  The $\beta$ decay of the isomeric and ground state of $^{50}$Sc to the
semi-magic nucleus $^{50}_{22}$Ti$_{28}$ has been studied using a $^{50}$Ca
beam delivered to the GRIFFIN $\gamma$-ray spectrometer at the TRIUMF-ISAC
facility. $\beta$-decay branching ratios are reported to 16 excited states with
a total of 38 $\gamma$-ray transitions linking them. These new data
significantly expands the information available over previous studies. Relative
intensities are measured to less than 0.001$\%$ that of the strongest
transition with the majority of $\gamma$-ray transitions observed here in
$\beta$ decay for the first time. The data are compared to shell-model
calculations utilizing both phenomenologically-derived interactions employed in
the ${\it pf}$ shell as well as a state-of-the-art, ${\it ab~initio}$ based
interaction built in the valence-space in-medium similarity renormalization
group framework.
