Fibonacci Series and Strad
The Fibonaccie Series - the "golden" series is ascribed to have regulated the whole exterior shape of the violin prior to the use of molds. For generations, violins created by the master luthier Stradivarius are known for their tone quality and their aesthetic form. Below left is a design of a scroll with the elegant curve of the series. The Golden Ratio \phi = \frac{1+\sqrt{5}}{2} = 1.61803 can be found throughout the violin by dividing lengths of specific parts of the violin:
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