The Bourbon-Busset family is an illegitimate branch of the House of Bourbon, being thus agnatic descendants of the Capetian dynasty. Historically they have been regarded as non-dynastic since decisions rendered by Louis XI of France.
Possibly, however, the family may be canonically legitimate, in which case it is the most senior extant male-line branch of the Capetians, and senior to the Bourbons which reign today in Spain and Luxembourg and have in the past ruled France, Naples and Sicily, as well as to the House of Braganza, also Capetians by illegitimate descent.
Its head uses the title Count of Busset since the marriage of the first Bourbon with Louise Borgia, Duchess of Valentinois heiress of the barony of Busset, daughter of Cesare Borgia, Duke of Valentinois.
Read more about Bourbon-Busset: Origin, Historical Evolution, Modern Era, Other Illegitimate Houses