The canonical question on 'how to use Git in Visual Studio?' appears to be this one posted by Herb Caudill.
One of the more recent answers notes (correctly) that "Visual Studio 2013 natively supports Git".
So when I go to a Github page (supercolider's is the one I'm trying to clone) and click on the 'Clone in Desktop' button I would expect (hope) that Visual Studio 2013 would take up the link and clone the repository. That is not what happens, instead Windows (I'm using 8.1) asks me if I would like to visit the store to find an app that can handle files of type (github-windows).
What is the correct way to clone a GitHub repository in Windows under Visual Studio 2013? The various MSDN pages (e.g. Share your code in Git or Setup Git on your dev machine) mention GitHub but do not explain how to use it.