If I look at the recent core sets (Tenth Edition, Magic 2010, Magic 2011, Magic 2012, and Magic 2013) I find that there are 936 type-unique cards. Tenth Edition has many cards unique to that set, and each of the other sets (M10 to M13) also have cards unique to them, or that skip reprinting-for example, M10 then M12. Rarely the rarity changes and an Uncommon in Tenth becomes a Common. Tenth had 121 each of Common, Uncommon, and Rare.
Here are the artifacts: