A model of high scale inflation is presented where the radial part of the Peccei-Quinn (PQ) field with a non-minimal coupling to gravity plays the role of the inflaton, and the QCD axion is the dark matter. A quantum fluctuation of O(H/2π) in the axion field will result in a smaller angular fluctuation if the PQ field is sitting at a larger radius during inflation than in the vacuum. This changes the effective axion decay constant, fa, during inflation and dramatically reduces the production of isocurvature modes. This mechanism opens up a new window in parameter space where an axion decay constant in the range 1012  GeV≲fa≲1015  GeV is compatible with observably large r. The exact range allowed for fa depends on the efficiency of reheating. This model also predicts a minimum possible value of r=10-3. The new window can be explored by a measurement of r possible with SPIDER and the proposed CASPEr experiment search for high fa axions.