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Maybe it's "extraordinarity"? However, the word only has 5000 Google results.

Example sentence:

Being a freak is not a good kind of __.

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  • "... is not a good way to be exceptional."
    – Hot Licks
    Jan 8, 2017 at 19:30

3 Answers 3

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extraordinariness
Noun The property or state of being extraordinary.
- https://en.wiktionary.org/wiki/extraordinariness

Also see this ELU question: What's a good word that means extraordinariness or exceptional-ness?

And just for the record the NGRAM shows extraordinarity virtually unused relative to extraordinariness :

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I would say Deviation. Dictionary.com defines the word as "departure from a standard or norm." Since a deviation can be either positive or negative in nature, you're not being redundant when you call it "not a good kind of deviation." Deviation also carries a sociological connotation, which might be a point you're trying to make.

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Extraordinaire can be drafted into service, but use with caution.

http://economictimes.indiatimes.com/slideshows/people/alfred-nobel-life-of-an-extraordinaire/slideshow/23976481.cms

https://www.kcet.org/shows/artbound/peter-sprague-an-extraordinaire-from-the-land-of-extraordinary-guitarists

As a noun, it used to refer to a particular type of payment, and was also used as a shortened form of some job titles.

I have no problem with "a freak is not a good kind of extraordinaire."

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