Bing Crosby, Nat King Cole, and Mel Tormé are three great masters of the canon known as the Great American Songbook. Their velvety voices and mastery of sentimental serenades made them quintessential 20th century crooners. Music director Bryan Carter and his 22-piece ensemble that features vocalists Denzal Sinclaire, Benny Benack III, and Charles Turner pay tribute to these song geniuses. Jazz at Lincoln Center’s Appel Room, Time Warner Center, 10 Columbus Circle, Broadway at 60th St. May 20-21, 7 & 9:30 p.m. Tickets are $70.50-$90.50 at jazz.org.