Couple of other terms i've seen...
* Pidgin - An attempt to get away from DSL ambiguity!
* Slang - This is what Perl6 calls them
(Lisp) "dialect" seems to refer to a particular implementation/variant of Lisp, e.g. CommonLisp, Scheme, Racket, Clojure, MacLisp, NewLisp, etc. rather than a domain-specific language built in a Lisp.
(e.g. searching for "lisp dialect" gives pages like https://www.slant.co/topics/5928/~lisp-dialects )