"21's" have probably been around since the 50's and Vince Gironda (spelled wrong?), with his training idea's used them (Vince G.was also one of the first to use the low carb diet for BB'ers). They have also been called "7's". Any one can use higher reps but 7 reps seems to work the best, why they do is beyond me. I and some people I've known have used them with good results for short periods of time. They are not a finishing exercise but used as a main and only bicep exercise in a workout. Very intense when done correctly. Usually, at most, one or two cycles are used in a bicep workout. But the full 7 reps have to be used in each phase of this exercise, so judging the weight used on the bar may take a little time. One other version is doing the complete range of motion first, than the top to half way down and last the partial from the bottom to the half way position. What ever gets you there and gives you results, I guess. This exercise seems to work best with a BB or EZ bar.
There's another partial rep style combined with full ROM that gives good results. It's the old one & one half system. Very intense for the biceps so you don't have to do a lot of extra sets to get good results. Curl a BB up all the way, than lower it half way down (slight pause at this half way position) and than back up again. From this top position lower the bar all the way to the bottom. That would be considered one rep. This is a killer when 8 to 10 reps are down in this style. Usually two sets will fry the biceps when preformed in a slow, steady fashion. Can also use this method for the triceps, delt or just about any other exercise you can think of.This would be the only bicep exercise you do in a workout. As with this exercise and the one above, you can also do reverse BB curls for good results. Good Luck.