In between the two main genealogies, the tract also includes a Welsh triad, referring to the three items of weaponry and armour which never failed in battle: the 300 swords of the Cynferching (descendants of Cynfarch Oer), the 300 shields of the Cynwydion (descendants of Cynwyd) and the 300 spears of the Coeling.
Entre ambas xenealoxías principais, o tratado inclúe tamén unha tríade galesa, referida aos tres obxectos de armería e armaduras que nunca fallaron en combate: as trescentas espadas dos Cynferching (descendentes de Cynfarch), os trescentos escudos dos Cynwydion (descendentes de Cynwyd) e as trescentas lanzas dos descendentes de Coel.