Aw, come on, guys! We need to sell him on getting round collets in 1/64" increments, plus full sets of hex and square collets as well. Every style of emergency collet, too. 8^)
Reality check: I have a 13 pc. set of import collets by sixteenths, have only used about half of them. I also have a few NOS Lyndex collets in perfect condition in sizes 1/4, 3/8, 1/2, 5/8, and 3/4" that I got cheap in a couple tool lots and keep rat holed for high precision work and where I am not likely to trash them. I have only used the 1/2, 5/8, and 3/4" of those, and if you are careful with your tooling choices those three sizes plus a 1/4 and 3/8" are really about all you need...
However, I do have a bunch of older end mills in good to new condition and some of them have sixteenths shanks. Haven't needed to use them yet...