It is called the Nakasendai War based on the fact that Tokiyuki HOJO temporarily occupied Kamakura during the period between the former administration (Hojo clan) and the subsequent administration (Ashikaga clan).
先代（北条氏）と後代（足利氏）との間にあって、一時的に鎌倉を支配したことから中先代の乱と呼ばれている。