Time-domain synthesis of conical bore instrument sounds

Model Approaches: The ``Cylindrical Saxophone''

Viewed another way, we have two cylindrical sections with a shunt inertance between them. If the inertance is implemented as a small "register hole", we have a model which is equivalent to Benade's "cylindrical saxophone" (Benade, 1988).

**Figure 11:** The ``cylindrical saxophone'' model.
$\begin{figure}\begin{center} \epsfig{file = figures/cylindrical.eps,width=4in} \end{center} \vspace{-0.2in} \end{figure}$

The impedance of an open-hole shunt inertance is given by:

$\begin{displaymath} Z(j\omega) = \frac{\rho t}{S_{h}} j \omega. \end{displaymath}$

where

is the effective height of the hole and $S_{h}$ is its cross-sectional area.