We expound in detail the physics reaches of an experimental set-up in which the proposed large magnetized iron detector at the India-based Neutrino Observatory (INO) would serve as the far detector for a so-called beta-beam. If this pure νe and/or over(ν, ̄)e beam is shot from some source location like CERN such that the source-detector distance L ≃ 7500 km, the impact of the CP phase δCP on the oscillation probability and associated parameter correlation and degeneracies are almost negligible. This "magical" beta-beam experiment would have unprecedented sensitivity to the neutrino mass hierarchy and θ13, two of the missing ingredients needed for our understanding of the neutrino sector. With Lorentz boost γ = 650 and irrespective of the true value of δCP, the neutrino mass hierarchy could be determined at 3σ C.L. if sin2 2 θ13 (true) > 5.6 × 10-4 and we can expect an unambiguous signal for θ13 at 3σ C.L. if sin2 2 θ13 (true) > 5.1 × 10-4 independent of the true neutrino mass hierarchy. © 2008 Elsevier B.V. All rights reserved.