Abstract
This paper concerns the connection between Mathematics and Music. After a description of the nature of sound, the problem of the construction of the musical scale, from the studies of Pythagoras to the tempered scale is considered. An algorithm for the construction of a scale is given. Mathematics Subject Classication: 97Q80, 97N80, 97N10
Highlights
IntroductionIn order to show the strict connection between Mathematics and Physics, we decided to use a subject that is really interesting for young students: music
Some year ago we participated in a lab entitled “Models for the Community”
In order to show the strict connection between Mathematics and Physics, we decided to use a subject that is really interesting for young students: music
Summary
In order to show the strict connection between Mathematics and Physics, we decided to use a subject that is really interesting for young students: music. We considered several aspects starting from the nature of sound and its propagation in waves. This one is the part mostly connected to Physics. In this paper, firstly we recall our past teaching experiences and we give a short algorithm for the construction of a temperate musical scale. The paper is organized as follows: in Section 2 we consider sound waves from a physical point of view; in Section 3 we deal with the problem of a musical scale construction and we present an algorithm for doing it; in Section 4 we draw conclusions
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