Pitch shifting may not work because the tuning of all the other notes are a scaling from the center note, not just a linear translation. That is you don't just subtract 8 hz from everything which I think is what pitch shifting does. What matters is ratios among the notes.

Edit. There is a reference of how to do it using audacity in another comment. Maybe there is a non linear pitch transform option

Pitch shifting may not work because the tuning of all the other notes are a scaling from the center note, not just a linear translation. That is you don't just subtract 8 hz from everything which I think is what pitch shifting does. What matters is ratios among the notes.