Neutrino oscillations reveal several small parameters, namely, , the solar mass splitting {\em vis-`{a}-vis} the atmospheric one, and the deviation of from maximal mixing. Can these small quantities all be traced to a single source and, if so, how could that be tested? Here a see-saw model for neutrino masses is presented wherein a dominant term generates the atmospheric mass splitting with maximal mixing in this sector, keeping and zero solar splitting. A Type-I see-saw perturbative contribution results in non-zero values of , $\Delta m^2_{solar}\theta_{12}\theta_{23}\pi/4$ in consistency with the data while interrelating them all. CP-violation is a natural consequence and is large () for inverted mass ordering. The model will be tested as precision on the neutrino parameters is sharpened.

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