Hear me out, but we should make the calendar:

January
February
February part 2 (this would be what we currently call March, April, and May, just in one convenient bundle)
June
July
July part 2 (this would be what we currently call August and September, just in one convenient bundle)
Holiday months (this would be what we currently call October through to December, just in one convenient bundle)

There's no way people ๐˜ณ๐˜ฆ๐˜ข๐˜ญ๐˜ญ๐˜บ believe that months like April, August, and September actually exist. So let's stop pretending there's "12 months" and just call it what it is.