John and the Argot-nauts

By The Metric Maven

Bulldog Edition

You’re eighteen hands at the shoulder

— Heavy Horses by Jethro Tull

Thurston

John Bemelmans Marciano (JBM) often laments what might be lost aesthetically if we were to switch to the metric system. In  his ill-titled book Whatever Happened To The Metric System? he discusses his “family business”:

Our family business was horses, Like any insular community, the horse world comes with its own specialized vocabulary, but it is  particular in preserving so many dialectical relics. Riding pants are called “britches,” an old variant of “breeches,” a fashion that began to disappear when it became a symbol of aristocrats during the French Revolution. …

***

The terminology of horses also includes a couple of otherwise obsolete but once widely used measures, the furlong and the hand. Races under a mile are held in furlongs, of which there are eight to a mile, while the height of horses is measured in four inch hands. The cutoff between a horse and a pony comes at 14.2 hands (which is not fourteen and two tenths but fourteen and a half) as measured to the withers. These terms are the only ones used; to call a six-furlong race three quarters of a mile would sound odd, and to say a pony has to be four feet ten inches tall or shorter absolutely ridiculous.

For me, the hand and furlong were measures that meant something, and I could visualize them in a way I couldn’t a kilometer or anything else metric, save liters of soda. Not that I thought much about the metric system after I finished school. At least not until I had to.

It is interesting that when JBM mentions a metric measure to which he can relate, in this case the liter, it is a metric measure that is ubiquitous in the U.S.. He then divulges that for him, the height of horses only has meaning when presented in hands, and again is a unit with which he is personally familiar, but is arcane to the majority of the U.S. public.

The measurement of horses using hands involves entry into the world of the sport of kings, which most of us plebeians have not experienced. A childhood friend had a considerable number of horses, and we would ride them during the Summer for short periods. He showed me how to saddle a horse, and make sure the girth used was held tight until the horse exhaled, or the saddle could slip. I do not recall him mentioning horse heights in hands. Of course this was a common Midwestern farm, and he was not breeding horses for races run in furlongs. There were horses on my cousin Ralph’s farm, and I don’t recall him once describing their height in hands. It was not as if I had not been around horses through my teenage years, I had. It is possible the height of horses in hands was mentioned, but I did not take notice.

The use of the hand to measure horses is rather esoteric. A “hand” is standardized to four inches. According to Wikipedia, the hand is used in Australia, Canada, the Republic of Ireland, the UK and the United States to measure horses. Apparently, only when the international inch was finally adopted, could the hand become a standard size. In other words it was not until the international inch was defined in terms of the metric system that this unit of kings had a single agreed-upon value. Despite the alleged “naturalness” of hands, elsewhere in the world horses are measured in metric units.

There are a number of websites that explain how to measure your horse in hands. JBM brought up the fact that the height above which a pony becomes a horse is 14.2 hands. The value 14.2 in hands is 14 hands with what appears to be a decimal point. It is NOT a decimal point, but is instead a separator between two types of units. The two units are hands and inches, and this linear quantity is written as hands.inches. But wait! there are only four inches to a hand, so the number after the separator point is never four or above. One hand is four inches or 1.0 and two and one half hands are 2.2, so obviously 14.3 hands is 59 inches. According to one source, one can also add a fraction of an inch at the end. One can have a horse that is 14.2 1/2 HH where the HH stands for Hands High, or just H for hands, or in other cases hh and h lower case. So we have a measurement notation that uses what is generally interpreted as a decimal separator or radix instead as a units separator with the option of fractions tacked on at the end? This is the numerical wonder that JBM insists on preserving?!

Decimal notation never adds any of these complications. It is also standard throughout the world. The left side of the decimal point has each place multiplied by ten. We recognize 123. as 1 x 100 + 2 x 10 + 3 x 1. On the right hand side the downward decrease by ten continues without discontinuity. The number .456 is 4/10 + 5/100 + 6/1000. The total number 123.456 has but one rule of interpretation and attaches to it only one type of unit.

Perhaps I’m reading too much into John Bemelmans Marciano’s embracing of the hand as a meaningful unit. Perhaps it is only a unit created so that he can segregate himself from other tribal groups. The way the hand unit is used appears to be a numerical form of argot. Wikipedia defines argot as:

An argot is a secret language used by various groups—e.g. schoolmates, outlaws, colleagues, among many others—to prevent outsiders from understanding their conversations.

The purpose of an argot is not to facilitate communication, but to restrict it to an “in group.” A classic example would be the CB radio argot of the 1970s in which truck driver’s referred to a Volkswagen Beetle as a “pregnant rollerskate.” One reason for the implementation of the metric system was to eliminate argot, and the graft that accompanies it, with a universally understood measurement system.

Eye-Hand

John Bemelmans Marciano sees the metric system as inhuman and sterile, he celebrates his equine argot as something with a deep rich meaning. JBM believes he should be left alone to pursue his furtive world of aristocratic-hipster measures. His constant eagerness to tie the metric system to the horrors of the French Revolution, and his insistence on patrician equine argot, points toward a desire to simply preserve elitism. In his book, Marciano seems to say: “I’m just like Neal Cassady,  but I see the world like Thurston Howell III.” With JBM, it is the dog that does not bark (measured in hands?) that is most interesting. That metaphorical dog is John Wilkins, the Englishman who first proposed the system part of the metric system. The ad nauseum guilt by association of the metric system with the French Revolution that JBM uses in his book, appears to be but a polemic device. Without it, JBM’s rickety “thesis” of the origins of the metric system during the French Revolution could not support itself for an attosecond. There is the Sport of Kings, and measurements designed for the common person, and they will remain segregated!

For just one moment, let’s look at the hand’s relation to metric quantities. A hand is four international inches or 101.6 millimeters. So one could create a “metric hand” that is exactly 100 millimeters. The value of 14 hands would be 1400 mm, and with another half of a metric hand we obtain 50 mm or 1450 mm. This is the height at which a horse and pony have their demarcation. It’s really simple to use millimeters, take the number of hands multiplied by 100 mm, or just add two zeros. Therefore 10 hands is a meter, 12 hands is 1200 mm. Marciano’s central argument that metric is not “natural” and “For me, the hand and furlong were measures that meant something, and I could visualize them in a way I couldn’t a kilometer or anything else metric” is ridiculous. Marciano shows an epic lack of familiarity with the metric system, despite finding a way to write a book with metric system in its title.  JBM does not notice that the hand can be seen as a “stealth metric measure,” which is almost exactly commensurate with a direct value in millimeters! Apparently millimeters are quite natural.

We see that 14 and one-half metric hands is 1450 mm. If one told JBM that Big Jake, the world’s tallest horse, is 2102 mm, could he not immediately realize that Big Jake is essentially 21 hands tall! Is JBM’s real desire to preserve the hand as elitist equestrian demarcation? Preserving metrological argot promotes separation of the U.S. from a measurement system that has been embraced by 95% of the world’s population. Not one country has expressed interest in returning to pre-metric measures after converting to metric. When the entire world agrees on one measurement system, it reduces the opportunity for fraud. In my view, JBM’s celebration of the hand, is nothing but an elitist “bitch-slap” of ordinary humanity.

Related essays:

Bonfire of The Vanity Units

Whatever Happened to the Metric System?


If you liked this essay and wish to support the work of The Metric Maven, please visit his Patreon Page and contribute. Also purchase his books about the metric system:

The first book is titled: Our Crumbling Invisible Infrastructure. It is a succinct set of essays  that explain why the absence of the metric system in the US is detrimental to our personal heath and our economy. These essays are separately available for free on my website,  but the book has them all in one place in print. The book may be purchased from Amazon here.


The second book is titled The Dimensions of the Cosmos. It takes the metric prefixes from yotta to Yocto and uses each metric prefix to describe a metric world. The book has a considerable number of color images to compliment the prose. It has been receiving good reviews. I think would be a great reference for US science teachers. It has a considerable number of scientific factoids and anecdotes that I believe would be of considerable educational use. It is available from Amazon here.


The third book is called Death By A Thousand Cuts, A Secret History of the Metric System in The United States. This monograph explains how we have been unable to legally deal with weights and measures in the United States from George Washington, to our current day. This book is also available on Amazon here.

Parts is Parts

CO Detector Panel

By The Metric Maven

One Autumn night I was awoken at 2:00 AM by the shrill report of the carbon monoxide (CO) detector in my bedroom.  I was slightly concerned, but mostly annoyed. This CO detector (and another identical unit) had been prone to setting off their alarm even when I suspected nothing was wrong. When I had a new water heater installed a few years back, the company gave me a new CO detector for my basement. I gladly replaced the CO detector that cried wolf with the new unit. So far it has never sounded an alarm. What I dislike about both units is they have no units displayed. They either shriek or don’t shriek. I determined that, if possible, I was going to purchase a new CO detector which provides measurement information. I found a new CO detector, and it indicated that it has a readout, in parts per million (PPM).

The instructions indicated that a low level of CO is 0 to 50 PPM, a mid level of CO is 50 to 100 PPM, and a high level of  CO is above 100 PPM. The detector alarm sounds above 100 PPM. These are all nicely defined values, but I’ve never been sure about parts per million as a “unit.” I assume parts per million of carbon monoxide is the number of parts of CO in a million parts of other stuff. It seems like it’s telling me something, but not quite. I recall a late friend who was a political cartoonist expressed great concern to me that a toxic substance had been found in biscuit mix in parts per billion. I wasn’t sure what to think, a billion is a very big number (1 000 000 000), I wondered if this was even something of concern without any investigation, but with a simple estimate. If the  Earth’s diameter (12.75 Mm) is divided by a billion, one could drop it into the cap of some ball point pens (12.75 mm). I  wondered out loud if sea snake venom, or plutonium in this dilution would be deadly. It seemed like parts per trillion would be almost vanishing in their concentration.

The deadliest snake in the world is said to be the Inland Taipan which is found in Australia. When it delivers a bite (often repeatedly) it injects between 44 and 110 milligrams of venom. The median lethal dose in mice is 25 micrograms/Kg. Below is a comparison of the lethality of a sample of snakes.  The units typically used are milligrams/Kg, but I used micrograms to produce integer numbers (see Naughtin’s Laws).

Inland Taipan (Australia)                                                                                  25 μg/Kg
Beaded Sea Snake                                                                                       164 μg/Kg
Indian Cobra                                                                                                  565 μg/Kg
Eastern Diamond Back Rattlesnake (North America)                             11 400 μg/Kg

But what is this in parts per million?—I have no idea. Parts per million in air can be the number of grams of a substance for every million grams of mass. This is parts per million by mass. It can also be one milliliter of gas for every million milliliters of air. This is parts per million by volume. A third choice is 1 gram of gas for every million milliliters of air. This is parts per million by mass per volume. I think I feel justified at my confusion. Given the units are mass over mass milligrams/Kilogram is a factor of one million, so the LD50 values appear to be:

Inland Taipan (Australia)                                                                              0.025 PPM
Beaded Sea Snake                                                                                     0.164 PPM
Indian Cobra                                                                                                0.565 PPM
Eastern Diamond Back Rattlesnake (North America)                              11.400 PPM

So if these doses were increased by one thousand, they would be parts per billion, and have the same values as found in the first table.

Inland Taipan (Australia)                                                                                 25 PPB
Beaded Sea Snake                                                                                      164 PPB
Indian Cobra                                                                                                 565 PPB
Eastern Diamond Back Rattlesnake (North America)                            11 400 PPB

It appears that the political cartoonist was right, parts per billion can be a problem, but which parts per billion? In this case it’s parts per billion by mass. In the case of my CO detector it just states parts per million, so which PPM? I’m quite sure that “parts is parts” does not apply. Also there are two different “versions” of the words used for magnitude descriptions, which are called long and short scale.

In the case of gasses, it makes sense to have a standard temperature and pressure, and express values with metric units. This is often done with mass over a given volume which is a density. It is possible to convert 50 PPM CO to an equivalent value of 58 milligrams per cubic meter. One hundred parts per million is about 115 milligrams per cubic meter. These values are close enough that the CO levels of concern could be 0 to 50 mg/m³ for low levels, 50 to 100 mg/m³ for mid levels, and 100 mg/m³ and above for high levels of CO. I can imagine a milligram spread over a cubic meter, but an alternative could clearly be a version of grams per liter. In both cases one can visualize the quantities involved more intuitively. Milligrams are a common dosage mass for aspirin and other over the counter products.

Carbon dioxide (CO2) is a greenhouse gas, and its concentration has been measured since the late 1950s at Mauna Loa, Hawaii. The value is generally given in parts per million, which has very little meaning for me. Here is a current graph of the Keeling Curve:

Mauna_Loa_Carbon_Dioxide

The values would make a lot more sense to my intuition if the graph were in mass per cubic meter. Assuming the analysis presented here is correct, we can re-plot the monthly data (I could not find the seasonally corrected data) in terms of milligrams per cubic meter, assuming 380 ppmv is 684 mg/m³:

Measured at Mauna Loa, Hawaii

I can immediately estimate that the amount of CO2 per cubic meter has increased by about 100 milligrams per cubic meter since 1982 (http://spacemath.gsfc.nasa.gov/data/KeelingData.xls). The upper graph has a value of about 315 ppmv in 1960, which is approximately 567 milligrams per cubic meter. So just since measurements have been kept, the amount of CO2 in the air has increased by about 130 mg/m³. I have some intuitive understanding of this increase, and it seems like a lot!

Sulfur Dioxide (SO2) is another common pollutant. A blogger named Rei has been measuring the amount of sulfur dioxide with pollutant meters located around the Baroabunga volcano in Iceland. His blog Barobunga: “Like Being In An Enclosed Space With A Diesel Engine.” first describes human safety limits, and context levels in micrograms per cubic meter from 20 micrograms per cubic meter to the highest recorded concentration, 1000 µg/m³, taken next to Russian smelters. He observed this graph on 2014-09-10:

Sulfer Dioxide Measurement

Rei had the reaction I would have: “could that be right?” Perhaps the equipment calibration was off?—or some other problem had occurred. After checking the equipment, it was determined that these measurements are accurate. The measured levels peaked at almost 2600 µg/m³. This plume descended on a nearby town and began to produce respiratory distress. (tip of the hat to Helen for posting a link to this article) I’ve always been doubtful about the use of parts per million, billion, trillion and so on as providing any understandable quantitative information. This article by Rei re-ignited my interest in this question.

The Wikipedia page on sulfur dioxide shows that the amount of the substance released into the air has decreased from 28.3 Megagrams in 1970 to 17.1 Mg in 1999 (the last year data is provided). Knowing the 24 hour safety limit for the World Heath Organization is 20  µg/m³ one can see that 17 Megagrams released in the the air above the US is a significant amount of pollution. One aim of this blog is to examine the clearest expression of numerical magnitudes possible to convey information in the most accessible way possible. It seems that it might be best to go with expressions which contain metric units over those which are in terms of normalized values (i.e. PPM). Determining the best method of expression in the case of CO and SO2 is not just an academic exercise, peoples lives can be lost from misinterpretation. Mass of pollutant per cubic meter of air looks like a good way to express these values, but this is a serious enough question that it should be the subject of rigorous study.

EU NOx Pollution Limits
click to enlarge

In September of 2015 Volkswagen admitted that it had rigged car emissions tests using software. This fraudulent activity affected about 11 million cars. New Scientist in a 2015-10-03 article entitled The Curious Case of NOx Pollution stated: “If this practice is widespread, it could help explain why NOx emissions in many European countries continue to overshoot targets.” The figure to the left is from the article. The limits are in micrograms per cubic meter. Perhaps the world is beginning to change and use this more accessible way of numerical expression. Unfortunately the U.S. has not embraced the metric system and abandoned its medieval units in the 21st century. If it did, we all might breath a little easier.


If you liked this essay and wish to support the work of The Metric Maven, please visit his Patreon Page and contribute. Also purchase his books about the metric system:

The first book is titled: Our Crumbling Invisible Infrastructure. It is a succinct set of essays  that explain why the absence of the metric system in the US is detrimental to our personal heath and our economy. These essays are separately available for free on my website,  but the book has them all in one place in print. The book may be purchased from Amazon here.


The second book is titled The Dimensions of the Cosmos. It takes the metric prefixes from yotta to Yocto and uses each metric prefix to describe a metric world. The book has a considerable number of color images to compliment the prose. It has been receiving good reviews. I think would be a great reference for US science teachers. It has a considerable number of scientific factoids and anecdotes that I believe would be of considerable educational use. It is available from Amazon here.


The third book is called Death By A Thousand Cuts, A Secret History of the Metric System in The United States. This monograph explains how we have been unable to legally deal with weights and measures in the United States from George Washington, to our current day. This book is also available on Amazon here.