| rdfs:comment
| - The Archetypes Calendar denotes days by means of three numbers, year-month-day, where the day number ranges from 1 through 30, the month number ranges from 1 through 13, and the year number is an integer (-2, -1, 0, 1, 2, 3, ...). Each year has 12 or 13 months, and each month has 29 or 30 days. Most years have 12 months. A year with 13 months is called a long year. More generally, an ARC year numbered y occupies position ((y + 1360) mod Y) + 1 in some ARC period, where Y = 1803. For example, ((4300 + 1360) mod 1803) + 1 = 252, so the year 4300 ARC has position 252 in some ARC period.
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| abstract
| - The Archetypes Calendar denotes days by means of three numbers, year-month-day, where the day number ranges from 1 through 30, the month number ranges from 1 through 13, and the year number is an integer (-2, -1, 0, 1, 2, 3, ...). Each year has 12 or 13 months, and each month has 29 or 30 days. Most years have 12 months. A year with 13 months is called a long year. All odd-numbered months have 30 days and all even-numbered months have 29 days, except that in some years the 10th month has 30 days; such a year is called a leap year (by analogy with leap years in the Common Era Calendar). A long year may also be a leap year and vice-versa. ARC years are grouped into consecutive periods of 1,803 years called ARC periods. The first year in an ARC period has position 1, the second has position 2, and so on up to position 1803. The linear numbering of years is related to the cycles of ARC periods, and to the Julian day number system (and thus to empirical time), as follows: More generally, an ARC year numbered y occupies position ((y + 1360) mod Y) + 1 in some ARC period, where Y = 1803. For example, ((4300 + 1360) mod 1803) + 1 = 252, so the year 4300 ARC has position 252 in some ARC period. The rules for when a year is a long year and when a year is a leap year are as follows, where L1 = 664 and L2 = 350: (i) A year with position p is a long year if and only if ((p*L1) + (Y-1)/2) mod Y < L1. (ii) A year with position p is a leap year if and only if ((p*L2) + (Y-1)/2) mod Y < L2. More clearly, these rules are: (i) A year with position p is a long year if and only if (664*p + 901) mod 1803 < 664. (ii) A year with position p is a leap year if and only if (350*p + 901) mod 1803 < 350. It is possible, but not certain, that rule (ii) might be augmented to specify which even-numbered month (not just the 6th) has an extra day. For example, the the year 4300 ARC has position 252 (as shown above), so taking p = 252 we find that 664*252 + 901 = 168229, and 168229 mod 1803 = 550, which is less than 664, so ARC year 4300 is a long year. Also 350*252 + 901 = 89101, and 89101 mod 1803 = 754, which is not less than 350, so ARC year 4300 is not a leap year. Thus 4300 ARC has 13 months with alternating 30 and 29 days. The names of the first seven months are the same as the classical Greek or Roman names of the deities associated with the seven celestial bodies known to the ancients. The names of the last five are those of deities which can plausibly be associated with the three planets discovered within the last three centuries, namely, Uranus, Neptune and Pluto. The following table gives the names of the months and the number of days in each month. A month consists of three consecutive tweeks. The first two always have 10 days, while the third may have 9 or 10 days, for a total of 29 or 30 days in a month. The days of the tweek are named after the Sun and the planets of the solar system. The order of days in the tweek (corresponding to the distance of the planets from the Sun) is as follows (reading from left to right, that is, Sun Day, Mercury Day, ..., Mars Day, Jupiter Day, ..., Pluto Day): Note that not all tweeks have a Pluto Day, because some final tweeks in a month have only nine days. This completes the definition of the Archetypes Calendar. A note on the origin of this calendar is the origin.
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