I know the Mayan cultures had a different way to subdivide the year into months based on 20 day cycle.. Are there comparable alternative systems for time of day, like minutes and hours that aren't 12/60 based?
Many ancient calendars (including the Hebrew calendar, still used by Jews today) follow the Metonic cycle wherein the year is typically divided into 12 months, but in 7 out of every 19 years are 'leap years' where instead of adding extra days, the calendar adds a 13th month.