The dependence of the normal modes relaxation time, tau, on the scale of motion, Lambda, for a freely jointed polymer chain in the presence of an orienting field of dipole symmetry was obtained both analytically and by the method of Brownian dynamics. Comparison with the results for the case of a quadrupole field obtained earlier shows that the field symmetry influences mainly the prefactor in the dependence tau(Lambda) reflecting the mobility of single chain element in the field.