From Longman Dictionary of Contemporary Englishbig bandˈbig band noun [countable] a large musical band, especially popular in the 1940s and 1950s, that plays jazz or dance music and has a leader who plays solos Tommy Dorsey’s big band —big-band adjective
Examples from the Corpus
big band• The evening will include a Bucks Fizz welcome, dinner, live big band, disco and cabaret.• So big band parade's like this will no longer be possible. 