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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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:''Aroura redirects here; you may have arrived here while searching for ]'' |
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The ] system of ] was built mainly upon the ], and formed the basis of the later ]. |
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== Length == |
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== Length == |
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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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Like the ], where the ] or ''ku'' was divided into two different digits (''shusi'' of about 17 mm or ''uban'' of about 20 mm) and ] (''qat''), the Greek units also have long, median and short forms. |
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|+Smaller units of length |
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* The Ionian ] is a typical short pous measuring 296 mm |
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* The Attic pous measures 309.4 mm |
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* The Athenian pous measures 316 mm and is considered of median length |
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* Long pous are actually remen (4 hands) and pygons |
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* See ] for the discussion of the choice of division into hands or palms |
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Generally the sexagesimal or decimal multiples have Mesopotamian origins while the septenary multiples have Egyptian origins. |
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{| class="wikitable" |
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|+ Greek length measures together with others for comparison |
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! Unit !! Daktylos !! SI (Metric) !! Feet or podes |
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! Unit |
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! (1 ''shusi''<!--Mesopotamian-->) |
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! Greek name |
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| 1 (little finger) || 14.49 mm || 0.05 feet or podes |
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! Equal to |
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! Modern equivalent |
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! Description |
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! 1 ''daktylos'' |
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| daktylos |
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| {{lang|grc|δάκτυλος}} |
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| 1 (ring finger) || 19.275 mm || 0.06 feet or podes |
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|align="right" |{{convert|19.3|mm|in|abbr=on}} |
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| finger |
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| kondylos |
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! 1 ''uncia''<!--Roman?--> ≈ |
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| {{lang|grc|κόνδυλος}} |
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|1.33 (thumb or inch)|| 25.64 mm || 0.08 feet or podes |
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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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| palaistē or dōron |
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! 1 ''condylos'' |
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| {{lang|grc|παλαιστή}}, {{lang|grc|δῶρον}} |
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| 2 (daktylos) || 38.55 mm || 0.13 feet or podes |
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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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| dichas or hēmipodion |
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! 1 ''palaiste'', palm |
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| {{lang|grc|διχάς}}, {{lang|grc|ἡμιπόδιον}} |
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| 4 (daktylos) || 77.1 mm || 0.25 feet or podes (1 palm) |
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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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| lichas |
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! 1 ''dichas'' |
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| {{lang|grc|λιχάς}} |
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| 8 (daktylos) || 154.2 mm || 0.51 feet or podes (2 palms) |
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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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| orthodōron |
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! 1 ''spithame'' |
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| {{lang|grc|ὀρθόδωρον}} |
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| 12 (daktylos) || 231.3 mm || 0.76 feet or podes (3 palms) |
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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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| spithamē |
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! 1 ''pous'', foot |
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| {{lang|grc|σπιθαμή}} |
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| 16 (daktylos) || 308.4 mm || 1.01 feet or podes (4 palms) |
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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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| pous |
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! 1 ''pygon'', remen |
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| {{lang|grc|πούς}} |
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| 20 (daktylos) || 385.5 mm || 1.26 feet or podes (5 palms) |
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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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| pygmē |
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! 1 ''pechya'', cubit |
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| {{lang|grc|πυγμή}} |
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| 24 (daktylos) || 462.6 mm || 1.52 feet or podes (6 palms) |
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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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| pygōn |
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! 1 English cubit<!--? common 18 or alleged 19.2 inches?--> ≈ |
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| {{lang|grc|πυγών}} |
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| 25 (daktylos) || 493.44 mm || 1.62 feet or podes |
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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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! 1 Egyptian royal cubit<!--?--> ≈ |
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| {{lang|grc|πῆχυς}} |
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| 28 (daktylos) || 539.7 mm || 1.77 feet or podes (7 palms) |
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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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| colspan=5 | {{small|Except where noted, based on Smith (1851).<ref name=smith/> Metric equivalents are approximate.}} |
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! 1 ''bema'' |
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| 40 (daktylos) || 771 mm || 2.53 feet or podes (10 palms 1 double remen) |
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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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!daktylos |
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! 1 yard<!--English?--> ≈ |
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|1 |
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| 48 (daktylos) || 925.2 mm || 3.04 feet or podes (12 palms) |
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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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!kondylos |
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! 1 ''xylon'' |
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|2 |
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| 72 (daktylos) || 1.3878 m || 4.55 feet or podes (18 palms) |
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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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!doron |
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! 1 ''passus''<!--Roman?--> |
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|4 |
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| 80 (daktylos) || 1.542 m || 5 feet or podes (20 palms; 1 Roman pace) |
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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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!dichas |
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! 1 ''orguia'' |
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|8 |
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| 96 (daktylos) || 1.8504 m || 6 feet or podes (24 palms; 1 fathom) |
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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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!lichas |
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! 1 ''akaina'' |
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|10 |
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| 160 (daktylos) || 3.084 m || 10 feet or podes (40 palms) |
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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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!orthodoron |
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! 1 English rod ≈ |
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|11 |
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| 264 (daktylos) || 5.0886 m || 17 feet or podes (66 palms) |
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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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!spithame |
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! 1 ''hayt'' |
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|12 |
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| 280 (daktylos) || 5.397 m || 18 feet or podes (70 palms; 10 royal cubits) |
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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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!pous |
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! 1 perch<!--English?--> ≈ |
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|16 |
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| 1056 (daktylos) || 20.3544 m || 66 feet or podes (264 palms) |
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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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!pygme |
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! 1 ''plethron'' |
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|18 |
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| 1600 (daktylos) || 30.84 m || 100 feet or podes (400 palms) |
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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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!pygon |
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! 1 ''actus''<!--Roman?--> |
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|20 |
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| 1920 (daktylos) || 37.008 m || 120 feet or podes (480 palms) |
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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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!pechus |
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! ''khet'' side<!--Egyptian?--> |
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|24 |
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| 2800 (daktylos) || 53.97 m || 175 feet or podes (700 palms; 100 royal cubits) |
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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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!royal pechus |
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! English acre side |
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|27 |
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| 3333 (daktylos) || 64.359 m || 208.71 feet or podes (835 palms) |
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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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! 1 Persian stade |
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|'''0.01926''' |
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| 8400 (daktylos) || 161.9 m || 525 feet or podes (2100 palms) |
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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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! Unit |
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! 1 minute<!--Roman?--> |
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! Greek name |
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| 9336 (daktylos) || 180 m || 300 great cubits (2334 palms) |
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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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|- |
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| pous |
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! 1 minute of march<!--Egyptian?--> |
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| {{lang|grc|πούς}} |
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| 9500 (daktylos) || 183.3 m || 350 royal cubits (2450 palms) |
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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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! 1 ''stadion'' |
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| {{lang|grc|ἁπλοῦν βῆμα}} |
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| 9600 (daktylos) || 185 m || 600 Greek pous (2400 palms) |
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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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|- |
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| bēma,<ref name=smith/> diploun bēma<ref name=EIM/> |
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! 1 Roman ''stadium'' |
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| {{lang|grc|βῆμα, διπλοῦν βῆμα}} |
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| 9600 (daktylos) || 185 m || 625 Roman pes (2400 palms) |
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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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|- |
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| orgyia |
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! 1 ] ''stadios'' |
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| {{lang|grc|ὄργυια}} |
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| 10000 (daktylos) || 192.8 m || 625 Greek pous (2500 palms) |
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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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|- |
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| kalamos, akaina or dekapous |
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! 1 English furlong |
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| {{lang|grc|κάλαμος, ἄκαινα, δεκάπους}} |
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| 10560 (daktylos) || 203.544 m || 660 Greek pous (2640 palms) |
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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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|- |
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| hamma |
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! 1 ] ''stade'', cable<!--English?--> |
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| {{lang|grc|ἅμμα}} |
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| 11520 (daktylos) || 222 m || 720 Greek pous (2880 palms) |
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|align="right" | 60 podes |
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|- |
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|align="right" |{{convert|18.5|m|yd|abbr=on}} |
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! 1 ''stade'' of ] |
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| knot, link of a chain |
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| 12000 (daktylos) || 231 m || 750 Greek pous (3000 palms) |
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|- |
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|- |
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| ] |
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! 1 ''diaulos'' |
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| {{lang|grc|πλέθρον}} |
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| 19200 (daktylos) || 370 m || 1200 Greek pous (4800 palms) |
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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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! 1 ''millos'' |
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|
|
| {{lang|grc|στάδιον}} |
|
| 80000 (daktylos) || 1.542 km || 5000 Greek pous (20000 palms) |
|
|
|
|align="right" | 600 podes |
|
|
|align="right" |{{convert|184.9|m|yd|abbr=on}} |
|
|
| an eighth of a Roman mile |
|
|- |
|
|- |
|
|
| ] |
|
! 1 English mile ≈ |
|
|
|
| {{lang|grc|δίαυλος}} |
|
| 84480 (daktylos) || 1.628352 km || 5280 English feet (21120 palms) |
|
|
|
|align="right" | 2 stadia |
|
|
|align="right" |{{convert|369.9|m|yd|abbr=on}} |
|
|
|double pipe |
|
|- |
|
|- |
|
|
| hippikon |
|
! 1 ''dolichos'' |
|
|
|
| {{lang|grc|ἱππικόν}} |
|
| 115200 (daktylos) || 2.221056 km || 7200 Greek pous (28800 palms) |
|
|
|
|align="right" | 4 stadia |
|
|
|align="right" |{{convert|739.7|m|yd|abbr=on}} |
|
|
|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 |
|
! 1 ''stadia'' of ] |
|
|
|
| {{lang|grc|μίλιον}} |
|
| 280000 (daktylos) || 5.397 km || 17500 Greek pous (70000 palms) |
|
|
|
|align="right" | 8 stadia |
|
|
|align="right" |{{convert|1.479|km|yd|abbr=on}} |
|
|
|] |
|
|- |
|
|- |
|
|
| ]<ref name=EIM/> |
|
! 1/10 degree |
|
|
|
| {{lang|grc|δόλιχος}} |
|
| 560000 (daktylos) || 10.797 km || 35000 Greek pous (140000 palms) |
|
|
|
|align="right" | 12 stadia |
|
|
|align="right" |{{convert|2.219|km|mi|abbr=on}} |
|
|
|long race |
|
|- |
|
|- |
|
|
| ]es, or league<ref name="XenophonAnabasis">Xenophon, ''Anabasis''. ca 400 B.C.</ref> |
|
! 1 ''schϓnus'' |
|
|
|
| {{lang|grc|παρασάγγης}} |
|
| 576000 (daktylos) || 11.1024 km || 36000 Greek pous (144000 palms) |
|
|
|
|align="right" | 30 stadia |
|
|
|align="right" |{{convert|5.548|km|mi|abbr=on}} |
|
|
| adopted from ]<ref name=EIM/> |
|
|- |
|
|- |
|
|
| ] |
|
! 1 ''stathmos'' |
|
|
|
| {{lang|grc|σχοινός}} |
|
| 1280000 (daktylos) || 24.672 km || 80000 Greek pous (320000 palms) |
|
|
|
|align="right" | 40 stadia |
|
|
|align="right" |{{convert|7.397|km|mi|abbr=on}} |
|
|
| adopted from ]<ref name=EIM/> |
|
|- |
|
|- |
|
|
| stage<ref name="XenophonAnabasis" /> |
|
! 1 degree |
|
|
|
| |
|
| 5760000 (daktylos) || 111 km || 360000 Greek pous (1440000 palms) |
|
|
|
|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 == |
|
; 1 ''daktulos'' (pl. ''daktuloi''), digit := 1/16 ''pous'' |
|
|
; 1 ''condulos'' := 1/8 ''pous'' |
|
|
; 1 ''palaiste'', palm := ¼ ''pous'' |
|
|
; 1 ''dikhas'' := ½ ''pous'' |
|
|
; 1 ''spithame'', span := ¾ ''pous'' |
|
|
; 1 ''pous'' (pl. ''podes''), foot :≈ 316 mm, said to be 3/5 ]. There are variations, from 296 mm (]) to 326 mm (]) |
|
|
; 1 ''pugon'', ]ic cubit := 1¼ ''podes'' |
|
|
; 1 ''pechua'', cubit := 1½ ''podes'' ≈ 47.4 cm |
|
|
; 1 ''bema'', pace := 2½ ''podes'' |
|
|
; 1 ''khulon'' := 4½ ''podes'' |
|
|
; 1 ''orguia'', fathom := 6 ''podes'' |
|
|
; 1 ''akaina'' := 10 ''podes'' |
|
|
; 1 ''plethron'' (pl. ''plethra'') := 100 ''podes'', a cord measure |
|
|
; 1 '']'' (pl. ''stadia'') := 6 ''plethra'' = 600 ''podes'' ≈ 185.4 ]. |
|
|
; 1 ''diaulos'' (pl. ''diauloi'') := 2 ''stadia'', only used for the Olympic footrace introduced in ]. |
|
|
; 1 ''dolikhos'' := 6 or 12 ''diauloi''. Only used for the Olympic footrace introduced in ]. |
|
|
; 1 ''parasanges'' := 30 ''stadia'' ≈ 5.5 km. Persian measure used by ], for instance. |
|
|
; 1 ''skhoinos'' (pl. ''skhoinoi'', lit. "reefs") := 60 ''stadia'' ≈ 11.1 km (usually), based on ] ''iter'' or ''atur'', for variants see there. |
|
|
; 1 ''stathmos'' :≈ 25 km, one day's journey. May have been variable, dependent on terrain. |
|
|
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. |
|
|
|
|
|
|
|
The ordinary units used for land measurement were: |
|
The Greek root ''stadios'' means to have standing. Stadions are used to measure the sides of fields. |
|
|
|
|
|
|
|
{| class="wikitable" style="margin: 1em auto 1em auto" |
|
In the time of ], 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 boustrdon 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 nautical mile of 1850 m. |
|
|
|
|+ Units of surface measurement |
|
|
|- |
|
|
! Unit |
|
|
! Greek name |
|
|
! 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== |
|
Several centuries later, ] and ] used 500 stadia to a degree, but their stadia were composed of 600 remen of 370 mm and measured 222 m, so the measurement of the degree was the same. |
|
|
|
{| 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: |
|
The same is also true for ], who used 700 stadia of 157.5 m or 300 Egyptian royal cubits to a degree, and for ], ], and ], whose stadia likewise measured the same degree. |
|
|
|
|
|
|
|
{| class="wikitable" style="float: center; margin: 1em auto 1em auto" |
|
The ] ] mentions a measure named '''acæna''' which was a rod ten (Greek) feet long used in measuring land. |
|
|
|
|+Attic measures of liquid capacity |
|
|
! Unit |
|
|
! Greek name |
|
|
! Equal to |
|
|
! Modern equivalent |
|
|
! Description |
|
|
|- |
|
|
| kochliarion |
|
|
| {{lang|grc|κοχλιάριον}} |
|
|
| |
|
|
|align="right" |{{convert|4.5|mL|USoz impoz|abbr=on}} |
|
|
|spoon |
|
|
|- |
|
|
| chēmē |
|
|
| {{lang|grc|χήμη}} |
|
|
|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 |
|
|
| {{lang|grc|μύστρον}} |
|
|
|align="right" |{{frac|2|1|2}} kochliaria |
|
|
| 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 |
|
|
| {{lang|grc|χοῦς}} |
|
|
| align="right" |72 kyathoi |
|
|
| 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" |
|
== Area == |
|
|
|
|+Attic measures of dry capacity |
|
; 1 ''aroura'' := ~2700 m², The ground covered by a yoke of ploughing oxen in one day. |
|
|
|
! Unit |
|
|
! Greek name |
|
|
! Equal to |
|
|
! Modern equivalent |
|
|
! Description |
|
|
|- |
|
|
| kochliarion |
|
|
| {{lang|grc|κοχλιάριον}} |
|
|
| |
|
|
|align="right" |{{convert|4.5|mL|USoz impoz|abbr=on}} |
|
|
| |
|
|
|- |
|
|
| 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'' |
|
|
|- |
|
|
| 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}} |
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|Roman ''modius'' |
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| ] |
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| μέδιμνος |
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|align="right" | 48 choinikes |
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| align="right" |{{convert|52.4|L|USgal impgal|abbr=on}} |
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| colspan=5 style= "font-size:smaller" | Except where noted, based on Smith (1851).<ref name=smith/> Metric equivalents are approximate. |
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|}{{-}} |
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== Volume == |
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== Currency == |
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; 1 ''kotule'' (pl. ''kotulai'') := ¼ ''kheonix'', liquid measure |
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; 1 ''khœìnix'' (pl ''khœìnikes''), ''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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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> |
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== Weight and monetary == |
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] |
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; 1 ''medimnos'' :≈ 40 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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{| class="wikitable" style="margin: 1em auto 1em auto" |
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== Miscellaneous == |
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! Unit |
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; ''muriade'': 10,000 |
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! Greek name |
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! Equivalent |
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! Weight |
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|- |
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| obol or ] |
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| {{lang|grc|ὀβολός}} |
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| {{frac|6}} drachma, 4 tetartemorions |
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| {{convert|0.72|g|ozt|abbr=on}} |
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|- |
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| ] |
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| {{lang|grc|δραχμή}} |
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| 6 obols |
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| {{convert|4.3|g|ozt|abbr=on}} |
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|- |
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| mina |
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| {{lang|grc|μνᾶ}} |
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| 100 drachmae |
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| |
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|- |
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| ] |
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|{{lang|grc|τάλαντον}} |
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| 60 minae |
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|} |
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==Mass== |
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== External links == |
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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/> |
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* {{cite web | title=History 310: Greek Coinage and Measures | work= |
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::{| class="wikitable" style="margin: 1em auto 1em auto" |
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History/Classics 310 | url=http://www.tulane.edu/~august/H310/handouts/Coinage.htm | accessmonthday=December 15 | accessyear=2005}} |
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! Unit |
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! Greek name |
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! Equivalent |
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! Metric Equivalent |
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! Aeginetic standard |
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|- |
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| obol or ] |
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| {{lang|grc|ὀβολός}} <ref>{{LSJ|o)bolo/s|ὀβολός|cite}}</ref> |
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| {{convert|0.72|g|oz|abbr=on}} |
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| {{convert|1.05|g|oz|abbr=on}} |
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|- |
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| ] |
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| {{lang|grc|δραχμή}} <ref>{{LSJ|draxmh/|δραχμή|cite}}</ref> |
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| 6 obols |
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| {{convert|4.31|g|oz|abbr=on}} |
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| {{convert|6.3|g|oz|abbr=on}} |
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|- |
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| mina |
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| {{lang|grc|μνᾶ}} <ref>{{LSJ|mna=|μνᾶ|cite}}</ref> |
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| 100 drachmae |
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| {{convert|431|g|oz|abbr=on}} |
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| {{convert|630|g|oz|abbr=on}} |
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|- |
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| talent |
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|{{lang|grc|τάλαντον}} <ref>{{LSJ|ta/lanton|τάλαντον|cite}}</ref> |
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| 60 minae |
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| {{convert|25.86|kg|lb|abbr=on}} |
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| {{convert|37.8|kg|lb|abbr=on}} |
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|} |
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== Time == |
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] |
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] |
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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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| {{lang|grc|Ἑκατομβαιών}} |
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| June–July |
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|- |
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| Metageitnion |
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| {{lang|grc|Μεταγειτνιών}} |
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| July–August |
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|- |
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| Boedromion |
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| {{lang|grc|Βοηδρομιών}} |
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| August–September |
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|- |
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| Pyanepsion |
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| {{lang|grc|Πυανεψιών}} |
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| September–October |
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|- |
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| Maemacterion |
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| {{lang|grc|Μαιμακτηριών}} |
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| October–November |
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|- |
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| Poseideon |
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| {{lang|grc|Ποσειδεών}} |
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| November–December |
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|- |
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| Gamelion |
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| {{lang|grc|Γαμηλιών}} |
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| December–January |
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|- |
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| Anthesterion |
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| {{lang|grc|Ἀνθεστηριών}} |
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| January–February |
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|- |
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| Elaphebolion |
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| {{lang|grc|Ἐλαφηβολιών}} |
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| February–March |
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|- |
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| Munychion |
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| {{lang|grc|Μουνυχιών}} |
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| March–April |
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|- |
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| Thargelion |
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| {{lang|grc|Θαργηλιών}} |
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| April–May |
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|- |
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| Scirophorion |
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| {{lang|grc|Σκιροφοριών}} |
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| May–June |
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|}{{-}} |
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==See also== |
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* ] |
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* ] |
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* ] |
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==References== |
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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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* {{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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* |
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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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] |
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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.