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this the Long Count calendar. The basic unit of the Long Count is a single day, summed up in groups of 20 days. Using the zero symbol and place notation, Long Count dates can record any number of days, creating an infinite and continuing count of time.

      Normally, the numbers in a Long Count record are arranged in a column, with the lowest place at the bottom and higher places above them. The lowest place records the numbers from 1 to 19 that can be written out using bar and dot alone. The second place in Long Count dates records multiples of 20 days.

      The coincidence with the 20-day unit of the 365-day solar calendar perhaps motivated a slight departure from strict place notation and base 20 math in the third position of Long Count dates. Instead of recording multiples of 400 days (20 × 20) that would be expected, the third place records multiples of 360 days (20 × 18). With this innovation, the first three places in the Long Count correspond to units of a day, a cycle of 20 days (the length of a solar year “month” or 260-day cycle day name series), and an approximation of the solar year (360 days). As a result of this innovation, each higher position in a Long Count record approximates multiples of years. The fourth place records 20 cycles of 360 days, or a little less than 20 years; the fifth, 400 cycles of 360 days, or almost 6 years less than four centuries.

      The majority of Long Count dates use only these five positions. In base 20 mathematics, the use of these five positions allowed Mesoamerican people to precisely date any event within a span of almost 8,000 years – far more time than their cultural tradition, or any continuous cultural tradition known anywhere in the world, lasted. In a few extraordinary instances, Classic Maya scribes recorded Long Count dates using positions above the fifth place, arriving at calculations of millions of years.

      Whether using the most highly precise linear calendar, or shorter cycles of 52 years, people throughout this region were able to record cultural traditions and historical events in a common historical framework. They expressed a historical consciousness that continues to the present day. This was facilitated by a tradition of literacy, expressed in multiple forms of script, another of the distinctive forms of practice reflected in the trait list definition of Mesoamerica.

       Writing in the Mesoamerican Tradition

      Writing was a fundamental part of multiple societies in Mesoamerica when Europeans first saw them. The use of writing had a long history, extending back at least to the end of the Middle Formative period. Specialized writing systems created and used by multiple Mesoamerican societies shared a number of fundamental features. Foremost was the strong relationship between writing and other forms of representing information graphically. Mathematical records, among the earliest examples of written texts known, used a uniform set of numeral signs. The dot is the numeral 1, everywhere; it does not change its value, and no Mesoamerican writing system requires use of a different symbol for the numeral 1. Numbers are expressed in base 20 in all the known scripts of the region.

      This uniform graphical numeral system is combined with other systems of signs that stood for whole concepts, words, and sounds. The signs used vary from one language and writing tradition to another, which makes sense given the vastly different languages being recorded, each with different sounds and grammatical structures. All Mesoamerican systems of signs for text are to some degree pictographic: the signs are derived from drawings of things. Some writing systems, such as those employed at Teotihuacan in the Postclassic Mixtec codices of Oaxaca and by the Mexica, use pictographic signs that are consistently clear images of objects (see Chapters 9, 10, and 13). Over the long history of other writing systems, like that of the Maya (extending from before 200 BCE to the mid-sixteenth century CE), graphic images that formed the basis for text signs might be highly conventionalized, making it difficult for a modern viewer not steeped in the original visual environment to initially see the representational relationship between a sign and the sound, word, or concept for which it stood. Yet it is possible in many cases to demonstrate how an image was transformed into a textual sign.

      The abstraction of some designs carved on Early Formative pottery (Chapter 3) can be seen either as extreme conventionalization of a common image or as the kind of abstraction that was the basis for converting some images to service as text signs. Researchers identify groups of abstract, conventionalized, pictographic images as texts in later Mesoamerican societies specifically because they follow rules for arrangement of signs in a linear reading order. Scholars see the linear order of signs in texts as intended to represent a sequence of words whose grammatical order helps to convey meaning. To ensure that a sequence of signs would be reproduced, graphic devices that coached viewers to review text signs in a particular order were necessary so that actors, actions, and the objects of actions could be made clear without the visual context that makes these relationships clear in a drawing showing an event (Chapter 10).

      In the Maya writing system, for example, texts were arranged in columns, double columns, or rows, within a regular grid structure joining signs in reading order. Once a reader learned the rules of order, they could follow the signs in any Maya text. On carved monuments, texts might be further set off by being raised in higher relief or incised in lower relief. In drawings, including those in the Postclassic Maya codices, texts might be separated from each other by lines outlining a text and related image. In Postclassic Mixtec codices columns of images and texts are separated by lines that lead readers down, across, and up the pages that fold out, one after another, into a single continuous sheet. Formative Period images have no conventional linear reading order and thus are not interpreted as texts. But they, and later nontext images, can still be read as conveying messages, as iconography, literally, “writing with images” (Chapter 3).

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