609097.pdf