Abstract

Mathematics is often perceived by students as being difficult. However, when they see how math and music are intimately related, their attitude often changes. Some of the most fundamental aspects of music are described by math. For example, the Circle of Fifths closely reflects musical structure and is used to create scales and chord progressions. The Circle is structured around the mathematical relations of frequency ratios of the corresponding notes in a 12-tone scale. The reactions to music of consonance and dissonance are related to the relative ratios of the notes in a chord or note sequence in a piece. The connection between music and math forms the basis for creating instruments that play the music. I will suggest ways to present these concepts to students for their greater appreciation of music and math.

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