Isn't Lisp just the same?
The TI-84+ series is such a specific technological niche that it makes sense to write a Forth customized for it platform, which the author of this OS did earlier[0]. This repo is an OS though, so "Forth-based" means the OS is built on a Forth platform but with enough extra features that it is more than just a Forth language at this point.
Also, arguably, the part where it is compiled through Scheme might make the purists say it's not a true Forth (which tend to be self-hosting).
> Isn't Lisp just the same?
Not really.
Most Common Lisp folks have hijacked the word "Lisp" to mean Common Lisp.
Then you have Lisp-1 and Lisp-2 definitions, so when you say "a Lisp" people will wonder which you fall into, and it'll be one of the first asked questions.
Depending on your audience, they may have a very fixed idea what "Lisp" means, and it may be a very detailed concept.
Forths don't tend to suffer from those problems.
My best guess is it’s “a Forth” because you’re implementing a new language yourself, in the style of, but distinct from, the original Forth programming language. Is this correct?