by which
to determine thenumber
of cyclesthey count tothe greatcj^cle.
What
systemwas
usedin theYucatan
inscriptions isnotposi- tivel}'known,
but, as isshown
below, theypi'olialily agreed witli theTroano and
Cortesian codices,(ioodmau
says he hasbeen unable to find a singleYucatec
inscribed date. After careful inqxiir,yand
examination of the casts of inscrip-tions in the chief eastern
museums and
all the photographs, drawings,and
figures inreach, without finding one, Ihave had my
attention calledby Mr
Saville, of theNew York Museum
of Natural History, to a photographby
Mahler,takenat Xca- lunikin, in Yucatan, which is repro-duced
inLe
Plongeou's "QxieenMoo,"
which, if I correctly interpretit,
may
bean
indication of the sys-tem
used in theYucatec
inscrip- tions. This isshown
in figure 1.57from
acopyofthephotograph kindly furnishedby
Mr. Saville.The day
(All)isevidently8Caban,the-ttliday, apparently, ofthe
month
Zotz,
though
themonth symbol
issomewliat
unusual
in form. If theday symbol
is properly intei-preted Caban, ofwhich
there can scarcely be adoubt, then, as the 4 dots over themonth symbol
are verydistinct, it is certain (whetherwe
can deter-mine
themonth
symbol or not) that the yearmust
begin with theday
Ix, hence the dominical days
must
beKan,
Muluc, Ix,and
Cauac.This is the calendar system of the
Troano and
Cortesian codicesand
alsoof thecodexfollowed
by
Landa.This result I
must
confess is con- trarytomy
expectationand
carriesback
theYucatec
calendar.system to the daysofthe inscriptions. It is true that a single inscribed date is a slender basis onwhich
to reach adecision, butwe must
accept it until other evidence on the point is forthcoming.Goodman
suggests that the Cocomes, Xius, Chels,and
Itzashad
each 1heirown
" chronological system, usingaFig. 1.57
catan.
liisiTiiitioiiat Xriiluiukin, Yn- FroinaphotographbyMahltT.
254 MAYAN CALENDAR SYSTEMS
[ETH.ANN.22ooiiiinon calendar."
On
what he bases this opinion,which
is equiva- lent to saying theyhad
ditfeientnumeral
systems, Iam
not aware.That
the system invogue
at Tikal (in the Itza region of the Petendistrict)
was
thesame
asthat ofthe insci-iptionsat Palenque, Copan,and
Qnirigna is wellknown.
Let us return to the exceptional series of the
Copan
insci-iptions mentioned above(westsideof Stela N).Although
it
was
discussed atsome
length inmy
previous paper, a reexamination has brought to lightsome
facts overlooked in the first examination,
which have
an important bearing on the question in- volved;and
the}'will be noticedhere. This series reversed is as follows: 14-1 7-1 0-1d-O-O to1Ahan
8Chen
(figure 158). Written out it is 14 great cycles, 17 cycles, Ifl katuns, 10 ahaus, chueus, days, to 1 ^Vhau 8 Chen.Changed
into days itgives the following result, counting "20 cycles to the great cycle
:
Days 14greatcycles. 40.320,000
17cycles 2,448,000
19katuns 136.800
10 ahaiis. 3,600
>• Total 42,908,400
Suhtract2,260calendarroiinds 42,894,800
Remainder 13,600
If
we
countback
thisnumber
of days from 1Ahau
8 Chen, year 3 Ben, it brings ns to 1-Ahau
13 Zotz, j'ear 5 Lamat, which will be the first
day
ofthe first, or
most
remote, of the 14 greatcj'cles,connting the series in this
manner upward from
the loth:1stgreatcycle
2ndgreatcycle, etc..to 14thgreatcycle (loth great cycle) 17cycles
19 katuns 10ahaiis
chuens days
If
we
countback from
thesame
date(1Ahau
8Chen)the 17 cycles,r.i katuns,
and
10 ahaus,we
reach the firstday
of the (incomplete) loth great cycle aswe have numbered them
above. Thisday
is 5Fill. lis. Part of in- scrii)ti(nionthe-west side of stela N, Co- pan. Maudslay.part
4.platei.xxi.x.
THOMAS]
NUMBER OF CYCLES
INGREAT CYCLE 255
Ahaii >! Cumhii, year '.) Ben. Ifwe
eoiintback
tlie great cycles oneby
one (coimtinj;- 20 cycles to a great cycle),we
shall find the initial datesto l)e us follows—
thenumbers
given the groatcycles being, of course, arbitrai'y:1st greatcycle 13Ahavi13Zotz,year oLamat 2ndgreatcycle 5Ahait 3Ceh. year4Ezaiiab 3rd greatcycle 11Ahaii 8Pop, year4Ben
4tligreatcycle 4
Ahau
18Mol, year3Akbal othgreat cycle 10Ahau 8Pas. year2Ben6thgreat cycle 3
Ahan
13Tzec. year2LamatTthgreatcycle 9
Ahau
3Mac. year 1 Ezanab 8th great cycle 2Ahau
8Uo. year1 Ben 9thgreatcycle .. 8Aha\i18Chen, year13 Akbal loth great cycle 1Ahau
8 Kayab,year12Ben11thgreatcycle 7
Ahau
13Xul, year13Lamat12thgreatcycle 13
Ahau
3Kankin. year 11Ezanab 13thgi-eatcycle 6Ahau
8Zip,year11 Ben 14thgreat cycle 12Ahau
18Yax.year10Akbal loth great cycle 5Ahau
8Cumhu.year9BenThis result
shows
our calculation to be correct, taking theday
of the inscription (1Ahan
8Chen)
as thatfrom which
to countback.As
there are 14 complete great cj'cles,which we
estimate at 20 cj'cles each,and
theminor
periods (17 cycles, 19 katuns,and
10 ahaus), the lattermust
fall in the 15tli great cycle,which
is incomplete. Count- ingback
theseminor
periods,we
reach, as has been stated, 5Ahau
SCumhu,
year 9Ben,asthefirstday
of this 15thgreatcycle. Countingback from
this latter date 20 cycles (or 1 great cycle)we
reach 12Ahau
ISYax,
j'ear 10 Akbal, the firstday
of the 14tli great cycle,and
so on to theinitialday
of the first, whichwe
find to be 12Ahau
13 Zotz, j'ear 5 Lamat, giving exactly the
same
resultas our calcula- tion of the wholeas one single series. Bj^ bothmethods
thefirst daj' of the entire series,and
hence the first great cycle asnumbered
above, is
found
to be 12Ahau
13 Zotz.But
this, though correct so faras calculation isconcerned, is notproof, as the resultsgivenmust
necessarily follow if thedate counted from is 1Ahau
8 Chen,and
20 cycles arecounted toa great cycle. Thisisunsatisfactory, as itfails to bi'iug in as thefirstday
of a great cycle 4Ahau
8Cumhu, which was
anormal
date at Copan.I
am
strongly inclined tobelievethattheterminal dateofthe series instead of 1Ahau
8 Chen, as given in the inscription, should be 13Ahau
8 Chen,which
falls in the j'ear 2 Ben. Ifwe
countback from
this date 17 cycles, 19katuns, 10ahaus, cliuens, days,it willbring us to 4
Ahau
8Cumhu,
year 8 Ben, as the firstday
of the 15th great cycle, aswe have
arbitrarilj'numbered them
above. Ifwe
countback
tileentireseries, 14-17-19-1O-0-0, from 13
Ahau
8Chen, year2 Ben, itbrings us to 11
Ahau
13 Zotz, year 4 Lamat, asthe firstday
of the 1st256 MAYAN
OALElSfDARSYSTEMS
[eth.axn.22 great cycle asnumbered
above.The
first da^sof the great cycleswould
then be asfollows:1st great cycle 11
Ahau
13Zotz, year4Larnat 3iidgreatcycle 4Ahau
3Ceh, year3EzanabSrrlgreat cycle 10
Ahau
8Pop, year3Ben 4th great cycle 3Ahau ISMol. year3Akbal5111greatcycle 9
Ahau
8Pax. year 1Beu6thgreat cycle 2 Ahau13 Tzec,year1 Lamat
Tthgreatcycle 8
Ahau
3Mac, year13Ezanab 8thgreatcycle 1Ahau
8Uo,year13Ben9thgreatcycle 7
Ahau
18Chen, year13Akbal 10thgreatcycle 13Ahau
8 Kayab,year11 Ben11th great cycle 6
Ahau
13 Xul,year11 Lamat13thgreat cycle 13
Ahau
3Kankin, year10Ezanab 13thgreat cycle 5Ahau
8Zip. year10Ben14thgreatcycle 11
Ahau
18Yax,year9Akbal 15thgreatcycle 4Ahau
8Cumhu, year8BenThe method
of unmberiiig the great cyclesmust
be understood as whollyarbitrary, given merelyfor convenience,and
to includethe 15 that are referredto in the count. Ido not believe that therewas any
consecutivenumbering
of these supposed time periods in the sense indicated bj'Goodman;
in fact, as I expect to show, they were not time periods inany
true sense ofthe term.The
reason for believing that the date following the inscription should be 13Ahau
8Chen
instead of 1 Aliau 8Chen
is tliat -tAhau
8Cumhu,
as appeal'sfrom
the inscriptions at Coj)anand
Quirigua,was
the favorite initial date,most
of the initial series goingback
to it,
and
that countingback
theminor
periods of the seriesfrom
13Ahau
8Chen
brings us to 4Ahau
8Cumhu.
Ifwe
turn toGoodman's
"Archaic ChronologicalCalendar" and
count forward,from
thebeginning of his 54th great cycle, 17 cycles, it will bring us tothe 4th cycle of his 55tli greatcycle,and
tothe 10thkatun
of tliiscycle
and
the 10thahau
of this katun,where we
find theday
to be 13Ahau
8 Chen.We
are therefore of the opinion that the terminalday
of the longseries should be 13Ahau
8 Chen,and
thatGoodman
is
wrong
inrejecting it.As
there are 17cycles,itproves, asitstands, that the authorsof the inscriptions counted 20 cycles to the great cycle,which
is consistent with their system of numeration. Ihave shown
inmy
previous paperwhy
1Ahau
8 Zip can not be tlie initial date of this series.As
bearingon the explanation of this series, the following facts in regard to the symbols are worthy of special notice. Itwill be seen bj'an
inspection ofthe seriesshown
in figure 158 that the gi-eatcyclesymbol
(glyph 5)is a face character verymuch
like that ofthe cycle, except that it has asuperfix, wliicli unfortunately is too nearly oblit- eratedto be traced.However,
it isnoticeable that inboth itand
the cyclesymbol
thehand
figure isacross the lower jaw. AccordingtoGoodman, "the hand
on the cheek, thethumb
or wrist foi'ming the_ THOMAS]