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Working on Hetric, a hexadecimal metric system Similarly to SI, Hetric has seven base dimensions and, therefore, seven base units: time in ticks (t), length in spans (sp), mass in gravs (gv), temperature in therms (th), current in unes (U), angle in zawia (zw), and luminous intensity in lee (Le).

The tick, the base unit of time, is defined in the same way as the second: the unperturbed ground-state hyperfine transition of Cs-133 is equal to 16^8 tak (tk) (where 1 tak is t^-1 or 1/t). This means that 1 t ≈ 0.4672184640 s.

The span, the base unit of length, is defined such that the speed of light in a vacuum, c, is 16^7 sp/t exactly, making 1 sp ≈ 0.5217960915 m. The grav, the base unit of mass, is defined such that the Planck constant h = 16^-25 gv⋅sp^2/t, making 1 gv ≈ 1.441364926 g.

The therm, the base unit of termperature, is defined such that the Boltzmann constant k = 16^-17 gv⋅sp^2 / t^2⋅th, making 1 th ≈ 2.266665264 K. The une, the base unit of electric current, is defined such that the elementary charge e = 16^-15 kf (1 kifi = U⋅t), making 1 U ≈ 0.3953576405 A.

The zawia, the base unit of angle, has the exact same definition as the radian but is treated as a base dimension instead of some dimensionless unit, meaning 1 zw = 1 rad by definition. The lee, the base unit of luminous intensity, is still being defined :3

OH. PREFIXES. I SHOULD PROBABLY POST THE PREFIXES I HAVE FIGURED OUT tria- (T) = 16^6 = 0x1000000 doda- (d) = 16^3 = 0x1000 byta- (b) = 16^2 = 0x100 hexa- (ha) = 16^1 = 0x10 hexi- (h) = 16^-1 = 0x0.1 octi- (o) = 16^-2 = 0x0.01 doci- (c) = 16^-3 = 0x0.001 teri- (r) = 16^-6 = 0x0.000001

so 1 Tsp = 1 triaspan = 16^6 × 0.5217960915 m ≈ 8,754,285.73505126 m ≈ 8.75428573505126 Mm 1 dt = 1 dodatick = 16^3 × 0.4672184640 s ≈ 1913.72682854 s ≈ 31.89545 min

Also, because Hetric is based on hexadecimal, we need a way in English (and probably other languages) to say hex numbers that aren’t just listing the digits (hexits?). 0-9 are obvious. A is ten, B is eleven, C is twelve, D is thirteen, E is fourteen, and F is fifteen.