Little notes in Mix and Score windows

[mnstudio]

Which relationship is there between Mix and Score windows' little notes (grid values?). I can't actually understand their function e relationship. If I change a note value on score editor nothing change on mix window and viceversa...
For example: if I change a grid value on Mix I would expect that it changed also in score, but it is not so.....
And the others notes' values in the score.... What they mean?

[junkgear]

It's probably best to read through Chapter 37 of the Pro Tools Reference Guide. This will explain all of the options in the Score Edit window better than I can.