Classic music notation is pretty and all, but it's about 1000x easier to learn (and read, even if you know how to read music) this: http://www.youtube.com/watch?v=7O93rQtWJVM
What you linked a cool idea for helping people visualize notes on a piano but is nothing close to a replacement for real written music.
- key signature
- chord shape
- exact relative duration (whole, half, quarter, eighth, etc.)
- dynamics
- phrasing
- articulation
- time signature
- measures
... and on and on. Traditional notation has worked really well for hundreds of years. Once learned, it is not so mystical or difficult, and actually makes a lot of sense.