Construction is nearing the halfway mark on H Hotel W39, a 28-story hotel tower at 58 West 39th Street in Midtown. Designed by Peter F. Poon Architects and developed by Wei Hong Hu of H Hotel LLC, the 447-foot-tall structure will yield 65 rooms spread over 41,500 square feet along with meeting rooms and a fitness center. City Cross Construction Corp. is the general contractor for the property, which is located on a narrow plot between Fifth and Sixth Avenues, just one block below Bryant Park.