I personally do not know any collectors that collect them, and might add, that I believe TRINARY is a recent term typically hyped on ebay to sell otherwise non significant serial numbers. If you like it, keep it.
There are hundreds of times more trinary than binary notes. I will have to do a calculation one of these days. What interests people are the less common patterns, so a random trinary is rather mundane. But of course, saving a $1 note can hardly be an issue.
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