Commentaire sur Les Psaumes 120:1

A song of ascents which the Levites will recite on the fifteen steps that go down from the Israelites’ court to the Women’s court, and there are fifteen psalms entitled “A song of ascents” (Suc. 5:4, Mid 2:5). And our Rabbis said that David composed them to raise the deep, as is explained in Tractate Succah (53a). And according to the Aggadah (Yerushalmi Sanh. 10:2, 52b), it is to be interpreted: A song for a hundred steps (שיר למאה עולות).