Symmetry454

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The Symmetry454 Calendar (Sym454) is a proposal for Gregorian calendar reform. Is a perpetual solar calendar that conserves the traditional 7-day week, has symmetrical equal quarters, and starts every month on Monday.

Contents 1 The Symmetry 454 Calendar Year 2 Leap Rule 3 Calendar Arithmetic 4 Easter on a fixed date 5 External links 6 References

[edit] The Symmetry 454 Calendar Year

The proposed calendar is laid out as follows.
(The last 7 days of December are intercalary days that are appended only to the end of leap years.)

1st Quarter	January mon tue wed thu fri sat sun 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28	February mon tue wed thu fri sat sun 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35	March mon tue wed thu fri sat sun 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28
2nd Quarter	April mon tue wed thu fri sat sun 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28	May mon tue wed thu fri sat sun 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35	June mon tue wed thu fri sat sun 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28
3rd Quarter	July mon tue wed thu fri sat sun 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28	August mon tue wed thu fri sat sun 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35	September mon tue wed thu fri sat sun 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28
4th Quarter	October mon tue wed thu fri sat sun 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28	November mon tue wed thu fri sat sun 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35	December mon tue wed thu fri sat sun 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35

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The idea of months having 4 or 5 whole weeks is not new, but was 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 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.

All holidays, birthdays, anniversaries, etc. are permanently fixed. All ordinal day and week numbers within the year are also permanently fixed.

[edit] Leap Rule

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 6 or 5 years. In leap years, December becomes a 5-week month. The leap week is shown in grey text in the above calendar year.

The preferred Symmetry454 leap rule is based on a 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 + 166 ) / 293 is less than 52.

This expression inherently causes leap year intervals to fall into sub-cycle patterns of (6+6+5) = 17 years or (6+5) = 11 years, which further group to: 4×(17+17+17+11) + (17+17+11) = 4×62+45 = 293 years.

The 52/293 leap cycle has a calendar mean year of 365+⁷¹/₂₉₃ 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).

[edit] Calendar Arithmetic

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 the public domain for royalty-free computer implementation.

Officially, Symmetry454 has been running since January 1st, 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 1st, 1 AD.

[edit] Easter on a fixed date

Tentatively, Sunday the 7th of April on the Symmetry454 Calendar is proposed as a fixed date for Easter, based on a frequency analysis of the distribution of the Gregorian or Astronomical Easter dates. There are only a few dates that Easter can possibly land on within the Symmetry454 Calendar, because only day numbers divisible by 7 can be a Sunday. The 3 highest-frequency dates upon which Easter can land are March 28th, April 7th, and April 14th. Selecting the middle date, April 7th, would fix Easter at its median position within its distribution range.

[edit] External links

• The Symmetry454 Calendar (full specifications, FAQs, arithmetic)
• The Kalendis Calendar Calculator (freeware)
• The Lengths of the Seasons (numerical integration analysis)
• Solar Calendar Leap Rule Studies (shows why the 52/293 leap rule is preferred)
• SymISO (a free Gregorian, Symmetry454 and ISO date converter)

[edit] References

• "Designs for a new year", in the "Innovators" section of the Toronto Star newspaper, Friday, December 24, 2004, page A3, by reporter Peter Gorrie.
• The Symmetry454 Calendar was described in an article by reporter Jennifer Viegas of Discovery News at the end of December 2004.