I hate to have contributed, in some small measure, to Glenn's turmoil about negative tiller. While I appretiate his argument, it is sound within it's context, I do take exception to it as well. More specfically, the theory (in this context the word does not mean unproven, rather the opposite) is that negative tiller causes undesirable nock travel, that is nock travel in the nock down direction during the course of it's return along the power stroke. This could act to force the arrow into the rest, impeding performance and potentially causing tuning problems. Ideally you want the arrow to come off the bow as straight as possible, and the nock to travel in pretty much a straight line. In practice I think what happens is that other parameters of tuning, brace hieght, nock point in particular, and how the archer applies pressure with both his bow and string hands tends to cancel out the effects of, or actually mitigate the tendancy toward this nock down travel.
Negative tiller was first made widely public by Dean Torges in a article in The Bowyers Journal. While I agree in general with Dean's conclusions, including that cited by Glenn wrt to negative tiller, I think we (Dean and I) resolved that the nock travel aspect may be important, and was not much researched or covered by his article. They may have back issues at TBJ, and may offer subsequent issues where, for example, Gary Davis wrote another good piece on this topic of arrow pass placement, or relative limb lenght.
Most of all I think it's important for a bowyer who wants to broaden his understanding to a) become as aware and exposed to the underlying science (math and physics) as it practical b) keep an open mind c) try various designs and see how they work for you in practice. I you are like me, I'd built dozens of bows over the course of several years before I really paid much attention to the subject at all, preferring to just do what I'd always done, based probably on one example from a book I'd read while building my first bow.