This name is a synonym of Cynorkis fastigiata var. triphylla (Thouars) S.Moore.
The record derives from WCSP
(data supplied on 2012-03-23)
which reports it as a synonym (record 53752) with original publication details: Hist. Orchid. t. 14 1822.
Full publication details for this name can be found in IPNI: http://ipni.org/urn:lsid:ipni.org:names:625460-1.
This name was in version 1 of The Plant List, record kew-53752, and has not been changed.