Of a high order Definition 1 of 3Pro Tip 1/3Positive Evaluation Use it when you admire someone's abilities or achievements greatly. Her musical performance was of a high order, captivating everyone. Pro Tip 2/3Beyond Average It means much better than normal, not just slightly better. The author's storytelling ability is of a high order. Pro Tip 3/3Not for Novices Suggests the subject is too complex for beginners to understand fully. Quantum physics is a discipline of a high order.