Rye Pita?

I managed to make some kind of rye pita bread today. I've been experimenting with this yeast-free pizza base recipe over the last few days - making it into flatbread and cooking it like a pancake. Today I had the random idea to swap out the semolina and all purpose flours for cornmeal and rye flour. I also left out the baking powder. It mixed up well. I tried kneading it, but I don't know if rye has any gluten to work with the kneading. So I squashed it into a flat circle between 2 sheets of wax-paper and 2 chopping boards. It came out super flat, and super circly. Onto a pan it went and the pan went onto a super-hot cooker and the bread cooked away, until I turned it over, when suddenly it popped. It magically turned into pita bread - which I wasn't expecting at all. In surprise and delight I took it off the pan, tried a bit (acceptable but the dough needs some extra flavour), and proceeded to stuff it with cheese. Nom nom nom (this sentence translates to "I ate it, and it was good"). Now I just need to figure out something I can add to the dough to make it really yummy.