  We introduce an ensemble consisting of logarithmically repelling charge one
and charge two particles on the unit circle constrained so that the total
charge of all particles equals $N$, but the proportion of each species of
particle is allowed to vary according to a fugacity parameter. We identify the
proper scaling of the fugacity with $N$ so that the proportion of each particle
stays positive in the $N \rightarrow \infty$ limit. This ensemble forms a
Pfaffian point process on the unit circle, and we derive the scaling limits of
the matrix kernel(s) as a function of the interpolating parameter. This
provides a solvable interpolation between the circular unitary and symplectic
ensembles.
