Old Rye (Danish: Gammel Rye) is a small town in eastern Jutland, Denmark, with a population of 1,335 (1 January 2014).Rye was a very important market town in medieval Denmark. In 1534 AD, St. Søren's Church in Rye was the setting of the Election of Christian III as king of Denmark. Today, the town has been outgrown by the new town of Ry which, like so many other towns in Denmark, sprouted up around a railway station.