When was the earliest lunar calendar born?

Hello, the traditional summer calendar (China calendar) is actually a kind of yin-yang calendar. The earliest literature was recorded in the Han Dynasty.

The lunar calendar does not consider the movement of the earth around the sun, so the changes of the four seasons in the lunar calendar have no fixed time and cannot reflect the seasons, which is a great shortcoming. In order to overcome this shortcoming, people later decided on a compromise calendar, the so-called yin-yang calendar. The summer calendar still in use in China (some people call it lunar calendar or lunar calendar) is this kind of lunar calendar.

If it helps, please adopt it.