If it only gets a couple of inches high, it might be annual bluegrass (Poa annua). That, of course, is not what you seeded but is a common weed seed. It is not Kentucky bluegrass because Kentucky bluegrass is rhizomatous and will not stay in clumps but will spread (annual blue is a bunchgrass and does not spread by rhizomes or stolons). Though tall fescue is a bunch grass, it has rather wide blades and so doesn't fit your description of having very narrow blades. To be sure it isn't tall fescue, run the edge of a leaf across your finger. Tall fescue is very rough. It could be perennial rye (it is a bunch grass) but it normally gets much taller than a couple of inches. One identifying characteristic is to pull up a plant and look at the base near the crown. Perennial rye should have a reddish tinge near the base which is not shared with either Kentucky bluegrass or annual bluegrass. Rye also has a very shiny underside to the leaf blade.
I just looked at your post again and noticed you said the mix contained fescue rather than tall fescue. There are some fescue species that have very fine blades (not like tall fescue) such as hard fescue, Chewings fescue and Sheeps fescue that are bunch grasses that could be the grass in question. However, they also tend to get much higher than a couple of inches. You can distinguish them from annual blue in that annual blue has a boat-shaped tip to the leaf blade (kind of like a canoe) and none of the fescues do. My money is still on annual blue.