  An understanding of the physics of half or quarter filled lowest Landau level
has been achieved in terms of a Fermi sea of composite fermions, but the nature
of the state at other even-denominator fractions has remained unclear. We
investigate in this work Landau level fillings of the form $\nu=(2n+1)/(4n+4)$,
which correspond to composite fermion fillings $\nu^*=n+1/2$. By considering
various plausible candidate states, we rule out the composite-fermion Fermi sea
and paired composite-fermion state at these filling factors, and predict that
the system phase separates into stripes of $n$ and $n+1$ filled Landau levels
of composite fermions.
