Why don't you order a 10 pin gear from Madsens? Remember SpeedKills.
Basically, the smaller sprockets (seven tooth) will give your saw the most cutting power. Use these on small saws that are running long bars. For example: A STIHL 044 with a 32" bar works best with a 3/8 X 7 sprocket. A big saw with a long bar also benefits from a seven tooth sprocket. For example : A HUSKY 3120 with a 50" bar works best with a 404 X 7 sprocket.
When saws have plenty of power for the bar they are running, or the operator desires chain speed at the expense of power, the larger sprockets work best. The larger sprockets (eight tooth) have a larger diameter than their smaller brothers. This large sprocket works like a large gear. When the crankshaft rotates one turn, the larger sprocket moves more chain than the smaller one. The eight tooth sprocket has the same effect as a high gear ratio rear end has in a truck - the speed is great, but you better have plenty of horsepower when you come to a hill.
Sprocket Size Affects Chain Derailure
One effect most saw operators don't think about is the tendency for large sprockets to increase the possibility of chain derailure, or "throwing" chains, as most timber cutters call it. A large diameter sprocket, used on a saw running a bar with a narrow heel, will make a combination that throws chains frequently. The reason is: The height of the sprocket may hold the chain out of the bar rails for a long distance on the heel. When the chain is running "unguided" for a distance on the heel, the sideways force of a bound limb being cut may cause the chain to throw. This is aggravating and dangerous.
To remedy this situation, select bars that have a wider heel when running large sprockets. This usually means new bars will work better than bars with worn heels. Also, run chains as short as possible. Running a short chain will cause the heel of the bar to sit very close to the sprocket. This will usually reduce the chains "unguided" distance.
sprocket Size & Tooth Count
One last comment on sprocket size: The diameter of a 3/8 X 8 sprocket is very close to the diameter of a 404 X 7 sprocket. This occurs because the 3/8 is a smaller pitch, so in spite of its extra "tooth," it is about the same size. If you are switching to 3/8 chain, from 404, use the 3/8 X 8 sprocket if you want about the same "gearing" as you had with the 404 X 7. Another example explains why 3/8 X 7 sprockets work well on small pro saws. These saws not only benefit from 3/8 chain (which is lighter and more flexible than 404), but the 3/8 X 7 sprocket is the smallest diameter of all sprockets. This gives these small pro saws low "gearing" and enables them to run fairly long bars.