That cross and its cord are now estimated € 15K for sale on December 2 at Paris (Drouot) by Collin du Bocage, lot 51. Here is the link to the website of the auction house.
I discussed this decoration as follows before the previous sale :
Created in 1578, the Ordre du Saint-Esprit (order of the Holy Spirit), the highest French decoration up to the Révolution, was essentially attributable to the members of the royal family.
Louis XVIII restores it in 1814 to strengthen his links with the other European monarchies. At his death in 1824, his brother and successor Charles X redirects the regime to an authoritarian monarchy in which he favors the traditional symbols.
Louis-Philippe duc d'Orléans is a distant cousin to the king. The son of a régicide and himself a patriot at the beginning of the Révolution, he does not conflict with the king during the Restauration and accepts the Saint-Esprit from Charles X.
The decoration coming for sale is the Saint-Esprit worn by the duc d'Orléans at the coronation of Charles X in Reims on May 29, 1825. It had been realized by Ouizille et Lemoine, titular jewelers for the Légion d'Honneur, and comes now from the collection of the comte and comtesse de Paris.
The prince who received it in 1825 is also the responsible for the official demise of the order. A new revolution provides the power in 1830 to this duc d'Orléans. The man whom his opponents will nickname the Roi bourgeois removes various symbols to better stand out from the tradition.
Louis-Philippe I is roi des Français (king of the French) and not a king of France. He accepts the tricolore flag and deletes the order of the Saint-Esprit from the very beginning of his reign. The order will however be privately maintained by the descendants of the French royal dynasties.
SOLD for € 14K before fees