I listen to a lot of classical music, but I never heard of this and can’t think of anything in the Western repertory that I’ve ever heard described in those terms.

I guess you could say all of them since “enharmonic” keys are two different keys that are just spelled differently. For instance, A sharp is the same as B flat. The only difference is when you write them on a page….where the note falls on the staff. If a musician or composer uses the key of A sharp, you could also say it is B flat

@seawulf575, not according to the article cited. Excerpt:

More broadly, an enharmonic scale is a scale in which (using standard notation) there is no exact equivalence between a sharpened note and the flattened note it is enharmonically related to, such as in the quarter tone scale. As an example, F♯ and G♭ are equivalent in a chromatic scale (the same sound is spelled differently), but they are different sounds in an enharmonic scale.