In the Western tradition, January 1st is the Eighth Day after Christ’s Birth and the day of His circumcision, which in ancient Israel was a child’s naming ceremony. Why circumcision is no longer practiced among Christians was explained in the last Pesher on Melchizedek: The Priesthood of the Uncircumcised.
For the Feast of the Octave, a Pesher on the Shema of Israel is offered here:
https://2046ad.org/wp-content/uploads/2024/01/octave.pdf
Happy New Year!
– JWS, January 1st, 2024