The Seiko/TMI/SII/Epson caliber NH05 is a hand-windable and hacking automatic movement. At only 17.5mm diameter it is a fairly small movement and ideal for ladies size watches.The mainspring of this caliber is fully wound after 55 turns of the crown.
Time Module documentation claims an accuracy rating of -35 ~ +55 seconds per day. E.C. Anderson is a brand know to use this movement in their North Sea II watch, and they regulate the movements by hand in-house before shipping.
At the time of this post, caliber NH05 replacement prices were found online for $69.29.
The only watch brand we currently know is using this movement is E.C. Andersson in the North Sea II. This is what is posted on their site about it:
E.C.Andersson uses the SEIKO NH05, a movement that is beloved around the world. Known to be extremely reliable, thanks to the solid built. The SEIKO NH05 often outlives many of its competitors by far, and are easy to service.