We discuss the prospects of exploring the neutrino mass parameters with a CERN based Beta-beam experiment using two different detectors at two different baselines. The proposed set-up consists of a 50 kton iron calorimeter (ICAL) at a baseline of around 7150 km which is roughly the magic baseline, e.g., ICAL@INO, and a 50 kton Totally Active Scintillator Detector at a distance of 730 km, e.g., at Gran Sasso. We take 8B and 8Li source ions with a boost factor $γ$ of 650 for the magic baseline while for the closer detector we consider 18Ne and 6He ions with a range of Lorentz boosts. We find that the locations of the two detectors complement each other leading to an exceptional high sensitivity. With $γ=650$ for 8B/8Li and $γ=575$ for 18Ne/6He and total luminosity corresponding to $5× (1.1× 10^19)$ and $5× (2.9× 10^19)$ useful ion decays in neutrino and antineutrino modes respectively, we find that the two-detector set-up can probe maximal CP violation and establish the neutrino mass ordering if $\sin^22θ_13$ is $1.8 × 10^-5$ and $4.6 × 10^-5$, respectively, or more. The sensitivity reach for $\sin^22θ_13$ itself is $5.3 × 10^-5$. CP violation can be discovered for 64% of the possible $δ_CP$ values for $\sin^22θ_13 ≥ 8× 10^-5$.