  In this short note, we reformulate the task of calculating the pair
correlation statistics of a Kronecker sequence as a lattice point counting
problem. This can be done analogously to the lattice based approach which was
used to (re-)prove the famous three gap property for Kronecker sequences. We
show that recently developed lattice point counting techniques can then be
applied to derive that a certain class of Kronecker sequences have $\beta$-pair
correlations for all $0 < \beta < 1$.
