WordNet (r) 3.0 (2006):

unorthodoxy
    n 1: any opinions or doctrines at variance with the official or
         orthodox position [syn: unorthodoxy, heterodoxy,
         heresy] [ant: orthodoxy]
    2: a belief that rejects the orthodox tenets of a religion [syn:
       heresy, unorthodoxy]
    3: the quality of being unorthodox [syn: unorthodoxy,
       heterodoxy] [ant: orthodoxy]

Moby Thesaurus II by Grady Ward, 1.0:

133 Moby Thesaurus words for "unorthodoxy":
   Bohemianism, aberrancy, aberration, ambiguity, ambivalence,
   antinomy, asymmetry, beatnikism, capriciousness, changeability,
   changeableness, choppiness, contrariety, contrast, dappleness,
   defectiveness, delusion, departure, deviancy, deviation,
   difference, differentiation, disaccord, disaccordance,
   disagreement, disconformity, discongruity, discordance,
   discrepancy, discreteness, disorder, disparity, disproportion,
   disproportionateness, dissent, dissidence, dissimilarity,
   dissonance, distinction, distinctness, distortion, divarication,
   divergence, divergency, diversification, diversity, equivocality,
   errancy, erroneousness, error, fallaciousness, fallacy, falseness,
   falsity, far cry, fault, faultiness, flaw, flawedness, fringiness,
   hamartia, heresy, heterodoxy, heterogeneity, hippiedom, illusion,
   inaccordance, incoherence, incommensurability, incompatibility,
   incongruity, inconsistency, inconsonance, inconstancy, inequality,
   inharmoniousness, inharmony, instability, irreconcilability,
   irregularity, jerkiness, mercuriality, misapplication, misbelief,
   misconstruction, misdoing, misfeasance, misinterpretation,
   misjudgment, mixture, motleyness, mutability, nonconformability,
   nonconformism, nonconformity, nonstandardization, nonuniformity,
   odds, opposition, originality, otherness, oxymoron, paradox,
   peccancy, perversion, pluralism, raggedness, revisionism, schism,
   self-contradiction, separateness, sin, sinfulness,
   unconformability, unconformism, unconformity, unconventionality,
   unevenness, unlikeness, unsteadiness, untrueness, untruth,
   untruthfulness, variability, variance, variation, variegation,
   variety, variousness, versatility, wavering, wrong, wrongness