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We introduce a small correction term, \delta M_\nu, in the neutrino sector and examine whether a large \theta_13 and an almost maximal \theta_23 can simultaneously be obtained starting from the tri-bimaximal neutrino mixing. It is found that one can easily gain \theta_13 \simeq 10^\circ, which is favored by the recent T2K experiment, by taking account of the enhancement due to the degeneracy among three neutrino masses. We also find that (\delta M_\nu)22=(\delta M\nu)_33 is a key condition for \theta_23 \simeq 45^\circ.

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