Analyzing Some Musical Tones Using Fast Fourier Transform

This paper presents the analysis of some musical tones by applying Fourier analysis. It is a crucial tool with wide use in several fields such as music science and signal processing. Fourier analysis, specifically; fast Fourier trans-form converts musical tones and sounds from the time domain to the frequency domain by determining the fundamental frequencies and amplitudes. The study focuses on simple and complex tones by examining audio recordings of the number tones on telephone keypad, and two different and distinct symphonies utilizing MatLab software program. Moreover, it emphasizes the practical application of fast Fourier transform in ana-lyzing musical tones, and the strong connection between mathematics and music science.