I find this same principle is perhaps better exemplified by weights/volumes commonly used in cooking. Since many sizes (1 cup = 8 fl.oz, 1 pound = 16 oz, 1 gallon = 128 fl.oz, 1 fl.oz = 2 tablespoons, etc) are powers of 2, scaling recipes up or down on the fly is extremely easy.
On the other hand, given an accurate metric scale, all recipes can be converted to weights, allowing scalar conversions. However, I suspect the proliferation of accurate scales in home kitchens is a relatively recent (nascent?) phenomena.
E.g.:
People often point to that decimal portion and say it makes metric impossibly hard, but to anyone used to the system, it reads “‘bout half”. Most home measurement problems are not super exact science.
Seems to work well with miles
miles ft 1/10 528 1/11 480 1/12 440 1/15 352 1/16 330 1/20 264 1/22 240 1/24 220 1/30 176 1/32 165 1/40 132
miles yds 1/2 880 1/4 440 1/5 352 1/8 220 1/10 176 1/11 160 1/16 110 1/20 88
So I suppose if metric just isn't signal-y enough for you (in the general sense of "you", not JackFr), you can join the call for the world to convert to duodecimal: http://www.dozenal.org/
It's not common enough to use with other people, but I use dozenal in my personal projects and journal whenever possible.
22 yards in a chain 10 chains in a furlong 8 furlongs in a mile.