A conexão da matemática com a música com foco histórico nos estudos de Pitágoras

Abstract

The present work has as its central aim to show the history of the relationship between mathematics and music, highlighting the importance of the study of Pythagoras and his monochord with the objective of making the theme known and interesting and its use in the classroom as a motivating importance for mathematical understanding among students, seeking a better personal identification between these two areas (mathematics and music). We know that the relationship between Mathematics and Music is old, and is lost in time. Today we can observe the teaching of mathematics in a mechanized way, where theory passes away from practice, making students not realize that mathematics is present in everyday situations, such as music for example. That's why we start from the historical context, more specifically the study of Pythagoras with his monochord until the development of the construction of musical scales. We show in this study the use of fractions, potentiation and logarithm operations that are taught in classrooms in a theoretical way and little in a practical way. Therefore, we are convinced that this way we are creating ways both for the development of practices in the classroom and also teaching a new way of listening to music knowing its numerical structure. For a better understanding of the subject, we expanded our research to talk about music theory with a focus on Pythagoras' studies, because through this theoretical knowledge we will be able to better relate this relationship between mathematics and music. In this work we also carried out experiments using a musical keyboard to show in practice the difference in musical frequencies when played on the same note resulting in different musical pitches (Bass/Treble). Through this practical experiment it was indeed possible to prove our calculations and consequently to show that there really is a relationship between music and mathematics.