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Overall any month and day, except 29 Feb, falls on each day of the week in one seventh of the years. However, 29 Feb keeps that from being a simple seven year pattern. Any period of 28 years that doesn't include a year ending in 00 will have exactly 4 occurrences on a particular day and month for each day of the week, but those will be separated by as few as 4 and as many as 10 years when the date falls falls on other days of the week. (2000, because it was divisible by 400 was still a leap year so that any period of 28 years including 2000 also follows that rule.) So the most exact answer is every 5 to 11 years.

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13y ago

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