A tetrameric histone deacetylase complex that contains a Class II deacetylase catalytic subunit. In S. cerevisiae it is composed of two Hda1p subunits along with Hda2p and Hda3p. [ http://www.ncbi.nlm.nih.gov/pubmed/8663039 GOC:mah http://www.ncbi.nlm.nih.gov/pubmed/11287668 GOC:dgf ]