Jim,
Looking up Miniatum as a hybrid/either as Ascocenda/Ascda or Vanda at the RHS
http://apps.rhs.org.uk/horticu...
you will not get a relevant hit.
I would think Ascda Miniatum ( hybrid of Ascocentrum x Vanda) must be an error? It should be Ascocentrum/Asctm miniatum?
Would you like to post a picture of the plant?