Kalliope (or Calliope), the eldest and wisest, the muse of epic poetry, mother of Orpheus
Euterpe, the muse of music and lyric poetry. She loved flute playing, and some even say she invented the double flute. Euterpe had a son named Rhesus, who was killed in the battle at Troy, according to Homer's Iliad.
The word muse is also sometimes used for a person who inspires somebody else, or any other type of inspiring object. Muse can also be used to describe one's creative thoughts, such as poetry or a musical composition.