by Derek Jewell. Norton, $9.95. As jazz critic of the London Sunday Times, Mr. Jewell has admired Ellington’s music for thirty years, interviewed him on his English tours, talked with his bandsmen, friends, and family. All that information has now been collected in what the author calls “a portrait of Duke Ellington,”possibly because Mr. Jewell avoids Freudian dredgings. He gives the main facts, including a great deal of information about the music and the players. There are plenty of anecdotes—touching, funny, sometimes infuriating—but almost all are variations on Ellington’s public style of courtly detachment and delicate irony, which seems to have been his private style as well. A man not easy to know, and also a genius, a nonesuch, as inexplicable as a miracle. Mr. Jewell has better sense than to try to account for Ellington, because he knows he cannot. He can make you cry, though, if you loved the Duke madly. Illustrations, list of recordings.