Dream Lucky: When FDR was in the White House, Count Basie was on the radio, and everyone wore a hat...

The time: 1936-1938. The mood: Hopeful. It wasn't wartime, not yet. The music: The incomparable Count Basie and Benny Goodman, among others. The setting: Living rooms across America and, most of all, New York City.

Dream Lucky covers politics, race, religion, arts, and sports, but the central focus is the period's soundtrack—specifically big band jazz—and the big-hearted piano player William "Count" Basie. His ascent is the narrative thread of the book—how he made it and what m…