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  • Essay / Similarities between music theory and Pythagoras

    Fascinatingly, arithmetic and geometry play an important role in musical composition. In 1201, an Italian mathematician named Leonardo Fibonacci introduced a mathematical theory that constructed infinite series of integers. The Fibonacci sequence begins with the number 1 followed by another 1 and each successive term is constructed by adding the two previous terms [4]. For example, the first ten numbers in the Fibonacci sequence are 1, 1, 2, 3, 5, 8, 13, 21, 34, and 55. Fibonacci ratios are a series of numbers produced when dividing a number of the Fibonacci sequence by the previous number. Table 1 shows the first seven terms of the Fibonacci ratios.TABLE I: Fibonacci ratios r(1) = 1/1 =