In this paper, we consider an open tube of diameter $\epsilon>0$, on the sideof which a small hole of size $\epsilon^2$ is pierced. The resonances of thistube correspond to the eigenvalues of the Laplacian operator with homogeneousNeumann condition on the inner surface of the tube and Dirichlet one the openparts of the tube. We show that this spectrum converges when $\epsilon$ goes to0 to the spectrum of an explicit one-dimensional operator. At a first order ofapproximation, the limit spectrum describes the note produced by a flute, forwhich one of its holes is open.
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