Unless I am badly mistaken, the time interval between New Moons on the Winter Solstice, or for any specific calendar date, is about 3 years. The synodic period of the Moon is 29.530 days, but there are 365.24 days in the year, so if you wait 3 years you will only be off by .14 days for the next lunar phase which occurs 37 lunar months later. From New Moon on the Winter Solstice to the very next New Moon on the Winter Solstice, you have to wait 37 lunar months or 3 years and a few hours.