Pearl quality should not vary noticeably within a strand. Consistency is very important and takes years for pearl graders to master. Noticeable inconsistency in a strand is not acceptable, unless dealing with exceptionally rare or large pearls.
Hi, Naria -
The short answer is that there is no universally agreed-upon objective grading system for pearls. In fact, only diamonds have such systems.
A/AA/AAA grading is specific to an individual brand and has no exact carry-over. One person's AAA could be another's B and someone else's #7.