But wild beasts of the desert shall lie there; and their houses shall be full of doleful creatures; and owls shall dwell there, and satyrs shall dance there (Isaiah 13:21, KJV).
The wild beasts of the desert shall also meet with the wild beasts of the island, and the satyr shall cry to his fellow; the screech owl also shall rest there, and find for herself a place of rest (34:14)
The only characteristics of Satyrs mentioned in Scripture is their ability to 'dance' (Isaiah 13:21) and cry out (34:14). Some Biblical commentaries, based on the use of saiyr in other parts of God's word, believe these two verses refer either to mythological beasts or to wild or shaggy goats. Some translations of Isaiah 13:21 do support the supposition that saiyr is better translated as a type of goat.
21 But desert creatures will lie there, jackals will fill her houses; there the owls will dwell, and there the WILD GOATS will leap about (NIV)
21 But desert creatures will lie down there, And their houses will be full of owls; Ostriches also will live there, and SHAGGY GOATS will frolic there (NASB)
In mythology, satyrs were half-human and half animal. They possessed the head of a man (with horns) and torso of a human but had the legs and feet of a goat.
Devils and the fall of Babylon
21 The wild animals of the desert will make it (ancient Babylon) their home. The houses will be haunted by howling creatures. Ostriches will live there, and THE DEMONS (saiyr) will come there to dance (Isaiah 13:21, TLB)
14 The wild animals of the desert will mingle there with wolves and hyenas. Their howls will fill the night. There the NIGHT-MONSTERS will scream at each other, and THE DEMONS will come there to rest (34:14, TLB)
God promised in Isaiah 13:20 - 22 to destroy the ancient city of Babylon to such an extent that not only would no human every live there again, it would become a place where only wild animals and demons (saiyr) reside. Isaiah 34:14 alludes to the time, in the near future, where 'Babylon' will again be judged and be fit for only beasts and demons.
In Revelation 18 an angel comes down from heaven to cry out to the entire earth "Babylon the great is fallen, is fallen, and is become THE HABITATION OF DEVILS, and the hold of every foul spirit, and a cage of every unclean and hateful bird" (Revelation 18:2, KJV).
John Gill's Exposition of the Entire Bible explains Revelation 18:2 as 'Babylon the Great' becoming "the habitation of devils; as old Babylon was of satyrs, Isaiah 13:21 demons, which appeared in a hairy form, like goats." Albert Barnes Notes on the Bible states that this verse in Revelation is "in allusion to the common opinion that the demons inhabited abandoned cities, old ruins, and deserts . . . The language here is taken from the description of Babylon in Isaiah 13:20 - 22."