Abstract
Music is a privileged ground for alliance between art and science, and mathematics plays a central role in this alliance. The questions and problems that have arisen in music theory have created a strong motivation for mathematical research at many points in history. The Greek mathematician Pythagoras drew attention to the holistic relationships between the frequencies of notes in a consonant range; 18th century musician J.S. Bach, on the other hand, studied the mathematical aspect of finding a practical way of tuning keyboard instruments. In the Western tradition, mathematics and music have been deeply linked for more than 2000 years. Music is a science that must have certain rules. Music theory as well as musical composition requires a certain abstract way of thinking and contemplation which are very close to mathematical pure thought. Mathematics and music are two phenomena encountered in almost every field. They are two indispensable facts of life. It offers a broad perspective from education to science and technology. For this reason, it is not unusual to encounter individuals who are interested in both subjects in today's world. The aim of this study is to provide an overview of this complex relationship between mathematics and music that encompasses different cultures and civilizations by making a wide literature review.
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