Bronze modius measure (4th century AD) with inscription acknowledging Imperial regulation of weights and measures

The units of measurement of ancient Rome were generally consistent and well documented.

Length

Roman milestone in modern Austria (AD 201), indicating a distance of 28 Roman miles (~41km) to Teurnia

The basic unit of Roman linear measurement was the pes (plural: pedes) or Roman foot. Investigation of its relation to the English foot goes back at least to 1647, when John Greaves published his Discourse on the Romane foot. Greaves visited Rome in 1639, and measured, among other things, the foot measure on the tomb of Titus Statilius Aper, that on the statue of Cossutius formerly in the gardens of Angelo Colocci, the congius of Vespasian previously measured by Villalpandus, a number of brass measuring-rods found in the ruins of Rome, the paving-stones of the Pantheon and many other ancient Roman buildings, and the distance between the milestones on the Appian Way. He concluded that the Cossutian foot was the "true" Roman foot, and reported these values compared to the iron standard of the English foot in the Guildhall in London

Values of the ancient Roman foot determined by Greaves in 1639
SourceReported value in English feetMetric equivalent
Foot on the statue of Cossutius0.967295mm
Foot on the monument of Statilius0.972296mm
Foot of Villalpandus, derived from Congius of Vespasian0.986301mm

William Smith (1851) gives a value of 0.9708 English feet, or about 295.9mm. An accepted modern value is 296mm. That foot is also called the pes monetalis to distinguish it from the pes Drusianus (about 333 or 335mm) sometimes used in some provinces, particularly Germania Inferior.

The Roman foot was sub-divided either like the Greek pous into 16 digiti or fingers; or into 12 unciae or inches. Frontinus writes in the 1st century AD that the digitus was used in Campania and most parts of Italy. The principal Roman units of length were:

Ancient Roman units of length
Roman unitEnglish nameEqual toMetric equivalentImperial equivalentNotes
digitusfinger1⁄16 pes18.5mm0.728in 0.0607ft
uncia pollexinch thumb1⁄12 pes24.6mm0.971in 0.0809ft
palmus (minor)palm1⁄4 pes74mm0.243ft
palmus maiorpalm length (lit."greater palm")3⁄4 pes222mm0.728ftin late times
pes (plural: pedes)(Roman) foot1 pes296mm0.971ftsometimes distinguished as the pes monetalis
palmipesfoot and a palm1+1⁄4 pedes370mm1.214ft
cubitumcubit1+1⁄2 pedes444mm1.456ft
gradus pes sestertiusstep2+1⁄2 pedes0.74m2.427ft
passuspace5 pedes1.48m4.854ft
decempeda perticaperch10 pedes2.96m9.708ft
actuspath, track120 pedes35.5m116.496ft24 passus or 12 decembeda
stadiumstade625 pedes185m607.14ft600 Greek feet or 125 passus or 1⁄8 mille
mille passus mille passuum(Roman) mile5,000 pedes1.48km4,854ft 0.919mi1000 passus or 8 stadia
leuga leuca(Gallic) league7,500 pedes2.22km7,281ft 1.379mi
Except where noted, based on Smith (1851). English and metric equivalents are approximate, converted at 1 pes = 0.9708 English feet and 296mm respectively.

Other units include the schoenus (from the Greek for "rush rope") used for the distances in Isidore of Charax's Parthian Stations (where it had a value around 5km or 3 miles) and in the name of the Nubian land of Triacontaschoenus between the First and Second Cataracts on the Nile (where it had a value closer to 10.5km or6+1⁄2miles).

Area

The ordinary units of measurement of area were:

Ancient Roman units of area
Roman unitEnglish nameEqual toMetric equivalentImperial equivalentDescription
pes quadratussquare foot1 pes qu.0.0876m20.943sqft
scrupulum or decempeda quadrata100 pedes qu.8.76m294.3sqftthe square of the standard 10-foot measuring rod
actus simplex480 pedes qu.42.1m2453sqft4 × 120 pedes
uncia2,400 pedes qu.210m22,260sqft
clima3,600 pedes qu.315m23,390sqft60 × 60 pedes
actus quadratus or acnua14,400 pedes qu.1,262m213,600sqftalso called arpennis in Gaul
jugerum28,800 pedes qu.2,523m227,200sqft 0.623acres
heredium2 jugera5,047m254,300sqft 1.248acres
centuria200 jugera50.5 ha125acresformerly 100 jugera
saltus800 jugera201.9ha499acres
modius16ha40acresMedieval Latin, plural modii
Except where noted, based on Smith (1851). Metric equivalents are approximate, converted at 1 pes = 296mm.

Other units of area described by Columella in his De Re Rustica include the porca of 180 × 30 Roman feet (about 473m2or 5,090sqft) used in Hispania Baetica and the Gallic candetum or cadetum of 100 feet[clarification needed] in the city or 150 in the country. Columella also gives uncial divisions of the jugerum, tabulated by the anonymous translator of the 1745 Millar edition as follows:

Uncial divisions of the jugerum
Roman unitRoman square feetFraction of jugerumMetric equivalentImperial equivalentDescription
dimidium scrupulum501⁄5764.38m247.1sqft
scrupulum1001⁄2888.76m294.3sqft
duo scrupula2001⁄14417.5m2188sqft
sextula4001⁄7235.0m2377sqft
sicilicus6001⁄4852.6m2566sqft
semiuncia1,2001⁄24105m21,130sqft
uncia2,4001⁄12210m22,260sqft
sextans4,8001⁄6421m24,530sqft
quadrans7,2001⁄4631m26,790sqft
triens9,6001⁄3841m29,050sqft
quincunx12,0005⁄121,051m211,310sqft
semis14,4001⁄21,262m215,380sqft= actus quadratus
septunx16,8007⁄121,472m215,840sqft
bes19,2002⁄31,682m218,100sqft
dodrans21,6003⁄41,893m220,380sqft
dextans24,0005⁄62,103m222,640sqft
deunx26,40011⁄122,313m224,900sqft
jugerum28,80012,523m227,160sqft
Except where noted, based on Millar (1745). Metric equivalents are approximate, converted at 1 pes = 296mm.

Volume

Both liquid and dry volume measurements were based on the sextarius. The sextarius was defined as 1⁄48 of a cubic pes (Roman foot), known as an amphora quadrantal. Using the value 296mm (11.7in) for the Roman foot, an amphora quadrantal can be computed at approximately 25.9L (5.7impgal; 6.8USgal), so a sextarius (by the same method) would theoretically measure 540.3ml (19.02impfloz; 18.27USfloz), which is about 95% of an imperial pint (568ml).

Archaeologically, however, the evidence is not as precise. No two surviving vessels measure an identical volume, and scholarly opinion on the actual volume ranges between 500 and 580ml (17–20USfloz).

The core volume units are:

  • amphora quadrantal (Roman jar) – one cubic pes (Roman foot)
  • congius – a half-pes cube (thus 1⁄8 amphora quadrantal)
  • sextarius – literally 1⁄6 of a congius

Liquid measure

Ancient Roman liquid measures
Roman unitEqual toMetricImperialUS fluid
ligula1⁄288 congius11.4 mL0.401 fl oz0.385 fl oz
cyathus1⁄72 congius45 mL1.58 fl oz1.52 fl oz
acetabulum1⁄48 congius68 mL2.39 fl oz2.30 fl oz
quartarius1⁄24 congius136 mL4.79 fl oz4.61 fl oz
hemina or cotyla1⁄12 congius273 mL9.61 fl oz9.23 fl oz
sextarius1⁄6 congius546 mL19.22 fl oz 0.961 pt18.47 fl oz 1.153 pt
congius1 congius3.27 L5.75 pt 0.719 gal3.46 qt 0.864 gal
urna4 congii13.1 L2.88 gal3.46 gal
amphora quadrantal8 congii26.2 L5.76 gal6.92 gal
culeus160 congii524 L115.3 gal138.4 gal
Except where noted, based on Smith (1851). Modern equivalents are approximate.

Dry measure

Ancient Roman dry measures
Roman unitEqual toMetricImperialUS dry
ligula1⁄288 congius11.4 ml0.401 fl oz0.0207 pt
cyathus1⁄72 congius45 ml1.58 fl oz0.082 pt
acetabulum1⁄48 congius68 ml2.39 fl oz0.124 pt
quartarius1⁄24 congius136 ml4.79 fl oz0.247 pt
hemina or cotyla1⁄12 congius273 ml9.61 fl oz0.496 pt
sextarius1⁄6 congius546 ml19.22 fl oz 0.961 pt0.991 pt
semimodius1+1⁄3 congii4.36 L0.96 gal0.99 gal
modius2+2⁄3 congii8.73 L1.92 gal1.98 gal
modius castrensis4 congii12.93 L2.84 gal2.94 gal
Except where noted, based on Smith (1851). Modern equivalents are approximate.

Weight

A Roman steelyard weight of one dodrans, i.e. 3⁄4 libra

The units of weight or mass were mostly based on factors of 12. Several of the unit names were also the names of coins during the Roman Republic and had the same fractional value of a larger base unit: libra for weight and as for coin. Modern estimates of the libra range from 322 to 329g (11.4 to 11.6oz) with 5076 grains or 328.9g (11.60oz) an accepted figure. The as was reduced from 12 ounces to 2 after the First Punic War, to 1 during the Second Punic War, and to half an ounce by the 131BC Lex Papiria.

The divisions of the libra were:

Uncial divisions of the libra
Roman unitEnglish nameEqual toMetric equivalentImperial equivalentDescription
unciaRoman ounce1⁄12 libra27.4g0.967ozlit."a twelfth"
sescuncia or sescunx1⁄8 libra41.1g1.45ozlit."one and one-half twelfths"
sextans1⁄6 libra54.8g1.93ozlit."a sixth"
quadrans teruncius1⁄4 libra82.2g2.90ozlit."a fourth" lit."triple twelfth"
triens1⁄3 libra109.6g3.87ozlit."a third"
quincunx5⁄12 libra137.0g4.83ozlit."five-twelfths"
semis or semissis1⁄2 libra164.5g5.80ozlit."a half"
septunx7⁄12 libra191.9g6.77ozlit."seven-twelfths"
bes or bessis2⁄3 libra219.3g7.74ozlit."two [parts] of an as"
dodrans3⁄4 libra246.7g8.70ozlit."less a fourth"
dextans5⁄6 libra274.1g9.67ozlit."less a sixth"
deunx11⁄12 libra301.5g10.64ozlit."less a twelfth"
libraRoman pound libra328.9g11.60oz 0.725lblit."balance"
Except where noted, based on Smith (1851). Metric equivalents are approximate, converted at 1 libra = 328.9g.

The subdivisions of the uncia were:

Subdivisions of the uncia
Roman unitEnglish nameEqual toMetric equivalentImperial equivalentDescription
siliquacarat1⁄144 uncia0.19g2.9gr 0.0067ozlit."carob seed" The Greek κεράτιον (kerátion)
obolusobolus1⁄48 uncia0.57g8.8gr 0.020ozlit."obol", from the Greek word for "metal spit"
scrupulumscruple1⁄24 uncia1.14g17.6gr 0.040ozlit."small pebble"
semisextula or dimidia sextula1⁄12 uncia2.28g35.2gr 0.080ozlit."half-sixth", "little sixth"
sextulasextula1⁄6 uncia4.57g70.5gr 0.161ozlit."little sixth"
sicilicus or siciliquus1⁄4 uncia6.85g106gr 0.242ozlit."little sickle"
duella1⁄3 uncia9.14g141gr 0.322ozlit."little double [sixths]"
semunciahalf-ounce semuncia1⁄2 uncia13.7g211gr 0.483ozlit."half-twelfth"
unciaRoman ounce27.4g423gr 0.967oz"a twelfth"
Except where noted, based on Smith (1851). Metric equivalents are approximate, converted at 1 libra = 328.9g.

Time

Years

The complicated Roman calendar was replaced by the Julian calendar in 45BC. In the Julian calendar, an ordinary year is 365 days long, and a leap year is 366 days long. Between 45BC and AD1, leap years occurred at irregular intervals. Starting in AD4, leap years occurred regularly every four years. Year numbers were rarely used; rather, the year was specified by naming the Roman consuls for that year. (As consuls' terms latterly ran from January to December, this eventually caused January, rather than March, to be considered the start of the year.) When a year number was required, the Greek Olympiads were used, or the count of years since the founding of Rome, "ab urbe condita" in 753BC. In the Middle Ages, the year numbering was changed to the Anno Domini count, based on the supposed birth year of Jesus.

The calendar used in most of the modern world, the Gregorian calendar, differs from the Julian calendar in that it skips three leap years every four centuries (i.e. 97 leap years in every 400) to more closely approximate the length of the tropical year.

Weeks

The Romans grouped days into an eight-day cycle called the nundinae, with every eighth day being a market day.

Independent of the nundinae, astrologers kept a seven-day cycle called a hebdomas where each day corresponded to one of the seven classical planets, with the first day of the week being Saturn-day, followed by Sun-day, Moon-day, Mars-day, Mercury-day, Jupiter-day, and lastly Venus-day. Each astrological day was reckoned to begin at sunrise. The Jews also used a seven-day week, which began Saturday evening. The seventh day of the week they called Sabbath; the other days they numbered rather than named, except for Friday, which could be called either the Parasceve or the sixth day. Each Jewish day begins at sunset. Christians followed the Jewish seven-day week, except that they commonly called the first day of the week the Dominica, or the Lord's day. In 321, Constantine the Great gave his subjects every Sunday off, thus cementing the seven-day week into Roman civil society.

Hours

The Romans divided the daytime into twelve horae or hours starting at sunrise and ending at sunset. The night was divided into four watches. The duration of these hours varied with seasons; in the winter, when the daylight period was shorter, its 12 hours were correspondingly shorter and its four watches were correspondingly longer.

Astrologers divided the solar day into 24 equal hours, and these astrological hours became the basis for medieval clocks and our modern 24-hour mean solar day.

Although the division of hours into minutes and seconds did not occur until the Middle Ages, Classical astrologers had a minuta equal to 1⁄60 of a day (24 modern minutes), a secunda equal to 1⁄3600 of a day (24 modern seconds), and a tertia equal to 1⁄216,000 of a day (0.4 modern seconds).

Unicode

A number of special symbols for Roman currency were added to the Unicode Standard version 5.1 (April 2008) as the Ancient Symbols block (U+10190–U+101CF, in the Supplementary Multilingual Plane).

Ancient Symbols[1][2] (PDF)
0123456789ABCDEF
U+1019x𐆐𐆑𐆒𐆓𐆔𐆕𐆖𐆗𐆘𐆙𐆚𐆛𐆜
U+101Ax𐆠
U+101Bx
U+101Cx
Notes 1.^As of Unicode version 17.0 2.^Grey areas indicate non-assigned code points

As mentioned above, the names for divisions of an as coin (originally one libra of bronze) were also used for divisions of a libra, and the symbols U+10190–U+10195 are likewise also symbols for weights:

  • U+10190 (𐆐): Sextans
  • U+10191 (𐆑): Uncia
  • U+10192 (𐆒): Semuncia
  • U+10193 (𐆓): Sextula
  • U+10194 (𐆔): Semisextula
  • U+10195 (𐆕): Siliqua

See also

Notes

External links