classical ballet vs ballet

classical ballet and ballet both are nouns.

Word	Noun	Adjective	Verb	Adverb
classical ballet	Yes	No	No	No
ballet	Yes	No	No	No

As nouns, ballet is a hypernym of classical ballet; that is, ballet is a word with a broader meaning than classical ballet:

classical ballet: a style of ballet based on precise conventional steps performed with graceful and flowing movements
ballet: a theatrical representation of a story that is performed to music by trained dancers

Other hypernyms of classical ballet include concert dance.

classical ballet (noun)	ballet (noun)
a style of ballet based on precise conventional steps performed with graceful and flowing movements	a theatrical representation of a story that is performed to music by trained dancers
	music written for a ballet