You can also make a quarter align with the seasons, so you can just call it spring, winter, …
You can also keep 12 months and make them 30 days each, and add an equinox day in between the seasons. Winter solstice has new year tacked to it and in a leap year summer solstice is two days with the leap year. Keeps it all nicely aligned with the sun.
If you really want you can do weeks of 6 days so each month comes down to exactly 5 weeks of 6 days so the calendar is perfectly reusable each year.