A Possible Solution of the Number Series on Pages 51 to 58 of the Dresden CodexGuthe, Carl E. (Carl Eugen)
Science
A Possible Solution of the Number Series on Pages 51 to 58 of the Dresden Codex
Guthe, Carl E. (Carl Eugen)
Codex Dresdensis Maya
There is only one decided error in the day series. In column 11, 6 Cib,
7 Caban, 8 Eznab were written instead of 6 Cimi, 7 Manik, 8 Lamat. It
should be noticed that the number of the day was right. In fact just
one-half a tonalamatl, or 130 days, was dropped before the day series of
column 11, and added on again immediately afterwards. This is an
extremely curious error to make in calculating and may shed some light
on the way in which the Mayas reckoned.
The five remaining irregularities in the day series are of two kinds. In
column 5, the number preceding the third day, Chicchan, is 4 instead of
11. Apparently the writer of the manuscript forgot for the moment that
the day was added to the one above it and not the one to the left, and
wrote 4 because the number associated with the third day sign of column
4 was 3. The same mistake was made in the third day of column 36, except
that in this case it was the day sign and not the number which was
confused. Here, instead of writing Ahau, which followed the Cauac in
the second series, Ben was recorded because the sign to the left was Eb.
The other three irregularities are all due to carelessness in placing
sufficient dots in the number associated with the day sign, for in
columns 17, 47 and 49, 1 Ik, 10 Eznab and 11 Kan were recorded,
respectively, instead of the necessary 2 Ik, 11 Eznab and 12 Kan.
There are two places in which columns seem to be misplaced, although the
mathematics of the series at these points is correct as it stands. For
the sake of uniformity in the arrangement of the difference groups, the
178-day group of column 7 should occur in column 6, and for the same
reason, the 148-day group of column 58 should occur in column 59.
Professor Förstemann calls both of these variations errors, and arranges
his version of the table so that each part is just like the other two.
He gives no reason for his opinion other than the phrase “for the author
[of the manuscript] had confused the differences 178 and 148....”[4] Mr.
Bowditch, on the other hand, allows both of the variations to stand as
they appear in the manuscript, and quite rightly holds the opinion that,
“It may possibly be that these numbers thus placed are errors of the
scribe, but the mere plea for uniformity is not sufficient to lead us to
make these changes.”[5]
[4] Förstemann, 1901, p. 123.
[5] Bowditch, 1910, p. 217.
Public-domain text, read in full here on John Shaqi.
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