We have provided a significant expansion of the class of non-alternant hydrocarbons with inverted singlet-triplet gaps, which shows that excited-state Hund's rule violations are perhaps more common than first anticipated. Along with the azaphenalene class, a great variety of molecular motifs are now revealed to have this property, which will be of great technological importance if it can be applied in OLED technology. In this regard, it is urgent to establish further design rules for inverted gap emitters that also address emissive properties beyond state ordering along with experimental verification of the effect.