Period is the opposite of Frequency. Attendance is a type of Frequency. Presence is a type of Attendance. 
Barn is etymologically related to Rest. Rest is related to Relief. Relief is etymologically related to Relieve. Relieve is a type of Rid. 
Period <--Antonym--> Frequency <--IsA-- Attendance <--IsA-- Presence 
Barn --EtymologicallyRelatedTo--> Rest <--RelatedTo--> Relief --EtymologicallyRelatedTo--> Relieve --IsA--> Rid 