Woodwind register holes are designed to discourage oscillations based on the fundamental air column mode and thus to indirectly force a vibratory regime based on higher, more stable resonance frequencies. A register vent functions both as an acoustic inertance and an acoustic resistance . It is ideally placed about one-third of the distance from the excitation mechanism of a cylindrical-bored instrument to its first open hole. Sound radiation from a register hole is negligible.
The DW implementation of a register hole can proceed in a manner similar to that for the tonehole. The series impedance terms associated with toneholes are insignificant for register holes and can be neglected. Modeling the open register hole as an acoustic inertance in series with a constant resistance, its input impedance as seen from the main bore is given by
As discussed by Benade [1, p. 459], a misplaced register hole will raise the frequency of the second air column mode by an amount proportional to its displacement from the ideal location (in either direction). Such behavior is well demonstrated when this register hole implementation is added to the real-time clarinet model. The instrument builder and computer programmer are thus faced with the same dilemma: how many register vents to create and where best to put them!