An order of the true mosses (subclass Bryidae) that grow in dull, dark tufts on soil or soil-covered rock, generally in calcareous areas. The Encalyptales consist of a single family and two genera, the better known being Encalypta, the extinguisher moss, so called because of its long calyptra of candle-snuffer form. The leaves resemble some of the Pottiales in shape and papillosity, but the ladderlike thickenings of the basal cells and the peristome characters indicate a fairly distant relationship.