So, you have 2 sets of windings on the same bobin right? Both 40gauge I take it? When you mean Gauge is that in B&S or SWG? What was the core material? Sorry for all the questions but as my Tech teacher said the only stupid question is the one not asked.
Flashbang, I was also giving more thought to your comment about the flywheel on most engines and why not a linear (up/down) alternator instead. Think about how the a piston - or the mag in a shake flash light - moves. Once it gets to the top of its stroke, you have to put more energy into it to reverese its direction. IMHO it seems like that is a large waste of energy. And you can't rely on gravity to help you much because of the short stroke length.
Now this makes me think, would it be better to use a turbine instead? because or its rotary motion conserving any kinetic energy could it actually be moer effecient?