comedy ballet vs concert dance

comedy ballet and concert dance both are nouns.

Word	Noun	Adjective	Verb	Adverb
comedy ballet	Yes	No	No	No
concert dance	Yes	No	No	No

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

comedy ballet: a ballet that stresses the drama with features of comedy
concert dance: a theatrical representation of a story that is performed to music by trained dancers

Other hypernyms of comedy ballet include ballet.

comedy ballet (noun)	concert dance (noun)
a ballet that stresses the drama with features of comedy	a theatrical representation of a story that is performed to music by trained dancers