New Year and Traditions

What is this tradition to celebrate New Year according to the New Style and according to the Old style? In Russia New Year is being celebrated on 31st of December. And Christmas is on 6th of January (25th of December in other countries). According to the Old Style New Year celebrated on 13th of January (and Christmas, probable on 25th of December as well). So today is the first day of New Year 2012! So again! I would like to congratulate you and to send you some of my New Year's greeting from Russia, where it is raining!