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
On page 52a, immediately preceding the calendar, are four day signs with
numbers. One of these, 12 Lamat, is the zero day of the day series, but
is associated with the middle line of day glyphs and not the upper line,
as might be expected. The series of days which come, calendrically
speaking, just before and after the actual series, may have been placed
in the record to show that slight variations from the average were to be
expected. The entire record is based on the middle line of days until
the end of the series. Here the day just below the last day of the
middle line is 12 Lamat, the end of 46 _tonalamatls_ (260-day cycle),
and the zero day of the recorded series. The _tonalamatl_ was probably
as easily used by the Mayas as “60 days” and “90 days” are used now. The
entire calendrical system of the Mayas is based on the cycle principle.
The series recorded in these pages was probably also a cycle, and in
order to repeat it, 12 Lamat must again be used as the zero date. If to
these arguments is added the fact that an additional day is necessary to
keep the calendar in accord with the synodic revolution of the moon,
there remains little doubt but that the users of this calendar added the
extra day by going from the middle to the lower line of day glyphs,
thereby keeping the error between the moon and the calendar as low as
possible, completing the 46th _tonalamatl_, and at the same time making
it possible to repeat the recorded series as a cycle. If the series is
repeated once, at the end of 810 months, or about 66-1/2 years, the
eclipse calendar will be behind the average eclipse season .78 days, and
the lunar calendar will be in advance of the synodical revolutions of
the moon only .22 days.
In general, then, the irregularities in the calendar recorded on these
pages fall into two groups, those which are clerical errors of the
scribe and do not therefore affect the solution advanced, and those
which do not appear to be of the clerical type. In the light of the
solution advanced, it has been shown that there are perfectly logical
reasons for the latter group of apparent irregularities.
CONCLUSION
On pages 51 to 58 of the Dresden Codex occurs a series of numbers,
running continuously through all the pages except the upper halves of
the first two. This series records a period of 11,960 days, divided by
means of columns into sixty-nine unequal subdivisions, of 177, 148, and
178 days, of which the first is the most frequent.
Public-domain text, read in full here on John Shaqi.
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