Quantitative evaluation of the curvature induced mistuning in long wind instruments
Résumé
The present work attempts to quantify, both theoretically and experimentally, the effect of the curvature of the air column of wind instruments on their acoustical properties. The curvature-induced mistuning, that is, the change in resonance frequencies compared with a straight tube having the same axis length, is characterized as a length correction, that can be deduced from a direct calculation of the resonance frequencies, or from the input impedance. This length correction exhibit a strong frequency dependence, denoting a complex inharmonicity, that can be, in some cases, musically significant. Details are given on the inharmonicity as a function of the curvature of the waveguide axis, and quantitative results are given on various example of bent portions of real wind instruments.
Domaines
Acoustique [physics.class-ph]
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