Edit timeline
The Edit Timeline is a widget presenting the current edit, with all its shots placed one after the other. Basicaly it is similar to a video track in a video editing application. One major different though is that it is not possible to insert holes between clips.
The time ruler can be used exacly as the time rule of the Timeline or Dopesheet editors: you can pan and zoom into time with the middle mouse button and the mouse wheel.
When the time cursor of the Edit Timeline is moved, time is changed from the edit time point of view. In other words, jogging in the widget makes the animation be played as if is was in the final video edit, not in the 3D scene.
So keep in mind that the Edit Timeline is NOT operating in the same time referencial than the scene, it is in the time of the edit.
To play the shots one after the other, in a non-linear way, remember to activate the [Edit_Play_Mode]. The color of the timeline will change to reflect that this mode is turned on.