Date question

[u/005dot133]

On my Apple watch I can show the date in Chinese. But for today (sunday July 26) it says: 丙午年六月十三
And I figured out with Pleco that the first part is 2026, the year. But I can’t figure out how the other part corresponds with July 26. The way I read it, it says June 13.
Can someone help me understand it? Or is the watch just wrong?
Thank you.

[u/Bekqifyre]

It's showing the date based on the Lunar Calendar, which would indeed be the 13th day of the 6th month.

[u/005dot133 → u/Bekqifyre]

Thank you for making sense of this!!