Non-relativistic potential models are considered of the pure power V(r) = sgn(q) r ^q and logarithmic V(r) = ln (r) types. It is shown that, from the spectral viewpoint, these potentials are actually in a single family. The log spectra can be obtained from the power spectra by the limit q→0 taken in a smooth representation P_nℓ(q) for the eigenvalues E_nℓ(q). A simple approximation formula is developed which yields the first 30 eigenvalues with an error less than 0.04%.