Equitation
/ˌekwɪˈteɪʃn/
Definition 1 of 1
Pro Tip 1/3Specific Context
Used specifically for discussing the ability to ride horses, not other activities. 
The equestrian center offers courses to improve your equitation.
Pro Tip 2/3Not Just Riding
Implies knowledge of techniques and forms, not just the act of being on a horse. 
She's taking equitation lessons to master different riding styles.
Pro Tip 3/3Formality Aspect
A formal word often used in professional or sporting contexts rather than casual conversation. 
Participants are judged on their equitation and control of the horse.