Is "late spring" in The Analects of Confucius based on the weekly calendar, lunar calendar or summer calendar?

First, Confucius advocated the summer calendar, believing that it most abides by the natural solar terms. And the Analects of Confucius uses the summer calendar, see Wei Linggong:

Go, take advantage of Yin, serve Zhou Zhiming and enjoy Shao Dance.

But with "Mochun", the Spring Campaign was accomplished. There are five or six champions and six or seven boys, bathed in interpretation, dancing with the wind and returning with songs. From this point of view, the suspicious place is that it is still cold in the north in the ink spring season. How to take a bath? How to dance in the wind? According to the weekly calendar, Ji Chun is about silver moon (the first month of this year), and according to the summer calendar, it is about March of this lunar calendar.

It can be seen from the above that it is not a weekly calendar (winter swimming? )。 As for Confucius' lunar calendar, I have never heard of it. Therefore, we can think that the summer calendar is more reasonable.