The Role Of Mathematics And Music On Music And The Basic Physics Of Sound

964 Words May 6th, 2015 4 Pages

Musical Notes Can Count
Jerri Pineda
Abstract— The development of mathematics involves early connections with music and the basic physics of sound. Mathematics is present in the natural occurrence of the ratios and intervals found in music and modern tuning systems. As people age, their hearing becomes dull and require change in the music ratio and interval to hear the same tune as when young. In like manner, the interval increases until a perfect pitch is heard. In this paper we will examine both the mathematics and music background for these ideas. We will examine the Fourier series representations of sound waves. Furthermore, we will see how they relate to harmonics and tonal color of instruments. The goal in this paper is aimed at exploring the relationship between mathematics and music. We will also include a specific discipline of mathematics and Fourier analysis. The Fourier analysis can be used to identify naturally occurring harmonics. They are simply the basis of all musical composition to model sound and break up sound into the pieces that define it.

Index Terms—Fourier analysis, Sine waves, Fibonacci sequence, Golden Ratio

I. INTRODUCTION
Music was important to the pattern and customs of Greek life. It was an important feature of religious festivals, marriage and funeral rituals, and banquet gatherings. The world’s knowledge of ancient Greek music comes from actual fragments of musical scores, literary references, and the remains of musical instruments.…

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