Episodic mass loss randomizes the giant planets’ period ratios. Evolution of P_S/P_J, P_U/P_S, and P_N/P_U through the mass-loss epoch for the four decade-spaced ejection masses M_ej = 10⁻⁷, 10⁻⁶, 10⁻⁵, and 10⁻⁴ M_⊙ (color scale; twelve realizations each, all-phases variant), against the adiabatic track (black), which conserves all three ratios. Right margins: final-ratio distributions (48 realizations per M_ej); horizontal bars mark cell medians, count-bearing triangles tally seeds beyond the plotted range, and gray crosses count realizations whose ratio is undefined after an ejection leaves an orbit unbound. Gray bands: the 5:2 libration domain in panel A and the 2:1 domain in panel (C), mapped at the final stellar mass 0.54 M_⊙ at adiabatic eccentricities; dotted lines mark the commensurabilities. Across this range of M_ej the accumulated stellar kick speed ﹩{{ \mathcal D }}_{v}^{1/2}﹩ spans 0.018–0.58 km s⁻¹.