Delta Air Lines has neatly arranged the award travel offers of its SkyTeam members (AeroMexico, Alitalia, Air France Czech Airlines and Korean Air) in one new and easy to read online chart. Go to www.delta.com/images/skymiles/skymile_chart.pdf and see how much it will take you to go nearly anywhere.

But there’s more. Many of these award levels have been reduced significantly. For example, an Alitalia flight to India in Business Class used to be 185,000 miles — now, it’s 100,000 — about 45 percent less.