nonharmony means lack of harmony; unmelodiousness.
Etymology
From non- + harmony.
noun
- Lack of harmony; unmelodiousness.““Bounded by Allegiance,” from “Isa,” was one highlight of Wednesday’s concert: Mr. Kjellson croaked in lovely nonharmony with the keyboardist Herbrand Larsen, who is also the band’s only crooner; Ivar Bjornson, the lead guitarist, played a sinuous solo; fans defied the club’s bouncers by starting a short-lived mosh pit.”