Introduction

• How do these remarkable techniques affect the timbre?

• Appeal to the model equation^* \begin{align}\label{eq:wave} \frac{\partial^2 u}{\partial x^2} - \frac{EI}{T} \frac{\partial^4 u}{\partial x^4} - \frac{R(\omega)}{T} \frac{\partial u}{\partial t} - \frac{\rho}{T} \frac{\partial^2 u}{\partial t^2} = 0\,, \end{align} where \(u=\) transverse displacement, \(E =\) Young's modulus, \(I= \pi r^4/4\), \(T =\) tension, \(R=\) frequency-dependent loss, and \(\rho =\) mass/unit length.