June comes from the Latin Iunius, named after Juno—the queen of the Roman gods, wife of Jupiter, and goddess of marriage and childbirth. The Romans considered June an auspicious month for weddings, and the name honored their chief goddess accordingly. Two thousand years later, English speakers still use her name without knowing who she was.
June is phonetically nearly identical to May—one syllable, similar vowel—which creates a practical problem for English learners: distinguishing May from June in rapid speech requires precise vowel discrimination that is not present in many of the world’s languages. A numbered system—Month Five, Month Six—has no such ambiguity.
The Roman calendar gave us a set of month-names drawn from three distinct categories: gods (January, March, April, May, June), emperors (July, August), and numbers (September through December). This is not a design. It is an archaeological site. Each layer of naming was added in a different era for a different reason, and no one ever went back to make the whole thing coherent.
English learners are expected to treat this archaeological site as if it were a functional system. They are not taught Roman history before their first English lesson. They are simply handed twelve words and told: memorize these, in order, and do not ask why they are what they are.
Our Recommendation: Month Six. Halfway through the year. Halfway through the clean-up.