scale are:[336]

10. hamar.
20. hogei.
30. hogei eta hamar = 20 + 10.
40. berrogei = 2-20.
50. berrogei eta hamar = 2-20 + 10.
60. hirurogei = 3-20.
70. hirurogei eta hamar = 3-20 + 10.
80. laurogei = 4-20.
90. laurogei eta hamar = 4-20 + 10.
100. ehun.
1000. _milla_.

Besides these we find two or three numeral scales in Europe which contain
distinct traces of vigesimal counting, though the scales are, as a whole,
decidedly decimal. The Danish, one of the essentially Germanic languages,
contains the following numerals:

30. tredive = 3-10.
40. fyrretyve = 4-10.
50. halvtredsindstyve = half (of 20) from 3-20.
60. tresindstyve = 3-20.
70. halvfierdsindstyve = half from 4-20.
80. fiirsindstyve = 4-20.
90. halvfemsindstyve = half from 5-20.
100. hundrede.

Germanic number systems are, as a rule, pure decimal systems; and the
Danish exception is quite remarkable. We have, to be sure, such expressions
in English as _three score_, _four score_, etc., and the Swedish,
Icelandic, and other languages of this group have similar terms. Still,
these are not pure numerals, but auxiliary words rather, which belong to
the same category as _pair_, _dozen_, _dizaine_, etc., while the Danish
words just given are the ordinary numerals which form a part of the
every-day vocabulary of that language. The method by which this scale
expresses 50, 70, and 90 is especially noticeable. It will be met with
again, and further examples of its occurrence given.

In Albania there exists one single fragment of vigesimal numeration, which
is probably an accidental compound rather than the remnant of a former
vigesimal number system. With this single exception the Albanian scale is
of regular decimal formation. A few of the numerals are given for the sake
of comparison:[337]

30. tridgiete = 3-10.
40. dizet = 2-20.
50. pesedgiete = 5-10.
60. giastedgiete = 6-10, etc.

Among the almost countless dialects of Africa we find a comparatively small
number of vigesimal number systems. The powers of the negro tribes are not
strongly developed in counting, and wherever their numeral scales have been
taken down by explorers they have almost always been found to be decimal or
quinary-decimal. The small number I have been able to collect are here
given. They