No new episode on the 27th of May

https://twitter.com/atomtb_anime/status/868432786419351552

The last episode is airing on the 29th of April

http://www.animenewsnetwork.com/daily-briefs/2017-03-25/tales-of-zestiria-the-x-anime-final-episode-premieres-april-29/.113944

The episode that aired on the 17th of February was a recap of the first 6 episodes.

The broadcast period starts from the 7th of October, not before that. 11th of September had a pre-screening event for the first 3 episodes but that doesn't really count as the start of the show.