EXTENDING THE GENERALIZED REED MODEL WITH MEASURED REFLECTION FUNCTIONS
Tamara Smyth, Jonathan S. Abel · 2007
In previous work, the authors presented a generalized parametric model of a pressure controlled valve, allowing the user to design a continuum of reed configurations, including “blown open”, “blown closed ” and the “swinging door”. Though the generalized reed model behaved as expected, the quality of the produced sound was somewhat limited, likely due to the dependence of reed oscillation on the connected instrument bore and bell. In this work we further explore the sound production of the generalized reed by incorporating reflection filters measured from actual musical instruments. The measurement technique is shown to produce results closely matching theoretical expectation for cylindrical and conical tubes, and is applied to the clarinet and trumpet. Measurements are incorporated into a waveguide model using the generalized reed. 1.