1, 2. General, common, popular, universal agree in the idea of being nonexclusive and widespread. General means belonging to, or prevailing throughout, a whole class or body collectively, irrespective of individuals: a general belief. Common means shared by all, and belonging to one as much as another: a common interest; common fund; but use of this sense is frequently avoided because of ambiguity of sense. Popular means belonging to, adapted for, or favored by the people or the public generally, rather than by a particular (especially a superior) class: the popular conception; a popular candidate. Universal means found everywhere, and with no exceptions: a universal longing.

Did you mean generalcy?