Distinctions are levels of celestial "rank" granted to a Servitor by its Superior. The distinctions grant a measure of authority within that Superior's organization, and often a measure of respect outside it. The new rank also grants additional supernatural powers, similar to an Attunement.
Above the basic level of Servitor, angels can achieve the following, in ascending order:
Many Superiors also grant distinctions above Master, but angels of that high a level tend to spend most of their time in Heaven, and thus don't make the best PCs.
Note that the distinction is never just a bare rank; there is always an "ornamental" quality that identifies who granted it. For example, a high-ranking Dominican would be a Master of Law, whereas a high-ranking Laurencian is a Master of the Lord's Troops.
Demons can also be promoted above the rank of Servitor, in the following order:
Again, many Superiors grant distinctions above Baron (such as Count or Duke) to especially powerful followers who spend most of their time in Hell.