Tau Empire Sound Board now has a home screen button:

After consulting Google search, I found an article on how to do this here: http://www.cellcode.com/news/how-to-add-iphone-icon-to-your-website/

It effectively boils down to making a 150 X 150 pixel file, like the one seen above and saving it as a PNG file with a very specific name: "apple-touch-icon.png". Next save it to the root directory on your website.

Nothing too difficult. Now we have a lovely icon for the home screen! :D