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western pleasure

n. A western-style competition at horse shows that evaluates horses on calm, responsive manners and a relaxed, slow gait.

Wikipedia
Western pleasure

Western Pleasure is a western style competition at horse shows that evaluates horses on manners and suitability of the horse for a relaxed but collected gait cadence and relatively slow speed of gait, along with calm and responsive disposition. The horse is to appear to be a "pleasure" to ride and very comfortable, while being very smooth. Most light horse breeds in the United States and Canada may compete in western pleasure classes, either in open competition or at shows limited to a single breed. However, horse conformation and temperament play a role in this event, and hence animals that are calm, quiet, have collected, soft gaits and the strong muscling required to sustain slow, controlled movement are the most competitive.

Usage examples of "western pleasure".

Arab filly that the owners' daughter showed in a Western pleasure class.