Painstaking care is made in the design and voicing of the acoustic piano to strike the string at the 9th Harmonic where there is the *least* amount of generated harmonics.
If they wanted a rich spectrum of harmonics, the hammers would be very near the midpoint.
Much of what we call ‘harmonics’ is the resonance of the surrounding chamber, wood, iron, etc.
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No windings but they have still a rich spectrum with harmonics.