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== Length == == Length ==
Greek measures of length were based on the relative lengths of parts of the body such as the foot and finger segment.{{or |date=December 2011}} The specific values assigned to these units varied according to location and epoch (e.g., in ] a foot or '''pous''' was approximately 13&nbsp;inches or 333&nbsp;mm, whereas in ] (Attica) it was about 11.6&nbsp;inches or 296&nbsp;mm).<ref name=measures>{{cite encyclopedia|title=Measures|encyclopedia=The Oxford Classical Dictionary|date=2003}}</ref> The relative proportions, however, were generally the same throughout the Greek world. Some Greek measures of length were named after parts of the body, such as the {{Polytonic|δάκτυλος}} (daktylos, plural: daktyloi) or finger, and the {{Polytonic|ποῦς}} (pous, plural: podes) or foot. The values of the units varied according to location and epoch (e.g., in ] a ''pous'' was approximately {{convert|333|mm|abbr=on}}, whereas in ] (Attica) it was about {{convert|296|mm|abbr=on}},<ref name=measures>{{cite encyclopedia|title=Measures|encyclopedia=The Oxford Classical Dictionary|date=2003}}</ref> but the relative proportions were generally the same throughout the Greek world. Different values are found in different sources; Hutton (1795) gives {{convert|12.084|in}} for the Greek foot,<ref name=hutton>Hutton, Charles (1795) 1st ed. London: for J. Johnson Volume 2 p.187</ref> while Smith (1851) gives {{convert|12.135|in|abbr=on}}.<ref name=smith>Smith, Sir William; Charles Anthon (1851) New York: Harper & Bros. Table I, page 1024</ref>

Units derived from the '''dactylos''' (plural: '''dactyloi'''):


{| class="wikitable" align="left" style="margin: 1em auto 1em auto; background-color: #ffffff" {| class="wikitable" align="left" style="margin: 1em auto 1em auto; background-color: #ffffff"
|+Smaller units of length
|- |-
! Unit ! Unit
! Greek name ! Greek name
! Equal to
! Equivalent
! Metric equivalent
! Description ! Description
|- |-
Line 18: Line 18:
| {{Polytonic|δάκτυλος}} | {{Polytonic|δάκτυλος}}
| |
|align="right" |19.3&nbsp;mm&nbsp;
| finger | finger
|- |-
| kondylos | kondylos
| {{Polytonic|κόνδυλος}} | {{Polytonic|κόνδυλος}}
| 2 daktyloi |align="right" | 2 daktyloi
|align="right" |38.5&nbsp;mm&nbsp;
| middle joint of finger
|
|- |-
| palaistē or dōron | palaistē or dōron
| {{Polytonic|παλαιστή}}, {{Polytonic|δῶρον}} | {{Polytonic|παλαιστή}}, {{Polytonic|δῶρον}}
| 4 daktyloi |align="right" | 4 daktyloi
|align="right" |77.1&nbsp;mm&nbsp;
| palm | palm
|- |-
| dichas or hēmipodion | dichas or hēmipodion
| {{Polytonic|διχάς}}, {{Polytonic|ἡμιπόδιον}} | {{Polytonic|διχάς}}, {{Polytonic|ἡμιπόδιον}}
| 8 daktyloi |align="right" | 8 daktyloi
|align="right" |154.1&nbsp;mm&nbsp;
| half foot | half foot
|- |-
| lichas | lichas
| {{Polytonic|λιχάς}} | {{Polytonic|λιχάς}}
| 10 daktyloi |align="right" | 10 daktyloi
|align="right" |192.6&nbsp;mm&nbsp;
| span of thumb
|
|- |-
| orthodōron | orthodōron
| {{Polytonic|ὀρθόδωρον}} | {{Polytonic|ὀρθόδωρον}}
| 11 daktyloi |align="right" | 11 daktyloi
|align="right" |211.9&nbsp;mm&nbsp;
| <ref name="EIM">EIM:Metrology:History. Hellenic Institute of Metrology (EIM). .</ref>
|
|- |-
| spithamē | spithamē
| {{Polytonic|σπιθαμή}} | {{Polytonic|σπιθαμή}}
| 12 daktyloi |align="right" | 12 daktyloi
|align="right" |231.2&nbsp;mm&nbsp;
|span of all fingers |span of all fingers
|- |-
| pous | pous
| {{Polytonic|ποῦς}} | {{Polytonic|ποῦς}}
| 16 daktyloi |align="right" | 16 daktyloi
| foot; Attic foot ≈ 296&nbsp;mm; Aeginan foot ≈ 333&nbsp;mm |align="right" |308.2&nbsp;mm&nbsp;
| foot
|- |-
| pygmē | pygmē
| {{Polytonic|πυγμή}} | {{Polytonic|πυγμή}}
| 18 daktyloi |align="right" | 18 daktyloi
|align="right" |346.8&nbsp;mm&nbsp;
| elbow to base of fingers
|
|- |-
| pygōn | pygōn
| {{Polytonic|πυγών}} | {{Polytonic|πυγών}}
| 20 daktyloi |align="right" | 20 daktyloi
|align="right" |385.3&nbsp;mm&nbsp;
| |
|- |-
| pēchys | pēchys
| {{Polytonic|πῆχυς}} | {{Polytonic|πῆχυς}}
| 24 daktyloi |align="right" | 24 daktyloi
|align="right" |462.3&nbsp;mm&nbsp;
| ] | ]
|- |-
| colspan=5 style= "font-size:smaller" | Except where noted, based on Smith (1851).<ref name=smith/> Metric equivalents are approximate.
| pēchys basilēïos
|}
| {{Polytonic|πῆχυς βασιλήιος}}
| 27 daktyloi
| royal cubit
|-
|}{{-}}

Larger units derived from the '''pous''' (plural: '''podes'''):


{| class="wikitable" align="left" style="margin: 1em auto 1em auto; background-color: #ffffff" {| class="wikitable" align="left" style="margin: 1em auto 1em auto; background-color: #ffffff"
|+Larger units of length
|- |-
! Unit ! Unit
! Greek name ! Greek name
! Equal to
! Equivalent
! Metric equivalent
! Description ! Description
|- |-
| pous | pous
| {{Polytonic|ποῦς}} | {{Polytonic|ποῦς}}
|
| 16 daktyloi
|align="right" |0.308&nbsp;m&nbsp;
| foot; Attic foot ≈ 296&nbsp;mm
| foot
|- |-
| haploun bēma | haploun bēma
| {{Polytonic|ἁπλοῦν βῆμα}} | {{Polytonic|ἁπλοῦν βῆμα}}
| 2.5 podes |align="right" | 2.5 podes
|align="right" |0.77&nbsp;m&nbsp;
| single pace | single pace
|- |-
| diploun bēma | diploun bēma
| {{Polytonic|διπλοῦν βῆμα}} | {{Polytonic|διπλοῦν βῆμα}}
| 5 podes |align="right" | 5 podes
|align="right" |1.54&nbsp;m&nbsp;
| double pace <ref name="EIM"/>
| double pace <ref name=EIM>EIM:Metrology:History. Hellenic Institute of Metrology (EIM). .</ref>
|- |-
| orgyia | orgyia
| {{Polytonic|ὀργυιά}} | {{Polytonic|ὀργυιά}}
| 6 podes |align="right" | 6 podes
|align="right" |1.85&nbsp;m&nbsp;
| ] or stretch of both arms
| ]
|- |-
| akaina | akaina
| {{Polytonic|ἄκαινα}} | {{Polytonic|ἄκαινα}}
| 10 podes |align="right" | 10 podes
|align="right" |3.08&nbsp;m&nbsp;
| <ref name="EIM"/>
|
|-
| hamma
| {{Polytonic|ἅμμα}}
|align="right" | 60 podes
|align="right" |18.5&nbsp;m&nbsp;
|
|- |-
| plethron | plethron
| {{Polytonic|πλέθρον}} | {{Polytonic|πλέθρον}}
| 100 podes |align="right" | 100 podes
|align="right" |30.8&nbsp;m&nbsp;
| breadth of Greek acre
|
|- |-
| ] | ]
| {{Polytonic|στάδιον}} | {{Polytonic|στάδιον}}
| 600 podes |align="right" | 600 podes
|align="right" |184.9&nbsp;m&nbsp;
| Attic stadion ≈ 185 m
|
|- |-
| ] | ]
| {{Polytonic|δίαυλος}} | {{Polytonic|δίαυλος}}
| 2 stadia |align="right" | 2 stadia
|align="right" |369.9&nbsp;m&nbsp;
| |
|- |-
| hippikon | hippikon
| {{Polytonic|ἱππικόν}} | {{Polytonic|ἱππικόν}}
| 4 stadia |align="right" | 4 stadia
|align="right" |739.7&nbsp;m&nbsp;
|
|-
| ]
| {{Polytonic|δόλιχος}}
| 12 stadia
| |
|- |-
| ]a | ]a
| {{Polytonic|παρασάγγες}} | {{Polytonic|παρασάγγες}}
| 30 stadia |align="right" | 30 stadia
|align="right" |5548&nbsp;m&nbsp;
| adopted from ] | adopted from ]{{cn}}
|- |-
| schoinos | schoinos
| {{Polytonic|σχοινός}} | {{Polytonic|σχοινός}}
| 40 stadia |align="right" | 40 stadia
|align="right" |7397&nbsp;m&nbsp;
| adopted from ] | adopted from ]{{cn}}
|}{{-}}
|-
| colspan=5 style= "font-size:smaller" | Except where noted, based on Smith (1851).<ref name=smith/> Metric equivalents are approximate.
|}


== Area == == Area ==

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Ancient Greek units of measurement varied according to location and epoch. Systems of ancient weights and measures evolved as needs changed; Solon and other lawgivers also reformed them en bloc. Some units of measurement were found to be convenient for trade within the Mediterranean region and these units became increasingly common to different city states. The calibration and use of measuring devices became more sophisticated. By about 500 BC, Athens had a central depository of official weights and measures — the Tholos — where merchants were required to test their measuring devices against official standards.

Length

Some Greek measures of length were named after parts of the body, such as the Template:Polytonic (daktylos, plural: daktyloi) or finger, and the Template:Polytonic (pous, plural: podes) or foot. The values of the units varied according to location and epoch (e.g., in Aegina a pous was approximately 333 mm (13.1 in), whereas in Athens (Attica) it was about 296 mm (11.7 in), but the relative proportions were generally the same throughout the Greek world. Different values are found in different sources; Hutton (1795) gives 12.084 inches (306.9 mm) for the Greek foot, while Smith (1851) gives 12.135 in (308.2 mm).

Smaller units of length
Unit Greek name Equal to Metric equivalent Description
daktylos Template:Polytonic 19.3 mm  finger
kondylos Template:Polytonic 2 daktyloi 38.5 mm 
palaistē or dōron Template:Polytonic, Template:Polytonic 4 daktyloi 77.1 mm  palm
dichas or hēmipodion Template:Polytonic, Template:Polytonic 8 daktyloi 154.1 mm  half foot
lichas Template:Polytonic 10 daktyloi 192.6 mm 
orthodōron Template:Polytonic 11 daktyloi 211.9 mm 
spithamē Template:Polytonic 12 daktyloi 231.2 mm  span of all fingers
pous Template:Polytonic 16 daktyloi 308.2 mm  foot
pygmē Template:Polytonic 18 daktyloi 346.8 mm 
pygōn Template:Polytonic 20 daktyloi 385.3 mm 
pēchys Template:Polytonic 24 daktyloi 462.3 mm  cubit
Except where noted, based on Smith (1851). Metric equivalents are approximate.
Larger units of length
Unit Greek name Equal to Metric equivalent Description
pous Template:Polytonic 0.308 m  foot
haploun bēma Template:Polytonic 2.5 podes 0.77 m  single pace
diploun bēma Template:Polytonic 5 podes 1.54 m  double pace
orgyia Template:Polytonic 6 podes 1.85 m  fathom
akaina Template:Polytonic 10 podes 3.08 m 
hamma Template:Polytonic 60 podes 18.5 m 
plethron Template:Polytonic 100 podes 30.8 m 
stadion Template:Polytonic 600 podes 184.9 m 
diaulos Template:Polytonic 2 stadia 369.9 m 
hippikon Template:Polytonic 4 stadia 739.7 m 
parasanga Template:Polytonic 30 stadia 5548 m  adopted from Persia
schoinos Template:Polytonic 40 stadia 7397 m  adopted from Egypt
Except where noted, based on Smith (1851). Metric equivalents are approximate.

Area

One plethron was traditionally the amount of land a yoke of oxen could plough in one day (approximately 4 English acres); more specifically, it was any area equal to the area of a square each of whose sides is 100 podes or 10 plethron in length .

Volume

Neck amphora depicting an athlete running the hoplitodromos by the Berlin Painter, ca. 480 BC, Louvre. The average wine amphora had a capacity of about 46L.

Greeks measured volume according to either dry or liquid capacity, suited respectively to measuring grain and wine. A common unit in both measures throughout historic Greece was the cotyle or cotyla whose absolute value varied from one place to another between 210mL and 330mL (or 7.4-11.6 fl. oz.):

Dry measure

Unit Greek name Equivalent Description
cotyla κοτύλη 276ml
choenix Template:Polytonic 4 cotylae approx 1 man's daily grain ration
hecteus Template:Polytonic 8 choenices
medimnos μέδιμνος 6 hecteis

Liquid measure

Unit Greek name Equivalent Description
cotyla κοτύλη approx a cup
hemichous Template:Polytonic 6 cotylae
chous Template:Polytonic 12 cotylae
metretes μετρητής 144 cotylae approx 1 amphora wine

Currency

The basic unit of Athenian currency was the obol:

An obol, Attica, Athens. After 449 BC
Unit Greek name Equivalent
obol or obolus ὀβολός 0.56 g
drachma δραχμή 6 obols
mina μνᾶ 100 drachmae
talent τάλαντον 60 minae

Weight

Weights are often associated with currency since units of currency involve prescribed amounts of a given metal. Thus for example the English pound has been both a unit of weight and a unit of currency. Greek weights similarly bear a nominal resemblance to Greek currency yet the origin of the Greek standards of weights is often disputed. There were two dominant standards of weight in the eastern Mediterranean - a standard that originated in Euboea and that was subsequently introduced to Attica by Solon, and also a standard that originated in Aegina. The Attic/Euboean standard was supposedly based on the barley corn, of which there were supposedly twelve to one obol. However, weights that have been retrieved by historians and archeologists show considerable variations from theoretical standards. A table of standards derived from theory is as follows:

Unit Greek name Equivalent Attic/Euboic Standard Aeginetic Standard
obol or obolus ὀβολός 0.72g 1.05g
drachma δραχμή 6 obols 4.31g 6.3g
mina Template:Polytonic 100 drachmae 431g 630g
talent τάλαντον 60 minae 25.86 kg 37.8 kg

Time

Athenians measured the day by sundials and unit fractions. Periods during night or day were measured by a water clock (clepsydra) that dripped at a steady rate and other methods. Whereas the day in our Gregorian calendar commences after midnight, the Greek day began after sunset. Athenians named each year after the Archon Eponymos for that year, and in Hellenistic times years were reckoned in quadrennial epochs according to the Olympiad. The Athenian year was divided into 12 months, with one additional month (poseideon deuteros, 30 days) being inserted between the sixth and seventh months every second year. Even with this intercalary month, the Athenian or Attic calendar was still fairly inaccurate and days had occasionally to be added by the Archon Basileus. The start of the year was at the summer solstice (previously it had been at the winter solstice) and months were named after Athenian religious festivals, 27 mentioned in the Hibah Papyrus, circ 275 BCE.

This section of a frieze from the Elgin Marbles shows a cavalry procession that was part of the quadrennial Greater Panathenaic festival, always held in the month Hekatombion.
Month Greek name Gregorian equivalent
Hecatombaeon Template:Polytonic June-July
Metageitnion Template:Polytonic July-Aug
Boedromion Template:Polytonic Aug-Sept
Pyanepsion Template:Polytonic Sept-Oct
Maemacterion Template:Polytonic Oct-Nov
Poseideon Template:Polytonic Nov-Dec
Gamelion Template:Polytonic Dec-Jan
Anthesterion Template:Polytonic Jan-Feb
Elaphebolion Template:Polytonic Feb-March
Munychion Template:Polytonic March-April
Thargelion Template:Polytonic April-May
Scirophorion Template:Polytonic May-June

Hibeh Papyrus: http://mathforum.org/kb/message.jspa?messageID=7565384&tstart=0, http://planetmath.org/encyclopedia/HibehPapyrus.html

See also

References

  1. ^ "Measures". The Oxford Classical Dictionary. 2003.
  2. Hutton, Charles (1795) A philosophical and mathematical dictionary, containing an explanation of the terms, and an account of the several subjects, comprised under the heads mathematics, astronomy, and philosophy both natural and experimental; with an historical account of the rise, progress and present state of these sciences; also memoirs of the lives and writings of the most eminent authors, both ancient and modern, who by their discoveries or improvements have contributed to the advancement of them 1st ed. London: for J. Johnson Volume 2 p.187
  3. ^ Smith, Sir William; Charles Anthon (1851) A new classical dictionary of Greek and Roman biography, mythology, and geography partly based upon the Dictionary of Greek and Roman biography and mythology New York: Harper & Bros. Table I, page 1024
  4. EIM:Metrology:History. Hellenic Institute of Metrology (EIM). Archived 13 April 2009.
  5. ^ "Weights". The Oxford Classical Dictionary. 2003.

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