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See https://phys.libretexts.org/Bookshelves/Waves_and_Acoustics/...

Touching the string at different points will excite different vibrational modes. Notably if you pluck in the exact center you activate none of the even-numbered nodes, if you pluck around the 1/3 point that's optimal for activating the second harmonic, etc. You can never not activate the fundamental mode touching it in one spot but you activate it less if you get close to the edge.



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