It is difficult to date the various stages of construction of the cloister accurately. The east gallery, on the chapter house side, was probably completed by 1341. The three south, west and north galleries were built as from 1396 by the stone mason Jean Maurin who undertook to build them in keeping with the existing east gallery. Jean Maurin in all likelihood followed in the footsteps of his uncle, Jacques Maurin, from whom he inherited most of his sites in 1380 and who is assumed to have been the author of the east gallery at the beginning of his career. The Notre-Dame de Pitié chapel, at the centre of the east gallery, was the original chapter house and was completed before 1341. It was built on the model of the Jacobins church with two parallel naves running from north to south and divided into three square vaulted bays with intersecting ribs dropping into the centre of the space onto two columns. To the east, in the axis of the central bay, is a raised chapel, with a chevet of slanting wall sections and ribbed vaults. It was dedicated to Notre-Dame de Pitié after the bishop Gailhard de Pressac made his donation. Between 1365 and 1378, the governor of Languedoc, Louis d'Anjou, appropriated the chapel and had the openings onto the cloister changed. The influx of congregation obliged the hermits to install a new chapter house to the south, in the same ensemble of buildings. This space, superficially comparable to the Notre-Dame de Pitié chapel, existed no doubt as from 1341 and was most probably part of the monks' initial plan to flank the east gallery of the cloister with two rooms of equal size. The earliest architectural drawing of the convent we have was engraved by Joachim Séguenot in 1652 and shows that there was a chantry chapel in the extensions of the bays of both the Notre-Dame de Pitié chapel and the chapter house. The excavations conducted in 1976 and 1977 uncovered the foundations of these chapels, which were probably built once the main buildings were completed. They were certainly built by 1463 because the ceiling of one of them, the Conception de la Vierge chapel, was miraculously spared from the fire, as was the ceiling of the Notre-Dame de Pitié chapel.