THE ANCIENT NATIVE CALENDAR
 NATIVE CALENDAR CONCEPTUAL CONFIGURATION
The illustration below represents a calendar of one Earth year and has 365 divisions, one for each day. The divisions are bundled in groups of twenty, of which there are eighteen. Five days remain. New Year’s day is arbitrarily positioned in relationship to the four seasons. The start of a new year can be any day deemed appropriate for that purpose (equinox, solstice, helical risings, etc.). On this calendar, the first day of the New Year coincides with the Vernal Equinox.
Logical Method 365 Calendar

AZTEC/TOLTEC CALENDAR  >  Logical Method
  
What is a logical method?   If you are not sure, then know that it is a method or activity that produces a predictable pattern or sequence.  Predictability follows a logical pattern. Understanding the logic underlying a pattern is key to the accuracy of its predictability; or not.  Many folks believe that the Indian used a method to produce 360 distinct day-names. But, no one is certain of its makeup. To answer this important question, a close look at an eyewitness report eliminated all possibilities but one when viewed in perspective.

The flood of treasure-hunters that immigrated to the new world, after the siege of Tenochtitlan 1521, had little use for Native time-management, imposing their own.   The European civil system supplanted the Native system, which was paved over.  Diego Duran, who arrive in 1543 at age six and grew up with nahua playmates, became fluent in the indigenous culture very early, embodying "little Spanish-Indian boy."  Even he didn't fully grasp the local day-counting methods, but his observations do offer a small glimpse with big implications.  What the confused description of events inadvertantely show is: whatever logical method that the Natives did apply, numbers were being employed to define the civil weekday.
 

From:
The Book of Rites & Gods and the Ancient Calendar   by  Diego Duran
Page 394:
In ancient times the year was composed of eighteen months, and thus it was observed by these indian people. Since their months, were made up of no more than twenty days, these were all the days contained in a month, because they were not guided by the moon but by the days; there fore, the year had eighteen months. The days of the year were counted twenty by twenty.

Each of the twenty days of the month had its name and symbol to designate each day. This is similar to the way in which we name the days of the week: Monday, Tuesday, Wednesday, and so forth. In this same manner the people indicated the twenty days of their month, in the order which is shown in our illustration [Plate 36]. It is well to give the names of these symbols. They are: Cipactli, which was the first figure and which means Head of Serpent. And when [the people] called it a head, I think that they understood it to be the beginning of the month, or its first day. The second day was called Wind; the third, House; the fourth, Lizard; the fifth, Serpent; the seventh, Deer; the eighth, Rabbit; the ninth, Water; the tenth, Dog; the eleventh, Monkey; the twelfth, Wild Grass; the thirteenth, Reed; the fourteenth, Jaguar; the fifteenth, Eagle; the sixteenth, Buzzard; the seventeenth, Motion; the eighteenth, Flint Knife, nineteenth, Rain; and the twentieth and last, Flower.

“At the beginning of each month, on the day which we have called Head of Serpent, a most solemn feast , as we shall see later in the description of the calendar...

“Everyone knows that the year is made up of three hundred sixty-five days.  But the number of these days divided into twenties makes up eighteen scores. These were the months of the years, but the five days which were left over were held by this nation to be unlucky, nameless, and profitless.  Thus they remained as blanks; there were no symbols for them, or number[s].  And so they were called nemontemi, which means "days left over and profitless."  These fell at the end of February, on the twenty-fourth, the day of the glorious Saint Matthias, in the month when we ourselves adjust the year.   The natives also observed this day, and thus the year ended and a new year began...

"Aside from giving names to the days of the month, these twenty symbols, or characters, were used for telling the fortune of those born on them...

"The symbols representing each day of the month functioned as letters.  In general, these painted characters were used as picture writing, describing native history and lore, memorable events in war, victories, famines and plagues, prosperous and adverse times.

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Page 360:
  Native Days and Numbers
from Duran's exhibits:
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    Native Days and Numbers
..
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Page 187:

And thus the feast of knights and noblemen was held in honor of their god the Sun, and was called Nauholin, which means Four Motion. With this name it was solemnized according to the high position of the persons whose feast it was. The feast was celebrated twice a year: the first time on March 17 and the other [260 days later] on the second day of December - that is, on the two occasions on which the number Four Motion or Movement fell in the year. To better understand this, it is necessary to know that the native week covered a thirteen-day period and after the thirteen days had terminated, the count from one to thirteen began again. The months contained only twenty days, and for each of twenty a sign was designated. These signs were twenty, each having its own, just as we say Monday, Tuesday, and so forth. This way the days of the month were indicated, and among them was the sign ollin, in the form of a butterfly. When this sign (counting, as they did, the weeks by thirteen) fell on the number four (which occurred only twice a year), the feast called Four Motion was celebrated splendidly, as we shall see."

20 x 13 = 260The fact that the event is mentioned to have occurred twice a year, 260 days apart, may indicate that this is a regular annual event with the start point calibrated from a recurring astronomical event.  A full consideration of the eyewitness' statements shows that is not the case, from which some confusion has prevailed.  The over-riding reality is that the event was recurring on a 260 day interval; not characteristic of a xiuhpohualli.

From a New Year day of March 1, Duran's account noted the date of March 17 for Nahiolin [aka: Nahui Ollin] following the Spring equinox by 6 days.   (see footnotes for details) The Julian calendar was in use at that time.  This would be March 27 on the Gregorian calendar.           
             Nahui Ollin per Duran

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Note:                                                              
  1. The Julian calendar was being referenced by Spanish

      friars. For Gregorian equivalent, add 10 days.             
  2. The year 1571 is an arbitrary date. It was during the
 
      working years of the first chroniclers whose journals   .
      were compiled over the course of many years.          .


Based on Duran's comments regarding 4 Motion and from the diagrams to the right, it becomes obvious that the only time that 4-Ollin would fall on the days this eyewitness has indicated would be the first occurrence after the Native New Year.  That means he was onhand to observe the "trecenas" of the New Fire ceremony at the beginning of the seventeenth cycle.  This would place the Julian date at 1571.   It is important to understand that the word "trecena" being used to describe a 13-days cyle, in reality is "trece  cena" a two word Spanish phrase meaning 13 banquets or feasts.  Look it up in any Spanish/English dictionary.  It relates to the xiuhmolpilli and "Binding of a Complete Bundle of Years" that took place every 52 years.

All indicators point to a logical systematic way for a Native to keep an appointment.   Since the days of the "metzli" were designated by symbol, the only thing undefined are the eighteen numbers.   On currently available codices where a time designation was intended only the tonalmatl was cited.  The documents were spiritual in nature.  The 20 x 13 combo offer zero ability to have 360 distinct day-name combinations as required by the xiuhpohualli.

Because it is not specifically spelled out by obvious example, for convenience, the European mind tries to make the Native day-counting scheme fit the familiar month/day model.   Fortunately, the year-counting scheme of the 52 years xiuhmolpilli was detailed beyond refute and bears scant resemblance to European schemes.  But, it does offer a glimpse of the logical method of naming the years. (illustration below)

The Natives were utilizing a logical method to distinguish 360 uniquely designated days, as with the 260 count.  According to eyewitness, in the case of the tonalpohualli, symbols are used as "week"-signs with the days being represented as dots (i.e.: numbers).  But, in order to have 360 distinct day-tags that were composed of the same symbols and dots, and since the symbols were used for the days, there is only one way to configure the remaining variable of 18 numbers.  Here lay the criteria for the "analogous form" that could be represented as a mechanical gear array.  To define a configuration that best matched the given criteria, and through testing would prove or deny any inherent validity of its analogy.            
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260 - day Recurring

   Page 359:
            Nexiuhilpiliztli - Completed Binding of a Perfect Circle of Years
               Naming the Years => Xiuhmolpilli - 52 years cycle
                 Xiuhmolpilli - 52 years cycle => Naming of the Years
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                             For =>  Aztec Calendar animation  <=  Click here!


Anyone who has researched the Native calendar is confident that some kind of scheme to distinguish 360 days to, at the very least, keep a business appointment or write a legal
contract, was in use. The logical method was so unfamiliar and obscure to the immigrant 20 x 18 = 360influx, that they burned the Native papers and imposed the Julian system. By a thorough reflection on the words of a uniquely qualified human being who experienced a rendevous with destiny, any interested researcher can approach an adequate explanation. The Logical Method that fits the overall criteria is the mechanics by which the animated Aztec Calendar is based.  It is a single solution that best fits the given criteria.
(20 x 13) . (18 x 20)


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Page 412 (footnote):

  1 Duran places the beginning of the Mexica year on  March 1,  whereas Sahagun states that it is February 2.*   According to Duran’s calculation the Aztec year would end on February 28, and on  February 29 in leap years.   It is curious that Fray Diego accepted February 28 as the final day of
the Aztec year, a calculation that adjusts neatly to European system of regular and leap years.

Duran Native Calendar

* There are 27 days between Sahagun's February 2  &   Duran's March 1

Sahagun Native Calendar

 



References
:

    The Book of Rites & Gods and the Ancient Calendar
                      by Friar Diego Duran,  1581;  translated from Spanish
                            Norman, Oklahoma: University of Oklahoma Press; 1971

    Aztec Calendar Handbook
                       by Dr. Randall C. Jimenez, Richard B. Graeber, 4th Ed. 2006;                              Saratoga, California: Creative Media Publishing Corporation