The occupancies and vacancies of the valence neutron orbitals across the stable tin isotopic chain from 112≤A≤124 have been determined. These were inferred from the cross sections of neutron-adding and -removing reactions. In each case, the reactions were chosen to have good angular-momentum matching for transfer to the low- and high-ℓ orbitals present in this valence space. These new data are compared to older systematic studies. The effective single-neutron energies are determined by combining information from energy centroids determined from the adding and removing reactions. Two of the five orbitals are nearly degenerate, below N=64, and approximately 2 MeV more bound than the other three, which are also degenerate.