We evaluate the stratification of acoustic oscillations in the solar photosphere in both the Lagrangian (comoving) frame of reference and the Eulerian (inertial) frame of reference, from a temporal sequence of model atmospheres in an optical depth scale obtained after a quasi-non-LTE inversion of the radiative transfer equation applied to spectral observations of the K I 7699 Å line. Our results suggest that, to first order, the photosphere moves up and down as a whole with amplitudes ranging from ~8 km in deep layers (around 0 km) to ~19 km in the upper layers (around 640 km). In Lagrangian coordinates, we observe numerous short-lived, local temperature and velocity amplitude enhancements in medium-high layers, together with asymmetric waveforms in the oscillation of these two physical quantities. The Lagrangian temperature oscillation clearly shows two nodes associated with sharp phase jumps of about 180°, whereas the velocity amplitude shows the well-known increase with geometrical height, at nearly constant phase. In Eulerian coordinates, the perturbations are dominated by the coherent oscillation of the entire photosphere.