Before MySQL 5.7.4, and in MySQL 5.7.8 and later, TRADITIONAL is equivalent to STRICT_TRANS_TABLES, STRICT_ALL_TABLES, NO_ZERO_IN_DATE, NO_ZERO_DATE, ERROR_FOR_DIVISION_BY_ZERO, NO_AUTO_CREATE_USER, and NO_ENGINE_SUBSTITUTION.
From MySQL 5.7.4 though 5.7.7, TRADITIONAL is equivalent to STRICT_TRANS_TABLES, STRICT_ALL_TABLES, NO_AUTO_CREATE_USER, and NO_ENGINE_SUBSTITUTION. The NO_ZERO_IN_DATE, NO_ZERO_DATE, and ERROR_FOR_DIVISION_BY_ZERO modes are not named because in those versions their effects are included in the effects of strict SQL mode (STRICT_ALL_TABLES or STRICT_TRANS_TABLES). Thus, the effects of TRADITIONAL are the same in all MySQL 5.7 versions (and the same as in MySQL 5.6). For additional discussion, see SQL Mode Changes in MySQL 5.7.