Weights and Measurements in California's Mission Period: Linear Measurements, Pt. I by Kenneth Pauley Ken Pauley

Part II- Area Measurements
Part III - Volume Measurements
Click to see the next articles in this series on weights & measurements.

This article deals with fundamental units of LENGTH as they were brought to the New World and incorporated into everyday colonial life. This work is intended to aid researchers as they work with documents having troublesome or inconclusive descriptions of weights and measurements.

Our love for metrological accuracy is quite recent; our ancestors of several centuries ago were content with far more general approximations. Consequently, with linear (one-dimensional) measurements, this lack of specificity causes much confusion for anyone trying to interpret historical records. Regionalism, as will be discussed later, complicated this situation even more. Inexactness and a general lack of scientific knowledge, pervasive in Old World Hispania, came to the New World with the early conquistadors. The lack of accuracy in colonial Mexico arose from the fact that they had no need for a universal or precise standard of measurement at that time. Spain had received and adopted its measurements over the centuries indirectly from the Egyptians, Mesopotamians, Phoenicians, Carthaginians, Greeks, and most especially, directly from the Romans.

Central to all of these societies' "metrology systems" were approximations of moderate lengths taken from the human anatomy (e.g., fingers, palms, outstretched hands, forearms, etc.). Examples are found from Egypt's royal cubit, or "meh, "the length of a man's forearm (who knows which man's?) to a Greek man's head, chest, outstretched arms, and foot imprint found on a metrological relief, currently housed in the Ashmolean Museum, Oxford, England. Apparently, all early societies assumed a vague consensus on the dimensions of human appendages, or the distances either man or animal could walk or pace with ease.

Outside of "moderate lengths" there were smaller sizes, such as a fine point (punto) of a pencil, width of a fisherman's line (línea), and larger ones, such as the Roman passus, or 5 Roman feet, a length adopted later as the Spanish paso geométrico, with a slightly truncated 4.57 feet.

From the English came the furlong, or "furrow long," which has a near-Spanish equivalent in the estadio, whose origin was the Greek stadion.The stadion equaled 600 Greek or 606-3/4 English feet, about an eighth of a Roman mile. The furlong derived from more ancient times, as the optimal length that a cow pulling a plough could furrow one row . The largest Spanish linear measurements consisted of the mile (milla) and three times larger, the league (legua), an even 5000 multiple of the established vara.

The earliest transmittal of Roman metrology to Spain probably occurred sometime between the 3rd Punic War (end of Carthage in 146 B.C.) and the rise to power of the Spanish soldier Trajan as Roman Emperor near the end of the first century A.D. Spain's local regional modifications to measurements evolved for the next fourteen centuries. Because of the extreme Spanish regionalism at the time of Mexican conquest in 1519, every Spanish province had measurement systems which only faintly resembled the "official" standard established by Castile. The regional confusions spilled over to Nueva España until the late 16th century when a royal decree established that the vara of Burgos province would henceforth be considered the "standard." In the late 19th century this vara was generally accepted as .8359 meter or 32.909 inches. With time, however, the "vara problem" became progressively worse. W. C. Wattles reports in LAND SURVEY DESCRIPTIONS that there were no less than 22 different values of the vara during Mexico's and California's Spanish and Mexican exploration periods!

Much confusion still prevailed as some early metrologists tried to tease out a universal system from one inherently grounded in imprecision (fundamental lengths from body parts!), and regional variations (political and unsettling!) contributed to the confusion, making any of a number of measurement systems possible and probable during Spain's colonization period.

The chart at the end of this paper is based on the Burgos vara and shows a degree of precision compared to modern metric and English (Society of Automotive Engineers-SAE) standards. Since no academic consensus prevails as to the Burgos standard, extreme care is necessary in using the table. In many cases one unit might have been used to denote a variety of measurements. Some units changed values depending on the commodity, product, or direction being measured and some length measures changed their value over time, such as in the vara, as mentioned, and the league which changed often. Many units had specific usage for vocations such as sewing, shoe or boot making, printing, shipbuilding, agrarian and cattle industries.

England's contribution to a universal measurement "solution," some two hundred years before Spain's entrada into California, added even more confusion. In 1595, under Queen Elizabeth 1, the House voted on the conventional English furlong as being 40 rods, known also as poles or perches, each unit equaling 5.5 yards. The SAE system now begins with a yard consisting of 3 feet with 12 inches to the foot. Differing Anglo-Saxon and Spanish notions about "precision" now came into conflict, adding to cultural and language differences. To this day, the two adopted systems are still out of sync. Spanish cultures now embrace the more exacting metric system, while English speakers are intransigent with base 12 dimensions.

France incorporated the simpler and more exacting metric system shortly after Charles Maurice de Tallyrand, Bishop of Autun, placed before the French National Assembly a plan based on a unit of length equaling that displacement which a pendulum makes in one full swing per second. Louis XVI, in 1790, authorized a scientific investigation aimed at reforming weights and measurements at the end of the French Revolution. Spain followed France, after Napoleon had temporarily suspended the metric system for twenty-eight years, and fully adopted the metric system around 1867, then well past the California Mission Period.

The following list contains twenty-three known length measurements (small to large) existing during the Spanish colonial period, together with the author's hypothesized genesis. The table presented, courtesy of Charles W. Polzer and the Arizona SMRC team, shows the relative relationship between all twenty-three lengths and their dimensions in more familiar SAE and metric equivalents. Please keep in mind that if any other definition of the vara is adopted other than the Burgos provinces, these definitions will be modified, and areas, to be discussed in Part II, will be greatly modified.

LENGTH MEASUREMENTS

punto: An extensively used word in the Spanish language in many idiomatic expressions, meaning a point or dot, the punto was the smallest of Spanish measurements. Used exclusively in sewing, shoe and boot making, and later printing, it was 1/12th of a línea (line) and a little over six-thousandths of an SAE inch.

línea: Spanish for line, línea denotes a "twine's thickness," used for stitch measuring in sewing and most commonly in the fishing industry. It was 12 puntos and 1/9 of a dedo, equaling about 0.076 SAE inch.

dedo: The Spanish word for finger or toe, dedo, begins the scale of measurements associated with the human form. The finger's breadth was handed down centuries earlier. The Egyptian digit (zebo) of 18.7mm and later the Roman digitus (finger) of 18.44mm was transferred to the New World as 17.4mm, using the Burgos definition of the vara (48 dedos to the vara). In SAE units, the dedo measures 0.686 of an inch.

pulgada: The Spanish word for inch, the pulgada was the third most widely used linear measurement, after the vara and legua. These three were used traditionally as small, medium and long lengths throughout antiquity. A man's thumb width (quite often larger during prosperous times) denoted the inch in many cultures. From the Latin uncia, literally a twelfth, we get the words INCH and OUNCE. Starting out as 24.58mm, it arrives in the New World as 23.2mm and is exactly 1/3 of a palmo menor, equaling 0.914 SAE inch.

palmo menor: This measurement came from minor palmus (small palm) or 4 Roman digits, or approximately 3 inches. It was used in Spanish colonial times as subdivisions: 1/2 of the sesma and 1/3 of the palmo mayor. It is about 2.74 SAE inches.

sesma (jeme): A variation of the Spanish word sexma (for 1/6), the sesma was 1/6th of a Burgos vara, or six pulgadas at 5.48 SAE inches.

palmo mayor: (curato, c.1620 DF): Derived again from the Roman concept of a " large palm," the Roman major palmus was 12 digits or three times larger than the small palm. Spain's adoption is similar, with the palmo mayor being exactly three times larger than the menor,or 8.227 SAE inches and is exactly 1/4 vara.

pie: (tercio, c.1620 DF): Spanish word for foot, the pie is 2/3 the size of a codo and 1/3 larger than the palmo mayor. From the Roman pes, a foot of 295.7mm survives to become the Spanish foot at 278.6mm or 10.969 SAE inches.

codo geométrico: (media, c.1620 DF): Spanish for elbow. Traditional naming for measures from anatomical appendages continues. The Roman cubitus, at around 18", now becomes Spain's codo geométrico, at 16.45 SAE inches. Theoretically, it is the distance between the elbow and the outstretched middle finger.

codo real (de ribera): Used primarily in shipbuilding (lit. "along the shoreline"), the codo real is 1/3 larger than the codo geométrico and was exactly 8 palmos menores In SAE terms, approximately 1.83 feet.

paso ordinario: Spanish for a man's length of step or pace and is 1/2 of a paso geométrico. The Roman gradus or half- passus most closely resembles the ordinario, measuring approximately 2.3 SAE feet.

vara: Established within Spain's northern central power province of Burgos in the early 16th century, vara was considered very early on as the Spanish YARD and was used for many other integer multiples. The legal value of the vara set in early 1900 Texas was 33-1/3 inches, but Spanish-speaking countries (including Mexico and California) and those outside of Mexico had many other definitions for this most-used of Spanish measurements. (Burgos Province vara = 32.909 SAE inches)

paso geométrico: Twice the length of the paso ordinario where again Roman influence predominates with the passus, or man's pace, about 5 feet, considered a "long" Roman yardstick. The Spanish paso geométrico measures slightly less than 4.6 SAE feet.

braza: A length used primarily in the shipbuilding industry (meaning "marine fathom"), was actually measured differently for length and height. From Greek times the fathom (orguia), was defined as the distance between fingertip to fingertip of a man's outstretched arms. About 1.83m in antiquity, the fathom transferred to Nueva España as a shorter 1.67m or 5.485 SAE feet.

toesa: A Spanish measurement that had absolutely no common multiples or divisions with any other Spanish measurement. Rather, the toesa was adopted quite independently from an Old French measurement (toise) of approximately 6.38 SAE feet.

marca: As with the toesa, the miarca has no common divisors or integer combinations between the toesa or other Spanish lengths. It appears that this length was used as a height measuring stick, approximately 7.88 SAE feet, for sea and land measurements. It was apparently another French legacy.

estadal: A Spanish linear measurement of about 3.3 meters or 11 SAE feet. The estadal is many even multiples of other Spanish measures. (Please see Editor's Note for the explanatory Table.)

cordel: In Spanish colonial times there were three cordels with distinct integer equivalents of 10, 50 and 69 varas, each measuring in at 27.4, 137. 1, and 189 SAE feet respectively. Used primarily in the agrarian and cattle industries.

milla: The Spanish equivalent MILE or 1/3 of a legua. From the Roman mille passus, or 8 stadia, which contains 1000 paces, came the mile (milliarium). Spain's bequeathal, the milla, similarly contained 1000 pasos geométrico or twice as many pasos ordinaries with many other integer multiples along the way. The milla is 1393m or 0.866 SAE mile. The Roman milliarium was used extensively in antiquity, e.g., along highways where stones were equally spaced and served to form military positions; also in highway maintenance.

legua: The largest of Spanish measurements was the legua, or LEAGUE, which has many divisors and multiplying subdivisions. Exactly 3 millas, 5000 varas or 10,000 codos; it was 2.597 SAE miles or 4180 meters in length.

REFERENCES

Barnes, T. C., Thomas N. Naylor and Charles W. Polzer.
NORTHERN NEW SPAIN: A RESEARCH GUIDE. Tucson: University of Arizona Press, 1981, 68-75.

Berriman, A. E.
HISTORICAL METROLOGY: A NEW ANALYSIS OF THE ARCHAEOLOGICAL AND THE HISTORICAL EVIDENCE RELATING TO WEIGHTS AND MEASUREMENTS. London: British Museum Press, 1953.

Dilke, D.A.W.
MATHEMATICS AND MEASUREMENT: READING IN THE PAST, Vol. II. London: British Museum Press, 1987.

Meigs, III, Peveril.
THE DOMINICAN MISSION FRONTIER OF LOWER CALIFORNIA.. Berkeley: University of California Press, 1935, 165.

Perez, Crisostomo N.
LAND GRANTS IN ALTA CALIFORNIA.. Rancho Cordova: Landmark Enterprises, 1996. Stampa, Manuel Carrera.
"The Evolution of Weights and Measures in New Spain." HISPANIC AMERICA HISTORICAL REVIEW 29: #1 (February 1949): 2-24.

Wattles, Gurdon. (original by William Wattles)
LAND SURVEY DESCRIPTIONS, 10th ed. Tustin: Wattles Publications, 1974.

WEBSITES

Measures from Antiquity and the Bible

Anglo-Saxon Weights and Measures

Surveying Units and Terms

A Chronology of the SI Metric System

The Metric System

TABLES

To PRINT each of these tables on a single sheet of 8 1/2 x 11" paper, set the Page Setup margins at 0.25" for both right and left margins and set the printer to print horizontally (landscape setting). Activate the printing of a particular table by right-clicking on it so that a box of choices comes up and click again on "Print Picture."

HOME | About | Archaeology | Archive | Articles & Book Reviews | Bibliographies | Conference | Directory | Events | Illustrated Glossary | Journals | Links | Membership | Publications

Article reprinted by permission and with acknowledgement of the author. All rights reserved.
Webpage © 1997-2004 CMSA Last updated 15 December 2004