Are you sure there is not an orange wire tucked in there somewhere?
Usually the red and black are the start windings and you have two run windings (for 120 or 240v). They get wired in series for 240. If you reverse the relationship between the start and run windings you reverse the motor.
![[Linked Image from gfretwell.com]](http://gfretwell.com/electrical/marathon%206%20lead%20motor.jpg)
![[Linked Image from gfretwell.com]](http://gfretwell.com/electrical/Davit%20wiring.jpg)
