Adjective : an unconnected wire. ,an unconnected account of the accident.    From Dictionary.com. 

The customer tells his tale of woeful unconnectedness.    From Wordnik.com.  [DSLreports - front page] Reference

My epistle is a model of unconnectedness, but I have no partic: subject to write on, and must proportion my scribble in some degree to the increase of postage.    From Wordnik.com.  [The Works of Charles and Mary Lamb — Volume 5 The Letters of Charles and Mary Lamb] Reference

He was the mob with his turbulent and unexpected movements, his variableness, his unconnectedness, his rages interrupted by laughter, or suddenly sinking into sympathy and sorrow for the very victims he immolated.    From Wordnik.com.  [History of the Girondists, Volume I Personal Memoirs of the Patriots of the French Revolution] Reference

Absolutely terrified with the misgivings of his own heart, he, in the wildness and unconnectedness of his purpose, now resolved to make the attempt to return alone, although he knew not even the situation of the path he had so recently quitted.    From Wordnik.com.  [Wacousta : a tale of the Pontiac conspiracy (Complete)] Reference

Some of us have been riding this train for awhile, and some of us have been only mildly interested in the passing political scenes that rush by like trees and houses from the vantage point of a train's windows; there's a certain detachment, a certain unconnectedness to the life surrounding us on the train.    From Wordnik.com.  [Signs of the Times] Reference

Careless as to the apparent unconnectedness of contemporary events, he bestows little attention on preparation and development: all the figures follow in rapid succession, and announce themselves emphatically for what we ought to take them; from scenes where the effect is sufficiently agitating to form the catastrophe of a less extensive plan, the poet perpetually hurries us on to catastrophes still more dreadful.    From Wordnik.com.  [Lectures on Dramatic Art and Literature] Reference