AE74=2×37IE110=2×5×11RE50=2×5×5
AE120=2×2×2×3×5IM302=2×151RMERGL198=2×3×3×11
BE88=2×2×2×11IO250=2×5×5×5SC132=2×2×3×11
CD132=2×2×3×11IX78=2×3×13SD262=2×131
CFI12=2×2×3LY158=2×79SI230=2×5×23
CH36=2×2×3×3JT150=2×3×5×5SI34=2×17
CO42=2×3×7LL367 No factorsSI264=2×2×2×3×11
CO126=2×3×3×7LQ164=2×2×41SI12=2×2×3
CU114=2×3×19LQX6=2×3SL78=2×3×13
DD186=2×3×31LU124=2×2×31SQ54=2×3×3×3
DD116=2×2×29LU110=2×5×11SV27=3×3×3
DE285=5×57LU234=2×3×3×13SV63=3×3×7
DL218=2×109LX66=2×3×11SV90=2×3×3×5
DN14=2×7LXB132=2×2×3×11TD47 No factors
DQ120=2×2×2×3×5LY158=2×79TD165=3×5×11
DU36=2×2×3×3ME22=2×11TD96=2×2×2×2×2×3
DU24=2×2×2×3MU24=2×2×2×3TN239 No factors
DU38=2×19MU240=2×2×2×2×3×5TS14=2×7
DU165=3×5×11MU18=2×3×3TS156=2×2×3×13
EA30=2×3×5ND47 No factorsTSI50=2×5×5
EB78=2×3×13NE48=2×2×2×2×3UBRE12=2×2×3
EC180=2×2×3×3×5NE18=2×3×3UD60=2×2×3×5
ECO126=2×3×3×7NE192=2×2×2×2×2×2×3UDA270=2×3×3×3×5
EES14=2×7OB6=2×3UL114=2×3×19
EF105=3×5×7OB234=2×3×3×13ULX198=2×3×3×11
EI8=2×2×2OE93=3×31UY89 No factors
EI152=2×2×2×19OI144=2×2×2×2×3×3UZ162=2×3×3×3×3
EQ88=2×2×2×11OO7 No factorsVI148=2×2×37
EQ264=2×2×2×3×11OY6=2×3VT33=3×11
EQ44=2×2×11OY46=2×23XQ114=2×3×19
EQE176=2×2×2×2×11OYMU6=2×3XQ 144=2×2×2×2×3×3
ER12=2×2×3PD75=3×5×5XU99=3×3×11
ES78=2×3×13QBL24=2×2×2×3YE184=2×2×2×23
ET135=3×3×5QC95=5×19YL106=2×53
ET9=3×3QE108=2×2×3×3×3YL 144=2×2×2×2×3×3
ET54=2×3×3×3QE68=2×2×17YM6=2×3
ET31 No factorsQR132=2×2×3×11YRO12=2×2×3
HE245=5×7×7QTO210=2×3×5×7ZE6=2×3
HOBE66=2×3×11QX198=2×3×3×11ZH183=3×61

Out of one hundred and one recurring pairs we have fifty with the factors 2×3=6; out of twelve recurring triplets, nine have these factors; and the four recurring groups of four or more letters all have these factors. The percentages are respectively 49.5%, 75% and 100% and we may be certain from this that six alphabets were used. But, before the six frequency tables are made up, there is one more point to be considered; why are there so many recurring groups which do not have six as a factor? The answer is that one or more of the alphabets is repeated in each cycle; that is, a key word of the form HAVANA has been used. If this were the key word, the second, fourth and sixth alphabets would be the same. We will see later that in this example the second and sixth alphabets are the same and this introduces the great number of recurring groups without the factor 6.

We will now proceed to make a frequency table for each alphabet. As the message is written in thirty columns, we take the first, seventh, thirteenth, etc., as constituting the first alphabet; the second, eighth, fourteenth, etc., as constituting the second alphabet and so on. The prefix and suffix letter is noted for each occurrence of each letter. The importance of this will be appreciated when the form of the frequency tables is examined. None bears any resemblance to the normal frequency table except that each is evidently a mixed up alphabet. The numbers after “Prefix” and “Suffix” refer to the alphabet to which these belong, for convenience in future reference.

Frequency Tables

FirstAlphabetSecond Alphabet
LetterPrefix (6)Suffix (2)LetterPrefix (1)Suffix (3)
A1113DUDESFA0
B111111118OOOFEEOSEOESYSCYB1113TQQALL
C0C11BC
D11114TYTDJUDD1111116DTPDXTLBCNVE
E11ESE11111111111 11ABNBNINRRYNEOATLATYQTF
F0F1113QIAIQF
G0G112RRLL
H0H11ZO
I111111118EOFFEOVSOSEFQYJI0
J0J11114ZLDIILCR
L11OJL11TL
M11FOM11VI
N11114FEDUEEEEN11PR
O11EOO11111117OIBQRMRAOEYYYY
P112GENDP11TY
Q11114UEOEOFBBQ111115XXITXOIRCR
R11111117EEEYYBBGSGOOEER0
S11DVS111111118REIATBVBLMLIQQDV
T111111118JUJMQYVFLDSBPQDTT11TN
U0U1113XDZCLL
V112UFMSV11SI
X1111116YQTQQAQUQDYQX0
Y11OEY11114BIXBLCTL
Z1113UUMJHUZ0
ThirdAlphabetFourthAlphabet
LetterPrefix (2)Suffix (4)LetterPrefix (3)Suffix (5)
A11114OEEBCEREA0
B11DGB0
C1111116JUDYQCPYNUMUC111115LRAQTHHDDL
D11SDD112QDLU
E1113EODSSTE111111118MQAYQALRJICHCQCC
F112FESSF0
G0G11114BOIYUCIH
H0H11YE
I1111116JMSFQVMGUXRXI0
J0J0
L1111111111111114DGLSJSUEGYBBUYRMCSPYXQXEUVXLL11LT
M11SEM111115LIYYCUUUUU
N112DTPXN1113TCVDZL
O11OGO0
P0P1113LCNDJU
Q11111117EQSFHSEETESCDTQ11LM
R11114NQQJCXEZR1113LAIMNM
S0S1111111119LEETQYFTFODHCEVCII
T11114EEEYNSCST11114QQVEOOIG
U0U11114ICLCPDLY
V112SDTNV11LU
X0X11111117LILRILNPZBUBL
Y1111116OPOOOEESHMMGY112LCDLJ
Z0Z11RH
FifthAlphabetSixthAlphabet
LetterPrefix (4)Suffix (6)LetterPrefix (5)Suffix (1)
A0A11BX
B112XXEAB112UURR
C11111117GDDSDSDOOFFOEVC0
D1111116SCPYNCUUEUUQTQD11114UNLUANSA
E112SHTPE111111111111113MHOIDPZZMBQUCRREOIQPNRIBQB
F0F11111117PCCJEOCNIIBMVT
G11UTG11UP
H1111116CCSDGZEOOYYSH0
I111115EGTSSEYOMVI0
J1113EPXUOPJ112UMTT
L1111116YDUCNXUDYQQUL0
M1113RQREJEM112UITZ
N11RDN0
O1113STTETFO1111111119HCJCHCVIGBLIBBIQYB
P112UXFEP0
Q11EEQ11114DDLLXTXX
R0R0
S0S112HTBI
T11LST1113OEDDDX
U111111111110MMGPXMMVMDJDGUMYEBBDU11111117JDDDLULZTVAQZN
V11SOV112CITI
X0X10I
Y11UFY111115IHLUHXDRRT
Z112XNEEZ0

We will now set down some of the determinations which can be made at once from these frequency tables. Clearly several mixed alphabets have been used. As was to be expected from the analysis of the recurring groups, we note that the frequency tables for alphabets 2 and 6 are of so nearly the same general form that certainly these two alphabets are one and the same. If a Spanish word has been used as a key word, this means that A is probably represented by a vowel in these two alphabets and probably equals A or O, because these two letters are such common finals in Spanish.

1st Alphabet. Probable vowels T, X; probable common consonants, B, I, N, R. We conclude this because of the frequency of occurrence of T and X and the variety of their prefixes and suffixes. On the other hand, B, I, N, and R have for prefixes and suffixes, in a majority of cases, E, F, O and S which are the probable vowels in the 2d and 6th alphabets.

2d and 6th Alphabets.—Probable vowels E, F, O, S; probable common consonants, D, J, Q, U, Y.

3d Alphabet.—Probable vowels C, I, L; probable common consonants A, Q, T, Y.

4th Alphabet.—Probable vowels, E, G, S, T; probable common consonants, C, M, N, P, U, X.