Fineness
Part of speech: noun
Definition: The ratio, in a precious metal, of the primary metal to any additives or impurities. The ratio of a ship's length to her beam.
Delicacy
Part of speech: noun
Definition: The quality of being delicate.Something appealing, usually a pleasing food, especially a choice dish of a certain culture suggesting rarity and refinement -a Chinese delicacyFineness or elegance of construction or appearance.Frailty of health or fitness.Refinement in taste or discrimination.Tact and propriety; the need for such tact.
Example sentence: This applies to many film jobs, not just editing: half the job is doing the job, and the other half is finding ways to get along with people and tuning yourself in to the delicacy of the situation.