What are the Elvish languages?
Tolkien invented several languages which he says were spoken by the Elves, within his fictional world. He also invented special languages to be spoken by the Dwarves, by Hobbits and by various other people. When we say “Elvish languages” or “Elvish linguistics” we usually include the languages of these other folks, too. There is a complete List of Tolkien’s Invented Languages here.