In a well known Maxwell paper he uses the units of wavelength which he calls the Fraunhofer Measure. He states it for the Fraunhofer D and F bands as
$$\lambda_D = 2175 \text{ crazy units} = 589nm$$
$$\lambda_F = 1794 \text{ crazy units} = 486nm$$
So the conversion is:
$$1nm \approx 3.69\text{ crazy units}$$ $$1 \text{ crazy unit} \approx 0.270nm$$
But what is the motivation for this?