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Taking Measure

Just a Standard Blog

From the Noggin to the Butt: Quirky Measurement Units Throughout Human History

Illustration shows the word "SKOR" with a horned helmet, a stick and pastures with sheep.
"Score," as in "Four score and seven years ago," is from the Old Norse word “skor” meaning notch. The score is believed to originate from the practice of counting cattle or sheep; a farmer would put a mark on a stick after counting each group of 20. 
Credit: B. Hayes/NIST

When we talk about measurement units here at the National Institute of Standards and Technology (NIST), you'll typically hear us rattling off the official ones — such as the meter, the second and the kilogram. These official measurements, which are part of the International System of Units (SI), have evolved from quantities that people mostly defined with their bodies and everyday items to more universal measures that even an extraterrestrial could readily understand — and may even be using (assuming they exist and have an institution like NIST).

But as much as we love the SI, today we’ve decided to share with you some of the many quirky (and decidedly nonstandard) measurement units that humans have invented throughout the ages.

At the dawn of recorded history, the Egyptians and other ancient cultures based the cubit on the distance from the elbow to the end of the middle finger. A Roman mile equaled 1,000 paces that Imperial soldiers would march together in formation. Each pace was approximately 5 feet, and therein lies the problem: The distances were approximate. In medieval times, English traders disputed the exact length of the yard, but as legend has it, King Henry I of England (who ruled from 1100-1135) settled the issue by defining the yard as the distance from the tip of his nose to his extended arm. On more solid historical ground (but still shaky measurement science ground), King Edward II of England declared in 1324 that the inch was the length of three grains of barley arranged end to end (thereby begging the question, “Which three grains?”).

Animation illustration shows Egyptian with arm as a unit of measurement.
The Egyptian cubit was based on the distance from the elbow to the end of the middle finger.
Credit: B. Hayes/NIST

Students of U.S. history have likely heard of a score, or 20 years, as in Abraham Lincoln’s “Four score and seven years ago” line in the Gettysburg Address, but do you know where the term comes from? It’s from the Old Norse word “skor” meaning notch. The score is believed to originate from the practice of counting cattle or sheep; a farmer would put a mark on a stick after counting each group of 20. (While the unit itself may not be as quirky as others, we’ve included it because we thought at least its origin story wouldn’t put you to sleep.)

While we’re on the subject of agriculture, the cow-calf unit estimates the amount of land that is needed to provide food (in the form of grass and other plants) for a beef cow with a calf at its feet. Still used today in various forms, it’s meant to compare the food requirements for different types of livestock such as goats (typically an eighth of a cow-calf unit), pigs (one-fourth) and alpacas (one-tenth). 

In trade, it’s important to have measurement units for a product’s weight, or more precisely, as we know today, its mass. An object’s weight depends on the strength of gravity at wherever it’s located, but its mass is the same anywhere, whether it’s on Earth, Mars or in orbit. 

Animated illustration shows two people, one lifting a bat shape and the other holding a scale.
The batman was a unit of mass that originated in the ancient city of Babylon.
Credit: B. Hayes/NIST

Before superheroes, before comic books, even before most of recorded history, there was the batman — not the Dark Knight of today, but a unit of mass that originated in the ancient city of Babylon (near what is today Baghdad, Iraq) that is equivalent to 7.7 kilograms or 16.7 pounds. The batman was used for trade well into the Middle Ages. 

Quirky measurement units didn’t go away in modern times. Physics students still learn about the slug, a unit of mass in the U.S. customary and British Gravitational System of units. It’s a decidedly less elegant-sounding counterpart to the metric system’s kilogram. In case you’re wondering, the term originally referred to a slab of metal, not a little slimy creature, evidenced by the fact that one slug is equal to about 15 kilograms.

Perhaps the enterprise with the greatest number of quirky units is the measurement of alcoholic beverages. The effects of these beverages notwithstanding, it’s likely you’ll briefly forget about the liter or fluid ounce when you hear about the butt. Moreover, you may not think you’re hearing things correctly when you learn the butt is the equivalent of two hogsheads. In the U.S., one butt is equal to 126 gallons (so a hogshead is equal to 63 gallons). 

If you’d like to cleanse your palate after all this and sound a bit more sophisticated, you can name-drop the international bitterness unit (IBU) scale to your beer-loving friends. One IBU is equal to a part per million of an acid in hops known as isohumulone that gives beer its bitter taste (above 45 IBU is pretty hoppy). A noggin (or gill) was first used to describe a quarter pint and later a half pint. The ale gallon, which Queen Elizabeth I of England established but is no longer used today, is equal to about 1.22 gallons (to account for all the foam that comes out from the tap, perhaps?).  

Animated illustration shows person holding glass with hog head appearing from it.
A hogshead is equal to 63 gallons (or half a butt).
Credit: B. Hayes/NIST

Some people use air quotes, and others play air guitar, but did you know that vacuum manufacturers sometimes use the air watt? Developed by the standards organization ASTM International, it essentially expresses a vacuum’s suction power in terms of its airflow rate and suction pressure. It’s different from the ordinary electrical watt that is used to describe the power of a lightbulb or hairdryer. 

A fictitious year may sound like a period of time we want to pretend never happened (or an entire season of the soap opera Dallas that its producers wanted us to forget), but it actually describes the amount of time it takes an ideal version of Earth to revolve around an ideal Sun. No longer used, its purpose was to accurately mark the time at which certain astronomical events would occur (such as the position of a star in the sky) while ignoring irregularities in the Earth’s orbit.

Quirky units continued to spawn in the digital age. In computing, engineers came up with the nibble (four bits of information) and the crumb (two bits), building upon the wordplay that began with the byte (eight bits). When naming the byte, its creator Werner Buchholz spelled the term with a “y” and added an “e” all to avoid confusion with the single bit. 

You might think it’s related to vaping, or a magic dragon, but a puff is an informal name for a picofarad (pF), which describes an object’s ability to hold electrical charge. Engineers sometimes use the term jerk to describe the rate at which acceleration changes; it sounds like a natural unit to use when designing roller coasters.

Animated illustration shows a person vacuuming while playing air guitar.
The air watt expresses a vacuum’s suction power in terms of its airflow rate and suction pressure. 
Credit: B. Hayes/NIST

The parsec is not a quirky unit per se, but it got put to quirky use in the original 1977 “Star Wars” movie when Han Solo boasted that he “made the Kessel Run in less than 12 parsecs.” The problem is that the parsec is not a unit of time but distance. We might want to blame the Imperial Academy that Han briefly attended for miseducation, but the problem was nonetheless solved onscreen in the 2018 prequel film Solo: A Star Wars Story. As it turns out, Han navigated the famous spice-smuggling route by using black holes whose space-time distortions reduced the route’s usual distance from 20 to 12 parsecs. We don’t know another example of retconning a scientific measurement unit so that it’s used properly in a movie, but we sure do appreciate it!

In addition to being fun, quirky units demonstrate how important measurement has been throughout the entire history of our species. They provided a (somewhat) common language that people used to describe how big something was and how much something weighed, so that two traders could agree on a fair purchase price, for example. They became problematic when they varied from place to place, or person to person. In contrast, today’s units depend on unchanging constants of nature, such as the speed of light. Unlike someone’s forearm or butt, it’s something everyone in the world — and hopefully even an extraterrestrial — could agree on. 

You can find many more quirky measurement units online, including two of the sources that I used to compile this blog post: How Many? A Dictionary of Units of Measurement (compiled by Russ Rowlett, a retired professor at the University of North Carolina) and the Oxford Dictionary of Weights, Measures, and Units. And if you’d like to take a break from the quirkiness, and learn about how today’s scientific measurement units were recently updated to all be the same everywhere in the world, and even the universe, check out the NIST site on the SI Redefinition.

About the author

Ben P. Stein

Ben P. Stein is managing editor in the NIST public affairs office, where he edits and writes news articles and other content about the agency’s research and programs. He has a bachelor of science degree in physics from Binghamton University and a master of arts in journalism from New York University. He has also worked at the American Institute of Physics, where he most recently served as director of its Inside Science news program.

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I'm surprised you left out the Smoot, given that Oliver R Smoot was once the Chair of ANSI

Thanks for your comment. There were many to choose from but the smoot would have been a great one for us to mention. It's definitely a very quirky unit especially since Oliver Smoot's classmates used his height to measure the length of the Harvard Bridge! I had heard that tale a number of years ago, but hadn't realized that Smoot had gone on to serve as chair of ANSI. I also see he then became president of ISO too--this is all very ironic!

There is also the unit of taciturnity, the dirac, which is speaking at the rate of one word per hour.

I hadn't heard of the dirac as a unit of measurement but it brings to mind the recurring Bob and Ray routine. Ray Goulding interviews Bob Elliot:
"Yes ...... , I ...... am ...... the ...... President ...... "
"That's very interesting, maybe you can tell us ..."
"and ...... Recording ...... Secretary"....... of ...... "
"And the recording secretary! What is your organiz ... "
"the ...... S...... T...... O...... A."
"I don't believe I heard ... "
" the ...... Slow ...... "
"The slow what ...?"
"Talkers ...... "
"Oh, the Slow Talkers? Well, that's very inter .. "
"of ...... "
"Boston! The Slow Talkers of Boston!"
...... America"

Brilliant look at some not-so-famous metrics! Truly enjoyed reading this. Well done, Ben!

As an architect/engineer I live with dimensions and quantities day in and out. Over the years the traditional modes of distance being associated with human body parts has never rung true. It immediately becomes apparent when you realize that not one of us is exactly the same and therefore standardizing any distance measurement on those factors is doomed to fail; but the myth persists. I am aware of the old saw, from the (Egyptians and Greeks on) that "Man is the measure of all things." It seems there is no accounting for ego. Using a barleycorn or a mustard seed for small units may have some value; but quickly fades when it comes to any kind of quantity. Now we know where the expression "bean counter" comes from.
For awhile I reviewed the "new age" theorists systems and have yet to dismiss them as speculative pipe dreams; but to think that the ancients were a great deal more systematic than we have given them credit. These comments are not the place to "split hairs" on what our forebearers were capable of discerning, or not; but it is fairly clear the ancients did not have the technical ability to accurately measure a second any more than we could until electronic means were invented. Yet, 22/7 is a pretty good Pi for all practical purposes, if you are not a machinist or dealing with tolerances in the nano-pico-meters. As an example of tolerance limits: In doing cabinet work I could get a drawer (or door) to close to 1/128 inch. Old dead eye. What I discovered was: 1. There is such a thing as air pressure which requires more of a gap. 2. All materials expand and contract with heat (or lack thereof) and some with moisture. It is essential to leave space in everything we build. Tolerances are every bit important as "precision". I think, the older I get, the same for human affairs. All in all a very entertaining article. Thanks
John Shuttleworth
New York City
March 2022

Well, I understand your reasoning, but historians of art and architecture (such as myself) would have to disagree. That is not because we assume ancient or medieval people were incapable, but rather because we go around measure the actual things they made, and then we try to make sense of the measurements we find. To over simplify: you find walls from a medieval rectangular brick room, observe that the proportions of the room were 8 x 10, and the long wall (10) is 30 bricks. One tenth if that, you observe, is exactly 3 bricks long, and it’s about a yard. You measure this yard and see it is actually 32.3 inches, but, if the other wall is (8x 3=) 24 bricks long, it’s clear that from the builders were thinking in terms of multiples of three bricks. You may then be able to determine that the rest of the walls of that building are also conceptualized as multiples of three bricks, and the brick size is consist. So you can figure that this 3 brick length of 32.3 inches is “the yard” for that building. If it works nicely for measuring the whole village, then you can say that Village A’s yard was 32.3 inches. But then, you go to the next village, Village B. You find another rectangular room in proportions of 8 x 10, again with 24x 30 bricks. But there, three bricks is consistently 37.8”. Yet, this new unit works for well for measuring buildings in Village B, so now we know that is Village B’s yard. Which is different than Village A’s. This conclusion does not imply that ancient or medieval people were incapable, but simply that standards were local rather than widely spread, … and probably, that bricks were made on site at each village. Why? Well, you avoid having to transport the bricks, and, what matters for the structural integrity of a given wall is that all the bricks for the same project should be similar in size.

Thanks for your interesting insights. I didn't at all mean to imply that ancient and medieval people were any less capable than the people of today; in fact, I see the main difference as being that there was less long-distance communication and technology in general. I tried to convey the same point that you make by writing that the earlier units "provided a (somewhat) common language that people used to describe how big something was and how much something weighed...They became problematic when they varied from place to place, or person to person." I liked your example of the houses built by Village A and Village B, and agree they have no issue if they use bricks created in their own village. But what happens when people from each village want to trade goods? Then different mass or length measurements might become a problem they have to resolve. Your example also reminds me of the difference between the Irish acre and the English acre. As I understand it, the Irish acre is 1.62 English acres because the linear perch or rod on which they are each based is 1.27 times longer in the case of the Irish version. As you point out, these local standards could provide pretty much everything these earlier societies needed. Your comment helps me to appreciate that the driver for more universal measurements has very much to do with the emergence of long-distance communication, and the need, for example, for universal time instead of local time and an internationally agreed upon unit of mass for global commerce. Thanks so much for reading the piece and I really appreciated your comments!

a new "unamed" unit of power is the "stone- furlong per fortnight"

It might be popular in the UK

I've spent years arguing that half a nybble should be a quartyr -- both because it's a quarter of a byte and because it's two bits whether speaking digitally or financially. (Pieces of eight! Awwk!)

" but its mass is the same anywhere, whether it’s on Earth, Mars or in orbit. " Not exactly. Mars and Earth are moving at different velocities. See "Mass" in Wikipedia, especially Relativistic Mass. Anyone performing sensitive enough measurements would need to be aware of the complexities. Mass increases with velocity which is why humans won't get to roam the Galaxy without finding a way to avoid Mr. Einstein and his legacy.

Thanks for your comment! I'm referring to rest mass, which is invariant. I like the concept of relativistic mass that you mention; the effect of velocity on relativistic mass is a beautiful illustration of how mass and energy are equivalent, as Einstein showed us!

Interesting we'd see an article like this from the last nation on earth still using feet, pounds, miles, inches, galuns etc. and whose government actively perpetuates an obsolete relic from a bygone epoch.

Peter Piper picked a peck of pickled peppers. If Peter Piper picked a peck of pickled peppers, how many pickled peppers did Peter Piper pick?

In other words, how much is a peck?

The peck is a unit of measure for dry volume, and it's equal to two gallons (about 3.8 liters). Also, four pecks make a bushel. So Peter Piper picked a quarter-bushel of pickled peppers!

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