Abstract
The adjustment of woodwind air columns for proper tuning and intermode cooperation requires knowledge of the fractional mode frequency shifts (Δf/f)n produced by air column cross‐section perturbations Sp(x), as represented by the formula (Δf/f)n = −∫0LWnSpdx. In the conical woodwinds direct measurement of the weight function Wn(x) via a movable perturbing volume is not practicable. Instead, closely spaced probe microphone measurements of the modal pressure wavefunctions permit calculation via Wn = [pn2 − (∂pn/∂x)2(1/kn)2]⧸ ∫ 0L S0(x)[pn2] + (∂pn/∂x)2(1/kn)2]dx. We have measured the set of Wn's of several representative fingerings on the Triebert system 6A (conservatory), system 3, and Vienna Academy system oboes, and on the German system bassoon. Effects of nonuniform taper, tone holes, etc. are in agreement with theoretical expectation. Overall the patterns of inter‐instrument similarity and of departure from simple‐cone behavior are quite parallel to what we reported earlier for the clarinet family. [Wo...
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