Hebrews 7:11-14

So, if perfection [i.e., a right relationship with God] could have been attained through the Levitical priesthood, (for under it people had received the law of Moses), what further need would there have been for another priest to arise, according to the order of Melchizedek, who was not considered "according to the order of Aaron"?

Treasury of Scripture Knowledge

Summary

But Aaron and his sons offered upon the altar of the burnt offering, and on the altar of incense, and were appointed for all the work of the place most holy, and to make an atonement for Israel, according to all that Moses the servant of God had commanded.

Aaron

Bible References

Aaron

Hebrews 7:11
So, if perfection [i.e., a right relationship with God] could have been attained through the Levitical priesthood, (for under it people had received the law of Moses), what further need would there have been for another priest to arise, according to the order of Melchizedek, who was not considered "according to the order of Aaron"?