So remember that galloping horse in the background of my "S" Wave Lasso Girl Animation? I had a lot of people ask me how I did that. That animation was not taught to us last semester. In fact we were not given any sort of walk or run cycle exercises in our 2D Animation class. I thought maybe I'd let you all know how I did it.
I first started off with some research on horses. I observed their body sizes, the proportions of their heads compared to their whole body and their legs. I didn't bother to practice sketching it though because I like to eye ball examples and see what I come out with in the end. I didn't use this video exactly to produce my horse animation but this one is very similar and very clear.
The animation of a galloping horse that I used didn't have a man riding on it. I can no longer find the lone horse galloping video. I wish I had saved it. But I basically took the animation frame by frame according to the numbers in the lower left hand corner of the animation and drew them in with my animation of the Cow Girl. Each frame was drawn farther and farther away from each other to make it appear as if the horse was moving across the page.
As you can see at the beginning of this post, my horse was sort of leaping down a small hill in the background. I wouldn't suggest doing what I did though because It may be just a little bit off. Make sure to keep track of the movement of the horse's legs. You have to identify which leg one is in front of the other because the animation is dark. You can pause on each frame to observe how each leg moves throughout the animation.
Give it a try, good luck fellow animators!