The Science of Harmony: A Psychophysical Basis for Perceptual Tensions and Resolutions in Music
Subharmonic plot of the opening line of Beethoven’s Moonlight Sonata with period in milliseconds on the vertical axis and time in bars in the horizontal axis. Subharmonics are colored to match their corresponding notes on the music score. Names of relevant notes are marked out on the left, at values corresponding to their wave period. The region of each transition is numbered in white. Colored arrows follow voice leading along the notes across chord changes.
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