Nadine Jansen, a flugelhornist and pianist, remembers a night in the 1940s when a man came out of the audience as she was playing both instruments. "I hate to see a woman do that," he explained as he hit the end of her horn, nearly chipping her tooth. Half a century later, a big band named Diva made its debut in New York on March 30, 1993, with Melissa Slocum on bass, Sue Terry on alto sax, Lolly Bienenfeld on trombone, Sherrie Maricle on drums, and...