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{{Short description|System of measurement used in Ancient Greece}}'''Ancient Greek units of measurement''' varied according to location and epoch. Systems of ] evolved as needs changed; ] and other lawgivers also reformed them ''en bloc''.{{citation needed|date=December 2011}} 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 '']'', where merchants were required to test their measuring devices against official standards.{{citation needed|date=December 2011}} |
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{{Refimprove|date=August 2011}} |
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{{POV-lead|date=August 2011}} |
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'''Ancient Greek units of measurement''' would later create the foundation of ],{{Dubious|date=August 2011}} and formed the basis of the later ]. |
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{{quote|text= |
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''Although we might suggest that the Egyptians had discovered the art of measurement, it is really only with the Greeks that the science of measurement begins to appear. The Greeks' knowledge of geometry, and their early experimentation with weights and measures, soon began to place their measurement system on a more scientific basis. By comparison, Roman science, which came later, was not as advanced...'' |
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({{cite web|title=Early Measurements and Standards|publisher=Canada Science and Technology Museum|url=http://www.sciencetech.technomuses.ca/english/collection/measurement2.cfm|date=2009}}) |
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}} |
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Generally speaking, standards of measurement within the ancient Greek world varied according to location and epoch. Systems of ] evolved as needs changed; ] and other lawgivers also reformed them ''en bloc''. In time, some units of measurement were found to be convenient for trade within the Mediterranean region and these units became more and more common to different city states. Similarly the calibration and use of measuring devices became more sophisticated over time. By about 500 BC, Athens already had its own central depository of official weights and measures — the '']'' — where merchants were required to test their measuring devices against official standards. |
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== Length == |
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== Length == |
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Greek measures of length were based on the relative lengths of parts of the body such as the foot and finger segment. The specific values assigned to these units varied according to location and epoch (e.g., in ] a foot or '''pous''' was approximately 13 inches or 333 mm, whereas in ] (Attica) it was about 11.6 inches or 296 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. |
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Some Greek measures of length were named after parts of the body, such as the {{lang|grc|δάκτυλος}} (''daktylos'', plural: {{lang|grc|δάκτυλοι}} ''daktyloi'') or finger (having the size of a thumb), and the {{lang|grc|πούς}} ('']'', plural: {{lang|grc|πόδες}} ''podes'') or foot (having the size of a shoe). 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/> but the relative proportions were generally the same. |
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{| class="wikitable" style="margin: 1em auto 1em auto" |
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Units derived from the '''dactylos''' (plural: '''dactyloi'''): |
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|+Smaller units of length |
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{| class="wikitable" align="left" style="margin: 1em auto 1em auto; background-color: #ffffff" |
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|- |
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|- |
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! Unit |
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! Unit |
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! Greek name |
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! Greek name |
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! Equal to |
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! Equivalent |
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! Modern equivalent |
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! Description |
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! Description |
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|- |
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|- |
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| daktylos |
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| daktylos |
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| {{Polytonic|δάκτυλος}} |
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| {{lang|grc|δάκτυλος}} |
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| |
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|align="right" |{{convert|19.3|mm|in|abbr=on}} |
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| finger |
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| finger |
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|- |
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|- |
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| kondylos |
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| kondylos |
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| {{Polytonic|κόνδυλος}} |
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| {{lang|grc|κόνδυλος}} |
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| 2 daktyloi |
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|align="right" | 2 daktyloi |
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|align="right" |{{convert|38.5|mm|in|abbr=on}} |
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| middle joint of finger |
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| knuckle |
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|- |
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| palaistē or dōron |
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| palaistē or dōron |
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| {{Polytonic|παλαιστή}}, {{Polytonic|δῶρον}} |
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| {{lang|grc|παλαιστή}}, {{lang|grc|δῶρον}} |
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| 4 daktyloi |
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|align="right" | 4 daktyloi |
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|align="right" |{{convert|77.1|mm|in|abbr=on}} |
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| palm |
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| palm |
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|- |
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| dichas or hēmipodion |
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| dichas or hēmipodion |
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| {{Polytonic|διχάς}}, {{Polytonic|ἡμιπόδιον}} |
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| {{lang|grc|διχάς}}, {{lang|grc|ἡμιπόδιον}} |
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| 8 daktyloi |
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|align="right" | 8 daktyloi |
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|align="right" |{{convert|154.1|mm|in|abbr=on}} |
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| half foot |
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| half foot |
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| lichas |
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| lichas |
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| {{Polytonic|λιχάς}} |
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| {{lang|grc|λιχάς}} |
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| 10 daktyloi |
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|align="right" | 10 daktyloi |
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|align="right" |{{convert|192.6|mm|in|abbr=on}} |
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| span of thumb |
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| distance from thumb-tip to tip of outstretched index finger<ref>{{Cite web|url=https://www.sizes.com/units/lichas.htm|title=What is the unit called a lichas?|website=www.sizes.com}}</ref> |
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|- |
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|- |
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| orthodōron |
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| orthodōron |
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| {{Polytonic|ὀρθόδωρον}} |
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| {{lang|grc|ὀρθόδωρον}} |
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| 11 daktyloi |
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|align="right" | 11 daktyloi |
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|align="right" |{{convert|211.9|mm|in|abbr=on}} |
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| <ref name="EIM">{{cite web|url=http://www.eim.org.gr/html/english/metrology/history/greece.html |title=Metrology - Ancient Greece |accessdate=2007-11-02 |publisher=Hellenic Institute of Metrology (EIM)}}{{Dead link|date=August 2011}}</ref> |
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| straight hand's width |
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|- |
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| spithamē |
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| spithamē |
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| {{Polytonic|σπιθαμή}} |
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| {{lang|grc|σπιθαμή}} |
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| 12 daktyloi |
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|align="right" | 12 daktyloi |
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|align="right" |{{convert|231.2|mm|in|abbr=on}} |
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|span of all fingers |
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|span of all fingers |
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|- |
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| pous |
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| pous |
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| {{Polytonic|ποῦς}} |
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| {{lang|grc|πούς}} |
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| 16 daktyloi |
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|align="right" | 16 daktyloi |
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|align="right" |{{convert|308.2|mm|in|abbr=on}} |
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| foot; Attic foot ≈ 296 mm; Aeginan foot ≈ 333 mm |
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| ] |
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| pygmē |
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| pygmē |
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| {{Polytonic|πυγμή}} |
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| {{lang|grc|πυγμή}} |
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| 18 daktyloi |
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|align="right" | 18 daktyloi |
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|align="right" |{{convert|346.8|mm|in|abbr=on}} |
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| elbow to base of fingers |
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| forearm |
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| pygōn |
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| pygōn |
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| {{Polytonic|πυγών}} |
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| {{lang|grc|πυγών}} |
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| 20 daktyloi |
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|align="right" | 20 daktyloi |
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|align="right" |{{convert|385.3|mm|in|abbr=on}} |
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| distance from elbow to fist |
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| pēchys |
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| pēchys |
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| {{Polytonic|πῆχυς}} |
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| {{lang|grc|πῆχυς}} |
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| 24 daktyloi |
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|align="right" | 24 daktyloi |
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|align="right" |{{convert|462.3|mm|in|abbr=on}} |
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| ] |
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| ] |
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| colspan=5 | {{small|Except where noted, based on Smith (1851).<ref name=smith/> Metric equivalents are approximate.}} |
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| pēchys basilēïos |
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|} |
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| {{Polytonic|πῆχυς βασιλήιος}} |
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{| class="wikitable" style="margin: 1em auto 1em auto" |
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| 27 daktyloi |
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|+'''Smaller units derived from the daktylos''' |
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| royal cubit |
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! |
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!daktylos |
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!kondylos |
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!doron |
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!dichas |
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!lichas |
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!orthodoron |
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!spithame |
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!pous |
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!pygme |
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!pygon |
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!pechus |
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!royal pechus |
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|- |
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|- |
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!daktylos |
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|}{{-}} |
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|1 |
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|{{frac|2}} |
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Larger units derived from the '''pous''' (plural: '''podes'''): |
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|{{frac|4}} |
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|{{frac|8}} |
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{| class="wikitable" align="left" style="margin: 1em auto 1em auto; background-color: #ffffff" |
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|{{frac|10}} |
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|{{frac|11}} |
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|{{frac|12}} |
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|{{frac|16}} |
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|{{frac|18}} |
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|{{frac|20}} |
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|{{frac|24}} |
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|{{frac|27}} |
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|- |
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!kondylos |
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|2 |
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|1 |
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|{{frac|2}} |
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|{{frac|4}} |
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|{{frac|5}} |
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|{{frac|2|11}} |
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|{{frac|6}} |
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|{{frac|8}} |
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|{{frac|9}} |
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|{{frac|10}} |
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|{{frac|12}} |
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|{{frac|2|27}} |
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|- |
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!doron |
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|4 |
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|2 |
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|1 |
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|{{frac|2}} |
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|{{frac|2|5}} |
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|{{frac|4|11}} |
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|{{frac|3}} |
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|{{frac|4}} |
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|{{frac|2|9}} |
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|{{frac|5}} |
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|{{frac|6}} |
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|{{frac|4|27}} |
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|- |
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!dichas |
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|8 |
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|4 |
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|2 |
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|1 |
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|{{frac|4|5}} |
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|{{frac|8|11}} |
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|{{frac|2|3}} |
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|{{frac|2}} |
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|{{frac|4|9}} |
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|{{frac|2|5}} |
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|{{frac|3}} |
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|{{frac|8|27}} |
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|- |
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!lichas |
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|10 |
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|5 |
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|{{frac|2|1|2}} |
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|{{frac|1|1|4}} |
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|1 |
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|{{frac|10|11}} |
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|{{frac|5|6}} |
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|{{frac|5|8}} |
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|{{frac|5|9}} |
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|{{frac|2}} |
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|{{frac|5|12}} |
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|{{frac|10|27}} |
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|- |
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!orthodoron |
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|11 |
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|{{frac|5|1|2}} |
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|{{frac|2|3|4}} |
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|{{frac|1|3|8}} |
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|{{frac|1|1|10}} |
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|1 |
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|{{frac|11|12}} |
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|{{frac|11|16}} |
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|{{frac|11|18}} |
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|{{frac|11|20}} |
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|{{frac|11|24}} |
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|{{frac|11|27}} |
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|- |
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!spithame |
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|12 |
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|6 |
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|3 |
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|{{frac|1|1|2}} |
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|{{frac|1|1|5}} |
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|{{frac|1|1|11}} |
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|1 |
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|{{frac|3|4}} |
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|{{frac|2|3}} |
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|{{frac|3|5}} |
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|{{frac|2}} |
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|{{frac|4|9}} |
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|- |
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!pous |
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|16 |
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|8 |
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|4 |
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|2 |
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|{{frac|1|3|5}} |
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|{{frac|1|5|11}} |
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|{{frac|1|1|3}} |
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|1 |
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|{{frac|8|9}} |
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|{{frac|4|5}} |
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|{{frac|2|3}} |
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|{{frac|16|27}} |
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|- |
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!pygme |
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|18 |
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|9 |
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|{{frac|4|1|2}} |
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|{{frac|2|1|4}} |
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|{{frac|1|4|5}} |
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|{{frac|1|7|11}} |
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|{{frac|1|1|2}} |
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|{{frac|1|1|8}} |
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|1 |
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|{{frac|9|10}} |
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|{{frac|3|4}} |
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|{{frac|2|3}} |
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|- |
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!pygon |
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|20 |
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|10 |
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|5 |
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|{{frac|2|1|2}} |
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|2 |
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|{{frac|1|9|11}} |
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|{{frac|1|2|3}} |
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|{{frac|1|1|4}} |
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|{{frac|1|1|9}} |
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|1 |
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|{{frac|5|6}} |
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|{{frac|20|27}} |
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|- |
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!pechus |
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|24 |
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|12 |
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|6 |
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|3 |
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|{{frac|2|2|5}} |
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|{{frac|2|2|11}} |
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|2 |
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|{{frac|1|1|2}} |
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|{{frac|1|1|3}} |
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|{{frac|1|1|5}} |
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|1 |
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|{{frac|8|9}} |
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|- |
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!royal pechus |
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|27 |
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|{{frac|13|1|2}} |
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|{{frac|6|3|4}} |
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|{{frac|3|3|8}} |
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|{{frac|2|7|10}} |
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|{{frac|2|5|11}} |
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|{{frac|2|1|4}} |
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|{{frac|1|11|16}} |
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|{{frac|1|1|2}} |
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|{{frac|1|7|20}} |
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|{{frac|1|1|8}} |
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|1 |
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|'''meters''' |
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|'''0.01926''' |
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|'''0.03853''' |
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|'''0.07706''' |
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|'''0.15411''' |
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|'''0.19264''' |
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|'''0.21191''' |
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|'''0.23117''' |
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|'''0.30823''' |
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|'''0.34676''' |
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|'''0.38529''' |
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|'''0.46234''' |
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|'''0.52014''' |
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|} |
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{| class="wikitable" style="margin: 1em auto 1em auto" |
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|+Larger units of length |
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|- |
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|- |
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! Unit |
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! Unit |
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! Greek name |
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! Greek name |
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! Equal to |
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! Equivalent |
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! Modern equivalent |
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! Description |
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! Description |
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|- |
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|- |
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| pous |
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| pous |
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| {{Polytonic|ποῦς}} |
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| {{lang|grc|πούς}} |
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| 16 daktyloi |
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|align="right" |{{convert|0.308|m|ft|abbr=on}} |
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| foot; Attic foot ≈ 296 mm |
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| foot |
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|- |
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|- |
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| haploun bēma |
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| haploun bēma<ref name=EIM/> |
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| {{Polytonic|ἁπλοῦν βῆμα}} |
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| {{lang|grc|ἁπλοῦν βῆμα}} |
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| 2.5 podes |
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|align="right" | {{frac|2|1|2}} podes |
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|align="right" |{{convert|0.77|m|ft|abbr=on}} |
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| single pace |
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| step |
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|- |
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|- |
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| diploun bēma |
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| bēma,<ref name=smith/> diploun bēma<ref name=EIM/> |
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| {{Polytonic|διπλοῦν βῆμα}} |
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| {{lang|grc|βῆμα, διπλοῦν βῆμα}} |
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| 5 podes |
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|align="right" | 5 podes |
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|align="right" |{{convert|1.54|m|ft|abbr=on}} |
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| double pace <ref name="EIM"/> |
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| ] |
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|- |
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|- |
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| orgyia |
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| orgyia |
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| {{Polytonic|ὀργυιά}} |
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| {{lang|grc|ὄργυια}} |
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| 6 podes |
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|align="right" | 6 podes |
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|align="right" |{{convert|1.85|m|ft|abbr=on}} |
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| ] or stretch of both arms |
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| ] |
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|- |
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|- |
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| akaina |
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| kalamos, akaina or dekapous |
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| {{Polytonic|ἄκαινα}} |
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| {{lang|grc|κάλαμος, ἄκαινα, δεκάπους}} |
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| 10 podes |
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|align="right" | 10 podes |
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|align="right" |{{convert|3.08|m|ft|abbr=on}} |
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| <ref name="EIM"/> |
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|10 feet |
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|- |
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|- |
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| hamma |
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| plethron |
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| {{Polytonic|πλέθρον}} |
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| {{lang|grc|ἅμμα}} |
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| 100 podes |
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|align="right" | 60 podes |
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|align="right" |{{convert|18.5|m|yd|abbr=on}} |
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| breadth of Greek acre |
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| knot, link of a chain |
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|- |
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| ] |
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| {{lang|grc|πλέθρον}} |
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|align="right" | 100 podes |
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|align="right" |{{convert|30.8|m|yd|abbr=on}} |
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|100 feet |
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|- |
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|- |
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| ] |
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| ] |
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| {{Polytonic|στάδιον}} |
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| {{lang|grc|στάδιον}} |
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| 600 podes |
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|align="right" | 600 podes |
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|align="right" |{{convert|184.9|m|yd|abbr=on}} |
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| Attic stadion ≈ 185 m |
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| an eighth of a Roman mile |
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|- |
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|- |
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| ] |
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| ] |
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| {{Polytonic|δίαυλος}} |
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| {{lang|grc|δίαυλος}} |
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| 2 stadia |
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|align="right" | 2 stadia |
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|align="right" |{{convert|369.9|m|yd|abbr=on}} |
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| |
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|double pipe |
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|- |
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|- |
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| hippikon |
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| hippikon |
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| {{Polytonic|ἱππικόν}} |
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| {{lang|grc|ἱππικόν}} |
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| 4 stadia |
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|align="right" | 4 stadia |
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|align="right" |{{convert|739.7|m|yd|abbr=on}} |
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|
|
|length of a ]<ref>{{Cite book|url=http://books.openedition.org/efa/6487|title=Les hippodromes et les concours hippiques dans la grèce antique|first=Werner|last=Petermandl|chapter=On the length of the Greek hippodrome|series=Suppléments du BCH|editor1-first=Jean-Charles|editor1-last=Moretti|editor2-first=Panos|editor2-last=Valavanis|date=November 19, 2020|publisher=École française d’Athènes|pages=133–144|isbn=9782869584662|via=OpenEdition Books}}</ref> |
|
|- |
|
|- |
|
|
| milion |
|
| ] |
|
|
| {{Polytonic|δόλιχος}} |
|
| {{lang|grc|μίλιον}} |
|
| 12 stadia |
|
|align="right" | 8 stadia |
|
|
|align="right" |{{convert|1.479|km|yd|abbr=on}} |
|
| |
|
|
|
|] |
|
|- |
|
|- |
|
|
| ]<ref name=EIM/> |
|
| ]a |
|
|
|
| {{lang|grc|δόλιχος}} |
|
| {{Polytonic|παρασάγγες}} |
|
|
| 30 stadia |
|
|align="right" | 12 stadia |
|
|
|align="right" |{{convert|2.219|km|mi|abbr=on}} |
|
| adopted from ] |
|
|
|
|long race |
|
|- |
|
|- |
|
|
| ]es, or league<ref name="XenophonAnabasis">Xenophon, ''Anabasis''. ca 400 B.C.</ref> |
|
| schoinos |
|
|
|
| {{lang|grc|παρασάγγης}} |
|
| {{Polytonic|σχοινός}} |
|
|
| 40 stadia |
|
|align="right" | 30 stadia |
|
|
|align="right" |{{convert|5.548|km|mi|abbr=on}} |
|
| adopted from ] |
|
|
|
| adopted from ]<ref name=EIM/> |
|
|}{{-}} |
|
|
|
|- |
|
|
| ] |
|
|
| {{lang|grc|σχοινός}} |
|
|
|align="right" | 40 stadia |
|
|
|align="right" |{{convert|7.397|km|mi|abbr=on}} |
|
|
| adopted from ]<ref name=EIM/> |
|
|
|- |
|
|
| stage<ref name="XenophonAnabasis" /> |
|
|
| |
|
|
|align="right" | 160 stadia |
|
|
|align="right" |{{convert|29.8|km|mi|abbr=on}} |
|
|
| |
|
|
|- |
|
|
| colspan=5 | {{small|Except where noted, based on Smith (1851).<ref name=smith/> Metric equivalents are approximate.}} |
|
|
|} |
|
|
{| class="wikitable" style="margin: 1em auto 1em auto" |
|
|
|+Larger units derived from the pous |
|
|
! |
|
|
!pous |
|
|
!bema haplun |
|
|
!bema diplun |
|
|
!orguia |
|
|
!akaina |
|
|
!hamma |
|
|
!plethron |
|
|
!stadion |
|
|
|- |
|
|
!pous |
|
|
|1 |
|
|
|{{frac|2|5}} |
|
|
|{{frac|5}} |
|
|
|{{frac|6}} |
|
|
|{{frac|10}} |
|
|
|{{frac|60}} |
|
|
|{{frac|100}} |
|
|
|{{frac|600}} |
|
|
|- |
|
|
!bema haplun |
|
|
|{{frac|2|1|2}} |
|
|
|1 |
|
|
|{{frac|2}} |
|
|
|{{frac|5|12}} |
|
|
|{{frac|4}} |
|
|
|{{frac|24}} |
|
|
|{{frac|40}} |
|
|
|{{frac|240}} |
|
|
|- |
|
|
!bema diplun |
|
|
|5 |
|
|
|2 |
|
|
|1 |
|
|
|{{frac|5|6}} |
|
|
|{{frac|2}} |
|
|
|{{frac|12}} |
|
|
|{{frac|20}} |
|
|
|{{frac|120}} |
|
|
|- |
|
|
!orguia |
|
|
|6 |
|
|
|{{frac|2|2|5}} |
|
|
|{{frac|1|1|5}} |
|
|
|1 |
|
|
|{{frac|3|5}} |
|
|
|{{frac|10}} |
|
|
|{{frac|3|50}} |
|
|
|{{frac|100}} |
|
|
|- |
|
|
!akaina |
|
|
|10 |
|
|
|4 |
|
|
|2 |
|
|
|{{frac|1|2|3}} |
|
|
|1 |
|
|
|{{frac|6}} |
|
|
|{{frac|10}} |
|
|
|{{frac|60}} |
|
|
|- |
|
|
!hamma |
|
|
|60 |
|
|
|24 |
|
|
|12 |
|
|
|10 |
|
|
|6 |
|
|
|1 |
|
|
|{{frac|3|5}} |
|
|
|{{frac|10}} |
|
|
|- |
|
|
!plethron |
|
|
|100 |
|
|
|40 |
|
|
|20 |
|
|
|{{frac|16|2|3}} |
|
|
|10 |
|
|
|{{frac|1|2|3}} |
|
|
|1 |
|
|
|{{frac|6}} |
|
|
|- |
|
|
!stadion |
|
|
|600 |
|
|
|240 |
|
|
|120 |
|
|
|100 |
|
|
|60 |
|
|
|10 |
|
|
|6 |
|
|
|1 |
|
|
|- |
|
|
|'''meters''' |
|
|
|'''0.30823''' |
|
|
|'''0.77057''' |
|
|
|'''1.54115''' |
|
|
|'''1.8494''' |
|
|
|'''3.0823''' |
|
|
|'''18.4938''' |
|
|
|'''30.823''' |
|
|
|'''184.94''' |
|
|
|} |
|
|
{{-}} |
|
|
|
|
|
== Area == |
|
== 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 <ref name=measures/>. |
|
|
|
|
|
|
|
The ordinary units used for land measurement were: |
|
== Volume == |
|
|
] depicting an athlete running the ] by the Berlin Painter, ca. 480 BC, Louvre. The average wine ] 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.)<ref name=measures/>: |
|
|
|
|
|
|
|
{| class="wikitable" style="margin: 1em auto 1em auto" |
|
'''Dry measure''' |
|
|
|
|+ Units of surface measurement |
|
{| class="wikitable" width="375px" style="margin: 1em auto 1em auto; background-color: #ffffff" |
|
|
|
|- |
|
! Unit |
|
! Unit |
|
! Greek name |
|
! Greek name |
|
|
! Equal to |
|
! Equivalent |
|
|
|
! Modern equivalent |
|
! Description |
|
! Description |
|
|- |
|
|- |
|
|
| pous |
|
| ] |
|
|
|
| {{lang|grc|πούς}} |
|
| κοτύλη |
|
|
| |
|
| |
|
|
|align="right" |{{convert|0.095|m2|sqft|abbr=on}} |
|
| 276ml |
|
|
|
| square foot |
|
|- |
|
|- |
|
|
| hexapodēs |
|
| choenix |
|
|
|
| {{lang|grc|ἑξαπόδης}} |
|
| {{polytonic|χοῖνιξ}} |
|
|
|
|align="right" | 36 podes |
|
| 4 cotylae |
|
|
|
|align="right" |{{convert|3.42|m2|sqft|abbr=on}} |
|
| approx 1 man's daily grain ration |
|
|
|
| square six-foot |
|
|- |
|
|- |
|
| hecteus |
|
| akaina |
|
| {{polytonic|ἑκτεύς}} |
|
| {{lang|grc|ἄκαινα}} |
|
|
|align="right" | 100 podes |
|
| 8 choenices |
|
|
|
|align="right" |{{convert|9.50|m2|sqft|abbr=on}} |
|
| |
|
|
|
| rod |
|
|- |
|
|- |
|
|
| hēmiektos |
|
| medimnos |
|
|
|
| {{lang|grc|ἡμίεκτος}} |
|
| μέδιμνος |
|
|
|
|align="right" | {{frac|833|1|3}} podes |
|
| 6 hecteis |
|
|
|
|align="right" |{{convert|79.2|m2|sqft|abbr=on}} |
|
|
| half a sixth |
|
|
|- |
|
|
| hektos |
|
|
| {{lang|grc|ἕκτος}} |
|
|
|align="right" | {{frac|1,666|2|3}} podes |
|
|
|align="right" |{{convert|158.3|m2|sqft|abbr=on}} |
|
|
| a sixth of a plethron |
|
|
|- |
|
|
| aroura |
|
|
| {{lang|grc|ἄρουρα}} |
|
|
|align="right" | 2,500 podes |
|
|
|align="right" |{{convert|237.5|m2|sqft|abbr=on}} |
|
|
| field |
|
|
|- |
|
|
| plethron |
|
|
| {{lang|grc|πλέθρον}} |
|
|
|align="right" | 10,000 podes |
|
|
|align="right" |{{convert|950|m2|sqft|abbr=on}} |
|
| |
|
| |
|
|
|- |
|
|
| colspan=5 style= "font-size:smaller" | Except where noted, based on Smith (1851).<ref name=smith/> Metric equivalents are approximate. |
|
|
|}{{-}} |
|
|
|
|
|
==Volume== |
|
|
{| style="float: right; border: 1px solid #BBB; margin: .46em 0 0 .2em;" |
|
|
|- style="font-size: 90%;" |
|
|
| valign="top" |]<!-- |
|
|
--><br /> ] depicting an athlete<br>running the ] by the Berlin<br>Painter, {{c.|480 BC}}, Louvre. |
|
|} |
|
|} |
|
|
Greeks measured volume according to either solids or liquids, 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 210 ml and 330 ml.<ref name=measures/> The basic unit for both solid and liquid measures was the {{lang|grc|κύαθος}} (kyathos, plural: kyathoi).<ref name=EIM/> |
|
|
|
|
|
The Attic liquid measures were: |
|
|
|
|
|
|
{| class="wikitable" style="float: center; margin: 1em auto 1em auto" |
|
'''Liquid measure''' |
|
|
|
|+Attic measures of liquid capacity |
|
{| class="wikitable" width="375px" style="margin: 1em auto 1em auto; background-color: #ffffff; width:425px" |
|
|
! Unit |
|
! Unit |
|
! Greek name |
|
! Greek name |
|
|
! Equal to |
|
! Equivalent |
|
|
|
! Modern equivalent |
|
! Description |
|
! Description |
|
|
|- |
|
|
| kochliarion |
|
|
| {{lang|grc|κοχλιάριον}} |
|
|
| |
|
|
|align="right" |{{convert|4.5|mL|USoz impoz|abbr=on}} |
|
|
|spoon |
|
|- |
|
|- |
|
|
| chēmē |
|
| ] |
|
|
|
| {{lang|grc|χήμη}} |
|
| κοτύλη |
|
|
|
|align="right" |2 kochliaria |
|
| |
|
|
|
| align="right" |{{convert|9.1|mL|USoz impoz|abbr=on}} |
|
| approx a cup |
|
|
|
| a ]<ref>{{Cite web|url=https://books.google.com/books?id=am2RYwGZgowC&q=%CF%87%CE%AE%CE%BC%CE%B7+measure|title=Outlines of Sociology|first=Elster F.|last=Ward|date=February 2, 1899|via=Google Books}}</ref> |
|
|- |
|
|- |
|
|
| mystron |
|
| hemichous |
|
|
| {{polytonic|ἡμίχουν}} |
|
| {{lang|grc|μύστρον}} |
|
|
|align="right" |{{frac|2|1|2}} kochliaria |
|
| 6 cotylae |
|
|
|
| align="right" |{{convert|11.4|mL|USoz impoz|abbr=on}} |
|
| |
|
|
|
|Roman ''ligula'' |
|
|
|- |
|
|
| konchē |
|
|
| {{lang|grc|κόγχη}} |
|
|
|align="right" |5 kochliaria |
|
|
| align="right" |{{convert|22.7|mL|USoz impoz|abbr=on}} |
|
|
|shell-full |
|
|
|- |
|
|
| kyathos |
|
|
| {{lang|grc|κύαθος}} |
|
|
|align="right" | 10 kochliaria |
|
|
| align="right" |{{convert|45.5|mL|USoz impoz|abbr=on}} |
|
|
|Roman ''cyathus'' |
|
|
|- |
|
|
| oxybaphon |
|
|
| {{lang|grc|ὀξυβαφον}} |
|
|
|align="right" |{{frac|1|1|2}} kyathoi |
|
|
| align="right" |{{convert|68.2|mL|USoz impoz|abbr=on}} |
|
|
|Roman ''acetabulum'' |
|
|
|- |
|
|
| tetarton,<ref name=smith/> hēmikotylē<ref name=EIM/> |
|
|
| {{lang|grc|τέταρτον, ἡμικοτύλη}} |
|
|
|align="right" |3 kyathoi |
|
|
| align="right" |{{convert|136.4|mL|USoz impoz|abbr=on}} |
|
|
|Roman ''quartarius'' |
|
|
|- |
|
|
| kotylē, tryblion or hēmina |
|
|
| {{lang|grc|κοτύλη, τρύβλιον, ἡμίνα}} |
|
|
|align="right" |6 kyathoi |
|
|
| align="right" |{{convert|272.8|mL|USoz impoz|abbr=on}} |
|
|
|Roman ''cotyla'' or ''hemina'' |
|
|
|- |
|
|
| xestēs |
|
|
| {{lang|grc|ξέστης}} |
|
|
|align="right" |12 kyathoi |
|
|
| align="right" |{{convert|545.5|mL|USpt imppt|3|abbr=on}} |
|
|
|Roman ''sextarius'' |
|
|- |
|
|- |
|
| chous |
|
| chous |
|
| {{polytonic|χοῦς}} |
|
| {{lang|grc|χοῦς}} |
|
|
| align="right" |72 kyathoi |
|
| 12 cotylae |
|
|
|
| align="right" |{{convert|3.27|L|USpt imppt|abbr=on}} |
|
|
|Roman ''congius'' |
|
|
|- |
|
|
| keramion |
|
|
| {{lang|grc|κεράμιον}} |
|
|
| align="right" |8 choes |
|
|
| align="right" |{{convert|26.2|L|USgal impgal|abbr=on}} |
|
|
|Roman ''amphora quadrantal'' |
|
|
|- |
|
|
| ] |
|
|
| {{lang|grc|μετρητής}} |
|
|
| align="right" |12 choes |
|
|
| align="right" |{{convert|39.3|L|USgal impgal|abbr=on}} |
|
|
|amphora |
|
|
|- |
|
|
| colspan=5 style= "font-size:smaller" | Except where noted, based on Smith (1851).<ref name=smith/> Metric equivalents are approximate. |
|
|
|}{{-}} |
|
|
] holding a set of scales; in the ] he proclaims "A ''choinix'' of ] for a ], and three ''choinikes'' of ] for a denarius;" indicating high food prices during a ].<ref>{{cite book|last1=Mounce|first1=Robert H.|title=The Book of Revelation|date=2006|publisher=Eerdmans|location=Grand Rapids, Mich. |isbn=9780802825377|page=140|url=https://books.google.com/books?id=06VR1JzzLNsC&q=interpretation%20of%20revelation&pg=PA140|access-date=2015-04-10}}</ref> |
|
|
]] |
|
|
and the Attic dry measures of capacity were: |
|
|
|
|
|
{| class="wikitable" style="margin: 1em auto 1em auto" |
|
|
|+Attic measures of dry capacity |
|
|
! Unit |
|
|
! Greek name |
|
|
! Equal to |
|
|
! Modern equivalent |
|
|
! Description |
|
|
|- |
|
|
| kochliarion |
|
|
| {{lang|grc|κοχλιάριον}} |
|
|
| |
|
|
|align="right" |{{convert|4.5|mL|USoz impoz|abbr=on}} |
|
| |
|
| |
|
|- |
|
|- |
|
|
| kyathos |
|
| metretes |
|
|
|
| {{lang|grc|κύαθος}} |
|
| μετρητής |
|
|
|
|align="right" | 10 kochliaria |
|
| 144 cotylae |
|
|
|
| align="right" |{{convert|45.5|mL|USoz impoz|abbr=on}} |
|
| approx 1 ] wine |
|
|
|
|Roman ''cyathus'' |
|
|
|- |
|
|
| oxybaphon |
|
|
| {{lang|grc|ὀξυβαφον}} |
|
|
|align="right" |{{frac|1|1|2}} kyathoi |
|
|
| align="right" |{{convert|68.2|mL|USoz impoz|abbr=on}} |
|
|
|Roman ''acetabulum'' |
|
|
|- |
|
|
| kotylē or hēmina |
|
|
| {{lang|grc|κοτύλη, ἡμίνα}} |
|
|
|align="right" |6 kyathoi |
|
|
| align="right" |{{convert|272.8|mL|USoz impoz|abbr=on}} |
|
|
|Roman ''cotyla'' or ''hemina'' |
|
|
|- |
|
|
| xestēs |
|
|
| {{lang|grc|ξέστης}} |
|
|
|align="right" |12 kyathoi |
|
|
| align="right" |{{convert|545.5|mL|USpt imppt|3|abbr=on}} |
|
|
|Roman ''sextarius'' |
|
|
|- |
|
|
| choinix |
|
|
| {{lang|grc|χοῖνιξ}} |
|
|
| align="right" |24 kyathoi |
|
|
| align="right" |{{convert|1.09|L|USpt imppt|abbr=on}} |
|
|
| |
|
|
|- |
|
|
| hēmiekton |
|
|
| {{lang|grc|ἡμίεκτον}} |
|
|
|align="right" | 4 choinikes |
|
|
| align="right" |{{convert|4.36|L|USgal impgal|abbr=on}} |
|
|
|Roman ''semimodius'' |
|
|
|- |
|
|
| hekteus |
|
|
| {{lang|grc|ἑκτεύς}} |
|
|
|align="right" | 8 choinikes |
|
|
| align="right" |{{convert|8.73|L|USgal impgal|abbr=on}} |
|
|
|Roman ''modius'' |
|
|
|- |
|
|
| ] |
|
|
| μέδιμνος |
|
|
|align="right" | 48 choinikes |
|
|
| align="right" |{{convert|52.4|L|USgal impgal|abbr=on}} |
|
|
| |
|
|- |
|
|- |
|
|
| colspan=5 style= "font-size:smaller" | Except where noted, based on Smith (1851).<ref name=smith/> Metric equivalents are approximate. |
|
|}{{-}} |
|
|}{{-}} |
|
|
|
|
|
== Currency == |
|
== Currency == |
|
|
|
|
|
|
The basic unit of Athenian currency was the '''obol''', weighing approximately 0.72 grams of silver:<ref>British Museum Catalogue 11 - Attica Megaris Aegina</ref><ref>{{Cite web |url=http://www.tulane.edu/~august/H310/handouts/Coinage.htm |title=History 310: Greek Coinage and Measures |access-date=July 31, 2005 |archive-date=May 4, 2015 |archive-url=https://web.archive.org/web/20150504125619/http://www.tulane.edu/~august/H310/handouts/Coinage.htm |url-status=bot: unknown }}</ref> |
|
The basic unit of Athenian currency was the '''obol''': |
|
|
] |
|
] |
|
|
|
|
|
{| class="wikitable" style="margin: 1em auto 1em auto; background-color: #ffffff" |
|
{| class="wikitable" style="margin: 1em auto 1em auto" |
|
! Unit |
|
! Unit |
|
! Greek name |
|
! Greek name |
|
! Equivalent |
|
! Equivalent |
|
|
! Weight |
|
|- |
|
|- |
|
| obol or ] |
|
| obol or ] |
|
| ὀβολός |
|
| {{lang|grc|ὀβολός}} |
|
|
| {{frac|6}} drachma, 4 tetartemorions |
|
| 0.56 g |
|
|
|
| {{convert|0.72|g|ozt|abbr=on}} |
|
|- |
|
|- |
|
| ] |
|
| ] |
|
| δραχμή |
|
| {{lang|grc|δραχμή}} |
|
| 6 obols |
|
| 6 obols |
|
|
| {{convert|4.3|g|ozt|abbr=on}} |
|
|- |
|
|- |
|
| mina |
|
| mina |
|
| μνᾶ |
|
| {{lang|grc|μνᾶ}} |
|
| 100 drachmae |
|
| 100 drachmae |
|
|
| |
|
|- |
|
|- |
|
| ] |
|
| ] |
|
|τάλαντον |
|
|{{lang|grc|τάλαντον}} |
|
| 60 minae |
|
| 60 minae |
|
|
| |
|
|} |
|
|} |
|
|
|
|
|
== Weight == |
|
==Mass== |
|
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.<ref name=weights>{{cite encyclopedia|title=Weights|encyclopedia=The Oxford Classical Dictionary|date=2003}}</ref> There were two dominant standards of weight in the eastern Mediterranean - a standard that originated in ] and that was subsequently introduced to ] by ], and also a standard that originated in ]. 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:<ref name=weights/> |
|
Mass is 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 mass and a currency. Greek masses similarly bear a nominal resemblance to Greek currency yet the origin of the Greek standards of weights is often disputed.<ref name=weights/> There were two dominant standards of weight in the eastern Mediterranean: a standard that originated in ] and that was subsequently introduced to ] by ], and also a standard that originated in ]. 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:<ref name=weights/> |
|
::{| class="wikitable" style="margin: 1em auto 1em auto; background-color: #ffffff" |
|
::{| class="wikitable" style="margin: 1em auto 1em auto" |
|
! Unit |
|
! Unit |
|
! Greek name |
|
! Greek name |
|
! Equivalent |
|
! Equivalent |
|
|
! Metric Equivalent |
|
! Attic/Euboic Standard |
|
|
! Aeginetic Standard |
|
! Aeginetic standard |
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|- |
|
|- |
|
| obol or ] |
|
| obol or ] |
|
|
| {{lang|grc|ὀβολός}} <ref>{{LSJ|o)bolo/s|ὀβολός|cite}}</ref> |
|
| ὀβολός |
|
|
| |
|
| |
|
|
| {{convert|0.72|g|oz|abbr=on}} |
|
| 0.72g |
|
|
|
| {{convert|1.05|g|oz|abbr=on}} |
|
| 1.05g |
|
|
|- |
|
|- |
|
| ] |
|
| ] |
|
|
| {{lang|grc|δραχμή}} <ref>{{LSJ|draxmh/|δραχμή|cite}}</ref> |
|
| δραχμή |
|
|
| 6 obols |
|
| 6 obols |
|
|
| {{convert|4.31|g|oz|abbr=on}} |
|
| 4.31g |
|
|
|
| {{convert|6.3|g|oz|abbr=on}} |
|
| 6.3g |
|
|
|- |
|
|- |
|
| mina |
|
| mina |
|
| {{polytonic|μνᾶ}} |
|
| {{lang|grc|μνᾶ}} <ref>{{LSJ|mna=|μνᾶ|cite}}</ref> |
|
| 100 drachmae |
|
| 100 drachmae |
|
|
| {{convert|431|g|oz|abbr=on}} |
|
| 431g |
|
|
|
| {{convert|630|g|oz|abbr=on}} |
|
| 630g |
|
|
|- |
|
|- |
|
| talent |
|
| talent |
|
|τάλαντον |
|
|{{lang|grc|τάλαντον}} <ref>{{LSJ|ta/lanton|τάλαντον|cite}}</ref> |
|
| 60 minae |
|
| 60 minae |
|
| 25.86 kg |
|
| {{convert|25.86|kg|lb|abbr=on}} |
|
| 37.8 kg |
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| {{convert|37.8|kg|lb|abbr=on}} |
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|} |
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|} |
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|
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|
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== Time == |
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== Time == |
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Athenians measured the day by ]s and unit fractions. Periods during night or day were measured by a ] (''clepsydra'') that dripped at a steady rate and other methods. Whereas the day in our ] commences after midnight, the Greek day began after sunset. Athenians named each year after the ] Eponymos for that year, and in Hellenistic times years were reckoned in quadrennial epochs according to the ]. 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 ] month, the Athenian or ] was still fairly inaccurate and days had occasionally to be added by the ] Basileus. The start of the year was at the ] (previously it had been at the ]) and months were named after Athenian religious festivals, 27 mentioned in the Hibah Papyrus, circ 275 BCE. |
|
Athenians measured the day by ]s and unit fractions. Periods during night or day were measured by a ] (''clepsydra'') that dripped at a steady rate and other methods. Whereas the day in the ] commences after midnight, the Greek day began after sunset. Athenians named each year after the ] Eponymous for that year, and in Hellenistic times years were reckoned in quadrennial epochs according to the ]. |
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|
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|
|
In archaic and early classical Greece, months followed the cycle of the Moon which made them not fit exactly into the length of the solar year. Thus, if not corrected, the same month would migrate slowly into different seasons of the year. The Athenian year was divided into 12 months, with one additional month (''Poseidon deuterons'', thirty days) being inserted between the sixth and seventh months every second year. Even with this ] month, the Athenian or ] was still fairly inaccurate and days had occasionally to be added by the ] Basileus. The start of the year was at the ] (previously it had been at the ]) and months were named after Athenian religious festivals, 27 mentioned in the Hibah Papyrus, circa 275 BC. |
|
] shows a cavalry procession that was part of the quadrennial Greater Panathenaic festival, always held in the month Hekatombion.]] |
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{| class="wikitable" align="left" width="275px" style="margin: 1em auto 1em auto; background-color: #ffffff" |
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] shows a cavalry procession that was part of the quadrennial Greater Panathenaic festival, always held in the month Hekatombion.]] |
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|
{| class="wikitable" style="margin: 1em auto 1em auto" |
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! Month |
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! Month |
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! Greek name |
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! Greek name |
Line 291: |
Line 782: |
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|- |
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|- |
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| Hecatombaeon |
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| Hecatombaeon |
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|
| {{lang|grc|Ἑκατομβαιών}} |
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| {{Polytonic|Ἐκατομβαιών}} |
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|
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| June–July |
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| June-July |
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|- |
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|- |
|
| Metageitnion |
|
| Metageitnion |
|
| {{Polytonic|Μεταγειτνιών}} |
|
| {{lang|grc|Μεταγειτνιών}} |
|
|
| July–August |
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| July-Aug |
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|- |
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|- |
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| Boedromion |
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| Boedromion |
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| {{Polytonic|Βοηδρομιών}} |
|
| {{lang|grc|Βοηδρομιών}} |
|
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| August–September |
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| Aug-Sept |
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|
|- |
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|- |
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| Pyanepsion |
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| Pyanepsion |
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| {{Polytonic|Πυανεψιών}} |
|
| {{lang|grc|Πυανεψιών}} |
|
|
| September–October |
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| Sept-Oct |
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|- |
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|- |
|
| Maemacterion |
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| Maemacterion |
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| {{Polytonic|Μαιμακτηριών}} |
|
| {{lang|grc|Μαιμακτηριών}} |
|
|
| October–November |
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| Oct-Nov |
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|- |
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|- |
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| Poseideon |
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| Poseideon |
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| {{Polytonic|Ποσειδεών}} |
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| {{lang|grc|Ποσειδεών}} |
|
|
| November–December |
|
| Nov-Dec |
|
|
|- |
|
|- |
|
| Gamelion |
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| Gamelion |
|
| {{Polytonic|Γαμηλιών}} |
|
| {{lang|grc|Γαμηλιών}} |
|
|
| December–January |
|
| Dec-Jan |
|
|
|- |
|
|- |
|
| Anthesterion |
|
| Anthesterion |
|
| {{Polytonic|Ἀνθεστηριών}} |
|
| {{lang|grc|Ἀνθεστηριών}} |
|
|
| January–February |
|
| Jan-Feb |
|
|
|- |
|
|- |
|
| Elaphebolion |
|
| Elaphebolion |
|
| {{Polytonic|Ἐλαφηβολιών}} |
|
| {{lang|grc|Ἐλαφηβολιών}} |
|
|
| February–March |
|
| Feb-March |
|
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|- |
|
|- |
|
| Munychion |
|
| Munychion |
|
| {{Polytonic|Μουνυχιών}} |
|
| {{lang|grc|Μουνυχιών}} |
|
|
| March–April |
|
| March-April |
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|- |
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|- |
|
| Thargelion |
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| Thargelion |
|
| {{Polytonic|Θαργηλιών}} |
|
| {{lang|grc|Θαργηλιών}} |
|
|
| April–May |
|
| April-May |
|
|
|- |
|
|- |
|
| Scirophorion |
|
| Scirophorion |
|
| {{Polytonic|Σκιροφοριών}} |
|
| {{lang|grc|Σκιροφοριών}} |
|
|
| May–June |
|
| May-June |
|
|
|}{{-}} |
|
|}{{-}} |
|
Hibeh Papyrus: http://mathforum.org/kb/message.jspa?messageID=7565384&tstart=0, http://planetmath.org/encyclopedia/HibehPapyrus.html |
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==See also== |
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==See also== |
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* ] |
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* ] |
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* ] |
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* ] |
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* ] |
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* {{C|Obsolete units of measure}} |
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* ] |
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==References== |
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==References== |
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{{Reflist}} |
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{{Reflist|refs= |
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<ref name=EIM>EIM:Metrology:History. Hellenic Institute of Metrology (EIM). .</ref> |
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<!-- Unused citation <ref name=hutton>Hutton, Charles (1795) 1st ed. London: for J. Johnson Volume 2 p.187</ref>--> |
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<ref name=measures>{{cite encyclopedia|title=Measures|encyclopedia=The Oxford Classical Dictionary|year=2003}}</ref> |
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<ref name=smith>Smith, Sir William; Charles Anthon (1851) New York: Harper & Bros. Tables, pp. 1024–30</ref> |
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<ref name=weights>{{cite encyclopedia|title=Weights|encyclopedia=The Oxford Classical Dictionary|year=2003}}</ref> |
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}} |
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== External links == |
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== External links == |
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* {{cite web|title=History 310: Greek Coinage and Measures |work=History/Classics 310 |url=http://www.tulane.edu/~august/H310/handouts/Coinage.htm |access-date=December 15, 2005 |url-status=dead |archive-url=https://web.archive.org/web/20050408035420/http://www.tulane.edu/~august/H310/handouts/Coinage.htm |archive-date=April 8, 2005 }} |
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* {{cite web | title=History 310: Greek Coinage and Measures | work= |
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* {{cite web |author=Porter, John |title=Greek and Roman Weights, Measures and Currency |url=http://homepage.usask.ca/~jrp638/CourseNotes/weightsmeasures.html | access-date=July 26, 2007 | archive-url= https://web.archive.org/web/20070806055753/http://homepage.usask.ca/~jrp638/CourseNotes/weightsmeasures.html| archive-date= 6 August 2007 | url-status= live}} |
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History/Classics 310 | url=http://www.tulane.edu/~august/H310/handouts/Coinage.htm | accessdate=December 15, 2005 }} |
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* {{cite web |author=Porter, John |title=Greek and Roman Weights, Measures and Currency |url=http://homepage.usask.ca/~jrp638/CourseNotes/weightsmeasures.html | accessdate=July 26, 2007 }} |
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* |
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* |
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{{Hellenic measurement}} |
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{{Systems of measurement}} |
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{{Systems of measurement}} |
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{{DEFAULTSORT:Greek}} |
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{{DEFAULTSORT:Greek}} |
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Some Greek measures of length were named after parts of the body, such as the δάκτυλος (daktylos, plural: δάκτυλοι daktyloi) or finger (having the size of a thumb), and the πούς (pous, plural: πόδες podes) or foot (having the size of a shoe). 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.
Greeks measured volume according to either solids or liquids, 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 210 ml and 330 ml. The basic unit for both solid and liquid measures was the κύαθος (kyathos, plural: kyathoi).
Mass is 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 mass and a currency. Greek masses 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:
In archaic and early classical Greece, months followed the cycle of the Moon which made them not fit exactly into the length of the solar year. Thus, if not corrected, the same month would migrate slowly into different seasons of the year. The Athenian year was divided into 12 months, with one additional month (Poseidon deuterons, thirty 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, circa 275 BC.