#### Piano String Wave Equation

A wave equation suitable for modeling linearized piano strings is given by [77,45,317,517]where the partial derivative notation and are defined on page , and

*ideal rod*(or

*bar*), this term is dominant [317,261,169]. The final two terms provide

*damping*. The damping associated with is frequency-independent, while the damping due increases with frequency.

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Damping-Filter Design

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Feathering