In Judaism, the New Moon ushers in a new month

Rosh Chodesh or Rosh ḥodesh (Hebrew: ראש חודש‎; trans. Beginning of the Month; lit. Head of the Month) is the name for the first day of every month in the Hebrew calendar, marked by the appearance of the new moon. The new moon is marked by the day and hour that the new crescent is observed. It is considered a minor holiday, akin to the intermediate days of Passover and Sukkot.^[1]

the spring festival

Chinese New Year is the most important of the traditional Chinese holidays. In China, it is known as "Spring Festival," the literal translation of the Chinese name 春節 (Pinyin: Chūnjié), since the spring season in Chinese calendar starts with lichun, the first solar term in a Chinese calendar year. It marks the end of the winter season, analogous to the Western Carnival. The festival begins on the first day of the first month (Chinese: 正月; pinyin: Zhēngyuè) in the traditional Chinese calendar and ends with Lantern Festival which is on the 15th day. Chinese New Year's Eve, a day where Chinese families gather for their annual reunion dinner, is known as Chúxī (除夕) or "Eve of the Passing Year." Because the Chinese calendar is lunisolar, the Chinese New Year is often referred to as the "Lunar New Year".