Impedance Calculations for Oboe and Oboe-like Structures
George R. Plitnik, William J. Strong · The Journal of the Acoustical Society of America · 1972
A scheme has been developed for calculating the input impedance at the reed end of woodwind structures. The scheme is based on representing the bore and fingerholes of an instrument with lossy cylindrical sections. The log of the impedance is calculated and plotted at 10-Hz intervals over the range from 0 to 3000 Hz for each specified fingering of the instrument. Impedance curves have been calculated for the following oboe-like bores: (1) simple truncated cone, (2) smooth bores of one and five conical joints, (3) bores with discontinuities at the reed staple, (4) oboe with fingerholes and no losses, and (5) oboe with fingerholes and losses. Dr. Arthur Benade provided experimentally measured impedance curves for the oboe used as the basis of the calculations for case (5). The experimental and numerical results are compared and discussed.