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The Collaborative International Dictionary
Unperfectness

Unperfect \Un*per"fect\, a. [Pref. un- + perfect.] Imperfect. [Obs.]
--Holland. -- Un*per"fect*ly, adv. [Obs.]
--Hales. -- Un*per"fect*ness, n. [Obs.]

Wiktionary
unperfectness

n. Quality of being unperfect.