When Will Firday the 13th Happen in October Again

Image via Kelli Marshall
Image via Kelli Marshall

October thirteen, 2017 is a Friday, ushering the second of two Friday the 13ths in 2017. Any calendar year has at least 1 Friday the 13th, but no more than than three Friday the 13ths. The last time we had just 1 Friday the 13th in a agenda year was in May 2016 and the next time won't be until Baronial 2021. Iii Fri the 13ths last took place in 2015 (February, March, Nov), and will next happen in 2026. This twelvemonth, in 2017, there are two Friday the 13ths (January and Oct).

Not that we at EarthSky suffer from friggatriskaidekaphobia – an irrational fear of Friday the 13th – but, gosh darn, this twelvemonth'due south second Friday the 13th on October 13, 2017, happens exactly 39 weeks (3 x thirteen weeks) after the last Friday the 13th in Jan 2017. But that's hardly the end of information technology. Next year, in 2018 (which as well has two Friday the 13ths), the first of the 2 comes on Apr xiii, 2018, exactly 26 weeks (2 x 13 weeks) after the Fri the 13th in Oct 2017. Then the 2d Fri the 13th of 2018 falls on July 13, 2018, exactly 13 weeks after the showtime Fri the 13th in April 2018.

Yikes, that's quite a few of coincidences involving the number 13 … though we could cite many more than!

Follow the links beneath to learn more than about why some people fear this day and about the intriguing mathematics of Fri the 13th and the calendar.

Scary coincidence or super unlucky?

In 2017, blame a common year starting on Sunday

How often do January-October Friday the 13ths happen?

Rhyme and reason for the 400-yr Friday the 13th cycle

Gregoriana bike of 372 years

Can a leap year get-go on Sunday?

Gioachino Rossini, a 19th century Italian composer. Folklorists say at that place's no written evidence that Friday the 13th was considered unlucky before the 19th century. The earliest known documented reference in English language appears to exist in Henry Sutherland Edwards' 1869 biography of Rossini.

Scary coincidence or super unlucky? Neither. It'due south just a quirk of our calendar, equally yous'll run across as you keep reading.

The fact is that, according to folklorists, there'south no written testify that Fri the 13th was considered unlucky before the 19th century. The earliest known documented reference in English appears to be in Henry Sutherland Edwards' 1869 biography of Gioachino Rossini. His portrait is on this page. He doesn't wait scary.

Friday has always gotten a bad rap. In the Middle Ages, people would not marry – or set out on a journeying – on a Friday.

There are likewise some links between Christianity and an ill association with either Fridays or the number 13. Jesus was said to be crucified on a Friday. Seating xiii people at a table was seen as bad luck because Judas Iscariot, the disciple who betrayed Jesus, is said to take been the 13th guest at the Last Supper. Meanwhile, our word for Friday comes from Frigga, an ancient Scandinavian fertility and dear goddess. Christians called Frigga a witch and Friday the witches' Sabbath.

In modern times, the slasher-movie franchise Friday the 13th has helped proceed friggatriskaidekaphobia alive.

Best New Year'south gift ever! EarthSky moon calendar for 2017

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The Friday the 13th slasher-movie franchise helped keep this day maintain its notoriety.  Image via Wikimedia Commons
The Friday the 13th slasher-pic franchise helped keep this mean solar day maintain its notoriety. Image via Wikimedia Commons

In 2017, blame a common year starting on Sunday. Whenever a common year of 365 days starts on a Lord's day, information technology's inevitable that the months of January and October will starting time on a Lord's day. And whatever month starting on a Sunday ever has a Friday the 13th. So this twelvemonth, in 2017, we'll take a Friday the 13th in January and October.

The final time a common year started on a Lord's day was xi years ago, in the year 2006. The next time will be vi years from 2017, in 2023. Some of y'all may wonder if at that place's some formula that governs how this twofold Friday the 13th drama repeats itself. The answer is a definite yes. Keep in heed that this January-October Friday the 13th yr can only happen in a common year of 365 days, and when January 1 falls on a Sunday.

Any calendar year that happens one yr afterward a leap year will recur in 6, 17 and 28 years. Therefore, if our twofold Friday the 13th year comes 1 twelvemonth after a bound year, as it does in 2017, the days and dates will match up once again in 6, 17 and 28 years. Therefore, the years 2023, 2034 and 2045 will all harbor Jan and October Friday the 13ths:

2017 + 6 = 2023

2017 + 17 = 2034

2017 + 28 = 2045

Calendar for 2017

Calendar for 2017 via TimeandDate.com.

How often do Jan-October Friday the 13ths happen? More often than you might imagine! The start Jan-Oct Friday the 13th yr in the 21st century (2001 to 2100) occurred in 2006, which is two years after a jump year. Whatsoever agenda yr happening two years subsequently a leap year will have days and dates matching up over again in periods of 11, 17 and 28 years:

2006 + 11 = 2017

2006 + 17 = 2023

2006 + 28 = 2034

We continue the bike onward to discover a g total of 10 January-October Friday the 13th years for the 21st century (2001 to 2100):

2006, 2017, 2023, 2034, 2045, 2051, 2062, 2073, 2079 and 2090

Because the year 2090 is two years later on a jump year, nosotros might be tempted to project the next January-October Friday the 13th to the year 2101:

2090 + 11 = 2101

Alas, hither's where the Gregorian agenda throws a monkey wrench at u.s.a.. By Gregorian agenda rules, century years not as divisible by 400 (e.1000. 2100, 2200, 2300) are non bound years of 366 days – merely rather, common years of 365 days. So the suppression of the jump year in 2100 perturbs the cycle, bringing about the first January-October Fri the 13th year of the 22nd century (2101 to 2200) in the year 2102, instead of 2101.

By good fortune, we can pretend that the year 2102 comes 2 years after a leap year, to projection the recurrence of January-October Fri the 13th years in periods of 11, 17 and 28 years.

2102 + 11 = 2113

2102 + 17 = 2119

2102 + 28 = 2130

We keep the cycle onward to find a total of xi Jan-Oct Friday the 13th years for the 22nd century (2100 to 2200):

2102, 2113, 2119, 2130, 2141, 2147, 2158, 2169, 2175, 2186 and 2192

In the 23rd century (2201 to 2300), the wheel is perturbed again. The first January-Oct Friday the 13th year does not autumn in 2203 – simply rather in 2209, which is 1 year subsequently a bound twelvemonth. Whatsoever calendar year happening 1 year after a spring year recurs in 6, 17 and 28 years.

Thus, we detect eleven January-October Friday the 13th years for the 23rd century (2201 to 2300):

2209, 2215, 2226, 2237, 2243, 2254, 2265, 2271, 2282, 2293 and 2299

In the 24th century (2301 to 2400), the cycle is once more perturbed. The first January-October Friday the 13th year does not come up in 2310 – but rather in 2305, or i year after a spring year. That gives 11 January-October Fri the 13th years for the 24th century (2301 to 2400):

2305, 2311, 2322, 2333, 2239, 2350, 2361, 2367, 2378, 2389 and 2395

Considering the twelvemonth 2400 IS a leap twelvemonth of 366 days, the wheel is NOT perturbed in the following 25th century (2401 to 2500). So we can go on on going to find x January-October Friday the 13th years for the 25th century (2401 to 2500).

2406, 2417, 2423, 2434, 2445, 2451, 2462, 2473, 2479 and 2490

Statistically speaking … the modal solar day for the 13th to occur on is Friday, with 688 occurrences in the iv,800-month cycle. (Of course, this is the same graph for the 6th besides every bit the 13th, 20th and 27th.) Caption and graphic via datagenetics.com.

Rhyme and reason for the 400-year Friday the 13th cycle.

Because the Gregorian calendar has a 400-year cycle, the January-Oct Friday the 13th years recur in cycles of 400 years. For example, respective January-October Friday the 13th calendar years are exactly 400 years apart in the 21st and 25th centuries:

21st century (2001 to 2100):

2006, 2017, 2023, 2034, 2045, 2051, 2062, 2073, 2079 and 2090

25th century (2401 to 2500):

2406, 2417, 2423, 2434, 2445, 2451, 2462, 2473, 2479 and 2490

Gregoriana cycle of 372 years.

Information technology appears every bit though cycles of 372 and 400 years (372 + 28) prevail over the long course of centuries. Have the year 2017, for example:

2017 + 372 = 2389

2017 + 400 = 2417

The 372-twelvemonth menses is known every bit the Gregoriana eclipse cycle, which we elaborate about in our mail: How often does a solar eclipse happen on the March equinox?

As magical every bit all of this Fri the 13th calendar intrigue appears to be, it's not supernatural. It's entertaining number play, even if it may haunt our uncomprehending minds.

Can a leap year showtime on Sunday?

Aye, a leap year of 366 days can first on a Sunday. Information technology terminal occurred in the year 2012 and will next happen in 2040. Whatever leap twelvemonth starting on a Sun has three Fri the 13ths which fall in January, April and July. The days and dates of any leap year match up once again in periods of 28 years. And then we have just 4 January-Apr-July Fri the 13th years in the 21st century (2001 to 2100):

2012, 2040, 2068 and 2096

… and whether or not it is clear to you, the universe is unfolding every bit it should. Resin, acrylic paint and archival print on transparency on panel, by Boston artist Jessica Dunegan.

Bottom line: Scared of Friday the 13th? It's just a feature of our Gregorian calendar, and a pretty common ane at that. From what nosotros've been able to gather, the 400-year wheel displayed past the Gregorian agenda features 688 Fri the 13ths. Nosotros notice that 43 of these 400 years harbor January-Oct Friday the 13ths, accounting for 86 of the 688 Friday the 13ths in one 400-yr cycle.

2015 had 3 Friday the 13ths. What are the odds?

When does Friday the 13th accept a total moon?

byromrewhe1938.blogspot.com

Source: https://earthsky.org/human-world/first-of-years-two-friday-the-13ths/

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