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Symmetry454
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. Calendar year The proposed calendar is laid out as follows: : The last 7 days of December, shown in grey, are intercalary days that are appended only to the end of leap years. 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 is why it is named Symmetry454. Balanced quarters are desirable for businesses because they ...
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Symmetry454
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. Calendar year The proposed calendar is laid out as follows: : The last 7 days of December, shown in grey, are intercalary days that are appended only to the end of leap years. 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 is why it is named Symmetry454. Balanced quarters are desirable for businesses because they ...
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Perennial Calendar
A perennial calendar is a calendar that applies to any year, keeping the same Calendar date, dates, weekdays and other features. Perennial calendar systems differ from most widely used calendars which are annual calendars. Annual calendars include features particular to the year represented, and expire at the year's end. A perennial calendar differs also from a perpetual calendar, which is a tool or reference to compute the weekdays of dates for any given year, or for representing a wide range of annual calendars. For example, most representations of the Gregorian calendar year include weekdays and are therefore annual calendars, because the weekdays of its dates vary from year to year. For this reason, proposals to perennialize the Gregorian calendar typically introduce one or another scheme for fixing its dates on the same weekdays every year. History and background The term ''perennial calendar'' appeared as early as 1824, in the title of Thomas Ignatius Maria Forster's ''Pere ...
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Calendar Reform
Calendar reform or calendrical reform is any significant revision of a calendar system. The term sometimes is used instead for a proposal to switch to a different calendar design. Principles The prime objective of a calendar is to unambiguously identify any day in past, present and future by a specific date in order to record or organize social, religious, commercial or administrative events. Recurring periods that contain multiple days, like weeks, months and even years, are secondary, convenient features of a calendar. Most cultures adopt a primary dating system, but different cultures have always needed to align multiple calendars with each other, because they coexisted in the same space (e.g. secular and religious groups with different demands) or had established trading relations. Once specified, a ''calendar design'' cannot be altered without becoming a new design. If a proposed design is sufficiently close to the legacy one, i.e. compatible with it, a ''reform'' of t ...
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Leap Week
A leap week calendar is a calendar system with a whole number of weeks in a year, and with every year starting on the same weekday. Most leap week calendars are proposed reforms to the civil calendar, in order to achieve a perennial calendar. Some, however, such as the ISO week date calendar, are simply conveniences for specific purposes. The ISO calendar in question is a variation of the Gregorian calendar that is used (mainly) in government and business for fiscal years, as well as in timekeeping. In this system a year (ISO year) has 52 or 53 full weeks (364 or 371 days). Leap week calendars vary on whether the concept of month is preserved and whether the month (if preserved) has a whole number of weeks. The Pax Calendar and Hanke–Henry Permanent Calendar preserve or modify the Gregorian month structure. The ISO week date is an example of a leap week calendar that eliminate the month. A leap week calendar can take advantage of the 400-year cycle of the Gregorian calendar, ...
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Solar Calendar
A solar calendar is a calendar whose dates indicate the season or almost equivalently the apparent position of the Sun relative to the stars. The Gregorian calendar, widely accepted as a standard in the world, is an example of a solar calendar. The main other type of calendar is a lunar calendar, whose months correspond to cycles of Moon phases. The months of the Gregorian calendar do not correspond to cycles of the Moon phase. The Egyptians appear to have been the first to develop a solar calendar, using as a fixed point the annual sunrise reappearance of the Dog Star—Sirius, or Sothis—in the eastern sky, which coincided with the annual flooding of the Nile River. They constructed a calendar of 365 days, consisting of 12 months of 30 days each, with 5 days added at the year’s end. The Egyptians’ failure to account for the extra fraction of a day, however, caused their calendar to drift gradually into error. Examples The oldest solar calendars include the Julian calendar a ...
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4–4–5 Calendar
The 4–4–5 calendar is a method of managing accounting periods, and is a common calendar structure for some industries such as retail and manufacturing. It divides a year into four quarters of 13 weeks, each grouped into two 4-week "months" and one 5-week "month". The longer "month" may be set as the first (5–4–4), second (4–5–4), or third (4–4–5) unit. Its major advantage over a regular calendar is that each period is the same length and ends on the same day of the week, which is useful for planning manufacturing or work shifts. A disadvantage is that comparisons or trend analysis by "month" are flawed, as one month is 25% longer than the other two (whereas comparisons between weeks or to the same "month" in the previous year are still useful). Another disadvantage is that the 4–4–5 calendar has only 364 days (7 days x 52 weeks), meaning a 53rd week must be added every five or six years: this can make year-on-year comparison difficult. 52–53-week fiscal yea ...
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Proposed Calendars
Proposal(s) or The Proposal may refer to: * Proposal (business) * Research proposal * Proposal (marriage) * Proposition, a proposal in logic and philosophy Arts, entertainment, and media * ''The Proposal'' (album) Films * ''The Proposal'' (1957 film), an Australian television play based on Chekhov's 1890 play * ''The Proposal'' (2001 film), starring Nick Moran, Jennifer Esposito, and Stephen Lang * ''The Proposal'' (2009 film), starring Sandra Bullock and Ryan Reynolds * ''The Proposal'' (2022 film), starring Joe Joseph and Amara Raja * " La propuesta" ("The Proposal"), a short story in the 2014 Argentina anthology film ''Wild Tales'' Literature * ''Proposals (play)'', a 1997 play by Neil Simon * ''The Proposal'' (novel), 1999 and 35th book in the ''Animorphs'' series by K.A. Applegate * ''The Proposal'', alternative title of Chekhov's 1890 play ''A Marriage Proposal'' Television * ''The Proposal'' (American TV series), a 2018 reality dating series * The Proposal (Aust ...
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Maximal Evenness
In scale (music) theory, a maximally even set (scale) is one in which every generic interval has either one or two consecutive integers specific intervals-in other words a scale whose notes (pcs) are "spread out as much as possible." This property was first described by John Clough and Jack Douthett. Clough and Douthett also introduced the maximally even algorithm. For a chromatic cardinality ''c'' and pc-set cardinality ''d'' a maximally even set is D = where ''k'' ranges from 0 to ''d'' − 1 and ''m'', 0 ≤ ''m'' ≤ ''c'' − 1 is fixed and the bracket pair is the floor function. A discussion on these concepts can be found in Timothy Johnson's book on the mathematical foundations of diatonic scale theory. Jack Douthett and Richard Krantz introduced maximally even sets to the mathematics literature. A scale is said to have Myhill's property if every generic interval comes in two specific interval sizes, and a scale with Myhill's property is said to be a well-formed scale ...
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Modulo Operation
In computing, the modulo operation returns the remainder or signed remainder of a division, after one number is divided by another (called the '' modulus'' of the operation). Given two positive numbers and , modulo (often abbreviated as ) is the remainder of the Euclidean division of by , where is the dividend and is the divisor. For example, the expression "5 mod 2" would evaluate to 1, because 5 divided by 2 has a quotient of 2 and a remainder of 1, while "9 mod 3" would evaluate to 0, because 9 divided by 3 has a quotient of 3 and a remainder of 0; there is nothing to subtract from 9 after multiplying 3 times 3. Although typically performed with and both being integers, many computing systems now allow other types of numeric operands. The range of values for an integer modulo operation of is 0 to inclusive ( mod 1 is always 0; is undefined, possibly resulting in a division by zero error in some programming languages). See Modular arithmetic for an older and related c ...
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Leap Year
A leap year (also known as an intercalary year or bissextile year) is a calendar year that contains an additional day (or, in the case of a lunisolar calendar, a month) added to keep the calendar year synchronized with the astronomical year or seasonal year. Because astronomical events and seasons do not repeat in a whole number of days, calendars that have a constant number of days in each year will unavoidably drift over time with respect to the event that the year is supposed to track, such as seasons. By inserting (called '' intercalating'' in technical terminology) an additional day or month into some years, the drift between a civilization's dating system and the physical properties of the Solar System can be corrected. A year that is not a leap year is a common year. For example, in the Gregorian calendar, each leap year has 366 days instead of 365, by extending February to 29 days rather than the common 28. These extra days occur in each year that is an integer multipl ...
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World Calendar
The World Calendar is a proposed reform of the Gregorian calendar created by Elisabeth Achelis of Brooklyn, New York in 1930. Features The World Calendar is a 12-month, perennial calendar with equal quarters. Each quarter begins on a Sunday and ends on a Saturday. The quarters are equal: each has exactly 91 days, 13 weeks, or 3 months. The three months in each quarter have 31, 30, and 30 days respectively. Each quarter begins with the 31-day months of January, April, July, or October. The World Calendar also has the following two additional days to maintain the same new year days as the Gregorian calendar. ; Worldsday : The last day of the year following Saturday 30 December. This additional day is dated "W" and named Worldsday, a year-end world holiday. It is followed by Sunday, 1 January in the new year. ; Leapyear Day : This day is similarly added at the end of the second quarter in leap years. It is also dated "W" and named Leapyear Day. It is followed by Sunday, 1 July ...
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