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Wiktionary
lunisolar calendar

n. A calendar based on the movement of the Earth and the Moon around the Sun, which defines the year.

WordNet
lunisolar calendar

n. a calendar based on both lunar and solar cycles

Wikipedia
Lunisolar calendar

A lunisolar calendar is a calendar in many cultures whose date indicates both the moon phase and the time of the solar year. If the solar year is defined as a tropical year, then a lunisolar calendar will give an indication of the season; if it is taken as a sidereal year, then the calendar will predict the constellation near which the full moon may occur. Usually there is an additional requirement that the year have a whole number of months. In this case ordinary years consist of twelve months but every second or third year is an embolismic year, which adds a thirteenth intercalary, embolismic, or leap month.