  We study three-atom inelastic scattering in ultracold \textsuperscript{39}K
near a Feshbach resonance of intermediate coupling strength. The non-universal
character of such resonance leads to an abnormally large Efimov absolute length
scale and a relatively small effective range $r_e$, allowing the features of
the \textsuperscript{39}K Efimov spectrum to be better isolated from the
short-range physics. Meticulous characterization of and correction for finite
temperature effects ensure high accuracy on the measurements of these features
at large-magnitude scattering lengths. For a single Feshbach resonance, we
unambiguously locate four distinct features in the Efimov structure. Three of
these features form ratios that obey the Efimov universal scaling to within
10\%, while the fourth feature, occurring at a value of scattering length
closest to $r_e$, instead deviates from the universal value.
