Human unity and the bond between brothers share the same majestic holiness as the anointing of the High Priest, a sacred moment expressing abundance, honor, glory, and deep satisfaction [ביאור שטיינזלץ]. The primary approach among commentators is that this refers to the specific, spiced anointing oil used to sanctify the priests [רד״ק, אבן עזרא]. Poured generously upon the head, the oil flowed down to the beard resting on the collarbone, reaching all the way to the opening of the garments [רש״י, רד״ק, מצודת ציון, ביאור שטיינזלץ]. Aaron is specifically mentioned because he was the very first to be anointed with this sacred mixture [אבן עזרא, מצודת דוד]. Unlike King David, who was anointed in secret, Aaron’s anointing was a highly public event performed before the entire nation when the Tabernacle was established. This public display symbolizes the era when God's glory rested upon Israel and hints at the future revelation of the Divine Presence in the Temple [רד״ק].
The downward flow of the oil carries deep symbolic meaning. Just as oil naturally floats above all other liquids, it represents the elevated status of the priesthood, while simultaneously embodying smoothness and humility. True wisdom reaches its highest perfection when it is shared with others, much like the oil continuously dripping and flowing downward [מאירי]. Furthermore, when the nation stands united, Divine abundance descends first upon the leader at the head, and from there it naturally spreads to all parts of the nation connected to him [מצודת דוד]. Occasionally, this spiritual abundance descends upon an individual who is intellectually prepared to receive it, represented by the head. Yet, because the blessing is so vast, it overflows and nourishes even those who were not initially prepared, just as the oil spills over onto the beard and garments [מלבי״ם]. The flow of the oil over his garments also reflects his inner character, suggesting that Aaron embodied God's traits of mercy and was deeply compassionate like Him [חומת אנך].
On a deeper level, the anointing highlights the pure brotherhood between Moses and Aaron. As the oil was poured, two radiant drops hung from Aaron’s beard, shining like pearls. This beautiful sight served as a testament to God choosing Aaron for the High Priesthood. It also illustrated the complete unity between the two brothers, as Moses rejoiced entirely in his brother’s elevated status [אלשיך]. Yet, amidst this joyous occasion, both brothers were struck by a profound fear of Heaven. Moses worried that he might have applied too much of the sacred oil, thereby misusing something holy. Aaron feared he had unlawfully benefited from this sacred mixture. To ease their minds, a heavenly voice declared that the holy oil was like the natural dew falling upon Mount Hermon, which carries no risk of misuse. Their mutual concern and shared spiritual purity form the true foundation of how good and pleasant it is for brothers to dwell together in unity [תורה תמימה, רש״י].