Fauns and satyrs are two varieties of a very similar being of the fae realm - a human torso, goat's lower body, and a pair of goat's horns are the shared features of both spirits. 

The faun are typically more innocent, if they even speak at all, and are considered the wiser of the species. They typically share a strong connection to the woods. 

Satyrs are widely known to pursue more pleasurable activities and leisure, and are often more free-spirited than their counterparts.