I am curious which colored stone grading system is being used to give it a rating of AAAA ? Given the number of more generally accepted systems and the vast number of systems that sellers have created for themselves, it is quite difficult to know what an AAAA rating is. It would certainly be important to know this.
Also, when taking the stone to be graded will the gemologist be using the same system? As an example, the Tanzanite Foundation uses a more consumer friendly system where a grade of vBE would translate to violeteish Blue Exceptional. The same stone in the GIA rating system may be vB 6/4 which is violetish Blue, medium dark hue and moderately strong saturation. I’m more familiar with the GIA system and a vB 6/4 is a very nice stone.
As a note: IGS uses the GIA system in it’s price guide.
Best wishes and I would be pleased to know more which system is rating it as a AAAA stone.