The Big 6 Brass Band took off flying when the group was formed in 2017. It jumped into the arena by immediately putting out a mixtape of cover tunes, dropping in 2019 its solid debut album filled with spot-on originals simply dubbed Big Six, followed by a video, Shoo Fly, and then appearing in a commercial that introduced Super Bowl LIV.

“We felt that time was against us,” said trombonist and bandleader La...