Top panel: Ratio σ_r/σ_{SMRI, R = Rin} in the (Pm, Λ_Z) plane of the SMRI for regimes with Pr = 10⁻³, Ek = 10⁻⁵, Ro = −0.5, (N/Ω)² = 10². The estimate σ_{SMRI, R = Rin} comes from the local model Eq. (11) evaluated at R = R_in and σ_r corresponds to the numerical values obtained with the global code. The green, red and blue dashed lines correspond to the criteria introduced in the local approach (Eq. (9)). Bottom panel: Ratio σ_r/σ_{AMRI, R = Rin} in the (Pm, Λ_ϕ) plane of the Azimuthal MRI for the same regime than top panel and considering the fastest mode among the set of azimuthal wavenumbers m ∈ [1, 2, 5, 7, 10] and σ_{AMRI, r = Rin} from Eq. (13). The blue and green dashed lines corresponds to the criteria for m = 1 (Eq. (9)). The dashed lines indicate the parameter region in which a given azimuthal mode number, m, yields the maximum growth rate.