condition or quality of being mutual; reciprocity; mutual dependence.

1580–90; mutual + -ity

nonmutuality, noun Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2014.
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World English Dictionary
mutual (ˈmjuːtʃʊəl)
1.  experienced or expressed by each of two or more people or groups about the other; reciprocal: mutual distrust
2.  common to or shared by both or all of two or more parties: a mutual friend; mutual interests
3.  denoting an insurance company, etc, in which the policyholders share the profits and expenses and there are no shareholders
[C15: from Old French mutuel, from Latin mūtuus reciprocal (originally: borrowed); related to mūtāre to change]
usage  The use of mutual to mean common to or shared by two or more parties was formerly considered incorrect, but is now acceptable. Tautologous use of mutual should be avoided: cooperation (not mutual cooperation) between the two countries

Collins English Dictionary - Complete & Unabridged 10th Edition
2009 © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
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Word Origin & History

1580s, from mutual + -ity.
Online Etymology Dictionary, © 2010 Douglas Harper
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Example sentences
We are caught in an inescapable network of mutuality, tied in a single garment
  of destiny.
Mutuality within the arbitration agreement itself is required.
In families with tight ties, the mutuality approaches equality.
Thus, there was no mutuality of interest in a business purpose.
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