"I have been reading a lot about music cognition. Then, using that cognitive theories I built statistical/generative models in the hope of getting interesting feedback to the original theories"
After some time passed, I started to reach a resumed version of that two sentences into only one sentence: the one you see at the top of this blog.
It is still to long as a short way to describe this project: It doesn't fit in a title like the one you see in this post =).
So now you know what Cognitive Computational Music is.