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guitar oscillations? How do they look?

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So I recently came across this video in youtube: http://www.youtube.com/watch?v=TKF6nFzpHBU. The vibrations of the string definitely look like sinusoidal waves to me and I know that if a string is fixed at both ends then it will display the pattern of nodes and antinodes by producing a standing wave at certain frequencies. Is this how the guitar strings vibrate if you played the right harmonics?

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