![]() Note that whereas evaluating periodicity in the waveform requires examining every point, the autocorrelation makes periodicity more explicit – it is signified by high correlations at regularly spaced intervals. The correlation coefficient is always 1 at a lag of 0 ms, but because the waveform is periodic, correlations close to 1 are also found at integer multiples of the period (2.27, 4.55, 6.82, and 9.09 ms in this example). In this case the F0 is physically present, but the second, third, and fourth harmonics actually have higher amplitudes. Note the peaks at integer multiples of the F0, characteristic of a periodic sound. Note that the waveform repeats every 2.27 ms, which is the period. ![]() Waveform, spectrum, and autocorrelation function for a note (the A above middle C, with an F0 of 440 Hz) played on an oboeĪ) Excerpt of waveform. Timbre and rhythm, for instance, are less well linked to basic perceptual mechanisms, although these represent interesting areas for current and future research. Other dimensions are important as well, of course, but the links between basic science and music are strongest for pitch, mainly because something is known about how pitch is analyzed by the auditory system. Pitch is one of the main dimensions along which sound varies in a musical piece. We will focus primarily on the role of pitch in music. Music also provides a powerful stimulus with which to discover interesting auditory phenomena these may in turn reveal auditory mechanisms that would otherwise go unnoticed or underappreciated. Understanding the auditory processes that occur during music can help to reveal why music is the way it is, and perhaps even provide some clues as to its origins. We will review these along with some classic findings in this area. This topic is not a new one, but recent methods and findings have made important contributions. ![]() Our perception of music is thus influenced by how the auditory system encodes and retains acoustic information. Music involves the manipulation of sound. ![]()
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