Shogun Japan By pineAPPLEchEEse Period: 794 to 794 The Heian Period Emperor Kammu moved the imperial capital from Nara to Heian-kyo, now known as Kyoto. Period: 1180 to 1185 The Genpei War A national civil war between the Taira and Minamoto clans during the late-Heian period of Japan.