the third score, 43.

The last mentioned system is that advanced by Father Beltran, and is the
only one formally mentioned by him. It has recently been carefully
analyzed by Prof. Leon de Rosny, who has shown that it is a consistent
vigesimal method.[40-1]

It might be asked, and the question is pertinent, and is left unanswered
by Prof. Leon de Rosny, why _hun tu kal_ means "one to the score," and
_hun tu can kal_ is translated, "one on the fourth score." This
important shade of meaning may be given, I think, by the possessive _u_
which originally belonged in the phrase, but suffered elision. Properly
it should be,

Hun tu u can kal.

This seems apparent from other numbers where it has not suffered
elision, but merely incorporation, as:--

Hun tu yox kal=hun tu u ox kal, 41.
Hu tu yokal=hun tu u ho kal, 81.

This system of numeration, advanced by Beltran, appears to have been
adopted by all of the later writers, who may have learned the Maya
largely from his Grammar. Thus, in the translation of the Gospel of St.
John, published by the Baptist Bible Translation Society, chap. II, v.
20; _Xupan uactuyoxkal hab utial u mental letile kulnaa_, "forty and six
years was this temple in building;"[41-1] and in that of the Gospel of
St. Luke, said to have been the work of Father Joaquin Ruz, the same
system is followed.[41-2]

Nevertheless, Beltran's method has been severely criticised by Don Juan
Pio Perez, who ranks among the ablest Yucatecan linguists of this
century. He has pronounced it artificial, not in accordance with either
the past or present use of the natives themselves, and built up out of
an effort to assimilate the Maya to the Latin numeral system.

I give his words in the original, from his unpublished essay on Maya
grammar.[42-1]

"Los Indios de Yucatan cuentan por veintenas, que llaman _kal_ y en
cierto modo tienen diez y nueve unidades hasta completar la primera
veintena que es _hunkal_ aunque en el curso de esta solo se encuentran
once numeros simples, pues los nombres de los restantes se forman de los
de la primera decena.

"Para contar de una a otra veintena los numeros fraccionarios o las diez
y nueve unidades, terminadas por la particula _tul_ o su sincopa
_tu_,[42-2] se juntan antepuestas a la veintena espresada; por exemplo,
_hunkal_, 20; _huntukal_, 21; _catukal_, 22; y _huntucakal_, 41;
_catucakal_, 42; _oxtucankal_, 83; _cantuhokal_, 140, etc.

"El Padre Fr. Beltran de Santa Rosa