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When sine waves interact

Given that simple musical tones are like sine waves what happens when two of these sine waves interact? Experiment with this simple applet. You can control the period of the top two sine waves by entering numbers in the boxes on the right: enter the number of periods to show. To view your results press the Display button. The third sine wave is the combination or sum of the first two. How do our ears perceive these patterns differently from our eyes?