Dates are, of course, just addresses in time, so a solution for addresses generally solves dates as well. Age is admittedly a bit trickier, but I am at an age where the details don't seem very important (my wife, for example, is ten years younger than I am, but we think of ourselves as be contemporaries -- except on trivia contests, where I can do the 40s). The internet age problem is more acute -- How can I tell a 13-year-old that I am 16 and get her to meet me in the dark? We don't even have good triage(or quartage or ...) terms: infant, prepub. tweener, teen, legal, adult, middle aged, geezer, though we could get them at some cost in wordage. We could go by milestones in our culture (guys don't have long pants times any more, but girls have bras and the like and we can think of something, driving, voting, drinking -- legally, ..., social security, elder care...),Or, of course, we can say when we were born (see above -- not that that problem has been solved yet)
I like "trinary;" it goes well with "binary," and the "-al" forms don't work at this level. I suspect this goes back to missing "ternus" on some pop quiz in my youth.
I agree that 'mani' doesn't belong, but note that it is no necessary part of 'esun.' which is, I gather, about trading. i.e., swapping. And money, when it was real, was meant as a vicar for goods and services to be used in trading in this way. Now that money has no real meaning (as witness the disappearance of trillions that were totally free from any goods or services -- and their replacement by others almost equally unfounded), it has no role in esun or only a very remote one.