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In this paper, we impose a magic symmetry on the neutrino mass matrix$m_{\nu}$ with universal four-zero texture and diagonal reflection symmetries.Due to the magic symmetry, the MNS matrix has trimaximal mixing inevitably.Since the lepton sector has only six free parameters, physical observables ofleptons are all determined from the charged leptons masses $m_{ei}$, theneutrino mass differences $\Delta m_{i1}^{2}$, and the mixing angle$\theta_{23}$.  This scheme predicts $\sin \theta_{13} = 0.149$, that is almost equal to thelatest best fit, as a function of the lepton masses $m_{e, \mu}$ and the massdifferences $\Delta m_{i1}^{2}$. Moreover, even if the mass matrix hasperturbations that break the magic symmetry, the prediction of $\sin\theta_{13}$ is retained with good accuracy for the four-zero texture withdiagonal reflection symmetries.

Diagonal reflection symmetries, four-zero texture, and trimaximal mixing with predicted $\theta_{13}$ in an $A_{4}$ symmeric model