![]() ![]() The bar could include a whole variety of different musical values that add up to three crotchets (one-beat notes), and here again, the mathematics comes into play. In the case of 3/4, then each bar has three crotchet beats in it as a maximum value. These two figures tell the performer how each bar of a piece of music is divided. If we consider traditional musical notation, the first thing we observe next to the clef is the ‘time-signature’ (see fig.1) In a less complex fashion, we can also find a connection between the two subjects in terms of rhythmic division. His work, in turn, was then further discussed and developed by Plato in his work “The Composition of the Soul”. For example, if the length of two strings is in the ration of 2:3 the difference in the produced pitch or tone is that of a fifth (eg: D – A). ![]() It was Pythagoras who discovered the relationship between the changes in the tone of vibrating strings and how they are divided. The notable Greek Mathematician and Philosopher Pythagoras made some of the earliest recorded connections between mathematics and music. Fortunately for me, my mathematics is not too shabby but is this evidence enough to make a firm link between these two different disciplines? The connection between mathematics and music is not a new one and in this article, I am going to explore this fascinating idea a little further. Throughout my career as a teacher of music, it has often been assumed by colleagues that my mathematical ability would be similar to my musical abilities. ![]()
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