  We study the limiting behavior of Gaussian beta ensembles in the regime where
$\beta n = const$ as $n \to \infty$. The results are (1) Gaussian fluctuations
for linear statistics of the eigenvalues, and (2) Poisson convergence of the
bulk statistics. (2) is an alternative proof of the result by
F.~Benaych-Georges and S.~P\'ech\'e (2015) with the explicit form of the
intensity measure.
