Described are swivel systems and swivel assemblies for connecting a vacuum appliance to a vacuum accessory. The assembly can be adapted to be coupled to the accessory to permit the appliance to pivot relative to the accessory offset from a center of the accessory. The swivel system can include a vacuum adapter and a connector adapted to permit the vacuum adapter to pivot about a vacuum accessory. A plenum chamber can be formed in the adapter that is in fluid communication with one or more vacuum hoses to balance the airflow within the adapter.