Question: If you read musical notation, take a musical composition such as one of Bachs Brandenburg Concertos and write down a list of the frequency intervals
If you read musical notation, take a musical composition such as one of Bachs Brandenburg Concertos and write down a list of the frequency intervals x between successive notes. Then find a function that interpolates the power spectrum of these frequency intervals and determine if this function is of the form f(x) = c/x for some constant c. (Hint: To get the power spectrum, you will need to square the magnitude of the Fourier transform: take Abs[Fourier[]] 2 of your data.) Compute the power spectra of different types of music using this procedure.
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