N16 in the Archaic Texts

CDLB 2006:1

Cuneiform Digital Library Bulletin (ISSN: 1540-8760)

Published on 2006-01-02

© Cuneiform Digital Library Initiative

Creative Commons License This work is licensed under a Creative Commons Attribution 4.0 International License except when noted otherwise and in the case of artifact images which follow the CDLI terms of use.

Keywords
proto-cuneiform, accounting, numeric values, metrology


§1. The sign N16 is scarcely attested in the archaic texts, limited to only the Uruk III/JN period. Until recently, only three attestations were available,[1] all in tablets coming from Uruk and in fragmentary contexts. A few more tablets in which the sign occurs are now available and in much better preserved condition, albeit of uncertain provenance. The scope of the following analysis is to deduce and assess the meaning of this sign.


§2.1. A text that has recently been made available,[2] an almost complete but damaged tablet with an account of barley destined as food (GU7), includes the sign N16 in a partially broken context. The transliteration of the relevant section is provided in the following.[3]

  O0105a ˹6N14˺ 3N1 3N39a ˹1N24 1N28˺ [...]
  O0105b1 ˹6N14˺ 1N24 1N28 ˹ŠU˺ UR5a
  O0105b2 ˹3N1˺ 1N16 TARa


§2.2. Case O0105a registers the total of the quantity of barley listed in case O0105b1, qualified as ŠU UR5a, and the quantity reported in case O0105b2, qualified as “tribute” (TARa). Such “tribute” is usually equivalent to 10% of the value of the relevant transaction (case O0105b1). In terms of N1 = “barig,”[4] we have the following equivalence:

39.75 (total)   = 36.15 (˹ŠU˺ UR5a) + 3 +1N16 (TARa)

which, by calculation, would provide for 1N16 the value 0.6 (= 39.75 - (36.15 + 3)). Since such a quantity is always written 3N39a, as in case O0105a, we have to assume a scribal error in case O0105b2, which should be corrected to:

˹3N1˺ <3N39a> 1N16 TARa,

i.e., in terms of barig, equivalent to 3.6+1N16.


§2.3. Considering that 10% of the quantity in case O0105b1 is

  1/10 × (˹6N14˺ 1N24 1N28)
    = 1/10 × 36.15
    = 3.615 (barig),

it would follow that

  1N16 = 0.015 (barig)


§2.4. As a consequence, the total reported in case O0105a should be restored as

˹6N14˺ 3N1 3N39a ˹1N24 1N28˺ [1N16].

Such calculations will be reviewed below by taking into account the correct value of N16, as resulting from the following textual analysis.


§3.1. CUNES 50-06-203,[5] a well preserved tablet with an account of beer for five months, registers the results of calculations similar to those recorded in the tablet MS 4499. The transliteration of the obverse (the reverse is uninscribed) reads as follows:

  O0101 1N28 ŠEa U4.1N57 KAŠ
  O0102a 1N1 3N39a 1N29a 1N16 U4x1N1 KAŠ
  O0102b1 1N1 2N39a 1N24 U4x1N1
  O0102b2 1N24 1N29a 1N16 TARa
  O0103 1N14 2N1 1N39a 1N24 U4x5N1 KAŠ
  O0104 ABa KAŠ


§3.2. The quantity recorded in case O0101 is a daily ration of beer equivalent to 1/20 (barig) of barley, which is calculated in case O0102b1 over a period of one month (U4x1N1)[6]:

  1N1 2N39a 1N24 = 30 (days) × 1N28
    = 30 × 0.05 (barig)
    = 1.5 (barig)


§3.3. Case O0102b2 records the “tribute” (TARa), equivalent to 10% of the quantity registered in the preceding case O0102b1:

  1/10 × (1N1 2N39a 1N24)
    = 1/10 × 1.5
    = 0.15 (barig)
    = 1N24 1N29a 1N16
    = 0.1 + 0.04 + 0.01
    = 1/10 + 1/25 + 1/100


§3.4. It follows that 1N16 has the value 1/100 “barig.” Consequently, the quantity reported in case O0102a, being the sum of the quantities in cases O0102b1 and O0102b2, results, in terms of barig, in

1N1 3N39a 1N29a 1N16 = 1.65 (barig)

§3.5. Obviously, such a numerical value for the sign 1N16 is much more suitable than the value (0.015) calculated in the previous paragraph, and consequently it shall be assumed that in tablet MS 4499 the value of the “tribute” was rounded off to 3.61 (barig). It follows that the total quantity reported in case O0105a should read

  ˹6N14˺ 3N1 3N39a ˹1N24 1N28˺ [1N16]
    = 36 + 3 + 0.6 + 0.1 + 0.04 + [0.01]
    = 39.75 (barig)


§4.1. The sign N16 occurs in two other archaic tablets of the Cornell University Collection, one of which (CUNES 50-06-217) brings additional evidence for the value of N16 (1/100) obtained above. The other tablet, CUNES 51-10-007,[7] an account of grain groats, registers in case O0102 an amount of groats (1N1 1N24 ˹1N16? HIgunûa˺ ERIN E2a UR2), with the possible occurrence of the sign N16,[8] the value of which, however, cannot be determined from the context.


§4.2. CUNES 50-06-217,[9] a damaged tablet with a mixed account of cereal producs (bread and beer), records a quantity (of bread?), measured in the numerical notation N51, together with the corresponding amount of grain groats. The relevant section reads as follows:

  R0302a 2N51 [...] 1N16
  R0302b ˹2N1 2N39a˺ HIgunûa,

where 1N16 in case R0302a is to be regarded as the reference value for the accounted product.[10] The following equivalences confirm the value 1/100 for the sign 1N16, which represents the equivalent amount of grain groats for a single unit of a small cereal product, probably bread.[11] Thus

  (R0302a) 2N51 [...] 1N16
    = 240 [breads ?] × 1/100 (barig each)

which, in terms of barig, gives

  (R0302b) ˹2N1 2N39a˺ HIgunûa
    = 2.4 (barig of) grain groats


§5. In conclusion, there is sufficient textual evidence available to demonstrate the numerical value of the sign N16, representing the smallest fraction (1/100) of the unity of capacity barig currently known. With such considerations in mind, it is surely of interest to analyze in greater detail the text W 21208,8+. The tablet is a lexical list dealing with cereal products that registers in sequence several kinds of bread, following apparently two criteria. These are typology and size of the products. In the first column, only partially preserved, there are at least three numerical notations, which could denote the size of some standard type of bread, probably by measuring the relevant quantity of cereals needed for their production. It is noteworthy that 1N16 is followed by 1N17, for which a value of 1/200 (barig), corresponding to 1/8 of a liter, seems logically the most appropriate. Since there are presently no other occurrences of the sign N17 in the known archaic tablets, however, the proposed value must be considered hypothetical for the time being, awaiting future textual evidence for its confirmation.


 

Notes

1    The three tablets are W 21385, a two-column fragment with a broken context (O0201: 3N14 [...] ˹1N16?˺ ENa X U4×2N57 [...]), where the traces of the sign rendered as 1N16 allow its reconstruction as NUMUN as well; W 21537, a fragmentary account of possibly grain groats, where the sign N16 occurs in a broken context (R0101: [...] ˹1N30c˺ 1N16 ˹3N57?˺ X ˹HIgunûa?˺ [...]); and ATU 3, pl. 75, W 21208,8+, a fragmentary lexical list, where the signs 1N16 and 1N17 are listed in sequence (O0105-6: 1N1 1N16 / 1N16 1N17).

2     MS 4499, to be published in R. K. Englund, Proto-Cuneiform Texts from the Schøyen Collection (=PCTSC); photographs and transliteration available in the CDLI under no. P006303.

3    The transliteration provided [5 Dec. 2005] in CDLI has ˹SANGAa˺ UR5a in case O0105b1; the reading ˹ŠU˺ UR5a is supported by the parallel sections of MSVO 3, 26 (O0101a / O0102a), CDLI no. P006396 (O0304a / R0101), MS 4496 (O0101), MS 4559 (O0201), CUNES 51-02-001.1 (O0101a / O0102a / O0103a), CUNES 51-10-032 + CUNES 51-10-034 (R0101b1) and CUNES 51-10-007 (O0201) (the last three texts are to be published as CUSA 1 [S. Monaco, The Cornell University Archaic Tablets (=Cornell University Studies in Assyriology vol. 1, forthcoming)], nos. 74, 97 and 172).

4    For the value of the barig cf. fn. 11 below.

5    To be published as CUSA 1, 143.

6    Tablets recording similar calculations are CDLB 2003/4 and CUNES 51-01-098 (=CUSA 1, 114).

7    CUSA 1, 172.

8    There is also an unlikely occurrence in CUNES 51-01-100 (=CUSA 1, 149), which is disregarded in the present analysis because the shape of this and other numerical signs, present in the same case (O0103), do not allow a reliable identification of the signs themselves.

9    CUSA 1, 112.

10    For similar case arrangements and numerical relation-ships in analogous accounting contexts of various kinds of breads and cereal products, cf. the following texts: MSVO 1, 90 (O0206a/O0206b: 1N51 GAR 1N24? / 4N5), MSVO 1, 111 (O0103a/O0103b: 1N51 GAR 1N28 / 1N20), MSVO 3, 3 (O0101a/O0101b; O0103a/O0103b: 2N51 1N30c DU8c ABb EZINUd / 4N5 4N42a; 5N51 1N30c DU8c GIŠxŠU2b SARa / 2N20); MSVO 4, 66 (O0102a/O0102b; O0103a/O0103b; O0104a/O0104b; O0105a/O0105b: 1N51 1N24 / 2N20; ˹1N51˺ 1N26 / 1N20 2N5; ˹2N51˺ 1N34 1N28 / ˹2N20 3N5˺; 5N51 1N29a / 4N20), CUNES 50-08-073.1 (=CUSA 1, 113) (O0101a/O0101b; O0102a/O0102b: 2N51 1N34 3N57 ŠU / 2N5 HIgunûa; 1N51 1N30c GAR / 2N5 2N42 HIgunûa), CUNES 51-06-009 (=CUSA 1, 118) (O0101a/O0101b; O0102a/O0102b: 2N51 ŠEa+GAR 1N29c / 1N20 3N5; 2N51 1N30c ŠEa+GAR / 4N5).

11    Assuming for the barig (N1) a value of approximately 24 liters (according to P. Damerow and R. K. Englund, “Die Zahlzeichensysteme der Archaischen Texte aus Uruk,” in M. W. Green and H. J. Nissen, Zeichenliste der Archaischen Texte aus Uruk [=ATU 2; Berlin 1987] 153-154, fn. 60), 1N16 represents about 1/4 of a liter. It is worth noting that in later periods the minimum value of the rations due to the lowest class of workers (dumu) amounted to 10 sila3 per month (cf S. Monaco, “Parametri e Qualificatori nei testi economici della terza Dinastia di Ur,” OrAnt 24, 21ff.). This value corresponds to a daily ration amounting to 1/3 sila3, equivalent to approximately 1/4 liter (based on a sila3 value of 5/6 liter), i.e., the same value represented by 1N16. Whether such a coincidence implies a continuity in the Mesopotamian administrative ration system of the 3rd millennium shall be left to a study that is beyond the scope of the present analysis.

 


Version: 3 December 2005

Cite this Article
Monaco, Salvatore F. 2006. “N16 in the Archaic Texts.” Cuneiform Digital Library Bulletin 2006 (1). https://cdli.mpiwg-berlin.mpg.de/articles/cdlb/2006-1.
Monaco, S. F. (2006). N16 in the Archaic Texts. Cuneiform Digital Library Bulletin, 2006(1). https://cdli.mpiwg-berlin.mpg.de/articles/cdlb/2006-1
Monaco, S. F. (2006) “N16 in the Archaic Texts,” Cuneiform Digital Library Bulletin, 2006(1). Available at: https://cdli.mpiwg-berlin.mpg.de/articles/cdlb/2006-1 (Accessed: April 13, 2024).
@article{Monaco2006N16,
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	address = {Oxford; Berlin; Los Angeles},
	author = {Monaco, Salvatore F.},
	journal = {Cuneiform Digital Library Bulletin},
	issn = {1540-8760},
	number = {1},
	year = {2006},
	publisher = {Cuneiform Digital Library Initiative},
	title = {N16 in the {Archaic} {Texts}},
	url = {https://cdli.mpiwg-berlin.mpg.de/articles/cdlb/2006-1},
	volume = {2006},
}

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