Double-differential (n,xp) and (n,x) cross-section ratio measurements are performed at the 7-MV Van de Graaff accelerator laboratory for neutron energies between 2.0 and 15.6 MeV. The following reaction rate ratios are measured: 58Ni(n,x) to 27Al(n,), 58Ni(n,x) to 58Ni(n,p), 63Cu(n,xp) to 27Al(n,), and 63Cu(n,xp) to 58Ni(n,p). Protons or alphas are detected by E-E-E telescopes under 14, 51, 79, 109, and 141 deg. The energy spectrum of the emitted particles and the angular yield distribution are measured. First, the measurements provide double-differential cross-section data for 27Al(n,) and 58Ni(n,p) by normalization to the known total yield reference cross-section values. Subsequently, the reaction rate ratios of 58Ni(n,x) and 63Cu(n,xp) to 27Al(n,) or 58Ni(n,p) provide double-differential cross sections of 58Ni(n,x) and 63Cu(n,xp) in b/(MeVsr). The measured double-differential cross-section data, the particle energy spectra, the angular distributions, and the total yield cross-section data are compared with measured data from literature and with nuclear reaction model calculations performed at the Institute for Reference Materials and Measurements with the computer codes STAPRE-H and EXIFON.