From Easy-Gaited Horses by Lee Ziegler, in regard to the gait of stepping pace:
"It is a broken lateral gait in which the hooves on one side of the horse lift from the ground close in time and set down close in time, but not at exactly the same moment, as they do in the true pace. The hind hoof sets down noticeably before the front on the same side."
The following image is part of her Gait Description Chart (click on the image to see a larger version).
The image below, from Lee's book, shows drawings of the three-foot support, and the separate lift-off of the laterals.
Verne Albright's book, The Peruvian Paso and His Classic Equitation:
We are attempting to tease out the difference, if there is one, between stepping pace and sobreandando.
To begin, here is the gait chart that shows the intermediate gaits from trot (left) to pace (right).
Here is a chart by Verne Albright showing gaits from trot (bottom) to pace (top).
In the first chart, you can see that stepping pace falls in the pace category, with rack sitting between the square gait of running walk and the lateral gait of pace.
In the other chart, sobreandando is the gait sitting between paso llano (square gait, running walk) and huachano (lateral gait of pace).
(Note: There does not seem to be an allowance for the rack in the Albright chart.)
The chart that Lee used is the same as Albright's chart... except that Albright's chart has a mistake in it... the last footfall to the right is placed incorrectly.
While these one-dimensional diagrams of the timing of grounded feet are helpful, they are limiting as they are unable to show us the set down and pick up, which also defines a gait and makes it different from another gait.
This is a video by Leslie Pavlich, working with her Quarter Horse on his easy gait (i.e. running walk of gaited horses). She helps to bring out the gait with clicker training:
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