It would be awesome if pressing a quick tile shortcut multiple time would cycle through different sizes.

For example. If I press Meta + right 
1 times: 50% with on right side (like now)
2 times: 33% with on right side
3 times: 66% with on right side

Same for other corner short cut (varying width)

For top/button shortcuts I would suggest: 

1 times: 100% width 50% height
2 times: 33% width-centered 50% height
3 times: 33% width-centered 33% height
4 times: 33% width-centered 66% height