Here's why there isn't a specific name:
* Height is just one factor: A horse's breed, conformation, and purpose are all important factors in determining its identity and use.
* Many breeds have variations: Many breeds have horses that fall within the 14.2 hand range, including ponies, quarter horses, and even some warmbloods.
Here are some examples:
* A 14.2 hand Welsh pony: You might call this a "Welsh pony" or a "14.2 hand Welsh pony" for more detail.
* A 14.2 hand American Quarter Horse: You might call this a "Quarter Horse" or "14.2 hand Quarter Horse" for more detail.
So, instead of a specific name, you'll usually see the horse's breed and height mentioned together.