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The Collaborative International Dictionary
Unmeetness

Unmeet \Un*meet"\, a. Not meet or fit; not proper; unbecoming; unsuitable; -- usually followed by for. ``Unmeet for a wife.''
--Tennyson.

And all unmeet our carpet floors.
--Emerson. [1913 Webster] -- Un*meet"ly, adv. -- Un*meet"ness, n.

Wiktionary
unmeetness

n. The quality of being unmeet.