Don’t confuse it with the colon (see #3). Think of a semicolon as a supercomma, strong enough to hold independent clauses apart.
Use a semicolon
in lists that already contain commas,
The study included data from four cities: Houston, Texas; San Diego, California; Cleveland, Ohio; and Baltimore, Maryland.
between independent clauses not joined by a coordinating conjunction in a compound sentence,
The hours were terribly long; no one got much sleep.
between independent clauses in a compound sentence when the clauses are joined by a conjunctive adverb or a transitional phrase instead of by a coordinating conjunction.
No one got much sleep; however, it was a very valuable experience.
The company was owned by the employees; therefore, everyone was motivated to work hard.