1. Class 24 Document 17b and calendar systems 11 toctli1 Miaquiztli7 Minalli 5770 2 Kislev2455154.5 6 November 2009 12.19.16.15.122009323 218 Brumaire III du Nonidi

2. redditum --Document no. 17b In n[om]i[n]e s[an]c[t]e et individue trinitatis am[en]. Q[uonda]m oblivioni et calumpnie nichil efficati[us] adv[er]satur q[ua]m scriptura et operationis s[an]c[t]e propositum nulla debet occasio impedire: hui[us] siquidem rationis intiutu ad perpetuendam memoriam donationis et elemosine mee formam eius scripto decreuim[us] annotandam. calumpnie: 1 st dec. s. dat. fem. w/ adversatur occasio: 3 rd dec. s. nom. fem. w/ nulla, subject of debet perpetuendam: gerund, acc fem s. w/ ad; from perpetuendam elemosine: 1 st dec. s. gen. w/ mee and donationis

3. Genealogical Dates DD ates, together with names, are the building blocks of “raw” genealogical data UU nfortunately, dates in genealogical texts may not be as simple as one would hope, e.g. 1641 Dn. 10. p.Tr., or 6 calli 1 acatl 6 tecpatl  TT hree common systems have been used to date events: rituallunarsolar

4. The Aztec Calendars Tonalpohualli – Ritual Calendar  Two independent cycles that advance simultaneously One cycle of 13 days One cycle of 20 days  Results in a 260 day year of 20 weeks 13 days long

5. Cipactli (Crocodile) Ocelotl (Jaguar) Mazatl (Deer) Xochitl (Flower) Acatl (Reed) Miquiztli (Death) Quiahuitl (Rain) Malinalli (Grass) Coatl (Snake) Tecpatl (Stone Knife) Ozomahtli (Monkey) Cuetzpalin (Lizard) Ollin (Movement) Itzcuintli (Dog) Calli (House) Cozcacuauhtli (Vulture) Atl (Water) Ehecatl (Wind) Cuauhtli (Eagle) Tochtli (Rabbit) Cipactli (Crocodile) -- Ehecatl (Wind) -- Calli (House) -- Cuetzpalin (Lizard) -- Coatl (Snake) -- Miquiztli (Death) -- Mazatl (Deer) -- Tochtli (Rabbit) -- Atl (Water) -- Itzcuintli (Dog) -- Ozomahtli (Monkey) -- Malinalli (Grass) -- Acatl (Reed) -- Ocelotl (Jaguar) -- Cuauhtli (Eagle) -- Cozcacuauhtli (Vulture) -- Ollin (Movement) – Tecpatl (Stone Knife) -- Quiahuitl (Rain) -- Xochitl (Flower) AZTEC WEEKS AZTEC DAY CYCLES 1 – 2 – 3 – 4 – 5 – 6 – 7 – 8 – 9 – 10 – 11 – 12 – 13

6. Xiuhpohualli – Agricultural Calendar  Eighteen months of 20 days each  A five day period ending the year  Results in a 365 day year Atlacacauallo (ceasing of water) -- Tlacaxipehualiztli (flaying of men) -- Tozoztontli (little vigil) -- Hueytozoztli (great vigil) -- Toxcatl (dryness) -- Etzalcualiztli (meal of maize & beans) – Tecuilhuitontli (small feast of the lords) -- Tecuilhuitontli (small feast of the lords) -- Tlaxochimaco (birth of flowers) – Xocotlhuetzin (fall of fruit) & Hueymiccaihuitl (great feast of the dead) – Ochpaniztli (sweeping of the roads) -- Teoleco (return of the gods) -- Tepeihuitl (feast of the hills) – Quecholli (precious feather) -- Panquetzaliztli (raising of the banner) -- Atemoztli (water descends) – Tititl (stretching) -- Izcalli (resuscitation) – [Nemontemi (empty days)] AZTEC MONTHS

7.  Years (xihuitl) are taken from the tonalpohualli day name that corresponds to the last day of the last month of the xiuhpohualli AZTEC YEARS  Calli, Tochtli, Acatl, and Tecpatl are the only mathematical possibilities. E.g.. 1 Rabbit, 8 Reed, 13 House  The xiuhpohualli continued for a 52 year cycle [xiuhmolpilli], the period necessary for it and the tonalpohualli to coincide

8. Other Calendars of Significance to Your Work Hebrew* Roman Julian Gregorian French Republican Quaker* * Will not see text in Latin

9. Hebrew Calendar -- Lunisolar 1. yom rishon (Sunday) 2. yom sheni (Monday) 3. yom sh'lishi (Tuesday) 4. yom revi'i (Wednesday) 5. yom chamishi (Thursday) 6. yom shishi (Friday) 7.Shabbat 1.Nisan (30 days) 2.Iyyar (29 days) 3.Sivan (30 days) 4.Tammuz (29 days) 5.Av (30 days) 6.Elul (29 days) 7.Tishri (30 days) 8.Cheshvan (29 or 30 days) 9.Kislev (30 or 29 days) 10.Tevet (29 days) 11.Sh'vat (30 days) 12.Adar (29 days) Days of the WeekMonths of the Year When Adar enters, joy increases

10. JEWISH MONTHS  The Jewish month is based on the lunar or synodic month.  Since the exact duration of one revolution is a little over 29.5 days, the length of the months normally alternates between 29 and 30 days.  A month of 30 days is called male ('full'), one of 29 days chaser ('defective'). There are two months, Cheshvan and Kislev, which are male in some years and chaser in others.  The first day of each month (with the exception of Rosh Hashana) is Rosh Chodesh (lit. 'head of the month') - and so is the thirtieth day of the preceding month, if there is one.  For example, if a gravestone inscription mentions the first day of Rosh Chodesh Elul, the calendar date 30 Av is meant.

11. JEWISH YEARS  An ordinary year consists of twelve months  When Cheshvan has 29 days and Kislev 30, it is “regular”  If both have 30 days, it is “complete” or “excessive”  If both have 29 days it is “defective”  Thus, an ordinary year can have 353, 354 or 355 days, and a leap year 383, 384, or 385 days  Count begins with the Creation, 3760 BCE  What is the problem?

12. AA lunar year of 354 days is about 11 days shorter than the solar year II f the Jewish calendar were based exclusively on the lunar year, Pesach (15 Nisan) would fall in the spring in one year, in the winter a few years later, etc. TT he Tora says that Pesach must be celebrated in the spring: ד הַיּוֹם, אַתֶּם יֹצְאִים, בְּחֹדֶשׁ, הָאָבִיב (Shemot 13:4)  s o the average length of the Jewish year must be adjusted to the solar year. This is achieved by adding an entire month about every three years in a 19 year cycle. II n each cycle of 19 years, the 3rd, 6th, 8th, 11th, 14th, 17th and 19th years are leap years, the others are common years. 30+29+30+29+30+29+30+29+29+29+30+29=353 (deficient common year) 30+29+30+29+30+29+30+29+30+29+30+29=354 (regular common year) 30+29+30+29+30+29+30+30+30+29+30+29=355 (complete common year) 30+29+30+29+30+29+30+29+29+29+30+30+29 =383 (deficient leap year) 30+29+30+29+30+29+30+29+30+29+30+30+29 =384 (regular leap year) 30+29+30+29+30+29+30+30+30+29+30+30+29 =385 (complete leap year) Mathematics LEAP YEARS

13. Length in a Namedeficient yearregular yearcomplete year Tishri30 Heshvan29 30 Kislev2930 Tevet29 Shevat30 (Adar I30 30) Adar II29 Nisan30 Iyar29 Sivan30 Tammuz29 Av30 Elul29 Total:353 or 383354 or 384355 or 385 Composite Calendar

14. JEWISH NEW YEAR  The new year ( Rosh Hashanah [or Rosh Hashana ]) falls on Tishri 1, which falls at the mean conjunction (new moon) of Tishri, except in the case of a “postponement” 1. If the mean conjunction is at midday or after, then Rosh Hashanah is delayed by a day 2. Rosh Hashanah cannot fall on a Sunday (as this would make Hoshanah Rabba fall on Saturday) or Wednesday or Friday (as this would make Yom Kippur fall adjacent to the Sabbath) 3. If Rosh Hashanah falls on a Tuesday and the mean conjunction of Tishri for the following year is to fall after midday, application of the previous two rules would result in delaying the following Rosh Hashanah from Saturday until Monday and would cause an unacceptable year length of 356 days; instead, this year's Rosh Hashanah is delayed until Thursday 4 Rosh Hashanah on Monday after a leap year can cause the finishing year to be too short, so Rosh Hashanah is delayed until Tuesday

15. The Traditional European Calendar  With the exception of some religious groups, most Europeans have used a solar calendar  The Julian calendar was used from Roman times and was replace by the Gregorian calendar. The two calendars differ only in their treatments of leap years  Purpose of the conversion was to put dates back in sync with observable positions of the sun and to keep them there  Why was there a meaningful problem?

16. The Problem -- Easter  Associated by the Council of Nicea with the vernal equinox Vernal equinox was defined as 21 March  Even with a leap year, the Julian calendar was “off” by 11 min.  Over 1300 years this amounted to a 10 day variance

17. The Solution  Ten days were dropped from the year as an one time event  Centennial years not divisible by 400 would not be leap years The New Problem –a Divided Orthodox Faith and Heterodox Christianity  Protestant groups adopted the new calendar slowly  Major challenges to research: Where? When?

18. How do you tell the difference?  All dates before 1582 are not Gregorian  By 1752, most dates are Gregorian  For the period 1583-1752 there is a potential problem The system is overtly stated  Nun folgen die Kinder die nach dem Neuen Calendar getaufft worden  N.S (Neustil / New style) The system is implicitly stated  Check day of the week on a perpetual calendar  Check for religious holidays on a perpetual calendar i.e. Pentecost can only occur on a Sunday  Check conversion chart in text

19. Converting a Date Julian to Gregorian (+) – Gregorian to Julian (-) For dates through 28 February 1700add 10 days 28 February 1800add 11 days 28 February 1900add 12 days 28 February 2100add 13 days 07 August 1956 to Julian 1956 8 07[July has 31 days] -13 19567 25

20. Determining the Year  New Year’s Day has not always been 1 January Christmas, 25 December (esp. before 1400) Easter (Vernal Equinox) 25 March (esp. UK areas through 1752)  Need to review the register to see which month is the first under each year H[ic] s[epultus] e[st] the body of Tho[mas] the sonn of Tho[mas] Lambert gent[leman] who was borne May Y 13 An[no] Do[mini] 1683 & dyed Feb[ruary] 19 the same year

21. Example Benjamin Franklin b. 17 January 1706; d. 17 April 1790 Julian dates, b. 06 January.; d. 06 April If born in Boston, a Catholic area New Years Day = 01 January If born in Philadelphia New Years Day = 25 March b. 1706 or 1705; d. 1790

22. Perpetual Calendar Indicies  Julian and Gregorian calendars do not vary in the number of months per year, nor in the number of days per month.  The same 14 calendars apply to both systems, therefore; but the systems do not use the same calendar for any given year  Which calendar you need to consult is indexed in your text

23. Perpetual Calendar Calendars are not the same every year, since 365/366 is not divisible by 7 2001 January 01 = Monday 2002 January 01 = Tuesday 2003 January 01 = Wednesday How many are possible?

24. Perpetual Calendar no. 2 of 14

25. The Church Calendar  Sometimes dates in genealogical texts are recorded according to the church calendar 1641 Dn. 10. p.Tr  Most feast days are fixed. See text p. 62-155  Many of the major feasts are “moveable” i.e. they do not occur on the same day every year. Their date is relative to another event or feast e.g. Corpus Christi day is the Thursday after Trinity, which is the first Sunday after Pentecost, which is the seventh Sunday after Easter. Easter is the first Sunday after the first full moon that occurs on or after the vernal equinox.

26. Easter Easter is celebrated on the first Sunday after the first full moon that occurs on or after the vernal equinox The dates of historical Easters have been calculated and are present as a chart in your text Some variations in calculating when there was a full moon led to different dates for Easter. This occurred primarily in Protestant Denmark, Finland, Germany, and Sweden.

27. 1641 Dominica 10 post Trinitatis 10 Sundays after Trinity, which is 1 Sunday after Pentecost, which is 7 Sundays after Easter, which in the Julian calendar of 1641 was 25 April Equals 10 Sundays + 1 Sunday + 7 Sundays after 25 April, or 29 August, 1641 Karl Nilsson, baptized “Oculi 1750” in Sweden Oculi = 4 th Sunday before Easter Sweden converted to Gregorian calendar in 1753 Julian date for Easter 1750 was 14 April, but 1750 was a variant year for Sweden: 18 March Calendar #2 is indexed for 1750. Counting back, 4 th Sunday before Easter was 18 February Examples