N.Y. Uniform City Ct. Act § 1301
Upon joinder of issue the clerk shall place the case upon a general calendar. Where any party appears in person, the clerk shall fix a date for trial not less than five nor more than fifteen days after joinder of issue, and shall immediately notify all the parties by mail of such date. If any of the parties has appeared by attorney, the clerk shall notify the attorney. Where all parties appear by attorney any party may serve a notice on the others fixing a date for trial not less than five nor more than eight days after the service of such notice, and shall file such notice, with proof of service thereof, with the clerk, who shall thereupon place the case on the calendar for trial. The case shall be set down for trial as provided for by the rules.
N.Y. Uniform City Court § 1301