This summer, while many comedy fans were distracted by Amy Schumer’s meteoric rise and Jon Stewart’s “Daily Show” departure, Comedy Central quietly introduced one of the best new series of the season: the faux reality show/period piece “Another Period.” Billed as “Downton Abbey” meets “Keeping Up with the Kardashians,” the show is set in Newport, R.I., in 1902, and follows the high-society Bellacourt family and its downstairs help.