This is exactly what standard sheet music does. A "C" chord can be C-E-G, which makes one shape on a piano keyboard. It can also be "inverted" to E-G-C or G-C-E. These form distinct shapes and it takes about a week to learn to spot the patterns and play them. Organists even do it with both hands while playing notes with their feet.

I remain firm in my belief that if you can touch type you can sight read music. I've seen five year olds learn to do it and I've seen 90 year old people learn to do it.