Given the pitch is the same the larger the prop THE LOWER THE RPMS.
If you took the time to read the beginning of the post this was obvious because the thread starter stated he understood the pitch. I re-wrote it down below for you.
I was wondering about prop diameter vs pitch, specifically whar is the difference between a 10X7 and a 11X6 I know that the larger the pitch the more thrust and lowers RPM but what advantages does a larger diameter prop have??