I somehow don't think we're talking about breaking any records here; sounds like the OP is just trying to figure out his gearing.
Wouldn't it help to simply know what kind of bike/gearing he has before (again) wandering off into advanced quantum physics?
Maybe the OP is trying to wind out compact MTB gearing. In that case, he should just give up trying to wind it out and, as someone said, find a steeper hill and let gravity do its job.
Also, what's the definition of "doing 16 to the dozen?" We need a little bit more precise description of RPM to draw any conclusions.
Lets's say, the OP has a 52X13 at their disposal. Winding this up to 120 rpm will propel the bike to 37 mph -- the speed they claimed. Is 120 rpm "16 to the dozen.?" I don't know, but it isn't what I'd call maxing out.
My highest gear (50X13) is just under 103 inches. If I wind that out to 120 rpm, I get just over 36 mph, or 58 km/h, which is plenty fast. In fact, on any decent hill, gravity will help and I'm soon well on the other side of 60 km/h. My fastest decent to date was 85 km/h, or 53 mph.
The thing is, downhill is only a small part of most rides. It's more important to become a good
ascender. That's where you make time and the technical skills are not so onerous (ie. lack of won't get you killed). So, rather than worrying about big chainrings, worry about "spare tyres."
Finally, it's not as simple as "pump up skinny tyres to maximum."