Great Badges are divided into four types that match the color attributes of units. All types of Great Badge can be obtained upon completing the sixth Stratum or higher in the Training Tower. Each type, however, has a different schedule to obtain.
Great Scarlet Badge
Increase ✯ for a 4✯ red-type ally.
Great Azure Badge
Increase ✯ for a 4✯ blue-type ally.
Great Verdant Badge
Increase ✯ for a 4✯ green-type ally.
Great Transparent Badge
Increase ✯ for a 4✯ colorless-type ally.
Saturday and Sunday offer random types of Badge while Monday does not offer any Badge.