1.  evenness(n = noun.linkdef) Array - the parity of even numbers (divisible by two); Array
is a kind of parity

2.  evenness(n = noun.attribute) invariability - a quality of uniformity and lack of variation; Array
is a kind of regularity
has particulars: smoothness
Antonym: unevenness
Derived forms adjective even₅, adjective even₄

3.  evenness(n = noun.attribute) Array - the quality of being balanced; Array
is a kind of equality
Antonym: unevenness
Derived forms adjective even₂, adjective even₆, adjective even₃

   The state of being ven, level, or disturbed; smoothness; horizontal position; uniformity; impartiality; calmness; equanimity; appropriate place or level; as, evenness of surface, of a fluid at rest, of motion, of dealings, of temper, of condition. [1913 Webster]
"It had need be something extraordinary, that must warrant an ordinary person to rise higher than his own evenness." [1913 Webster]

N  equality, parity, coextension, symmetry, balance, poise, evenness, monotony, level, equivalence, equipollence, equipoise, equilibrium, equiponderance, par, quits, a wash, not a pin to choose, distinction without a difference, six of one and half a dozen of the other, tweedle dee and tweedle dum, identity, similarity, equalization, equation, equilibration, co-ordination, adjustment, readjustment, drawn game, drawn battle, neck and neck race, tie, draw, standoff, dead heat, match, peer, compeer, equal, mate, fellow, brother, equivalent, equal, even, level, monotonous, coequal, symmetrical, coordinate, on a par with, on a level with, on a footing with, up to the mark, equiparant, equivalent, tantamount, indistinguishable, quits, homologous, synonymous, resolvable into, convertible, much at one, as broad as long, neither more nor less, much the same as, the same thing as, as good as, all one, all the same, equipollent, equiponderant, equiponderous, equibalanced, equalized, drawn, half and half, isochronal, isochronous isoperimetric, isoperimetrical, isobath, isobathic, equally, pari passu, ad eundum, caeteris paribus, in equilibrio, to all intents and purposes, it comes to the same thing, it amounts to the same thing, what is sauce for the goose is sauce for the gande.