mishḥah

This word names the anointing that consecrates. In Israel's worship, applying a specially blended oil was how the sacred tent, its furnishings, and above all the priests were formally set apart for holy service. The word points both to that oil and to the rite it performed.

The two shades hold together because the oil has no meaning apart from the act. Its recipe was fixed by command, the oil itself was called holy, and using it for any ordinary purpose was forbidden. So when Scripture speaks of "the oil of anointing," it is naming the single instrument of a single sacred moment, not a household product.

A few times the word steps back from the oil to name the anointing itself as a lasting institution, as when the ordination of Aaron and his sons is called an everlasting priesthood secured by "their anointing." There it is the act, not the substance, that confers the permanent office.

In two places the word shifts from the anointing to what the anointing grants. Because Aaron and his sons were anointed into priestly office, a fixed share of Israel's offerings became theirs by right. The same word that names their consecration comes to name the living they draw from it.

This is why some translations read "portion" or "share" here where others keep "anointing." The two are not far apart: the portion exists precisely because of the anointing, so calling it "the anointing of Aaron" is a natural shorthand for the standing allowance that his anointing secured.