  Excited states in the neutron-rich N=38,36 nuclei \nuc{60}{Ti} and
\nuc{58}{Ti} were populated in nucleon-removal reactions from \nuc{61}{V}
projectiles at 90~MeV/nucleon. The \gamma-ray transitions from such states in
these Ti isotopes were detected with the advanced \gamma-ray tracking array
GRETINA and were corrected event-by-event for large Doppler shifts (v/c \sim
0.4) using the \gamma-ray interaction points deduced from online signal
decomposition. The new data indicate that a steep decrease in quadrupole
collectivity occurs when moving from neutron-rich N=36,38 Fe and Cr toward the
Ti and Ca isotones. In fact, \nuc{58,60}{Ti} provide some of the most
neutron-rich benchmarks accessible today for calculations attempting to
determine the structure of the potentially doubly-magic nucleus \nuc{60}{Ca}.
