The number of teeth on the bar nose sprocket is determined by the chain pitch. I think you have confused that with the number of teeth on the drive sprocket. There are a variety of sprockets available for many of the saws we use. Generally speaking, more teeth on the sprocket = faster chain speed, but more load on the engine. If your engine has been modified (ported / muffler mod / etc) or if you are usually cutting softer wood, then a larger drive sprocket can equate to faster production. Using a larger drive sprocket on a stock saw in hardwoods usually means slower times due to having to back the saw out of the cut more often.