Leap years starting on Sunday share this characteristic, for the months January, April and July.
From February until March in this type of year is also the shortest period (one month) that runs between two instances of Friday the 13th.
Common years starting on Friday share this characteristic, but only in places where Monday is considered to be the first day of the week.
In the (currently used) Gregorian calendar, alongside Tuesday, the fourteen types of year (seven common, seven leap) repeat in a 400-year cycle (20871 weeks).
In the now-obsolete Julian calendar, the fourteen types of year (seven common, seven leap) repeat in a 28-year cycle (1461 weeks).