jig vs dance music

jig and dance music both are nouns.

Word	Noun	Adjective	Verb	Adverb
jig	Yes	No	Yes	No
dance music	Yes	No	No	No

As nouns, dance music is a hypernym of jig; that is, dance music is a word with a broader meaning than jig:

jig (noun)	dance music (noun)
any of various old rustic dances involving kicking and leaping	music to dance to
a device that holds a piece of machine work and guides the tools operating on it	a genre of popular music composed for ballroom dancing
a fisherman's lure with one or more hooks that is jerked up and down in the water
music in three-four time for dancing a jig

jig (verb)	dance music (verb)
dance a quick dance with leaping and kicking motions