![]() These methods, derived from either acoustic (input impedance) or geometric (tonehole geometry) measurements, are used to determine the tonehole lattice cutoff frequency of conical resonators. Because the lattices of real instruments are acoustically irregular, different methods of analysis are developed. ![]() The study is then expanded to an acoustically irregular lattice: a saxophone resonator, of known input impedance and geometry. First, a definition of local cutoff of a conical tonehole lattice is derived and used to design “acoustically regular” resonators with determinate cutoff frequencies. Here, the tonehole lattice cutoff frequency of conical instruments such as the saxophone is studied analytically, using a generalization of the framework developed for cylindrical resonators. ![]() However, most analytic studies of the cutoff have focused on cylindrical instruments due to their relative geometric simplicity. The tonehole lattice cutoff frequency is a well-known feature of woodwind instruments.
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