  We present for the first time resummed predictions at NLO + NLL' accuracy for
the Durham jet-resolution scales $y_{n,n+1}$ in multijet production in $e^+e^-$
collisions. Results are obtained using an implementation of the well known
CAESAR formalism within the SHERPA framework. For the 4-, 5- and 6-jet
resolutions we discuss in particular the impact of subleading colour
contributions and compare to matrix-element plus parton-shower predictions from
SHERPA and VINCIA.
