The word Balearic in its most most simple terms means "of or having to do with the Balearic Islands" which are a group of small islands in the Western Mediterranean near the coast of Spain.
More specifically however, the term Balearic (or "Balearic
Beat") has come to mean a genre of music which became
popular on the islands of the same name, specifically the Balearic Island of Ibiza.
The Balearic genre is broad and almost means "eclectic" more than any specific style of sound. Generally, it tends towards
sunny, melodic, "feel-good" electronic music, as it's birthplace was on the warm
sunny beaches of the islands. This may encompass atmospheric house, downtempo, chillout, nu-disco, latin,soul,
dub, and re-edits.
As mentioned before, the genre is about being eclectic, so a Balearic
Beat DJ will often flow through many different sounds inside a single set. In fact, "Balearic" might be better thought of as a style of
DJ'ing rather than a style of music. Still, the flavor always comes back to that
sunny island feel and often incorporates smooth soul sounds, acoustic strings and guitar, dreamy vocals, and tempos under 120 BPM.