Unearth, what you are doing/thinking, is nothing new. It's called "ring enhancement programs", and they've been around since as long as TID has been around (very early 1980s, when TID first came out). In the mid 1980s, when machines started having not only bouncing needles, but also programmable selections of disc, there were many many people thinking exactly what you're thinking. So several persons tested hundreds of random gold rings (they must've had a friend who owned a jewelry store! haha), and then tested all the other randomly occuring junk items and coins a person was likely to encounter in the field. Then it simply became a matter of entering in the data into a computer program, and presto: you'd have the #'s which resulted in the most rings, for the least amount of junk. I suppose, by the way, that this would be for the average junky turfed park by the way, and would never be used in relicky sites, beach, etc....
So for example: the ring enhancement programs disc'd out round tabs, because it was determined only perhaps 20% (or whatever) of gold rings fell into that TID area, but a very LARGE percent of junk items (ie.: tabs) fell into that zone. Also nickels would be nixed out, because again, only a small percentage of gold rings actually landed right on nickel (which is a very precise spot on the detector). Same for small foil: even though the smallest gold rings fell in that category, yet the junk ratio in that zone was punishing. However, above foil, yet below nickel, might have accounted for a good 40% of gold rings, while accounting for a small percentage of typically recurring junk. So that zone would be edited in. And so on, and so forth.
This was done for Whites detector's 0 to 95 scale, by several different authors, at that time. For machines like the Eagle, the Spectrum, XLT, etc.... I'm sure the programs are still out there on the net somewhere. All you'd have to do is convert the scale over to the minelab #'s, and then the homework is done for you.
But as was pointed out here, these #'s assume you're getting a clear "lock" on the TID's. TID's skew at depth, or when objects are tilted (as rings with crowns usually ARE tilted in favor of the heavy side). And a variety of factors like this to keep in mind. And if you're hunting a site where aluminum cans have become the victim of lawnmowers (can shrapnel slaw), then there might simply be too many odds, ends, and shapes to do this. But if you're in an area where the junk is pretty constant (ie.: tabs are all unfirom size, foil wads tend to be small, no can slaw, etc..) then a ring enhancement program might work for you. But be assured: you will still dig a lot of junk and you will still miss a lot of gold rings, especially in blighted junky parks.
Personally, if I'm in a spot that that's junky, and I really want gold, I don't try to be a hero in park turf to begin with. If gold rings are my goal, I'll just go to the beach, where swimming beaches are simply more prolific for jewelry losses to begin with, and digging is much easier.