Oh, is that all?
It's my opinion that a wide range, fixed tuned system is a dumb idea. For, well, basically the entire purpose of this thread, right? For all the kVA of excess inverter and supply capacity you need, you might as well direct drive the inductor (which isn't an exaggeration for about half the operating range!).
I normally figure on a factor of 2 (total, or +/- to each side), for a modest 2-4x increase in inverter/supply capacity. This directly determines the tap spacing, and the center of the desired operating range (frequency, inductance and Q) determines how many taps are needed, and where.
It's way the fuck easier to wind a transformer, and tell the user to change a bolt and lug every so often, than to design and build, and attempt to sell, all that extra capacity.
(Speaking of -- I've worked on a direct-drive supply before. The added selling point there is, not only is tuning kind of out of the picture to start with, but frequency -- and overtones -- can be adjusted in real time to control heating depth and pattern.)
Tim