Synonyms for Badness (same or very similar meaning)
WordNet sense 1 (that which is below standard or expectations as of ethics or decency):
badWordNet sense 2 (used of the degree of something undesirable e.g. pain or weather):
severeness, severityWordNet sense 3 (an attribute of mischievous children):
mischievousness, naughtinessFrom the ODE community, based on WordNetadd/edit