Synonyms for Fineness (same or very similar meaning)
WordNet sense 1 (the property of being very narrow or thin):
thinness
WordNet sense 2 (having a very fine texture):
powderiness
WordNet sense 3 (the quality of being beautiful and delicate in appearance):
daintiness, delicacy
WordNet sense 4 (the quality of being very good indeed):
choiceness
From the ODE community, based on WordNet
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