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Synonyms for Superfine (same or very similar meaning)

WordNet sense 1 (of textures that are smooth to the touch or substances consisting of relatively small particles):
fine, fine

WordNet sense 2 (excessively delicate or refined):
overrefined

WordNet sense 3 ((used of persons and their behavior) cultivated and genteel):
refined

WordNet sense 4 ((superlative of `good') having the most positive qualities):
best


From the ODE community, based on WordNetadd/edit