On the basis of the classical Heisenberg model, a phenomenological theory is presented in order to investigate the dynamical behavior of a linear magnetic chain. At low temperatures compared to the exchange constant J (kBT≪J), the short wavelength component of magnetization is shown to exhibit an oscillatory behavior, although the usual spin wave theory is not applicable. The present method becomes useful when the short range order in the system is highly developed and the sum rule concerning the length of the individual spin becomes important. No use is made of the properties inherent in a one-dimensional system except for the assumption that it remains paramagnetic even in the low temperature limit. Therefore, our theory may qualitatively apply even to three-dimensional systems such that their transition points are considerably lower than Jz/kB (z: the number of nearest neighbor spins), owing e. g. to their peculiar lattice structures. For this reason, the results obtained by the present theory imply the possible existence of the so-called “sloppy spin wave”.