Abstract
Numerically calculated impedances for flute structures may be useful for exploring how changes in design parameters affect resonance frequencies. Any numerical method should be validated by comparing its results with experimental data. A successive impedance method was used to numerically calculate passive resonance frequencies from the dimensions of a Powell flute. Calculations were made for a given embouchure condition with different fingerings and for the middle and foot joints with different fingerings. The numerical results are compared to experimental results obtained for the same flute [John W. Coltman, J. Acoust. Soc. Am. 40, 99–107 (1966)]. The numerical results typically differ from the experimental data by a few cents, although some differ by as much as 20 cents. Similar comparisons are made for octave stretching with discrepancies of as much as 10 cents. [Work supported in part by Australian‐American Educational Foundation.]
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