Though the Muses, when taken together, form a complete picture of the subjects proper to poetic art, the association of specific muses with specific art forms is a later innovation. The Muses were not assigned standardized divisions of poetry with which they are now identified until late Hellenistic times. The canonical nine Muses, with their fields of patronage, as established since the Renaissance, are:
Calliope (the 'beautiful of speech'): chief of the muses and muse of epic or heroic poetry
Clio (the 'glorious one'): muse of history
Erato (the 'amorous one'): muse of love or erotic poetry, lyrics, and marriage songs
Euterpe (the 'well-pleasing'): muse of music and lyric poetry
Melpomene (the 'chanting one'): muse of tragedy
Polyhymnia or Polymnia (the '[singer] of many hymns'): muse of sacred song, oratory, lyric, singing and rhetoric
Terpsichore (the '[one who] delights in dance'): muse of choral song and dance
Thalia (the 'blossoming one'): muse of comedy and bucolic poetry
Urania (the 'celestial one'): muse of astronomy
What happened to Sleepy, Doc, Dopey, Bashful, etc????