It is home of the Chicago Symphony Orchestra and the Chicago Sinfonietta . The Symphony Center includes Orchestra Hall , which dates from 1904 ; Buntrock Hall , a rehearsal and performance space ; a public multi-story rotunda ; Rhapsody restaurant ; and administrative offices . Home to the Chicago Symphony Orchestra and the Chicago Sinfonietta , Symphony Center includes Orchestra Hall , which dates from 1904 ; Buntrock Hall , a rehearsal and performance space ; a public multi-story rotunda ; Rhapsody restaurant ; and administrative offices .