For those new to tradition, before Vat II there was always a Midnight Mass on New Year's Eve.
The church was packed and the smell of alcohol was evident...but they still showed up.
It started at 11:30 P.M. with the prayers I've posted above and for 1/2 an hour reparation was made for our sins of the past year during exposition of the Blessed Sacrament.
At midnight, Mass started off the New Year and I don't remember if the Te Deum was sung before or after.
Until the 1990's, there was a Polish NO priest in our city still offering this devotion but I think he was told to stop it shortly before he retired.
I've checked a couple church bulletins from the SSPX and the FSSP and both (some) are offering the Te Deum with a Holy Hour but no Mass nor devotions of reparation.
Are we really being offered tradition in it's fullness?
Perhaps our ex-seminarians here could shed some light on what was explained to them about this devotion.