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thechao 7 months ago

Since this comes as a surprise to many of my first-time British colleagues: US customary and Imperial use the same names, but are different units. The US customary volume units (cups, gallons, etc.) are on two scales: the "tablespoon scale" which is all powers-of-two, and the "teaspoon scale" which is a third of some nearby tablespoon scale.

I used to have a handy chart of the mapping of "prefix" to power-of-two, for 2^-7 to 2^7.

Also, the US foot was supposed to be exactly 30cm, but the French couldn't get their shit together, in time.

BoxOfRain 7 months ago | parent [-]

Another fun fact is that UK gallons are based on the volume occupied by ten pounds of water. Combined with the fact there's 20 ounces in UK pint this means a fluid ounce of water weighs an ounce, and a pint of water weighs a pound and a quarter.

Not that you're very likely to encounter British fluid ounces any more, the smallest imperial unit of volume I generally run into is the half-pint.

thechao 7 months ago | parent [-]

Yeah. It'd've been neat if the US gallon was defined to be 256in^3 (with the US in being exactly 2.5cm). Then, it'd be exactly 4000 cm^3 (4L) to a US gallon, and the table of "prefixes" would be:

    gallon      2^0

    half-gallon 2^-1
    quart       2^-2
    pint        2^-3
    cup         2^-4
    gill        2^-5
    jill        2^-6    -- invented half-gill
    ounce       2^-7
    tbsp        2^-8
    half-tbsp   2^-9
    dram        2^-10
The "positive" values are harder; you'd have to steal/reappropriate the dry prefixes:

    peck        2^1
    half-bushel 2^2
    bushel      2^3
    half-barrel 2^4
    barrel      2^5
    hogshead    2^6
    ???         2^7
    ???         2^8