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old_babylonian_scribal_schools [2015/10/25 22:42] – gombert | old_babylonian_scribal_schools [2017/02/13 07:39] (current) – [Table] gombert |
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| **↓ × 100 ** ||| | | **↓ × 100 ** ||| |
| GAN<sub>2</sub>((see system G below)) | {{:obab_gan2.jpg?nolink|}} | ca. 3600 m<sup>2</sup> | | | GAN<sub>2</sub>((see system G below)) | {{:obab_gan2.jpg?nolink|}} | ca. 3600 m<sup>2</sup> | |
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| System G, used before the sign GAN2 |
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| | {{:obab_shar_u.png?nolink}} | **× 10\\ ←** | {{:obab_shar2.png?nolink}} | **× 6\\ ←** | {{:obab_bur_u.png?nolink}} | **× 10\\ ←** | {{:obab_u.png?nolink}} | **× 3\\ ←** | {{:obab_eshe3.png?nolink}} | **× 6\\ ←** | {{:obab_ash.png?nolink}} | **× 2\\ ←** | {{:obab_ubu.png?nolink}} | |
| | šar’u | ::: | šar<sub>2</sub> | ::: | bur’u | ::: | bur<sub>3</sub> | ::: | eše<sub>3</sub> | ::: | iku | ::: | ubu | |
| | 10 800 iku | ::: | 1 080 iku | ::: | 180 iku | ::: | 18 iku | ::: | 6 iku | ::: | 1 iku | ::: | ½ iku | |
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| Examples:\\ |
| {{:obab_ash.png?nolink|}}{{:obab_gan2.jpg?nolink|}}1(iku) GAN<sub>2</sub> represents ca. 3600 m<sup>2</sup>\\ |
| {{:2sysg.png?nolink&25|}}{{:obab_gan2.jpg?nolink|}}2(eše<sub>3</sub>) GAN<sub>2</sub> represents ca. 2×6×3600 m<sup>2</sup>, that is, 43 200 m<sup>2</sup> |
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== Units of length == | == Units of length == |
Bridge between volume and capacity units: 1 sar-volume is equivalent to 60 gur (ca. 18 m<sup>3</sup> or 18 000 liters).\\ | Bridge between volume and capacity units: 1 sar-volume is equivalent to 60 gur (ca. 18 m<sup>3</sup> or 18 000 liters).\\ |
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=== Numerical systems === | === Numbers and fractions === |
== System S, used for counting discrete items == | == System S, used for counting discrete items == |
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| šar’u | ::: | šar<sub>2</sub> | ::: | geš’u | ::: | geš<sub>2</sub> | ::: | u | ::: | diš | | | šar’u | ::: | šar<sub>2</sub> | ::: | geš’u | ::: | geš<sub>2</sub> | ::: | u | ::: | diš | |
| 36 000 | ::: | 3 600 | ::: | 600 | ::: | 60 | ::: | 10 | ::: | 1 | | | 36 000 | ::: | 3 600 | ::: | 600 | ::: | 60 | ::: | 10 | ::: | 1 | |
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| \\ |
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| Some metrological lists or tables provide very large (and unrealistic) numbers: |
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| * 1 šar<sub>2</sub> gal (60 times 1 šar<sub>2</sub>) appears in CBS 10990, CBS 8214, CBS 10181, HS 249, Ist Ni 4840, YBC 2392, CBS 472, Ash 1931.137 |
| * 1 šar<sub>2</sub> gal šu-nu tag (60 times 1 šar<sub>2</sub> gal) appears in CBS 10990, CBS 8214, CBS 10181, Ist Ni 4840 (for another reading and interpretation, see Chambon & Robson 2011, "Untouchable or unrepeatable? The upper end of the Old Babylonian metrological systems for capacity and area 127", //Iraq// 73) |
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| \\ A school tablet from Nippur [[http://www.cdli.ucla.edu/P225766|CBS 11319 +]]) contains on the obverse the unique known text which displays the entire System S in a systematic way (see copy and transliteration in Proust 2008, in Proceedings of the 51st Rencontre Assyriologique Internationale, Biggs et al. ed., SAOC 62, p. 151-152). |
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| \\ \\ |
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== Variants of System S == | == Variants of System S == |
The other measuring units (sila<sub>3</sub>, gin<sub>2</sub>, še, sar, danna, UŠ, ninda, kuš and šu-si) are counted with <sub>{{:obab_barig.jpg?4*5|}}</sub> (1) and <sub>{{:obab_u.png?4*5|}}</sub> (10) repeated as many times as necessary.\\ | The other measuring units (sila<sub>3</sub>, gin<sub>2</sub>, še, sar, danna, UŠ, ninda, kuš and šu-si) are counted with <sub>{{:obab_barig.jpg?4*5|}}</sub> (1) and <sub>{{:obab_u.png?4*5|}}</sub> (10) repeated as many times as necessary.\\ |
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== System G, used for counting the highest unit of surface == | |
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| {{:obab_shar_u.png?nolink|}} | **× 2\\ ←** | {{:obab_shar2.png?nolink|}} | **× 6\\ ←** | {{:obab_bur_u.png?nolink|}} | **× 10\\ ←** | {{:obab_u.png?nolink|}} | **× 3\\ ←** | {{:obab_eshe3.png?nolink|}} | **× 6\\ ←** | {{:obab_ash.png?nolink|}} | **× 2\\ ←** | {{:obab_ubu.png?nolink|}} | | |
| šar’u | ::: | šar<sub>2</sub> | ::: | bur’u | ::: | bur<sub>3</sub> | ::: | eše<sub>3</sub> | ::: | iku | ::: | ubu | | |
| 10 800 | ::: | 1 080 | ::: | 180 | ::: | 18 | ::: | 6 | ::: | 1 | ::: | ½ | | |
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