Can org-mode babel tangle produce leiningen directories?

Can org-mode babel tangle produce leiningen directories?

We want to automate the production of a Leiningen project tree entirely
from an org-mode babel file. We want to do this so that we can also create
beautiful, typeset documentation via org-latex-export-to-pdf. We want no
less than full literate programming in Clojure from org-mode.
The following command:
$ lein new ex1
produces a tree that looks like this:
ex1
ex1/.gitignore
ex1/doc
ex1/doc/intro.md
ex1/project.clj
ex1/README.md
ex1/resources
ex1/src
ex1/src/ex1
ex1/src/ex1/core.clj
ex1/test
ex1/test/ex1
ex1/test/ex1/core_test.clj
We want to do the identical thing just by running org-babel-tangle, and no
more, in our org-mode buffer in emacs.
A difficulty arises: whereas tangle is happy to produce files in existing
subdirectories like src and test, it seems reluctant to produce the
subdirectories if they don't exist. That means we must create the
directory structure by some other means -- unless we can get tangle to do
it for us, and that's the subject of this StackOverflow question.
There are six files in the directory structure created by Leiningen. I can
remove them all and re-create them from my org-file with BEGIN_SRC blocks
such as the following
#+BEGIN_SRC clojure :tangle ./ex1/src/ex1/core.clj
(ns ex1.core)
(defn foo
"I don't do a whole lot."
[x]
(println x "Hello, World!"))
#+END_SRC
Notice particularly the name of the subdirectory path
#+BEGIN_SRC clojure :tangle ./ex1/src/ex1/core.clj
All is well if our directory structure already exists. org-mode's tangle
will create or update all six files described above and create new files
in any existing directory. We don't know how to get tangle to produce the
directories; it complains that there is no such directory.
A copy of the desired .org file can be found here if you would like more
details.