Export to QuickTime Movie results in timecode shift

Sorry if this has been asked before, but a quick search around the Googlesphere didn't seem to help—maybe I'm just phrasing it badly.

I'm exporting some short sequences from Final Cut. They're 1280 x 720 59.94 8-bit Uncompressed or ProRes 422 HQ timelines, and I'm using "File > Export > QuickTime Movie..." with "current settings," just video, and making them self-contained. Basically so I get a clean export of the timeline sans audio in the proper format with timecode.

However, when I look at the files' timecode in QuickTime, instead of starting at hour 1 (01:00:00;00) like they do in Final Cut, they start at 00:59:58;12. Is this some drop-frame vs. non–drop-frame issue? It's marked as "Timecode: Drop-frame" in the pulldown in QuickTime, and the sequence settings specify a start timecode of hour 1 and are checked as drop-frame as well. Is it some other bizarre thing? I'm having trouble figuring it out and there seems to be a dearth of information.