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The Symmetry454 calendar ( Sym454 ) is a proposal for calendar reform created by Irv Bromberg of the University of Toronto , Canada . It is a perennial solar calendar that conserves the traditional month pattern and 7-day week , has symmetrical equal quarters in 82% of the years in its 293-year cycle , and starts every month on Monday.

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55-562: The proposed calendar is laid out as follows: The idea of months having 4 or 5 whole weeks is not new, having been proposed in the 1970s by Chris Carrier for the Bonavian Civil Calendar and by Joseph Shteinberg for his "Calendar Without Split Weeks". Whereas the former has 5 + 4 + 4 weeks per quarter, and the latter has 4 + 4 + 5 weeks per quarter, the Symmetry454 Calendar has a symmetrical 4 + 5 + 4 weeks per quarter, which

110-444: A 28-year cycle from 1 March 1900 to 28 February 2100: Although there is always at least one Friday the 13th per calendar year , it can be as long as 14 months between two Friday the 13ths. The longest period that occurs without a Friday the 13th is 14 months, either from July to September the following year being a common year starting on Tuesday (F) (e.g. 2001–02, 2012–13 and 2018–19), or from August to October

165-655: A 5-week month. The leap week is shown in grey text in the above calendar year. The preferred Symmetry454 leap rule is based upon a symmetrical 293-year leap cycle having 52 leap years at intervals that are as uniformly spread as possible: It is a leap year only if the remainder of (52 × Year + 146) / 293 is less than 52. This expression inherently causes leap year intervals to fall into sub-cycle patterns of (5+6+6) = 17 or (5+6) = 11 years, which symmetrically group to 17+11+17 = 45 or to 17+17+11+17+17 = 79 years. The full symmetrical grouping for each cycle is: 45+79+45+79+45 = 293 years. Outside of calendar theory, this arrangement

220-455: A female being of the same name , may be ferried away by valkyries to Odin's martial hall Valhalla , or may be chosen by the goddess Freyja to dwell in her field Fólkvangr . The goddess Rán may claim those that die at sea, and the goddess Gefjon is said to be attended by virgins upon their death. Texts also make reference to reincarnation . Time itself is presented between cyclic and linear, and some scholars have argued that cyclic time

275-498: A frequency analysis of the distribution of the Gregorian or Astronomical Easter dates. There are only five possible dates for Easter within the Symmetry454 Calendar, since only day numbers divisible by 7 can be a Sunday. The three highest-frequency dates upon which Easter can land are March 28, April 7, and April 14. Selecting the middle date (April 7) would fix Easter at its median position within its distribution range. Friday

330-464: A leap week needs to be added. If it were slightly bigger a week would need to be removed from the calendar (in effect a negative leap), which is more undesirable and disruptive than adding one. The Kalendis calendar calculator demonstrates the Symmetry454 calendar and interconverts dates between Symmetry454 and a variety of other calendars. The Symmetry454 arithmetic is fully documented and placed in

385-463: A region in the center of the cosmos. Outside of the gods, humanity, and the jötnar, these Nine Worlds are inhabited by beings, such as elves and dwarfs . Travel between the worlds is frequently recounted in the myths, where the gods and other beings may interact directly with humanity. Numerous creatures live on Yggdrasil, such as the insulting messenger squirrel Ratatoskr and the perching hawk Veðrfölnir . The tree itself has three major roots, and at

440-586: A religious context among adherents of Germanic Neopaganism . The historical religion of the Norse people is commonly referred to as Norse mythology . Other terms are Scandinavian mythology , North Germanic mythology or Nordic mythology . Norse mythology is primarily attested in dialects of Old Norse , a North Germanic language spoken by the Scandinavian people during the European Middle Ages and

495-459: A result of a transport accident may be increased by as much as 52 percent on the 13th"; however, the authors clearly state that "the numbers of admissions from accidents are too small to allow meaningful analysis". Subsequent studies have disproved any correlation between Friday the 13th and the rate of accidents. On 12 June 2008 the Dutch Centre for Insurance Statistics stated to

550-496: Is Njörðr's unnamed sister (her name is unprovided in the source material). However, there is more information about his pairing with the skiing and hunting goddess Skaði . Their relationship is ill-fated, as Skaði cannot stand to be away from her beloved mountains, nor Njörðr from the seashore. Together, Freyja, Freyr, and Njörðr form a portion of gods known as the Vanir . While the Aesir and

605-523: Is engineered by Loki , and Baldr thereafter resides in Hel , a realm ruled over by an entity of the same name . Odin must share half of his share of the dead with a powerful goddess, Freyja . She is beautiful, sensual, wears a feathered cloak, and practices seiðr . She rides to battle to choose among the slain and brings her chosen to her afterlife field Fólkvangr . Freyja weeps for her missing husband Óðr and seeks after him in faraway lands. Freyja's brother,

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660-401: Is known as maximal evenness . The 52/293 leap cycle has a calendar mean year of 365+/ 293 days, or 365 days 5 hours 48 minutes and about 56.5 seconds, which is intentionally slightly shorter than the present era mean northward equinoctial year of 365 days 5 hours 49 minutes and 0 seconds (mean solar time). It is intentionally slightly shorter because the shorter the difference the less often

715-450: Is lost in business on this day. Despite this, representatives for both Delta Air Lines and Continental Airlines (the latter now merged into United Airlines) have stated that their airlines do not suffer from any noticeable drop in travel on those Fridays. In Finland , a consortium of governmental and nongovernmental organizations led by the Ministry of Social Affairs and Health promotes

770-542: Is possible that the publication in 1907 of T. W. Lawson 's popular novel Friday, the Thirteenth , contributed to popularizing the superstition. In the novel, an unscrupulous broker takes advantage of the superstition to create a Wall Street panic on a Friday the 13th. Similar dates are prevalent in many cultures, although it is unclear whether these similarities are in any way historically connected or only coincidental. In Hispanic countries , instead of Friday, Tuesday

825-596: Is the body of myths belonging to the North Germanic peoples , stemming from Old Norse religion and continuing after the Christianization of Scandinavia as the Nordic folklore of the modern period. The northernmost extension of Germanic mythology and stemming from Proto-Germanic folklore , Norse mythology consists of tales of various deities, beings, and heroes derived from numerous sources from both before and after

880-469: Is why it is named Symmetry454. Balanced quarters are desirable for businesses because they aid in fiscal planning and analysis. All months have a whole number of weeks, so no month ever has a partial week. Each day number within a month falls on the same weekday in all months and years; in particular, Friday the 13th never occurs under this calendar. All holidays, birthdays, anniversaries, etc. are permanently fixed. All ordinal day and week numbers within

935-528: The Poetic Edda , a collection of poems from earlier traditional material anonymously compiled in the 13th century. The Prose Edda was composed as a prose manual for producing skaldic poetry—traditional Old Norse poetry composed by skalds . Originally composed and transmitted orally, skaldic poetry utilizes alliterative verse , kennings , and several metrical forms. The Prose Edda presents numerous examples of works by various skalds from before and after

990-522: The National Accident Day ( kansallinen tapaturmapäivä ) to raise awareness about automotive safety, which always falls on a Friday the 13th. The event is coordinated by the Finnish Red Cross and has been held since 1995. A study by Scanlon, Luben, Scanlon, & Singleton (1993) attracted attention from popular science literature, as it concluded that "the risk of hospital admission as

1045-581: The Upper Room on the thirteenth of Nisan Maundy Thursday , the night before his death on Good Friday . While there is evidence of both Friday and the number 13 being considered unlucky, there is no record of the two items being referred to as especially unlucky in conjunction before the 19th century. The Knights Templar Some cite the arrest of the Knights Templar on Friday, October 13, 1307, by officers of King Philip IV of France as

1100-645: The 13th Friday the 13th is considered an unlucky day in Western superstition . It occurs when the 13th day of the month in the Gregorian calendar falls on a Friday , which happens at least once every year but can occur up to three times in the same year. For example, 2015 had a Friday the 13th in February, March, and November, which will happen again in 2026. Leap years that begin on Sunday (i.e. that follow Dominical Letter AG) such as 2012 and 2040, also have three Friday

1155-653: The 13th ( martes trece ) is considered a day of bad luck. The Greeks also consider Tuesday (and especially the 13th) an unlucky day. Tuesday is considered dominated by the influence of Ares , the god of war (or Mars , the Roman equivalent). The fall of Constantinople to the Fourth Crusade occurred on Tuesday 13 April 1204 , and the Fall of Constantinople to the Ottomans happened on Tuesday 29 May 1453, events that strengthen

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1210-612: The 13th century by Snorri and Gesta Danorum , composed in Latin by Saxo Grammaticus in Denmark in the 12th century, are the results of heavy amounts of euhemerization. Numerous additional texts, such as the sagas , provide further information. The saga corpus consists of thousands of tales recorded in Old Norse ranging from Icelandic family histories ( Sagas of Icelanders ) to Migration period tales mentioning historic figures such as Attila

1265-554: The 13ths in January, April, and July. 2017 through 2020 had two Friday the 13ths, as did 2023; 2016, 2021, and 2022 had just one Friday the 13th, as will 2025, 2027, and 2028; 2024 will have two Friday the 13ths. A month has a Friday the 13th if and only if it begins on a Sunday. One source mentioned for the unlucky reputation of the number 13 is a Norse myth about twelve gods having a dinner party in Valhalla . The trickster god Loki , who

1320-496: The 2010s, there were three Friday the 13ths in 2012 and 2015, and two in 2013, 2017, 2018, and 2019. In the 2020s, there were two Friday the 13ths in 2020 and 2023. There will also be three Friday the 13ths in 2026, and two in 2024 and 2029. The remaining years all have at least one Friday the 13th. For the details see the table below; this table is for the Gregorian calendar and Jan / Feb for leap years : Norse mythology Norse , Nordic , or Scandinavian mythology ,

1375-740: The Christianization process and also frequently refers back to the poems found in the Poetic Edda . The Poetic Edda consists almost entirely of poems, with some prose narrative added, and this poetry— Eddic poetry—utilizes fewer kennings . In comparison to skaldic poetry, Eddic poetry is relatively unadorned. The Prose Edda features layers of euhemerization , a process in which deities and supernatural beings are presented as having been either actual, magic-wielding human beings who have been deified in time or beings demonized by way of Christian mythology . Texts such as Heimskringla , composed in

1430-601: The Hun ( legendary sagas ). Objects and monuments such as the Rök runestone and the Kvinneby amulet feature runic inscriptions —texts written in the runic alphabet , the indigenous alphabet of the Germanic peoples —that mention figures and events from Norse mythology. Objects from the archaeological record may also be interpreted as depictions of subjects from Norse mythology, such as amulets of

1485-647: The Norwegian woman Ragnhild Tregagås —convicted of witchcraft in Norway in the 14th century—and spells found in the 17th century Icelandic Galdrabók grimoire also sometimes make references to Norse mythology. Other traces, such as place names bearing the names of gods may provide further information about deities, such as a potential association between deities based on the placement of locations bearing their names, their local popularity, and associations with geological features. Central to accounts of Norse mythology are

1540-814: The Thirteenth was released in Italy with the title Shriek – Hai impegni per venerdì 17? (" Shriek – Do You Have Something to Do on Friday the 17th? "). According to the Stress Management Center and Phobia Institute in Asheville, North Carolina , an estimated 17–21 million people in the United States are affected by a fear of this day, making it the most feared day and date in history. Some people are so paralyzed by fear that they avoid their normal routines in doing business, taking flights or even getting out of bed. It has been estimated that US$ 800–900 million

1595-542: The Vanir retain distinct identification, they came together as the result of the Aesir–Vanir War . While they receive less mention, numerous other gods and goddesses appear in the source material. (For a list of these deities, see List of Germanic deities .) Some of the gods heard less of include the apple-bearing goddess Iðunn and her husband, the skaldic god Bragi ; the gold-toothed god Heimdallr , born of nine mothers ;

1650-583: The ancestor of modern Scandinavian languages . The majority of these Old Norse texts were created in Iceland , where the oral tradition stemming from the pre-Christian inhabitants of the island was collected and recorded in manuscripts. This occurred primarily in the 13th century. These texts include the Prose Edda , composed in the 13th century by the Icelandic scholar, lawspeaker , and historian Snorri Sturluson , and

1705-712: The ancient god Týr , who lost his right hand while binding the great wolf Fenrir ; and the goddess Gefjon , who formed modern-day Zealand , Denmark . Various beings outside of the gods are mentioned. Elves and dwarfs are commonly mentioned and appear to be connected, but their attributes are vague and the relation between the two is ambiguous. Elves are described as radiant and beautiful, whereas dwarfs often act as earthen smiths. A group of beings variously described as jötnar , thursar , and trolls (in English these are all often glossed as " giants ") frequently appear. These beings may either aid, deter, or take their place among

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1760-417: The average figure when the 13th fell on a Friday was just 7,500." Each 400 year Gregorian solar cycle contains 146,097 days (with 97  leap days ) or exactly 20,871 weeks. Each cycle contains the same pattern of days of the week and therefore the same pattern of Fridays that are on the 13th. The 13th day of the month is very slightly more likely to be a Friday than any other day of

1815-615: The base of one of these roots live the Norns , female entities associated with fate. Elements of the cosmos are personified, such as the Sun ( Sól , a goddess), the Moon ( Máni , a god), and Earth ( Jörð , a goddess), as well as units of time, such as day ( Dagr , a god) and night ( Nótt , a jötunn). The afterlife is a complex matter in Norse mythology. The dead may go to the murky realm of Hel —a realm ruled over by

1870-474: The contrary, that "fewer accidents and reports of fire and theft occur when the 13th of the month falls on a Friday than on other Fridays, because people are preventatively more careful or just stay home. Statistically speaking, driving is slightly safer on Friday the 13th, at least in the Netherlands ; in the last two years, Dutch insurers received reports of an average 7,800 traffic accidents each Friday; but

1925-486: The cosmological tree Yggdrasil to gain knowledge of the runic alphabet, which he passed on to humanity, and is associated closely with death, wisdom, and poetry. Odin is portrayed as the ruler of Asgard , and leader of the Aesir . Odin's wife is the powerful goddess Frigg who can see the future but tells no one, and together they have a beloved son, Baldr . After a series of dreams had by Baldr of his impending death, his death

1980-399: The events of Ragnarök when an immense battle occurs between the gods and their enemies, and the world is enveloped in flames, only to be reborn anew. There the surviving gods will meet, and the land will be fertile and green, and two humans will repopulate the world. Norse mythology has been the subject of scholarly discourse since the 17th century when key texts attracted the attention of

2035-426: The following year being a leap year starting on Saturday (BA) (e.g. 1999–2000 and 2027–28). The shortest period that occurs with a Friday the 13th is just one month, from February to March in a common year starting on Thursday (D) (e.g. 2009, 2015 and 2026). On average, there is a Friday the 13th once every 212.35 days. Friday the 13ths occurs with an average frequency of 1.7218 per year or about 3477 since

2090-486: The god Freyr , is also frequently mentioned in surviving texts, and in his association with the weather, royalty, human sexuality, and agriculture brings peace and pleasure to humanity. Deeply lovesick after catching sight of the beautiful jötunn Gerðr , Freyr seeks and wins her love, yet at the price of his future doom. Their father is the powerful god Njörðr . Njörðr is strongly associated with ships and seafaring, and so also wealth and prosperity. Freyja and Freyr's mother

2145-488: The god Thor's hammer Mjölnir found among pagan burials and small silver female figures interpreted as valkyries or dísir , beings associated with war, fate or ancestor cults. By way of historical linguistics and comparative mythology , comparisons to other attested branches of Germanic mythology (such as the Old High German Merseburg Incantations ) may also lend insight. Wider comparisons to

2200-453: The gods. The Norns , dísir , and aforementioned valkyries also receive frequent mention. While their functions and roles may overlap and differ, all are collective female beings associated with fate. In Norse cosmology , all beings live in Nine Worlds that center around the cosmological tree Yggdrasil . The gods inhabit the heavenly realm of Asgard whereas humanity inhabits Midgard ,

2255-411: The gods. The cosmos in Norse mythology consists of Nine Worlds that flank a central sacred tree , Yggdrasil . Units of time and elements of the cosmology are personified as deities or beings. Various forms of a creation myth are recounted, where the world is created from the flesh of the primordial being Ymir , and the first two humans are Ask and Embla . These worlds are foretold to be reborn after

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2310-504: The intellectual circles of Europe. By way of comparative mythology and historical linguistics , scholars have identified elements of Germanic mythology reaching as far back as Proto-Indo-European mythology . During the modern period, the Romanticist Viking revival re-awoke an interest in the subject matter, and references to Norse mythology may now be found throughout modern popular culture . The myths have further been revived in

2365-457: The mythology of other Indo-European peoples by scholars has resulted in the potential reconstruction of far earlier myths. Only a tiny amount of poems and tales survive of the many mythical tales and poems that are presumed to have existed during the Middle Ages, Viking Age, Migration Period, and before. Later sources reaching into the modern period, such as a medieval charm recorded as used by

2420-436: The mythology, Thor lays waste to numerous jötnar who are foes to the gods or humanity, and is wed to the beautiful, golden-haired goddess Sif . The god Odin is also frequently mentioned in surviving texts. One-eyed, wolf - and raven -flanked, with a spear in hand, Odin pursues knowledge throughout the nine realms. In an act of self-sacrifice, Odin is described as having hanged himself upside-down for nine days and nights on

2475-561: The origin of the Friday the 13th superstition, but it is agreed the origins remain murky. In France, Friday 13th might have been associated with misfortune as early as the first half of the 19th century. A character in the 1834 play Les Finesses des Gribouilles states, "I was born on a Friday, December 13th, 1813 from which come all of my misfortunes". An early documented reference in English occurs in H. S. Edwards' biography of Gioachino Rossini , who died on Friday 13th of November 1868: It

2530-471: The pagan period, including medieval manuscripts, archaeological representations, and folk tradition. The source texts mention numerous gods such as the thunder-god Thor , the raven -flanked god Odin , the goddess Freyja , and numerous other deities . Most of the surviving mythology centers on the plights of the gods and their interaction with several other beings, such as humanity and the jötnar , beings who may be friends, lovers, foes, or family members of

2585-592: The plights of the gods and their interaction with various other beings, such as with the jötnar , who may be friends, lovers, foes, or family members of the gods. Numerous gods are mentioned in the source texts. As evidenced by records of personal names and place names, the most popular god among the Scandinavians during the Viking Age was Thor the thunder god , who is portrayed as unrelentingly pursuing his foes, his mountain-crushing, thunderous hammer Mjölnir in hand. In

2640-475: The public domain for royalty-free computer implementation. Officially, Symmetry454 has been running since January 1, 2005, which was the first New Year Day after it came into existence. Its proleptic epoch, however, was on the same day as the proleptic epoch of the Gregorian Calendar = January 1, 1 AD. Tentatively, Sunday April 7 on the Symmetry454 Calendar is proposed as a fixed date for Easter, based on

2695-467: The superstition about Tuesday. In addition, in Greek the name of the day is Triti ( Τρίτη ) meaning the third (day of the week), adding weight to the superstition, since bad luck is said to "come in threes". There is a Tuesday the 13th in months that begin on a Thursday. In Italian popular culture, Friday the 17th (and not the 13th) is considered a bad luck day. The origin of this belief could be traced in

2750-506: The week. Any month that starts on a Sunday contains a Friday the 13th, and there is at least one Friday the 13th in every calendar year. The months with a Friday the 13th are determined by the Dominical letter (G, F, GF, etc.) of the year. Years which begin on the same day of the week and are of the same type (i.e. common year or leap year ), will have a Friday the 13th in the same months. This sequence, given here for 1900–2099, follows

2805-416: The writing of the number 17, in Roman numerals : XVII. By shuffling the digits of the number one can get the Latin vīxī ("I have lived", implying death at present), an omen of bad luck. In fact, in Italy, 13 is generally considered a lucky number, although some people may consider 13 an unlucky number as well due to Americanization. The 2000 parody film Shriek if You Know What I Did Last Friday

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2860-430: The year 1 CE. There can be no more than three Friday the 13ths in a single calendar year; either in February, March, and November in a common year starting on Thursday (such as 2009, 2015, or 2026) (D) , or January, April, and July in a leap year starting on Sunday (such as 1984, 2012, or 2040) (AG) . In the 2000s, there were three Friday the 13ths in 2009, and two Friday the 13ths in 2001, 2002, 2006, and 2007. In

2915-543: The year are also permanently fixed. Unlike the World Calendar or the International Fixed Calendar (also known as the 13-Month Calendar), there are no individually scheduled intercalary "null" days outside of the traditional 7-day week. Instead, alignment of the weekday cycle with New Year Day is accomplished by using a leap week , which is appended once every 5 or 6 years. In leap years , December becomes

2970-448: Was not invited, arrived as the thirteenth guest, and arranged for Höðr , the god of darkness, to shoot Balder , the god of joy and gladness, with a mistletoe-tipped arrow. Balder died, triggering much suffering in the world, which caused the number 13 to be considered unlucky. The superstition seems to relate to various things, like the story of Jesus 's Last Supper and crucifixion in which there were thirteen individuals present in

3025-477: Was the original format for the mythology. Various forms of a cosmological creation story are provided in Icelandic sources, and references to a future destruction and rebirth of the world— Ragnarok —are frequently mentioned in some texts. According to the Prose Edda and the Poetic Edda poem, Völuspá , the first human couple consisted of Ask and Embla ; driftwood found by a trio of gods and imbued with life in

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