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Numbers like seven and 31 belonged to all of these systems, quinary, decimal, and vigesimal alike.

As the latter is due to finger-reckoning, so the use of the fingers and the toes produced a vigesimal scale.

Proceeding to higher numbers, it is interesting to note that they also proceed on the vigesimal system, although this has not heretofore been distinctly shown.

I am inclined to think with Dr. Förstemann that it was rather in consequence of the use of the vigesimal system in representing numbers.

A pure quinary or vigesimal number system is exceedingly rare; but quinary scales certainly do exist in which, as far as we possess the numerals, no trace of any other influence appears.