  In this paper we study a parametrized description of neutrino mixing from a
phenomenological point of view. We concentrate on the parametrization in terms
of higher order corrections to the leading order mixing matrix. A method to
describe subleading contributions and its applications to tri-bimaximal mixing
are discussed. We show that mixing matrices similar to tri-bimaximal-Cabibbo
mixing can be obtained by straightforward choices of parameters. To achieve
better agreement with the experimental data without increasing the number of
free parameters, we impose a simple phenomenological relation from which a
trimaximal-like mixing matrix, parametrized by U_{e3} = sin\theta_{13} e^{-i
\varphi}, can be derived straightforwardly without imposing additional
requirements. It can describe the current global fit to three-neutrino mixing
with good accuracy. Its theoretical explanation and phenomenological
applications are discussed briefly.
