1. Symmetry, balance, proportion, harmony are terms used, particularly in the arts, to denote qualities based upon a correspondence or agreement, usually pleasing, among the parts of a whole. Symmetry implies either a quantitative equality of parts ( the perfect symmetry of pairs of matched columns ) or a unified system of subordinate parts: the symmetry of a well-ordered musical composition. Balance implies equality of parts, often as a means of emphasis: Balance in sentences may emphasize the contrast in ideas. Proportion depends less upon equality of parts than upon that agreement among them that is determined by their relation to a whole: The dimensions of the room gave a feeling of right proportion. Harmony, a technical term in music, may also suggest the pleasing quality that arises from a just ordering of parts in other forms of artistic composition: harmony of line, color, mass, phrase, ideas.

Did you mean antisymmetric?