Mingus Big Band (through Monday) A 2011 Grammy winner for “Live at Jazz Standard,” this repertory band has held a Monday-night residency here for years. It also plays this weekend, filling in for a last-minute cancellation — and building as always on the rugged sophistication of Charles Mingus’s music, which still has the capacity to sound radical. At 7:30 and 9:30 p.m., Jazz Standard, 116 East 27th Street, Manhattan, 212-576-2232, jazzstandard.net; $25 and $30. (Chinen)