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But think of ternary computers!
Doesn't matter ternary computers just have ternary bits, 8 of them ;)
Ternary computers have 8 tits to a byte.
Should be either 9 or 27 I'd think.
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Supposedly, "bit" is short for "binary digit", so we'd need a separate term for "ternary digit", but I don't wanna go there.
The prefix is tri-, not ti- so I don’t think there was any concern of going anywhere.

It’s tricycle and tripod, not ticycle.

The standard term is "trit" because they didn't want to go there.