Exploring the Natural Connection of Mathematical and Musical Concepts Using Mathematica

Abstract

Math and music share one very common property; they are both universal languages of the world. Their scientific relationship represents another powerful tie. The harmonious, unique, and enjoyable tunes we hear are surrounded by scientific and mathematical concepts that make music possible. Exploring this natural connection between math and music allows for a more complete understanding of both these subjects. By analyzing the formulas used to create musical notes, examining how to apply matrices to music, and implementing an inter-disciplinary unit of math and music into the classroom, the reader of this thesis will discover the multitude of similarities that math and music share.