big band vs dance band

big band and dance band both are nouns.

Word	Noun	Adjective	Verb	Adverb
big band	Yes	No	No	No
dance band	Yes	No	No	No

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

big band: a large dance or jazz band usually featuring improvised solos by lead musicians
dance band: a group of musicians playing popular music for dancing

Other hypernyms of big band include band, dance orchestra.

big band (noun)	dance band (noun)
a large dance or jazz band usually featuring improvised solos by lead musicians	a group of musicians playing popular music for dancing