  The paper deals with singular Schr\"odinger operators of the form
\begin{gather*} -{\mathrm{d}^2\over \mathrm{d} x^2 } + \sum_{k\in\mathbb{Z}
}\gamma_k \delta(\cdot-z_k),\quad \gamma_k\in\mathbb{R}, \end{gather*} in
$\mathsf{L}^2(\ell_-,\ell_+)$, where $(\ell_-,\ell_+)$ is a bounded interval,
and $ \delta(\cdot-z_k)$ is the Dirac delta-function supported at $z_k\in
(\ell_-,\ell_+)$. It will be shown that the interaction strengths $\gamma_k$
and the points $z_k$ can be chosen in such a way that the essential spectrum
and a bounded part of the discrete spectrum of this self-adjoint operator
coincide with prescribed sets on a real line.
