Almost an Insight

Does anyone understand the significance of the oil flowing down on Aaron's beard, referred to in Psalm 133? I got excited this week because I thought I found an insight on it in Leviticus.

I was reading along about sacrifices for atonement--the ones where they talk about putting the blood, then the oil, on the thumbs, toes, and earlobes. The extra oil was supposed to go on the head of the person being cleansed. Aha! I thought. Oil on the head; that sounds suspiciously like Psalm 133. Very cool. Perhaps Psalm 133 pictures the reconciliation of a sinner with his brothers, even more than being a psalm about people getting along. (I think that Dad used to have certain brothers of mine read it after a major altercation.)

Then I realized that the atonement was actually for a person being cleansed and restored to the congregation from leprosy! That lent deeper meaning to the idea of "Behold how good and how pleasant it is for brethren to dwell together in unity." (The margin actually reads, "for brethren to dwell together.") I do realize that Psalm 133 was a psalm of ascents, so it probably wasn't a song sung after a leper returned to the community. However, perhaps it echoed the feeling the people knew of being restored or having a loved one restored after separation.

However, the big catch is that the psalm refers to Aaron's beard, and Leviticus 14 isn't about anointing Aaron at all. So the whole leprosy idea was a nice one, but not exactly sound.

However, there must have been something in the people's minds when they sang about the oil on Aaron's beard. We tend to read it as generally signifying that there's anointing on unity, which is true, but what picture from Aaron's priestly role links the concept of oil to unity? Bible scholars?