Big band music of the 1920s, 1930s, and 1940s by these two venerable classic jazz ensembles. The Glenn Miller Orchestra, founded in 1938 by the late composer-clarinetist Miller, has been touring continuously since 1956. Its repertoire includes Miller’s hits “In the Mood,” “Chattanooga Choo Choo,” “Pennsylvania 6-5000,” and “Moonlight Serenade.” The Tommy Dorsey Orchestra, known as a stellar dance band, produced such hits as “I’m Getting Sentimental Over You,” “On the Sunny Side of the Street,” and “Boogie Woogie.” 7 p.m., Michigan Theater. Tickets $68–$89 in advance at marquee-arts.org/calendar. (734) 668–8397.