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18 Ashm 1931.137: Introduction and Analysis

In Chapter 17 we learned how System S underwent a transformation from curviform to cuneiform during the Akkadian Empire. It should be no surprise that System A also experienced such a shift. To see this in action we will consider the tablet Ashm 1931.137, pictured below in Figure 21.[1] Produced in Kish during the Old Babylonian period (c. 1900-1600 BC), it now resides in the Ashmolean Museum, Oxford, UK.

A rendering of a portion of the tablet Ashm 1931.137. There are three columns of cuneiform System A numerals.
Figure 21. A simplified rendering of the portion of Ashm 1931.137 corresponding to area.

The tablet is a metrological table, meaning that it lists off the different units of measurement. This specific tablet contains more-or-less complete lists for capacity of grain, weight of silver, and area of fields. Figure 21 only shows the part of Ashm 1931.137 related to area.[2] This portion takes up half of the back side of the tablet. Because it is on the back side, these columns are read from right to left.

Other than System A numerals, the tablet has three words on it. These three words are translated below in Table 12.

Table 12. The words present on Ashm 1931.137 related to area.
Symbol Sumerian English
The cuneiform for the word "a."The cuneiform for the word "šà." a-šà the field
The cuneiform for the word "sar." sar garden
 The cuneiform for the word "ganá." ganá field

As discussed before, ganá is a determinative that indicates that System A is being used. The word a-šà, though a synonym for ganá, is included simply to signify that area is being discussed. The final word sar, is a new unit of area that is smaller than any unit specified by ganá. We will discuss sar in more detail in Chapter 19.

Activity 20. Refer to Figure 21, Table 12., and Table 3 to answer the following.

Ashm 1931.137 contains the cuneiform symbols for the following System A numerals. These numerals will also be followed immediately by the symbol for ganá. Using your knowledge of System A determine which cuneiform symbol corresponds to the known curviform symbol and list in them in the table below.

Name Curviform Cuneiform
iku The symbol for an iku or 1. It looks like a small bullet.
èše The symbol for èše.
bùr The symbol for a bur or for an éš. It is a black dot.
bùr’u The symbol for a bur'u. It looks like the symbol for a bur with hash marks placed over it.
šár The symbol for a šár. It is a large black dot.

 

Media Attributions


  1. Rendering based on the drawing by Eleanor Robson, "Mathematical Cuneiform Tablets in the Ashmolean Museum, Oxford," SCIAMVS, 5 (2004), 30-35.
  2. A high resolution image of both sides of the tablet can be viewed at “SCIAMVS 05, 030-035 No. 19 + Artifact Entry.” Cuneiform Digital Library Initiative (CDLI), (2007) https://cdli.earth/P368260.

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Math History Copyright © by Bradley Burdick. All Rights Reserved.