Each of the greek muses had a specific talent in the arts. which muse is not correctly

Is not correctly what?

The "Arts of the Muses" were; Music, Science, Philosophy, Mathematics, Geography, Drama and especially Art

Calliope (Kalliope), meaning "beautiful-voiced", was the Muse of Epic Poetry

Clio (Kleio), meaning "to make famous" or "celebrate", was the Muse of History

Erato, meaning the "lovely" or "beloved", was the Muse of Lyric Poetry

Euterpe, meaning "the giver of much delight", was the Muse of Music who entertained the Gods on Mount Olympus

Melpomene, the meaning is a derivative of "to celebrate with dance and song", was initially the Muse of Singing but later became the Muse of Tragedy

Polyhymnia, the meaning is a derivative of "praise" or "hymn", was the Muse of Sacred Poetry, Sacred Hymn and Eloquence

Terpsichore (Terpsikhore), the meaning is a derivative of "delight in dancing", was the Muse of Dance and the Dramatic Chorus

Thalia, the meaning is a derivative of "rich festivity" and "blooming", is the Muse of Comedy and Idyllic Poetry.

Urania (Ourania), meaning "heavenly" or "of heaven", is the Muse of Astronomy and Astronomical Writings