Difference 1: Satyrs are more helpful

For those who have read the Heroes of Olympus series, Don[in Son of Neptune(Camp Jupiter-Roman Camp)] was always begging,especially for money from Hazel, but satyrs at Camp Half-Blood(Greek Camp)[Percy Jackson series] are sent on missions to recruit Half Bloods, go out and search[usually for Pan], and so on, which brings me to my 2nd difference

Difference 2: Satyrs are crucial

As mentioned in above, since satyrs help in recruitment and other stuff, they can’t be dne without, even though thy are SOMETIMES annoying. Fauns, on the other hand, are basically useless, only serving as beggars in Camp Jupiter. Although, they did, at a point serve as nurses at Camp Jupiter, they are basically useless.

Over to ancient myths

Difference 3: Satyrs were more horselike

In the earliest mentions of satyrs, they are described as being very similar to what we now think of as the fantasy race of dwarves. The first mention of them comes in Hesiod’s works, where he simply describes them as a race that’s good for nothing practical; this sets the tone for them always being associated with Dionysus, the god of wine, fertility, and primal aspects of nature. When they are first described in detail, they have bristly hair, a stout build, pointed ears, and little horns. They are also said to have tails, specifically the tail of a horse. In fact, it’s very common for early satyrs to be depicted with horse-like or ass-like features as opposed to the goat-like appearance typical of a faun. The descriptions of the faun give them the feet, tails, beards, and ears of goats, with bigger horns than satyrs traditionally have. Sometimes fauns have the whole head of a goat, (occasionally they also have a completely human head, with the addition of horns) and they are more closely associated with the god Pan. Pan was the god of the rural wilderness and mountains, and was the patron god of shepherds and their flocks.

Difference 4: Satyrs and fauns had different heritage

Satyrs were followers of Dionysius, and were mini-gods, with immortal souls. Fauns were likely so, but they were originally children of Pan

This concludes my work, but I hope you make sense from it

This is checkm32, signing out for now

Edit:

For those wsho want a clearer picture, here are links to the Percy Jackson and Heroes of Olympus series by Rick Riordan[pdf format and downloadable]

Percy Jackson series:

1. Lighting Thief- https://drive.google.com/file/d/0B7hcHQF8VFQXeXZWNFhVTjBiZ2M/view

2. Sea of Monsters- https://drive.google.com/file/d/0B7hcHQF8VFQXRFBMUXNkOThZcDg/view

3. Titan’s Curse- https://drive.google.com/file/d/0B7hcHQF8VFQXNUNzbjBiRXNyRlU/view

4. Battle of the Labyrinth- https://drive.google.com/file/d/0B7hcHQF8VFQXNjRPdTJubDR3NjA/view

5. Last Olympian- https://drive.google.com/file/d/0B7hcHQF8VFQXYnlCSVlQSm43ek0/view