Add yeast and honey to warm water in a medium-size bowl; let stand until foamy, about 5 minutes.
Combine the flours and salt in a large mixing bowl. Make a well; pour yeast mixture into center and stir until dough can be gathered into a ball. Knead dough-floured board until smooth.
Place dough in a large, lightly oiled bowl and cover with a damp towel and place in a dry, draft-free place until dough has doubled, 1 to 2 hours.
Punch down dough; place on lightly floured board. Divide dough into 12 equal pieces. Shape into circles and place on nonstick baking sheets. Allow to rest, covered with damp towel for 30 minutes.
On lightly floured surface, roll out each piece of dough to a circle, about 5-inches in diameter. Place on baking sheets; let stand about 30 minutes.
Bake on middle rack of preheated 500 degrees oven for 5 minutes. Remove pitas from baking sheets and let cool on rack. Store in airtight container in refrigerator.
To serve, reheat wrapped in aluminum foil at 350 degrees for 10 minutes.
Nutrition Information Per Serving: 99 cal., 3 g pro., 0 g fat, 21 mg chol. Low-sodium diets: Omit salt.