Stored beams of polarized protons, electrons, or deuterons can be spin flipped by sweeping an rf dipole’s or solenoid’s frequency through an rf spin resonance. Fitting such data to the modified Froissart-Stora equation’s spin resonance strength E_{FS} gave very large deviations from the ^{*}E_{Bdl} obtained from each rf magnet’s ∫B_{rms}dl. We recently varied an rf dipole’s frequency sweep range Δf, and the momentum spread Δp/p and betatron tune ν_{y} of stored 1.85 GeV/c polarized deuterons. We found a sharp constructive interference when ν_{y} was near an intrinsic spin resonance. Moreover, over large Δf and Δp/p ranges, E_{FS} was about 7 times smaller than the predicted ^{*}E_{Bdl}.