The Math Behind the Music: The Role of Mathematics in Musical Acoustics, Tuning Systems, and Composi

There is a book entitled "The Topos of Music: Geometric Logic of Concepts, Theory, and Performance" by G. Mazzola. It should be noted that the mathematics used in this book is quite advanced: parts of the musical theory is described by means of differential geometry, algebraic moduli theory and Topos theory. Here's a link.

In 1996, the College Entrance Exam Board Service conducted a study on all students taking their SAT exams. Students who sang or played a musical instrument scored 51 points higher on the verbal portion of the test and an average of 39 points higher on math. (reference)

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