Ancient Mesopotamian units of measurement

Last updated
Sumerian Metrology Sumerian Calendar ISO B0.svg
Sumerian Metrology

Ancient Mesopotamian units of measurement originated in the loosely organized city-states of Early Dynastic Sumer. Each city, kingdom and trade guild had its own standards until the formation of the Akkadian Empire when Sargon of Akkad issued a common standard. This standard was improved by Naram-Sin, but fell into disuse after the Akkadian Empire dissolved. The standard of Naram-Sin was readopted in the Ur III period by the Nanše Hymn which reduced a plethora of multiple standards to a few agreed upon common groupings. Successors to Sumerian civilization including the Babylonians, Assyrians, and Persians continued to use these groupings. Akkado-Sumerian metrology has been reconstructed by applying statistical methods to compare Sumerian architecture, architectural plans, and issued official standards such as Statue B of Gudea and the bronze cubit of Nippur.

Contents

Archaic system

Gudea Statue I carved diorite Gudea of Lagash Girsu.png
Gudea Statue I carved diorite

The systems that would later become the classical standard for Mesopotamia were developed in parallel with writing during Uruk Period Sumer (c.4000 BCE). Studies of protocuneiform indicate twelve separate counting systems used in Uruk.

In Early Dynastic Sumer (c.2900–2300 BCE) metrology and mathematics were indistinguishable and treated as a single scribal discipline. The idea of an abstract number did not yet exist, thus all quantities were written as metrological symbols and never as numerals followed by a unit symbol. For example there was a symbol for one-sheep and another for one-day but no symbol for one. About 600 of these metrological symbols exist, for this reason archaic Sumerian metrology is complex and not fully understood. [1] In general however, length, volume, and mass are derived from a theoretical standard cube, called 'gur (also spelled kor in some literature)', filled with barley, wheat, water, or oil. However, because of the different specific gravities of these substances combined with dual numerical bases (sexagesimal or decimal), multiple sizes of the gur-cube were used without consensus. The different gur-cubes are related by proportion, based on the water gur-cube, according to four basic coefficients and their cubic roots.[ citation needed ] These coefficients are given as:

One official government standard of measurement of the archaic system was the Cubit of Nippur (2650 BCE). It is a Euboic Mana + 1 Diesis (432 grams).[ citation needed ] This standard is the main reference used by archaeologists to reconstruct the system.

Classical system

Royal Gur Cube of Naram-Sin Royal gur.svg
Royal Gur Cube of Naram-Sin

A major improvement came in 2150 BCE during the Akkadian Empire under the reign of Naram-Sin when the competing systems were unified by a single official standard, the royal gur-cube. [2] His reform is considered the first standardized system of measure in Mesopotamia. [2] The royal gur-cube (Cuneiform: LU2.GAL.GUR, 𒈚𒄥; Akkadian: šarru kurru) was a theoretical cuboid of water approximately 6 m × 6 m × 0.5 m from which all other units could be derived. The Neo-Sumerians continued use of the royal gur-cube as indicated by the Letter of Nanse issued in 2000 BCE by Gudea. Use of the same standard continued through the Neo-Babylonian Empire, Neo-Assyrian Empire, and Achaemenid Empire. [1]

Length

Units of length are prefixed by the logogram DU (𒁺) a convention of the archaic period counting system from which it was evolved. Basic length was used in architecture and field division.

Basic Length
UnitRatioSumerianAkkadianCuneiform
grain1180šeuţţatu𒊺
finger130šu-siubānu𒋗𒋛
foot23šu-du3-ašīzu𒋗𒆕𒀀
cubit 1kuš3ammatu𒌑
step2ĝiri3šēpu𒈨𒊑
reed6giqanû𒄀
rod12nindannindanu𒃻
cord120eše2aslu𒂠

Distance units were geodectic as distinguished from non-geodectic basic length units. Sumerian geodesy divided latitude into seven zones between equator and pole.

Distance
UnitRatioSumerianAkkadianCuneiform
rod160nidannindanu𒃻
cord16eše2aslu𒂠
cable1𒍑
league30da-nabêru𒁕𒈾

Area

The GAN2 system G counting system evolved into area measurements. A special unit measuring brick quantity by area was called the brick-garden (Cuneiform: SIG.SAR 𒊬𒋞; Sumerian: šeg12-sar; Akkadian: libittu-mūšaru) which held 720 bricks.

Basic Area
UnitRatioDimensionsSumerianAkkadianCuneiform
shekel11441 kuš3 × 1 kuš3gin2šiqlu𒂆
garden112 kuš3 × 12 kuš3sarmūšaru𒊬
quarter-field2560 kuš3 × 60 kuš3uzalak?𒀺
half-field50120 kuš3 × 60 kuš3upuubû𒀹𒃷
field100120 kuš3 × 120 kuš3ikuikû𒃷
estate1800burbūru𒁓

Capacity or volume

Capacity was measured by either the ŠE system Š for dry capacity or the ŠE system Š* for wet capacity.

Basic Volume
UnitRatioSumerianAkkadianCuneiform
shekel160gin2šiqlu𒂆
bowl1sila3𒋡
vessel10ban2sutū𒑏
bushel60ba-ri2-ga (barig)parsiktu𒁀𒌷𒂵
gur-cube300gurkurru𒄥

A sila was about 1 liter. [3]

Mass or weight

A series of old Babylonian weights ranging from 1 mina to 3 shekels Mesopotamian weights made from haematite.JPG
A series of old Babylonian weights ranging from 1 mina to 3 shekels

Mass was measured by the EN system E

Values below are an average of weight artifacts from Ur and Nippur. The ± value represents 1 standard deviation. All values have been rounded to second digit of the standard deviation.

Basic Mass
UnitRatioMean ValueSumerianAkkadianCuneiform
grain118046.6±1.9 mgšeuţţatu𒊺
shekel18.40±0.34 ggin2šiqlu𒂆
mina60504±20 gma-namanû𒈠𒈾
talent3,60030.2±1.2 kggun2biltu or kakaru𒄘

[4] [5] [6]

Time

In the Archaic System time notation was written in the U4 System U. Multiple lunisolar calendars existed; however the civil calendar from the holy city of Nippur (Ur III period) was adopted by Babylon as their civil calendar. [7] The calendar of Nippur dates to 3500 BCE and was itself based on older astronomical knowledge of an uncertain origin. The main astronomical cycles used to construct the calendar were the month, year, and day.

Basic Time [8]
UnitRatioSumerianAkkadianCuneiform
gesh1360mu-ešgeš𒈬𒍑
watch112da-nabêru𒂆
day1udimmu𒌓
month30itudarhu𒌗
year360mušattu𒈬

Relationship to other metrologies

The Classical Mesopotamian system formed the basis for Elamite, Hebrew, Urartian, Hurrian, Hittite, Ugaritic, Phoenician, Babylonian, Assyrian, Persian, Arabic, and Islamic metrologies. [9] The Classical Mesopotamian System also has a proportional relationship, by virtue of standardized commerce, to Bronze Age Harappan and Egyptian metrologies.

See also

Related Research Articles

<span class="mw-page-title-main">Akkadian Empire</span> Historical state in Mesopotamia

The Akkadian Empire was the first known ancient empire of Mesopotamia, succeeding the long-lived civilization of Sumer. Centered on the city of Akkad and its surrounding region, the empire would unite Akkadian and Sumerian speakers under one rule and exercised significant influence across Mesopotamia, the Levant, and Anatolia, sending military expeditions as far south as Dilmun and Magan in the Arabian Peninsula.

<span class="mw-page-title-main">Mesopotamia</span> Historical region within the Tigris–Euphrates river system

Mesopotamia is a historical region of West Asia situated within the Tigris–Euphrates river system, in the northern part of the Fertile Crescent. Today, Mesopotamia is known as present-day Iraq. In the broader sense, the historical region of Mesopotamia included parts of present-day Iran, Kuwait, Syria, and Turkey.

<span class="mw-page-title-main">Babylonia</span> Ancient Akkadian region in Mesopotamia

Babylonia was an ancient Akkadian-speaking state and cultural area based in the city of Babylon in central-southern Mesopotamia. It emerged as an Akkadian populated but Amorite-ruled state c. 1894 BC. During the reign of Hammurabi and afterwards, Babylonia was retrospectively called "the country of Akkad", a deliberate archaism in reference to the previous glory of the Akkadian Empire. It was often involved in rivalry with the older ethno-linguistically related state of Assyria in the north of Mesopotamia and Elam to the east in Ancient Iran. Babylonia briefly became the major power in the region after Hammurabi created a short-lived empire, succeeding the earlier Akkadian Empire, Third Dynasty of Ur, and Old Assyrian Empire. The Babylonian Empire rapidly fell apart after the death of Hammurabi and reverted to a small kingdom centered around the city of Babylon.

<i>Sumerian King List</i> Ancient text listing Sumerian Kingships

The Sumerian King List or Chronicle of the One Monarchy is an ancient literary composition written in Sumerian that was likely created and redacted to legitimize the claims to power of various city-states and kingdoms in southern Mesopotamia during the late third and early second millennium BC. It does so by repetitively listing Sumerian cities, the kings that ruled there, and the lengths of their reigns. Especially in the early part of the list, these reigns often span thousands of years. In the oldest known version, dated to the Ur III period but probably based on Akkadian source material, the SKL reflected a more linear transition of power from Kish, the first city to receive kingship, to Akkad. In later versions from the Old Babylonian period, the list consisted of a large number of cities between which kingship was transferred, reflecting a more cyclical view of how kingship came to a city, only to be inevitably replaced by the next. In its best-known and best-preserved version, as recorded on the Weld-Blundell Prism, the SKL begins with a number of antediluvian kings, who ruled before a flood swept over the land, after which kingship went to Kish. It ends with a dynasty from Isin, which is well-known from other contemporary sources.

<span class="mw-page-title-main">Ancient Mesopotamian religion</span> Western Asian body of religious beliefs

Mesopotamian religion was the original religious beliefs and practices of the civilizations of ancient Mesopotamia, particularly Sumer, Akkad, Assyria and Babylonia between circa 6000 BC and 400 AD. The religious development of Mesopotamia and Mesopotamian culture in general, especially in the south, were not particularly influenced by the movements of the various peoples into and throughout the area. Rather, Mesopotamian religion was a consistent and coherent tradition, which adapted to the internal needs of its adherents over millennia of development.

<span class="mw-page-title-main">History of Sumer</span> History of the Mesopotamian area called Sumer

The history of Sumer spans the 5th to 3rd millennia BCE in southern Mesopotamia, and is taken to include the prehistoric Ubaid and Uruk periods. Sumer was the region's earliest known civilization and ended with the downfall of the Third Dynasty of Ur around 2004 BCE. It was followed by a transitional period of Amorite states before the rise of Babylonia in the 18th century BCE.

<span class="mw-page-title-main">Nippur</span> Archaeological site in Iraq

Nippur was an ancient Sumerian city. It was the special seat of the worship of the Sumerian god Enlil, the "Lord Wind", ruler of the cosmos, subject to An alone. Nippur was located in modern Nuffar 5 miles north of modern Afak, Al-Qādisiyyah Governorate, Iraq. It is roughly 200 kilometers south of modern Baghdad and about 96.56 km southeast of the ancient city of Babylon. Occupation at the site extended back to the Ubaid period, the Uruk period, and the Jemdet Nasr period. The origin of the ancient name is unknown but different proposals have been made.

<span class="mw-page-title-main">Sin (mythology)</span> Mesopotamian lunar god

Sin or Suen (Akkadian: 𒀭𒂗𒍪, dEN.ZU) also known as Nanna (Sumerian: 𒀭𒋀𒆠DŠEŠ.KI, DNANNA) was the Mesopotamian god representing the moon. While these two names originate in two different languages, respectively Akkadian and Sumerian, they were already used interchangeably to refer to one deity in the Early Dynastic period. They were sometimes combined into the double name Nanna-Suen. A third well attested name is Dilimbabbar (𒀭𒀸𒁽𒌓). Additionally, the moon god could be represented by logograms reflecting his lunar character, such as d30 (𒀭𒌍), referring to days in the lunar month or dU4.SAKAR (𒀭𒌓𒊬), derived from a term referring to the crescent. In addition to his astral role, Sin was also closely associated with cattle herding. Furthermore, there is some evidence that he could serve as a judge of the dead in the underworld. A distinct tradition in which he was regarded either as a god of equal status as the usual heads of the Mesopotamian pantheon, Enlil and Anu, or as a king of the gods in his own right, is also attested, though it only had limited recognition. In Mesopotamian art, his symbol was the crescent. When depicted anthropomorphically, he typically either wore headwear decorated with it or held a staff topped with it, though on kudurru the crescent alone served as a representation of him. He was also associated with boats.

<span class="mw-page-title-main">Cubit</span> Ancient unit of length

The cubit is an ancient unit of length based on the distance from the elbow to the tip of the middle finger. It was primarily associated with the Sumerians, Egyptians, and Israelites. The term cubit is found in the Bible regarding Noah's Ark, the Ark of the Covenant, the Tabernacle, and Solomon's Temple. The common cubit was divided into 6 palms × 4 fingers = 24 digits. Royal cubits added a palm for 7 palms × 4 fingers = 28 digits. These lengths typically ranged from 44.4 to 52.92 cm, with an ancient Roman cubit being as long as 120 cm.

<span class="mw-page-title-main">Babylonian calendar</span> Lunisolar calendar

The Babylonian calendar was a lunisolar calendar used in Mesopotamia from around the second millennium BCE until the Seleucid Era, and it was specifically used in Babylon from the Old Babylonian Period until the Seleucid Era. The civil lunisolar calendar was used contemporaneously with an administrative calendar of 360 days, with the latter used only in fiscal or astronomical contexts. The lunisolar calendar descends from an older Sumerian calendar used in the 4th and 3rd millennia BCE.

<span class="mw-page-title-main">Naram-Sin of Akkad</span> Ruler of the Akkadian Empire (c. 2254–2218 BC)

Naram-Sin, also transcribed Narām-Sîn or Naram-Suen, was a ruler of the Akkadian Empire, who reigned c. 2254–2218 BC, and was the third successor and grandson of King Sargon of Akkad. Under Naram-Sin the empire reached its maximum extent. He was the first Mesopotamian king known to have claimed divinity for himself, taking the title "God of Akkad", and the first to claim the title "King of the Four Quarters". He became the patron city god of Akkade as Enlil was in Nippur. His enduring fame resulted in later rulers, Naram-Sin of Eshnunna and Naram-Sin of Assyria as well as Naram-Sin of Uruk, assuming the name.

<span class="mw-page-title-main">Music of Mesopotamia</span>

Music was ubiquitous throughout Mesopotamian history, playing important roles in both religious and secular contexts. Mesopotamia is of particular interest to scholars because evidence from the region—which includes artifacts, artistic depictions, and written records—places it among the earliest well-documented cultures in the history of music. The discovery of a bone wind instrument dating to the 5th millennium BCE provides the earliest evidence of music culture in Mesopotamia; depictions of music and musicians appear in the 4th millennium BCE; and later, in the city of Uruk, the pictograms for ‘harp’ and ‘musician’ are present among the earliest known examples of writing.

<span class="mw-page-title-main">History of Mesopotamia</span>

The history of Mesopotamia ranges from the earliest human occupation in the Paleolithic period up to Late antiquity. This history is pieced together from evidence retrieved from archaeological excavations and, after the introduction of writing in the late 4th millennium BC, an increasing amount of historical sources. While in the Paleolithic and early Neolithic periods only parts of Upper Mesopotamia were occupied, the southern alluvium was settled during the late Neolithic period. Mesopotamia has been home to many of the oldest major civilizations, entering history from the Early Bronze Age, for which reason it is often called a cradle of civilization.

<span class="mw-page-title-main">Sargon of Akkad</span> Founder of Akkadian Empire

Sargon of Akkad, also known as Sargon the Great, was the first ruler of the Akkadian Empire, known for his conquests of the Sumerian city-states in the 24th to 23rd centuries BC. He is sometimes identified as the first person in recorded history to rule over an empire.

<span class="mw-page-title-main">Akkad (city)</span> Ancient Mesopotamian city

Akkad was the capital of the Akkadian Empire, which was the dominant political force in Mesopotamia during a period of about 150 years in the last third of the 3rd millennium BC.

<span class="mw-page-title-main">King of the Four Corners</span> Prestigious title from ancient Mesopotamia

King of the Four Corners of the World, alternatively translated as King of the Four Quarters of the World, King of the Heaven's Four Corners or King of the Four Corners of the Universe and often shortened to simply King of the Four Corners, was a title of great prestige claimed by powerful monarchs in ancient Mesopotamia. Though the term "four corners of the world" does refer to specific geographical places within and near Mesopotamia itself, these places were thought to represent locations near the actual edges of the world and as such, the title should be interpreted as something equivalent to "King of all the known world", a claim to universal rule over the entire world and everything within it.

<span class="mw-page-title-main">King of Sumer and Akkad</span> Royal title in Ancient Mesopotamia

King of Sumer and Akkad was a royal title in Ancient Mesopotamia combining the titles of "King of Akkad", the ruling title held by the monarchs of the Akkadian Empire with the title of "King of Sumer". The title simultaneously laid a claim on the legacy and glory of the ancient empire that had been founded by Sargon of Akkad and expressed a claim to rule the entirety of lower Mesopotamia. Despite both of the titles "King of Sumer" and "King of Akkad" having been used by the Akkadian kings, the title was not introduced in its combined form until the reign of the Neo-Sumerian king Ur-Nammu, who created it in an effort to unify the southern and northern parts of lower Mesopotamia under his rule. The older Akkadian kings themselves might have been against linking Sumer and Akkad in such a way.

<span class="mw-page-title-main">Akkadian royal titulary</span>

Akkadian or Mesopotamian royal titulary refers to the royal titles and epithets assumed by monarchs in Ancient Mesopotamia from the Akkadian period to the fall of the Neo-Babylonian Empire, with some scant usage in the later Achaemenid and Seleucid periods. The titles and the order they were presented in varied from king to king, with similarities between kings usually being because of a king's explicit choice to align himself with a predecessor. Some titles, like the Akkadian šar kibrāt erbetti and šar kiššatim and the Neo-Sumerian šar māt Šumeri u Akkadi would remain in use for more than a thousand years through several different empires and others were only used by a single king.

Manzat (Manzât), also spelled Mazzi'at, Manzi'at and Mazzêt, sometimes known by the Sumerian name Tiranna (dTIR.AN.NA) was a Mesopotamian and Elamite goddess representing the rainbow. She was also believed to be responsible for the prosperity of cities.

References

Citations

  1. 1 2 Melville 2006.
  2. 1 2 Powell, Marvin A. (1995). "Metrology and Mathematics in Ancient Mesopotamia". In Sasson, Jack M. (ed.). Civilizations of the Ancient Near East . Vol. III. New York, NY: Charles Scribner's Sons. p.  1955. ISBN   0-684-19279-9.
  3. Sumerian Beer: The Origins of Brewing Technology in Ancient Mesopotamia
  4. "Mesopotamian Mensuration: Balance Pan Weights from Nippur". Journal of the Economic and Social History of the Orient. 48 (3): 345–387. December 13, 2005. doi:10.1163/156852005774342894 via www.academia.edu.
  5. Hafford, William B. (August 1, 2012). "Weighing in Mesopotamia: The Balance Pan Weights from Ur". Akkadica via www.academia.edu.
  6. Pentiuc, Eugen J. (14 August 2018). West Semitic Vocabulary in the Akkadian Texts from Emar. ISBN   9789004369870.
  7. Ronan, 2008
  8. Kasprik, L A; Barros, A C (April 2020). "Ancient Mesopotamian's system of measurement: possible applications in mathematics and physics teaching". Journal of Physics: Conference Series. 1512: 012039. doi: 10.1088/1742-6596/1512/1/012039 . ISSN   1742-6588.
  9. Conder 1908, p. 87.

Bibliography

Further reading