Using two cold-neutron triple-axis spectrometers we have succeeded in fully mapping out the field-dependent evolution of the non-reciprocal magnon dispersion relations in all magnetic phases of MnSi. The non-reciprocal nature of the dispersion manifests itself in a full asymmetry (non-reciprocity) of the dynamical structure factor Sq,E,μ0Hint with respect to flipping either the direction of the applied magnetic field μ₀H_int, the reduced momentum transfer q, or the energy transfer E.