Can dual blades save points between jobs?

Here's confirmation you can save 2nd to 2nd+ and can't save 2nd+ to 3rd. I can confirm the 3rd+ advancement later tonight.

 Spoiler

Edit:

wait, cyanne, how many points you had to spend at lvl 55 to get the 2nd+ to 3job? how many points you could have saved before you did the adv job :O

EDIT: nvm, if my math is correct, you have to use all SP you get from lvl 30-55, to get the 3job at lvl 55, sucks