I ended up doing something similar to what this author tried to do starting in my sophomore year in college (although I didn't have any particular goal in mind when I started). Over the course of about a year and a half, through some combination of classes and my own projects, I programmed Standard ML, Prolog, Haskell, PHP, Ruby, JavaScript, x86 Assembly, Scala, SuperCollider, and Scheme for the first time. At that point, all I really knew were Java and Python.
I think it was an immensely useful experience for several reasons. I've now had some exposure to most/all of the major programming paradigms (and some less common ones too). A month is enough time to begin to get a feel for a language and its idioms, and being able to think and solve problems in different ways will make you a much better programmer even if you do end up working mostly in one or two languages.
Learning how to learn a programming language quickly is also an exceptionally useful skill. New languages don't scare me any more--I can usually learn enough to start hacking on something in a couple of hours, and enough to not be writing completely horrible code in a couple of days. And it's now very rare that I sit down to read a piece of code and can't figure out what's happening because I'm not familiar with the language, which is very helpful when I need to work on something I've never seen before.
That all said, there's a reason I didn't continue doing that indefinitely. Learning one or two languages really well is also very important.
Trying Prolog, Erlang, Haskell and Scala in the space of 4 months while trying to solve simple problems (Project Euler comes to mind) should allow one to find a language approach that works. Object-oriented, lazy functional, concurrent or logical, one of those might stick. And if not, there's Lua, Ruby, Groovy, C#, Scheme, Perl6, Python3, Forth, C++, Brainfuck, ...
Each language has a core idea or two that could fit someone's personality. Then, the next year could be spent learning that language in-depth, as you mention. Finally, build upon that experience and re-evaluate the orignal list of languages; JavaScript looks better after Lua, Haskell is Scheme with Prolog-like pattern matching and a generic type system like an advanced C++, Forth and Brainfuck are about a simplicity even beyond Scheme's, etc.