Go to METRIC MECHANIC.COM I don't know how it is spelled but something like that. They have a page on their site discussing differential ratios and hp and torque and more. They said that in most applications for BMW engine torque characteristics the 3.45:1 is optimal. I have one on my 745i and it is deffinately a lot more responsive than my buddies who has the stock 2.93:1 diff. The above mentioned page is informative and should help to answer some of your questions.