Crockford Keyboard
jslegers.github.com
jslegers.github.com
Likewise, compartmentalizing typing into various groups (alphabetic chars, accented chars, capitalized chars, symbols, punctuation, etc.) is logical, but mostly incompatible with just about any modern keyboard workflow.
edit : after doing some further reading, I realize I was judging it based on a completely incorrect set of criteria. It's intended purpose was for non typists, single-hand typing or "environments where conventional two-handed keyboarding does not work" [1]
Though even by these criteria it's poorly suited for any language not completely served by ISO-8859-1 (and some languages that even 8859-1 is sufficient for). This includes a number of European languages.
I'm not sure about having t, n, s on the weaker fingers.
Edit: Answering my own question, since it looks like this was designed for touch/pen based input, it would probably hide the keyboard: http://www.crockford.com/wrrrld/keyboard.html