How to get multiple pattern rule %/$* variables in a Makefile?

All we get in Makefiles is just one %/$* [pattern rule](https://www.gnu.org/software/make/manual/html_node/Pattern-Rules.html#Pattern-Rules) pair.

$ cat Makefile
%.bla:; echo $*
$ make -s m.bla
m

How shortsighted of our Unix™ fathers.
How can I achieve something like %{0}.%{1}.bla that will give me

$ make -s a.b.bla
a b

Sure, one could use $(basename), $(suffix), $(subst), but I'm talking about two actual independent $*-like variables.