1.
New Year's Eve; the last night of the year
The night of December 31st. Most commonly encountered in the compound 除夜の鐘 (the New Year's Eve temple bells).
Cultural note
除夜の鐘 is one of the most iconic sounds of the Japanese New Year. Buddhist temples ring their bells 108 times — once for each of the 108 worldly desires (煩悩) in Buddhist teaching. The ringing begins on the night of December 31st and often continues past midnight into the new year. It is broadcast on TV as part of NHK's 紅白歌合戦 end-of-year programming.
Etymology
除 means "to remove" and 夜 means "night." The name refers to the night that removes the old year.