Even though the sampling loses information about the wave; from the sampled data, your computer’s digital-to-analog converter can perfectly reconstruct the port

Even though the sampling loses information about the wave; from the sampled data, your computer’s digital-to-analog converter can perfectly reconstruct the portion of the sound that contains all the frequencies up to half of the sampling frequency. This is the Nyquist Theorem. So we are O.K. Pedantic note: This is only true in a theoretical setting where you have infinitely precise samples. Since each sample has only so-and-so many bits, and calculations also are lossy, you cannot reconstruct the wave perfectly. But it's good enough. There are also formats with more bits per sample to increase quality.