Likes Broken Under 2014 When Post Formats are Used

As seen at http://delta.jhuff.me/ all of the Like buttons break under Twenty Fourteen when a post format besides Standard is in use.

You can see that the Like button remains broken at http://delta.jhuff.me/2014/10/29/audio-test/ (an Audio format post), but once again functions properly at http://delta.jhuff.me/2014/09/04/lorem-ipsum/ (a Standard post format), and they are both broken once again under http://delta.jhuff.me/ (where an Audio format post is present).

I have been able to reproduce the issue with _all_ post formats except Standard, and I can only reproduce the issue in the Twenty Fourteen theme.

Screenshot Attached:

This is under WordPress 4.0, Twenty Fourteen 1.2, and Jetpack 3.2.1 with the JSON API, Likes, Monitor, Notifications, and WordPress.com Stats modules enabled. No other plugins active.

Originally discovered at http://sarahwallinhuff.com where I "fixed" it by switching an Audio post to Standard.

Start by reproducing the Like-button failure with non-Standard post formats in Twenty Fourteen, using the WordPress 4.0, Twenty Fourteen 1.2, and Jetpack 3.2.1 combination described. Trace the Likes module and its interaction with the theme's post-format markup; done means Like buttons work for every tested format while Standard posts continue to work.

Written by the indexing model from the issue text.