  The present work continues a series of the KEDR measurements of the $R$ value
that started in 2010 at the VEPP-4M $e^+e^-$ collider. By combining new data
with our previous results in this energy range we measured the values of
$R_{\text{uds}}$ and $R$ at nine center-of-mass energies between 3.08 and 3.72
GeV. The total accuracy is about or better than $2.6\%$ at most of energy
points with a systematic uncertainty of about $1.9\%$. Together with the
previous precise $R$ measurement at KEDR in the energy range 1.84-3.05 GeV, it
constitutes the most detailed high-precision $R$ measurement near the
charmonium production threshold.
