It is apparent that Emperor Temmu was older than Emperor Tenchi (Tenji) after tracing back their ages according to the Emperor Tenchi's (Tenji's) age at death in "Chronicles of Japan (Nihon Shoki)" and the Emperor Temmu's age at death in other history books.
確かに、『日本書紀』の天智天皇と一部の歴史書に掲載される天武天皇の享年をもとに生年を逆算すれば、天武が年長となってしまう。