Abstract <p>In the lack of empirical data in the study area, the level of parameters of seismic oscillations—accelerations, velocities, displacements, etc.—is specified either using the instrumental part of seismic intensity scales or by recalculating intensity estimates into e oscillation parameter values of interest using correlation relationships. Both the seismic intensity values and the values of seismic ground motion parameters are continuous quantities. Because in practice intensity ratings are rounded to integer values, the intensity and parameters of seismic oscillations are considered discrete quantities. As a result, the quantitative characteristics of seismic oscillations at the boundary of neighboring points have a jump in the calculated seismic ground motion parameters. Consequently, each integer point in reality corresponds not to a single value of the oscillation parameter, but to a certain interval of values. In this article, based on an analysis of empirical data, ranges of values of seismic oscillation parameters are established: peak ground accelerations, velocities, and displacements corresponding to both integer and fractional (rounded to half a point) seismic intensity values, with respect to the seismic intensity scale GOST R 57546-2017. The problem of determining the ranges of predominant periods and duration of seismic oscillations is also considered. The problem of increasing the accuracy of seismic treatment assessment is discussed.</p>