  We present a calculation of non-global logs at finite $\mathrm{N_c}$ for the
hemisphere mass distribution in $e^+e^-\to 2$ jets at single log accuracy up to
fifth order in the strong coupling constant. Our results suggest a possible
all-orders resummation of these large logs into an exponential. Comparing our
results to those at large $\mathrm{N_c}$, recently reported in literature, we
find an agreement. We additionally compare our findings with the numerical
all-orders resummation at large $\mathrm{N_c}$ and discuss the significance of
neglected finite-$\mathrm{N_c}$ corrections on the said distribution.
