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The tōnalpōhualli ("day count") consists of a cycle of 260 days, each day signified by a combination of a number from 1 to 13, and one of the twenty day signs. With each new day, both the number and day sign would be incremented: 1. Crocodile is followed by 2. Wind, 3. House, 4. Lizard, and so forth up to 13. Reed.
Thus, within a 400-year cycle: 27 week years are 5 days longer than the month years (371 − 366), 6.75%. 44 week years are 6 days longer than the month years (371 − 365), 11%. 70 week years are 2 days shorter than the month years (364 − 366), 17.5%. 259 week years are 1 day shorter than the month years (364 − 365), 64.75%.
The modern Chinese names for the days of the week are based on a simple numerical sequence. The word for "week" is followed by a number indicating the day: "Monday" is literally the "Stellar Period One"/"Cycle One", that is, the "First day of the Stellar Period/Cycle", etc.
A full calendar system has a different calendar date for every day. [20] [21] Thus the week cycle is by itself not a full calendar system; [22] neither is a system to name the days within a year without a system for identifying the years. The simplest calendar system just counts time periods from a reference date. [23]
The day of the week can be easily calculated given a date's Julian day number (JD, i.e. the integer value at noon UT): Adding one to the remainder after dividing the Julian day number by seven (JD modulo 7 + 1) yields that date's ISO 8601 day of the week. For example, the Julian day number of 19 January 2025 is 2460695.
Intercalation was supposedly used to avoid such coincidences, even after the Julian reform of the calendar. The 7-day week began to be observed in Italy in the early imperial period, [62] as practitioners and converts to eastern religions introduced Hellenistic and Babylonian astrology, the Jewish Saturday sabbath, and the Christian Lord's Day.
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For these women, the rhythm method formula incorrectly identifies a few fertile days as being in the infertile period. [19] Roughly 30-50% of women have phases outside this range. [34] Finally, calendar-based methods assume that all bleeding is true menstruation. However, mid-cycle or anovulatory bleeding can be caused by a number of factors. [35]
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