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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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{{disputed}} |
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== Length == |
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{{cleanup-date|August 2005}} |
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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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The ] system of ] was built mainly upon the ], and formed the basis of the later ]. |
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|+Smaller units of length |
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|- |
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! Unit |
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! Greek name |
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! Equal to |
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! Modern equivalent |
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! Description |
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|- |
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| daktylos |
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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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|- |
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| kondylos |
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| {{lang|grc|κόνδυλος}} |
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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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| knuckle |
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|- |
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| palaistē or dōron |
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| {{lang|grc|παλαιστή}}, {{lang|grc|δῶρον}} |
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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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|- |
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| dichas or hēmipodion |
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| {{lang|grc|διχάς}}, {{lang|grc|ἡμιπόδιον}} |
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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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|- |
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| lichas |
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| {{lang|grc|λιχάς}} |
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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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| 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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| orthodōron |
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| {{lang|grc|ὀρθόδωρον}} |
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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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| straight hand's width |
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|- |
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| spithamē |
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| {{lang|grc|σπιθαμή}} |
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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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|- |
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| pous |
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| {{lang|grc|πούς}} |
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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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| ] |
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|- |
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| pygmē |
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| {{lang|grc|πυγμή}} |
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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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| forearm |
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|- |
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| pygōn |
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| {{lang|grc|πυγών}} |
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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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|- |
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| pēchys |
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| {{lang|grc|πῆχυς}} |
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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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|} |
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{| class="wikitable" style="margin: 1em auto 1em auto" |
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|+'''Smaller units derived from the daktylos''' |
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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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!daktylos |
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|1 |
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|{{frac|2}} |
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|{{frac|4}} |
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|{{frac|8}} |
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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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|- |
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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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! Unit |
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! Greek name |
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! Equal to |
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! Modern equivalent |
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! Description |
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|- |
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| pous |
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| {{lang|grc|πούς}} |
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|align="right" |{{convert|0.308|m|ft|abbr=on}} |
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| foot |
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|- |
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| haploun bēma<ref name=EIM/> |
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| {{lang|grc|ἁπλοῦν βῆμα}} |
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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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| step |
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|- |
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| bēma,<ref name=smith/> diploun bēma<ref name=EIM/> |
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| {{lang|grc|βῆμα, διπλοῦν βῆμα}} |
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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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| ] |
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|- |
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| orgyia |
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| {{lang|grc|ὄργυια}} |
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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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| ] |
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|- |
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| kalamos, akaina or dekapous |
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| {{lang|grc|κάλαμος, ἄκαινα, δεκάπους}} |
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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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|10 feet |
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|- |
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| hamma |
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| {{lang|grc|ἅμμα}} |
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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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| 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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| {{lang|grc|στάδιον}} |
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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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| an eighth of a Roman mile |
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|- |
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| ] |
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| {{lang|grc|δίαυλος}} |
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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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|double pipe |
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|- |
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| hippikon |
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| {{lang|grc|ἱππικόν}} |
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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> |
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|- |
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| milion |
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| {{lang|grc|μίλιον}} |
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|align="right" | 8 stadia |
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|align="right" |{{convert|1.479|km|yd|abbr=on}} |
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|] |
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|- |
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| ]<ref name=EIM/> |
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| {{lang|grc|δόλιχος}} |
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|align="right" | 12 stadia |
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|align="right" |{{convert|2.219|km|mi|abbr=on}} |
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|long race |
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|- |
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| ]es, or league<ref name="XenophonAnabasis">Xenophon, ''Anabasis''. ca 400 B.C.</ref> |
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| {{lang|grc|παρασάγγης}} |
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|align="right" | 30 stadia |
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|align="right" |{{convert|5.548|km|mi|abbr=on}} |
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| adopted from ]<ref name=EIM/> |
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|- |
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| ] |
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| {{lang|grc|σχοινός}} |
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|align="right" | 40 stadia |
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|align="right" |{{convert|7.397|km|mi|abbr=on}} |
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| adopted from ]<ref name=EIM/> |
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|- |
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| stage<ref name="XenophonAnabasis" /> |
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| |
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|align="right" | 160 stadia |
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|align="right" |{{convert|29.8|km|mi|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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|} |
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{| class="wikitable" style="margin: 1em auto 1em auto" |
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|+Larger units derived from the pous |
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! |
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!pous |
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!bema haplun |
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!bema diplun |
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!orguia |
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!akaina |
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!hamma |
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!plethron |
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!stadion |
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|- |
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!pous |
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|1 |
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|{{frac|2|5}} |
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|{{frac|5}} |
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|{{frac|6}} |
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|{{frac|10}} |
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|{{frac|60}} |
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|{{frac|100}} |
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|{{frac|600}} |
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|- |
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!bema haplun |
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|{{frac|2|1|2}} |
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|1 |
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|{{frac|2}} |
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|{{frac|5|12}} |
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|{{frac|4}} |
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|{{frac|24}} |
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|{{frac|40}} |
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|{{frac|240}} |
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|- |
|
|
!bema diplun |
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|5 |
|
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|2 |
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|1 |
|
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|{{frac|5|6}} |
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|{{frac|2}} |
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|{{frac|12}} |
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|{{frac|20}} |
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|{{frac|120}} |
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|- |
|
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!orguia |
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|6 |
|
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|{{frac|2|2|5}} |
|
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|{{frac|1|1|5}} |
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|1 |
|
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|{{frac|3|5}} |
|
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|{{frac|10}} |
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|{{frac|3|50}} |
|
|
|{{frac|100}} |
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|- |
|
|
!akaina |
|
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|10 |
|
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|4 |
|
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|2 |
|
|
|{{frac|1|2|3}} |
|
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|1 |
|
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|{{frac|6}} |
|
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|{{frac|10}} |
|
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|{{frac|60}} |
|
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|- |
|
|
!hamma |
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|60 |
|
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|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 == |
|
|
|
|
=== Length === |
|
|
|
|
|
|
|
The ordinary units used for land measurement were: |
|
Like the ], where the cubit or ''ku'' was divided into two different digits (''shusi'' of about 17 mm or ''uban'' of about 20 mm) and hands (''qat''), the Greek units also have long, median and short forms. |
|
|
|
|
|
|
|
{| class="wikitable" style="margin: 1em auto 1em auto" |
|
: The Ionian pous is a typical short pous measuring 296 mm |
|
|
|
|+ Units of surface measurement |
|
: The Attic pous measures 309.4 mm |
|
|
|
|- |
|
: The Athenian pous measures 316 mm and is considered of median length |
|
|
|
! Unit |
|
: Long pous are actually remen (4 hands) and pygons |
|
|
|
! Greek name |
|
: See cubits for the discussion of the choice of division into hands or palms |
|
|
|
! Equal to |
|
|
! Modern equivalent |
|
|
! Description |
|
|
|- |
|
|
| pous |
|
|
| {{lang|grc|πούς}} |
|
|
| |
|
|
|align="right" |{{convert|0.095|m2|sqft|abbr=on}} |
|
|
| square foot |
|
|
|- |
|
|
| hexapodēs |
|
|
| {{lang|grc|ἑξαπόδης}} |
|
|
|align="right" | 36 podes |
|
|
|align="right" |{{convert|3.42|m2|sqft|abbr=on}} |
|
|
| square six-foot |
|
|
|- |
|
|
| akaina |
|
|
| {{lang|grc|ἄκαινα}} |
|
|
|align="right" | 100 podes |
|
|
|align="right" |{{convert|9.50|m2|sqft|abbr=on}} |
|
|
| rod |
|
|
|- |
|
|
| hēmiektos |
|
|
| {{lang|grc|ἡμίεκτος}} |
|
|
|align="right" | {{frac|833|1|3}} podes |
|
|
|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/> |
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|
|
|
|
|
The Attic liquid measures were: |
|
Generally the sexagesimal or decimal multiples have Mesopotamian origins while the septenary multiples have Egyptian origins. |
|
|
|
|
|
|
|
{| class="wikitable" style="float: center; margin: 1em auto 1em auto" |
|
{| |
|
|
|
|+Attic measures of liquid capacity |
|
|+ Greek length measures and other, alledgedly related ones for comparison |
|
|
|
! Unit |
|
! Unit !! Daktylos !! Metre !! feet or podes |
|
|
|
! Greek name |
|
|
! Equal to |
|
|
! Modern equivalent |
|
|
! Description |
|
|
|- |
|
|
| kochliarion |
|
|
| {{lang|grc|κοχλιάριον}} |
|
|
| |
|
|
|align="right" |{{convert|4.5|mL|USoz impoz|abbr=on}} |
|
|
|spoon |
|
|- |
|
|- |
|
|
| chēmē |
|
! (1 "shusi"<!--Mesopotamian-->) = |
|
|
|
| {{lang|grc|χήμη}} |
|
| 1 (little finger) ||= 14.49 mm ||= 0.05 feet or podes |
|
|
|
|align="right" |2 kochliaria |
|
|
| align="right" |{{convert|9.1|mL|USoz impoz|abbr=on}} |
|
|
| 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 |
|
! 1 ''daktylos'' = |
|
|
|
| {{lang|grc|μύστρον}} |
|
| 1 (ring finger) ||= 19.275 mm ||= 0.06 feet or podes |
|
|
|
|align="right" |{{frac|2|1|2}} kochliaria |
|
|
| align="right" |{{convert|11.4|mL|USoz impoz|abbr=on}} |
|
|
|Roman ''ligula'' |
|
|- |
|
|- |
|
|
| konchē |
|
! 1 ''uncia''<!--Roman?--> ≈ |
|
|
|
| {{lang|grc|κόγχη}} |
|
|1.33 (thumb or inch)||= 25.64 mm ||= 0.08 feet or podes |
|
|
|
|align="right" |5 kochliaria |
|
|
| align="right" |{{convert|22.7|mL|USoz impoz|abbr=on}} |
|
|
|shell-full |
|
|- |
|
|- |
|
|
| kyathos |
|
! 1 ''condylos'' = |
|
|
|
| {{lang|grc|κύαθος}} |
|
| 2 (daktylos) ||= 38.55 mm ||= 0.13 feet or podes |
|
|
|
|align="right" | 10 kochliaria |
|
|
| align="right" |{{convert|45.5|mL|USoz impoz|abbr=on}} |
|
|
|Roman ''cyathus'' |
|
|- |
|
|- |
|
|
| oxybaphon |
|
! 1 ''palaiste'', palm = |
|
|
|
| {{lang|grc|ὀξυβαφον}} |
|
| 4 (daktylos) ||= 77.1 mm ||= 0.25 feet or podes (= 1 palm) |
|
|
|
|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/> |
|
! 1 ''dichas'' = |
|
|
|
| {{lang|grc|τέταρτον, ἡμικοτύλη}} |
|
| 8 (daktylos) ||= 154.2 mm ||= 0.51 feet or podes (= 2 palms) |
|
|
|
|align="right" |3 kyathoi |
|
|
| align="right" |{{convert|136.4|mL|USoz impoz|abbr=on}} |
|
|
|Roman ''quartarius'' |
|
|- |
|
|- |
|
|
| kotylē, tryblion or hēmina |
|
! 1 ''spithame'' = |
|
|
|
| {{lang|grc|κοτύλη, τρύβλιον, ἡμίνα}} |
|
| 12 (daktylos) ||= 231.3 mm ||= 0.76 feet or podes (= 3 palms) |
|
|
|
|align="right" |6 kyathoi |
|
|
| align="right" |{{convert|272.8|mL|USoz impoz|abbr=on}} |
|
|
|Roman ''cotyla'' or ''hemina'' |
|
|- |
|
|- |
|
|
| xestēs |
|
! 1 ''pous'', foot = |
|
|
|
| {{lang|grc|ξέστης}} |
|
| 16 (daktylos) ||= 308.4 mm ||= 1.01 feet or podes (= 4 palms) |
|
|
|
|align="right" |12 kyathoi |
|
|
| align="right" |{{convert|545.5|mL|USpt imppt|3|abbr=on}} |
|
|
|Roman ''sextarius'' |
|
|- |
|
|- |
|
|
| chous |
|
! 1 ''pygon'', remen = |
|
|
|
| {{lang|grc|χοῦς}} |
|
| 20 (daktylos) ||= 385.5 mm ||= 1.26 feet or podes (= 5 palms) |
|
|
|
| align="right" |72 kyathoi |
|
|
| align="right" |{{convert|3.27|L|USpt imppt|abbr=on}} |
|
|
|Roman ''congius'' |
|
|- |
|
|- |
|
|
| keramion |
|
! 1 ''pechya'', cubit = |
|
|
|
| {{lang|grc|κεράμιον}} |
|
| 24 (daktylos) ||= 462.6 mm ||= 1.52 feet or podes (= 6 palms) |
|
|
|
| align="right" |8 choes |
|
|
| align="right" |{{convert|26.2|L|USgal impgal|abbr=on}} |
|
|
|Roman ''amphora quadrantal'' |
|
|- |
|
|- |
|
|
| ] |
|
! 1 English cubit<!--? common 18 or alleged 19.2 inches?--> ≈ |
|
|
|
| {{lang|grc|μετρητής}} |
|
| 25 (daktylos) ||= 493.44 mm ||= 1.62 feet or podes |
|
|
|
| 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. |
|
! 1 Egyptian royal cubit<!--?--> ≈ |
|
|
|
|}{{-}} |
|
| 28 (daktylos) ||= 539.7 mm ||= 1.77 feet or podes (= 7 palms) |
|
|
|
] 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 |
|
! 1 ''bema'' = |
|
|
|
| {{lang|grc|κύαθος}} |
|
| 40 (daktylos) ||= 771 mm ||= 2.53 feet or podes (= 10 palms = 1 double remen) |
|
|
|
|align="right" | 10 kochliaria |
|
|
| align="right" |{{convert|45.5|mL|USoz impoz|abbr=on}} |
|
|
|Roman ''cyathus'' |
|
|- |
|
|- |
|
|
| oxybaphon |
|
! 1 yard<!--English?--> ≈ |
|
|
|
| {{lang|grc|ὀξυβαφον}} |
|
| 48 (daktylos) ||= 925.2 mm ||= 3.04 feet or podes (= 12 palms) |
|
|
|
|align="right" |{{frac|1|1|2}} kyathoi |
|
|
| align="right" |{{convert|68.2|mL|USoz impoz|abbr=on}} |
|
|
|Roman ''acetabulum'' |
|
|- |
|
|- |
|
|
| kotylē or hēmina |
|
! 1 ''xylon'' = |
|
|
|
| {{lang|grc|κοτύλη, ἡμίνα}} |
|
| 72 (daktylos) ||= 1.3878 m ||= 4.55 feet or podes (= 18 palms) |
|
|
|
|align="right" |6 kyathoi |
|
|
| align="right" |{{convert|272.8|mL|USoz impoz|abbr=on}} |
|
|
|Roman ''cotyla'' or ''hemina'' |
|
|- |
|
|- |
|
|
| xestēs |
|
! 1 ''passus''<!--Roman?--> = |
|
|
|
| {{lang|grc|ξέστης}} |
|
| 80 (daktylos) ||= 1.542 m ||= 5 feet or podes (= 20 palms = 1 Roman Pace) |
|
|
|
|align="right" |12 kyathoi |
|
|
| align="right" |{{convert|545.5|mL|USpt imppt|3|abbr=on}} |
|
|
|Roman ''sextarius'' |
|
|- |
|
|- |
|
|
| choinix |
|
! 1 ''orguia'' = |
|
|
|
| {{lang|grc|χοῖνιξ}} |
|
| 96 (daktylos) ||= 1.8504 m ||= 6 feet or podes (= 24 palms = 1 fathom) |
|
|
|
| align="right" |24 kyathoi |
|
|
| align="right" |{{convert|1.09|L|USpt imppt|abbr=on}} |
|
|
| |
|
|- |
|
|- |
|
|
| hēmiekton |
|
! 1 ''akaina'' = |
|
|
|
| {{lang|grc|ἡμίεκτον}} |
|
| 160 (daktylos) ||= 3.084 m ||= 10 feet or podes (= 40 palms) |
|
|
|
|align="right" | 4 choinikes |
|
|
| align="right" |{{convert|4.36|L|USgal impgal|abbr=on}} |
|
|
|Roman ''semimodius'' |
|
|- |
|
|- |
|
|
| hekteus |
|
! 1 English rod ≈ |
|
|
|
| {{lang|grc|ἑκτεύς}} |
|
| 264 (daktylos) ||= 5.0886 m ||= 17 feet or podes (= 66 palms) |
|
|
|
|align="right" | 8 choinikes |
|
|
| align="right" |{{convert|8.73|L|USgal impgal|abbr=on}} |
|
|
|Roman ''modius'' |
|
|- |
|
|- |
|
|
| ] |
|
! 1 ''hayt'' = |
|
|
|
| μέδιμνος |
|
| 280 (daktylos) ||= 5.397 m ||= 18 feet or podes (= 70 palms = 10 royal cubits) |
|
|
|
|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. |
|
! 1 perch<!--English?--> ≈ |
|
|
|
|}{{-}} |
|
| 1056 (daktylos) ||= 20.3544 m ||= 66 feet or podes (= 264 palms) |
|
|
|
|
|
|
== 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> |
|
|
] |
|
|
|
|
|
{| class="wikitable" style="margin: 1em auto 1em auto" |
|
|
! Unit |
|
|
! Greek name |
|
|
! Equivalent |
|
|
! Weight |
|
|- |
|
|- |
|
|
| obol or ] |
|
! 1 ''plethron'' = |
|
|
|
| {{lang|grc|ὀβολός}} |
|
| 1600 (daktylos) ||= 30.84 m ||= 100 feet or podes (= 400 palms) |
|
|
|
| {{frac|6}} drachma, 4 tetartemorions |
|
|
| {{convert|0.72|g|ozt|abbr=on}} |
|
|- |
|
|- |
|
|
| ] |
|
! 1 ''actus''<!--Roman?--> = |
|
|
|
| {{lang|grc|δραχμή}} |
|
| 1920 (daktylos) ||= 37.008 m ||= 120 feet or podes (= 480 palms) |
|
|
|
| 6 obols |
|
|
| {{convert|4.3|g|ozt|abbr=on}} |
|
|- |
|
|- |
|
|
| mina |
|
! ''khet'' side<!--Egyptian?--> = |
|
|
|
| {{lang|grc|μνᾶ}} |
|
| 2800 (daktylos) ||= 53.97 m ||= 175 feet or podes (= 700 palms = 100 royal cubits) |
|
|
|
| 100 drachmae |
|
|
| |
|
|- |
|
|- |
|
|
| ] |
|
! English acre side = |
|
|
|
|{{lang|grc|τάλαντον}} |
|
| 3333 (daktylos) ||= 64.359 m ||= 208.71 feet or podes (= 835 palms) |
|
|
|
| 60 minae |
|
|
| |
|
|
|} |
|
|
|
|
|
==Mass== |
|
|
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" |
|
|
! Unit |
|
|
! Greek name |
|
|
! Equivalent |
|
|
! Metric Equivalent |
|
|
! Aeginetic standard |
|
|- |
|
|- |
|
|
| obol or ] |
|
! 1 Persian stade = |
|
|
|
| {{lang|grc|ὀβολός}} <ref>{{LSJ|o)bolo/s|ὀβολός|cite}}</ref> |
|
| 8400 (daktylos) ||= 161.9 m ||= 525 feet or podes (= 2100 palms) |
|
|
|
| |
|
|
| {{convert|0.72|g|oz|abbr=on}} |
|
|
| {{convert|1.05|g|oz|abbr=on}} |
|
|- |
|
|- |
|
|
| ] |
|
! 1 minute<!--Roman?--> = |
|
|
|
| {{lang|grc|δραχμή}} <ref>{{LSJ|draxmh/|δραχμή|cite}}</ref> |
|
| 9336 (daktylos) ||= 180 m ||= 300 great cubits (= 2334 palms) |
|
|
|
| 6 obols |
|
|
| {{convert|4.31|g|oz|abbr=on}} |
|
|
| {{convert|6.3|g|oz|abbr=on}} |
|
|- |
|
|- |
|
|
| mina |
|
! 1 minute of march<!--Egyptian?--> = |
|
|
|
| {{lang|grc|μνᾶ}} <ref>{{LSJ|mna=|μνᾶ|cite}}</ref> |
|
| 9500 (daktylos) ||= 183.3 m ||= 350 royal cubits (= 2450 palms) |
|
|
|
| 100 drachmae |
|
|
| {{convert|431|g|oz|abbr=on}} |
|
|
| {{convert|630|g|oz|abbr=on}} |
|
|- |
|
|- |
|
|
| talent |
|
! 1 ''stadion'' = |
|
|
|
|{{lang|grc|τάλαντον}} <ref>{{LSJ|ta/lanton|τάλαντον|cite}}</ref> |
|
| 9600 (daktylos) ||= 185 m ||= 600 Greek pous (= 2400 palms) |
|
|
|
| 60 minae |
|
|
| {{convert|25.86|kg|lb|abbr=on}} |
|
|
| {{convert|37.8|kg|lb|abbr=on}} |
|
|
|} |
|
|
|
|
|
== 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 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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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. |
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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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! Greek name |
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! Gregorian equivalent |
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| Hecatombaeon |
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! 1 Roman ''stadium'' = |
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| {{lang|grc|Ἑκατομβαιών}} |
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| 9600 (daktylos) ||= 185 m ||= 625 Roman pes (= 2400 palms) |
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| June–July |
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| Metageitnion |
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! 1 ] ''stadios'' = |
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| {{lang|grc|Μεταγειτνιών}} |
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| 10000 (daktylos) ||= 192.8 m ||= 625 Greek pous (= 2500 palms) |
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| July–August |
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| Boedromion |
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! 1 English furlong = |
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| {{lang|grc|Βοηδρομιών}} |
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| 10560 (daktylos) ||= 203.544 m ||= 660 Greek pous (= 2640 palms) |
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| August–September |
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| Pyanepsion |
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! 1 ] ''stade'', cable<!--English?--> = |
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| {{lang|grc|Πυανεψιών}} |
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| 11520 (daktylos) ||= 222 m ||= 720 Greek pous (= 2880 palms) |
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| September–October |
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! 1 ''stade'' of ] = |
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| 12000 (daktylos) ||= 231 m ||= 750 Greek pous (= 3000 palms) |
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| Maemacterion |
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! 1 ''diaulos'' = |
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| {{lang|grc|Μαιμακτηριών}} |
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| 19200 (daktylos) ||= 370 m ||= 1200 Greek pous (= 4800 palms) |
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| October–November |
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| Poseideon |
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! 1 ''millos'' = |
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| {{lang|grc|Ποσειδεών}} |
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| 80000 (daktylos) ||= 1.542 km ||= 5000 Greek pous (= 20000 palms) |
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| November–December |
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| Gamelion |
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! 1 English mile ≈ |
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| {{lang|grc|Γαμηλιών}} |
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| 84480 (daktylos) ||= 1.628352 km ||= 5280 English feet (= 21120 palms) |
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| December–January |
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| Anthesterion |
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! 1 ''dolichos'' = |
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| {{lang|grc|Ἀνθεστηριών}} |
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| 115200 (daktylos) ||= 2.221056 km ||= 7200 Greek pous (= 28800 palms) |
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| January–February |
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| Elaphebolion |
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! 1 ''stadia'' of ] = |
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| {{lang|grc|Ἐλαφηβολιών}} |
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| 280000 (daktylos) ||= 5.397 km ||= 17500 Greek pous (= 70000 palms) |
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| February–March |
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| Munychion |
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! 1/10 degree = |
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| {{lang|grc|Μουνυχιών}} |
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| 560000 (daktylos) ||= 10.797 km ||= 35000 Greek pous (= 140000 palms) |
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| March–April |
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| Thargelion |
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! 1 ''schœnus'' = |
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| {{lang|grc|Θαργηλιών}} |
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| 576000 (daktylos) ||= 11.1024 km ||= 36000 Greek pous (= 144000 palms) |
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| April–May |
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| Scirophorion |
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! 1 ''stathmos'' = |
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| {{lang|grc|Σκιροφοριών}} |
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| 1280000 (daktylos) ||= 24.672 km ||= 80000 Greek pous (= 320000 palms) |
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| May–June |
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|- |
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|}{{-}} |
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! 1 degree = |
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| 5760000 (daktylos) ||= 111 km ||= 360000 Greek pous (= 1440000 palms) |
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|} |
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; 1 ''daktulos'' (pl. ''daktuloi''), digit := 1/16 ''pous'' |
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; 1 ''condulos'' := 1/8 ''pous'' |
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; 1 ''palaiste'', palm := ¼ ''pous'' |
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; 1 ''dikhas'' := ½ ''pous'' |
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; 1 ''spithame'', span := ¾ ''pous'' |
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; 1 ''pous'' (pl. ''podes''), foot :≈ 316 mm, said to be 3/5 ]. There are variations, from 296 mm (]) to 326 mm (]) |
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; 1 ''pugon'', ]ic cubit := 1¼ ''podes'' |
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; 1 ''pechua'', cubit := 1½ ''podes'' ≈ 47.4 cm |
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; 1 ''bema'', pace := 2½ ''podes'' |
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; 1 ''khulon'' := 4½ ''podes'' |
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; 1 ''orguia'', fathom := 6 ''podes'' |
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; 1 ''akaina'' := 10 ''podes'' |
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; 1 ''plethron'' (pl. ''plethra'') := 100 ''podes'', a cord measure |
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; 1 '']'' (pl. ''stadia'') := 6 ''plethra'' = 600 ''podes'' ≈ 185.4 ]. |
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; 1 ''diaulos'' (pl. ''diauloi'') := 2 ''stadia'', only used for the Olympic footrace introduced in ]. |
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; 1 ''dolikhos'' := 6 or 12 ''diauloi''. Only used for the Olympic footrace introduced in ]. |
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; 1 ''parasanges'' := 30 ''stadia'' ≈ 5.5 km. Persian measure used by ], for instance. |
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; 1 ''skhoinos'' (pl. ''skhoinoi''), lit. “reefs” : 60 ''stadia'' ≈ 11.1 km (usually), based on ] ''iter'' or ''atur'', for variants see there. |
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; 1 ''stathmos'' :≈ 25 km, one day’s journey. May have been variable, dependent on terrain. |
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For reference, the stadion at ] measures 192.3 m. With a widespread use throughout antiquity, there were many variants of a ''stadion'', from as low as 157 m up to 211 m, but it is usually stated as 185.4 m. |
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==See also== |
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The Greek root stadios means to have standing. Stadions are used to measure the sides of fields. |
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* ] |
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* ] |
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* ] |
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==References== |
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In the time of Herodotus the standard Attic stadion used for distance measure is 600 pous of 308.4 mm egual to 185 m. so that 600 stadia egual one degree and are combined at 8 to a mia chilioi or thousand which measures the boustredon or path of yoked oxen as a distance of a thousand orguia, taken as one orguia wide which defines an aroura or thousand of land and at 10 agros or chains equal to one nauticle mile of 1850 m. |
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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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Several centuries later Marinus and Ptolomy used 500 stadia to a degree but their stadi were |
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composed of 600 remen of 370 mm and measured 222 m so the measurement of the degree was the same. |
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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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The same is also true for Eratosthenes who used 700 stadia of 157.5 m or 300 Egyptian royal cubits to a degree, and for Aristotle, Poseidonus and Archimedes whose stadia likewise measured the same degree. |
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<ref name=measures>{{cite encyclopedia|title=Measures|encyclopedia=The Oxford Classical Dictionary|year=2003}}</ref> |
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=== Area === |
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; ''aroura'' = ~2700 m². The ground covered by a yoke of ploughing oxen in one day. |
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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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=== Volume === |
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; 1 ''kotule'' (pl. ''kotulai'') := ¼ ''kheonix'', liquid measure |
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; 1 ''khœnix'' (pl ''khœnikes''), ''khoinix'' :≈ 1.1 l, initially used for wheat |
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; 1 ''modios'', bushel := 8 ''kheonikes'' |
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; 1 ''medimnos'':= 48 ''kheonikes'' |
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Dry measures: |
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; 1 ''kotule'' := 6 ''kuathoi'' |
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; 1 ''khous'' := 12 ''kotulai'' |
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; 1 ''metretes'' := 12 ''choes'' ≈ 34 l |
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<ref name=weights>{{cite encyclopedia|title=Weights|encyclopedia=The Oxford Classical Dictionary|year=2003}}</ref> |
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=== Weight and monetary === |
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; 1 ''medimnos'' :≈ 25 kg |
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; 1 '']'' := 60 ''minae'' |
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; 1 '']'' := 100 ''drachmae'' |
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; 1 ''decadrachm'' := 10 ''drachmae'', coin only |
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; 1 ''tetradrachm'' := 4 ''drachmae'', coin only |
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; 1 ''stater'', ''didrachmon'' := 2 ''drachmae'', coin only |
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; 1 '']'' := 4.5–6 g, weight of silver coin |
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; 1 ''diobolus'' := 2 ''oboloi'' = 1/3 ''drachmae'' |
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; 1 '']'' := 1/6 ''drachma'', silver |
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; 1 '']'' := 1/8 ''obolus'', copper |
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}} |
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=== Miscellaneous === |
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; ''muriade'': 10.000 |
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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 |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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{{Hellenic measurement}} |
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{{Systems of measurement}} |
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{{DEFAULTSORT:Greek}} |
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] |
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] |
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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.