has designed a Linear A font:
"LA.ttf.hqx"
The fonts have been stored in binhex mode; after
you download them (ignore all warnings), they must be "unstuffed" (for a
free "Unstuffit" program; quit all
programs, install the fonts in your
Macintosh/Windows Harddrive/Systems/Fonts folder, and then restart your
word-processing
package.
Grids
for Linear A & B.
Grid
for Cretan Hieroglyphic.
For the Linear A and B grids, click here.
The phonetic transcriptions use Linear B values for Linear A signs
assumed to be the same (Louis Godart, "Du Lineaire A au Lineaire B,"
Aux origines de l'hellénisme: La Crète et la
Grèce. Hommage à Henri van Effenterre [Paris:
Publications de la Sorbonne, Histoire Ancienne et Médiévale
15, 1984], 121-128). Also see below, "Phonetic values of the
signs."
The transcribed texts are based on a transnumeration and phonetic
normalization finished 22 March 1994 by John G. Younger; Jean-Pierre
Olivier checked this document against GORILA (see below) vols. I-V
and a ms. of VI, and put in tabular form in January and February 1997.
Since then, there have been continual updates.
GORILA = Louis Godart and Jean-Pierre
Olivier, Recueil des inscriptions en
Linéaire A. Études Crétoises
21, vols. 1-5. (Paris: Librairie Orientaliste Paul Geuthner, 1976-1985,
now out of
print; but de Boccard [below] has copies).
- Volume 1: Tablettes éditées avant 1970
(EtCret 21:1; Paris: Librairie Orientaliste Paul Geuthner 1976) ISBN X16534
- Volume 2: Nodules, scellés et rondelles édités avant 1970 (EtCret 21:2; Paris: Librairie Orientaliste Paul Geuthner 1976) ISBN X16435
- Volume 3: Tablettes, nodules et rondelles édités en 1975 et 1976 (EtCret 21:3; Paris: Librairie Orientaliste Paul Geuthner 1976) ISBN X16436
- Volume 4: Autres documents (EtCret 21:4; Paris: Librairie Orientaliste Paul Geuthner 1982) ISBN X16437
- Volume 5: Addenda, corigenda, concordances, index et planches des signes (EtCret 21:4; Paris: Libraire Orientaliste Paul Geuthner, Paris 1985) ISBN X16433
- GORILA, NOW (Nov. 2002) available
from Diffusion
de Boccard for Euros 76 per
volume:
11 rue de Médicis
75006 Paris FRANCE
T: (33) 1-432-60037
F: (33) 1-435-48583
http://www.deboccard.com/anglais/Rub/cata.htm
Bibliographical
Abbreviation
- CMS = Corpus der minoischen und mykenischen Siegel
(Berlin: Gebr. Mann Verlag).
Epigraphical Conventions
SIGN[ = text broken off at left
]SIGN = text broken off at right
SIGN = the reading of SIGN is doubtful
(i.e., flanked by spaces) = word-divider
- or - or -- = unidentified sign
[[ SIGN ]] = erased but legible sign
<TEXT> = TEXT once extant, now lost
Types of Supports (the objects that receive
writing)
category = tablet
Wa = nodules/noduli
Wb = sealing
Wc = roundel
Za = stone vessel
Zb = pot
Zc = inked inscription
Zd = graffito
Ze = architecture
Zf = metal object
Zg = stone object
There are some 1427 documents with a total occurrence of 7147 signs
(contrast: Hieroglyphic: some 360 documents [including seals and the 23
unpublished documents from Petras] with fewer than a total occurrence of
1000 signs; Linear B: some 4600+ documents with over 72,000 signs).,
My Goals for Establishing This Website
I have three major goals for this website.
The first is to make available the results of GORILA to the wider public.
This website is not a substitute for GORILA since it "normalizes" and
phonetically transcribes GORILA's edited versions of the Linear A
documents.
My second goal is to work publicly on the Minoan administrative process,
how commodities were assessed, collected, and distributed.
My third goal is to tease, from an understanding of the administrative
process, the administrative vocabulary (e.g., the terms for "total" and
for "deficit") and its grammar and syntax.
I am NOT interested in producing a decipherment of Linear A -- please see
"Decipherments," below.
What Is Known about Linear A
Chronology
Hieroglyphic is probably the first script to appear; seals dating from
primarily MM I contexts (MM IA or IB) include CMS II.1 nos. 391,
393, and 394 from Archanes Phournoi. Hieroglyphic documents come from
four main deposits in Crete: Malia, Quartier Mu (MM II late); Petras (MM
IIB); Malia Palace (MM [IIB-]III); and the Knossos Hieroglyphic
Deposit
(an
assemblage of material from the end of the Long Corridor in the West Wing
and surrounding area. Since the sealstones that impressed the KN sealings
were all hard stone seals, the impressed sealings at least should date to
MM IIB-III. No Hieroglyphic document can be dated later than MM III.
Linear A documents appear soon after the first appearance of
Hieroglyphic writing, the earliest may be KN 49 from Knossos, South House,
MM IIA context (its inscription is a badly legible fraction; it could be
Hieroglyphic). From MM II contexts come ARKH Zf 9; and PH 6-19, 22,
24-28, 30 [Haghia Photini], Wb 33-36, Wc 37-41, 43, 44, 46, 52, 55, Wg 45,
and Wy 42. Another tablet from somewhere in the palace at Phaistos is
assigned to Hieroglyphic (CHIC #122).
The bulk of datable Linear A documents come from contexts dated MM III
(Kea, Knossos, Malia, Phaistos), to LM IA (Gournia?, Thera), and to LM IB
(Arkhanes, Haghia Triada, Kea, Khania, Petras, Pseira, Pyrgos, Zakros).
- Note: Hieroglyphic and Linear A
were
therefore being written more or less contemporaneously from MM II to MM
III at Knossos (MM II and III) and Malia (Palace, MM III), and possibly at
Phaistos (MM II).
A few Linear A inscriptions come from Final Palatial contexts. Three
occur on objects that probably were made earlier but were found in later
contexts: ARM sealstone, KH 94 and Wc 2117 & 2118 (all from fills), and MM
III pithos KN Zb 35 (LM II context). Three others, however, were probably
all written after the LM Ib destructions: the LM II pithoid jar KN Zb 40,
the inscribed block KN Ze 16 on the Kephala tholos (LM II?), and the
painted inscription on PO Zg 1, a terracotta statuette from Poros (LM III
A:1-2 by style and context). It is therefore possible that Linear A
survived the LM Ib destructions, though barely .
In the Neopalatial period, and probably as early as LM IA, Linear A
was developing in such a way as to produce Cypro-Minoan and, eventually,
Linear B. The earliest
Cypro-Minoan document, the "Grand" tablet from Enkomi comes from a 16th
century context. The
earliest
Linear B documents seem to be those from the Room of the Chariot Tablets
at Knossos (LM II or possibly LM III A1). This would be the time Palaima
1988 would assign for the creation of Linear B, when, on the Mainland,
major Mycenaean centers had major administrative buildings on their
heights, the larger tholoi were being constructed, and trade was
expanding. According to Palaima, Linear B was created probably at a single
moment, either "from above" (a directive) or "within the close confines of
palatially oreinted bureaucracies whch then sanctioned the invetnion and
continued to apply it to narrow record-keeping tasks." (1988: 341)
Some Hieroglyphic signs, not
Linear A signs, are the prototypes for Linear B signs (e.g., CHIC sign 40
for Linear B ro2 and 78 for Linear B du); it is
possible that Linear B was developing earlier than LM/LH II and
incorporating more than one source.
Other linear scripts may have similarly developed from
Linear A farther east: see the inscription from Lachish (Finkelberg 1996).
Decipherment
My own aim in producing these webfiles has NOT been to decipher Linear
A.
There are, however, two approaches that I don't believe
work: the "acrophonic" principle, and
using vocabulary to identify a
language.
The acrophonic
process
Decipherments based on reading the signs
as
pictograms,
then
identifying what the object is termed in some language, and then
identifying the
phonetic value of the sign as the initial sound
or
first phoneme (the acrophonic
principle) -- this process does not seem to
work for Linear A for two
major reasons.
- 1, the identifying term
for the "pictogram"
cannot be proved in advance of deciphering the
script.
- 2, it can be demonstrated that, for several signs, the
acrophonic
princple did not operate.
Hieroglyphic *012
, a
bull-head, becomes Linear AB 23
MU and Hiero
*060
, a
cat face, Linear AB 80
MA. My guess is that the
phonetic value of these signs
reflect the sound the animal makes, "moo"
and "miaow" (in English). And
there are other examples where the
sound of the object
seemingly relates to
its phonetic value
(e.g., Hiero *057
, a
key sistrum, becomes AB 67
KI [the
clinking sound of a metal
rattle]).
Using vocabulary to identify a language
See my critique of the "decipherment" by Hubert La
Marle.
For
me, vocabulary does not necessarily identify a language
(English, for
instance, has a large German, French and Classical Greek and
Latin
vocabulary); grammar seems to identify a specific language more
securely.
Thus, I am not
immediately swayed by
the process of
identifying words in another language as Linear A words
(e.g., KU-NI-SU
in Linear A as the Semitic term for emmer wheat) -- this
is not to say
that I
don't find such correspondences impressive and interesting.
Compare
Nakassis and Pluta 2003:
335: "A number of scholars have
attempted to decipher Linear A,
identifying it with known languages such
as Semitic, Luwian, and even
Greek. These studies begin by attempting to
etymologize a small number of
individual words, largely ignoring overall
context."
My own method has been strictly internal, to examine the
texts as
accounting documents, and to identify transaction terms and
patterns
in vocabulary, paying special attention to vocabulary
variations
especially in prefixes and suffixes, in order to tease out a
grammar.
Whatever language Linear A turns
out to be (Semitic, Indo-Hittite, Greek,
or Martian), will be fine with
me; I have no set predisposition.
Language
Linear A has
not yet been demonstrably linked to any known language family.
"The languages which have been used for comparison are of two
families:
Indo-European, especially an Anatolian language such as Luwian
(Palmer,
Meriggi [and Ed Brown of UNC-CH]); Semitic (Gordon, Best, and
others)...
First no inflexional forms such as characterize Indo-European
or Semitic
languages can be clearly demonstrated, hence the
identifications depend
largely on vocabulary, which is notoriously easily
borrowed. Secondly,
the Semitic comparisons are mainly with
triconsonantal roots -- yet if the
vowels are ignored we are leaving out
half the information presented by
the script, and thus much decreasing the
chances of success. Thirdly, if
the languge of Linear A does not belong
to a well-known family, then the
chances of identifiying it are virtually
nil. This is not to say that
Linear A remains undecipherable; as more
documents are found and
published, we shall understand more of it. But I
doubt very much if
speculation at this stage can help; I feel strongly
that is likely to
belong to an unfamiliar type." (Chadwick 1975:
147)
Since Crete appears to have been deliberately colonized in
developed
Neolithic, probably from SW Anatolia, it would seem logical to
assume that
the Minoan language was related to one of the Indo-Hittite
dialects, most
probably Luvian.
It is possible to direct our search
for the Minoan language more
concretely: the few recognizable verbs (see
below) seem to use -SI
and -TI (vel sim.) as alternating
forms, perhaps as singular and
plural respectively.
Phonetic
values of the signs (Godart 1984, amplifying Olivier's previous
list)
certain: DA, I, JA, KI, PA, PI, RO, RI, SE, SU, TA, O
possible: TE, A, KO, RA
possible recent
identifications:
*56=PA3 (see SMID 1981,
p. 61)
*65=JU (see SMID 1981, p.
61)
*304 = KA; *306 = A; *318 = DI
compare
| HT
Wc 3017 | HT
94 |
| *304+PA | a.1: KA-PA |
| DI-*306 | a.4:
*318-*306 |
| QA-KU-RE | b.2:
KE-KI-RU |
| *304 = KA | |
| JA-*304[ (PH
14a) | cf.
A-SI-JA-KA (HT
28a.1,
28b.1-2) |
| ]*304+PA-DA-*047-KU[ | |
| *304+PA (lots) | KA-PA (HT 6a.1;
HT 8b.4;
HT
94a.1; HT 102.1; HT 140.5) |
| *304+PA+*316+D3 (HT Wa
<1021bis>) | |
| *304+PA-KU-PA (HT We
1020a) | |
| *306 = A | |
| ]*306-JA-PI (ARKH
3b.1) | WA-JA-PI-[ ]
(HT
9b.1) |
| ]*306-KI-TA2 (HT
122b.2) | A-*301-KI-TA-A (TY
Zb
4) |
| ]*306-QE-DU[ (KH
21.3) | |
| ]-*306-TI-KA-A-RE[ (HT 4.1) | A-TI-KA (ZA
Wc.a1-2) |
| *306-TU-JA (HT
115b.3) | cf.
JA-TO-JA[ (ZA
4a.2-3) |
*314
= PU2
Valério independently; Owens
1999 & Facchetti
1999
identify the value as BU; so
as not to start a
new consonant "row," I conform the sign to
PU2
*348 (hapax legomenon) = SI
compare *348 CYP
KL2
with
SI CYP
KL2 (KH 11.3-4, 6 respectively)
*363 (and
*364?) =
SO
so Valério; I concur (the sign derives
from Hiero
*043, from which B12
so
derives);
see Hiero #039 and parallel
LinA tablet HT 9.
Arrangement of the tablets and
texts
Most administrative documents consist of short lists
written left
to
right (there are few examples of sinistroverse or
boustrophedon writing),
the signgroups separated by a dot or short
stroke. The longest texts are
HT 93a & b, HT 117a & b.
Many
lists are preceded by a short heading of no more than 2 words
(3
words
on HT 96a, HT 117a), followed by a single sign (AB 04, AB 28, A 307
=? AB
39), which may be a transaction abbreviation. There may be
subheadings to
sections of the document (HT 93a.3-4 and 4-5; HT 120.3-4;
KH 7a.3; HT
27a.4-5). PH 6 is unusual in that it presents 5 signgroups over
4 lines
with ideograms or fractions.
Longer, non-transaction,
prose-like statements are rare (cf. PH 6); most of these
constitute the
presumed religious
inscriptions, ZA Zb
3 (5 signgroups, 1 logogram), and the hairpins (ARKH Zf 9; CR(?) Zf 1; KN
Zf 31; PL Zf 1).
Commodities are almost always listed either
by ideograms or by
sign-groups; only once do the two appear together (HT
88), "as constantly happens in Linear B"
(Hooker 1975)
Most
words seem to be names (person- , place-) (Hooker 1975)
"A
number of Linear A sign-groups recur in Linear B, often with
different
endings" (Hooker 1975)
A noticeable characteristic about
Linear A is its compression:
short (usually 1 word) statements followed
by a logogram followed by
numbers. Often the logogram is a ligature (a
further abbreviation); there
are 137 (Linear B has only 56; Hieroglyphic
has none). A few ligatures are
common to Linear A and B: AB 54+81 =
TELA+KU, and AB 54+A312 =? TELA+ZO?.
The administrative
documents with logograms seem chiefly to
concern agricultural products
(AB 30 NI figs, AB 120 GRA grain/wheat,
AB 122 OLIV olives, AB 131 VIN
wine, A 302 = B *130 OLE olive oil), sometimes persons A 100/102 =
B *100
VIR man [might A 352
be the
equivalent of
B *102 MUL woman?]), and even less frequently livestock
(AB 21 OVIS
sheep, AB 22 CAP goats, AB 23 BOS cattle, AB
85 SUS pigs),
cloth (A 54 [occurring as a logogram 5 times] =? B *159),
and vessels (A
400VAS-A 418VAS). Other ideograms are rare (A
308-A 371), most occurring
only 1 or 2 times. Linear A does not have
logograms for arms and armor
(except AB 191 GAL helmet), spices (AB 123 =
*123 AROM is only a phoneme
in A [Hiero *157
occurs on seals #291 and CMS
II 3.23 as a logogram]), or metals (unless A
327 [
; HT 97a, HT 119] = B *140 AES
bronze/copper).
See the section on logograms, above.
Vocabulary
Transaction
Terms
Other Words
TA-JA =? "five" (Olivier
1992)
DA-U-*49 =? Linear B da-wo, Ayia Triada (Palaima
1994)
DI-KA-TE =? Mt Ioukhtas (Owens 1993), Mt
Dikte
DU-PU2-RE = lord/master (of a place, e.g., Dikte;
Valério 2007)
KI-KI-NA (HT 88.2) = "figs" (fresh or dried,
green or black)
KU-NI-SU = likely a place-name (not "grain";
Hooker
1975); Knossos??
PU-KO = "bronze"?; see the commentary to
HT 31
Ideograms/Logograms
Linear A
Ideograms: a folder giving the common,
identified ideograms and their
signs, and copies of GORILA's sign charts
and palaeographic sign charts
*21 (QI)/OVIS = probably sheep
(Palmer 1995)
*22/CAP (B *107) = probably goats (Palmer 1995;
Duhoux 1984: 61
n. 38 suggests a phonetic value of MI?)
*23
(MU)/BOS = probably cattle (Palmer 1995)
*30 (NI)/FIC = figs
(Palmer 1995)
HT 88.2 presents the only occasion when the word
for a
logogram is spelled out (the word appearing after the
logogram):
FIC KI-KI-NA 7. This is odd, since NI may be the
acrophonic symbol for "nikuleon," an old word (Minoan?) attested by
Hesychius for "figs" (G. Neumann, "Nikuleon," Glotta 40 (1962)
51-54). Perhaps KI-KI-NA distinguishes fresh from dried or green from
black figs, meaning one
or the other, depending upon which would be
otherwise automatically
assumed.
*54 (WA)/TELA = cloth
(ligatured, as in Linear B: 
*54+81 TELA+KU,

*54+A312, TELA+?
[Bennett 1975: 61, & Melena 1975:
108-10 both give TELA+ZO?; Younger
{in 2005} identifies
A312
also as KU])
*85 (AU)/SUS = pigs (Palmer 1995)
*100/VIR
= man (Palmer 1995)
*102/MUL = woman
*120/GRA = barley
(Palmer 1995)
*122/OLIV = olives (Palmer 1995)
*123/AROM;
on Linear A clay documents this sign is a phoneme of
unknown value; on
Hieroglyphic seals, it is a commodity
*131/VIN = wine (Palmer
1995)
*191/GAL = helmet (Palaima 1988: 325)
*302 = olive
oil (Palmer 1995)
*303 = grain (Palmer 1995), CYP ?
*327 =
B *140 AES? (Palaima 1988: 326), on HT 97a.1-2, HT 119.1
*400-418
= vessels
*559 = wool. Younger 2005 demonstrated that Hiero sign
*084
, which resembles an animal (sheep?) head,
corresponds
to 3 subunits of *051
, which looks
like a small
dagger. Linear A *312
also looks
like a small
dagger and appears as an adjunct to Linear A *54
TELA (HT 38.3: TELA+*312; cf. TELA+KU on HT 38.3
(same line); and KU-TA[
on HT 115b.4 with *312+TA on HT 10b.2). In Linear
A there is no separate
logogram for LANA, but there is the ligature *559
, *80+*26 
, that appears on a few
documents (HT 12.4-5, HT
24a.1-5, KH 43.1, PH 3a.3; cf. the word MA-RU on
HT 117a.3 and
]MA-RU-A
on TY Zg 1; MA-RU does not seem to appear
in Hieroglyphic). Linear B LANA
*145
further pictorializes the Linear A ligature, perhaps
being influenced by
the pictorial Hieroglyphic sign *084
. The
classical Greek
word "mallós" may thus
be a loan-word from Linear A (and
Hieroglyphic?).
Grammar
For various grammatical
charts supporting the points below, click here.
Of the basic texts, the Libation Formula (summarized in the next
section below) presents a somewhat clear dedicatory statement in a more or
less strict word order in which it is possible to detect placenames (word
2: e.g., Setoia, Ida, Didkte), a single personal name (word 3: always
different), and several other words, including JA-SA-SA-RA (word 4),
U-NA-RU-KA-NA-SI (word 5), and word 6, I-PI-NA-MA.
Document PK 11,
however, presents three changes in the Libation Formula: instead of a
single word in position 3 (the personal name), it gives two, apparently
the names of two dedicants. This causes two further changes: word 5
changes from U-NA-RU-KA-NA-SI to U-NA-RU-KA-NA-TI (probably therefore a
plural verb), and word 5 changes from I-PI-NA-MA to I-PI-NA-MI-NE,
possibly plural also (if a noun, then something like
"dedications").
These observations allow us to postulate more
verbs (chart 3), especially those that appear
in headings on documents and on sealings (as receipts). It is also
possible to identify two transaction verbs, KI-RI-SI/KI-RI-TA2, and
U-MI-NA-SI.
A few placenames (word 2 in the Libation Formula, and
in headings of documents) can be identified (with more or less
plausibility) with actual places:
DI-KI-TE (several occurrences) -
Dikte (east Crete)
I-DA (several occurrences) - Ida
I-TI-NI-SA (ZA
15a.3) - Itanos (north of Palaikastro)
KU-NI-SU (several occurrences)
- Knossos?
PA-I-TO (several occurrences) - Phaistos
SA-RO (vel
sim.) - Zaros (north of Phaistos)
SE-TO-I-JA (PR Za 1.b) - Archanes?
Ioukhtas?
SU-KI-RI-TA (PH Wa 32) - Sybrita (in the Amari
valley)
TU-RI-SA (KO Za 1b-c) - Tylissos
From
SU-KI-RI-TA, there derives a clear adjective: SU-KI-RI-TE-I-JA (HT Zb
158b), appearing on a pot that it probably describes as being "Sybritan"
(cf. the similar adjective WA [for wa-na-ka-te-ro] and names in the
genitive on stirrup jars inscribed in Linear B).
From this
clear example, we thus can identify several others ((chart 4), including
]PU2-RE-JA (PK Za 16)
from ]PU2-RA2 (ZA a.6)
KU-PA3-RI-JA (HT 24a.1) from KU-PA-RI (PE
1.1-2)
PA-SA-RI-JA (HT 24A.4)) related to PA-SE-JA (HT
93a.8)
Prefixes ((chart 5). A few words appear also with J- or I-
prefixes (e.g., A-SA-SA-RA, JA-SA-SA-RA; DA-MA-TE, I-DA-MA-TE). Duhoux
1997 has identified these prefixes as meaning "to/at". A similar prefix
should be A-, possibly meaning "from."
A-DI-KI-TE, "from" a
hypothetical *DI-KI-TE
A-TU-RI-SI-TI (KN Zb 5), "from" TU-RI-SA (KO Za
1)
I-DA-MA-TE, "to" DA-MA-TE
I-ZU-RI-NI-TA related to
A-RI-NI-TA
I-PA-SA-JA, "to" PA-SA-JA
JA-DI-KI-TE, "to"
DI-KI-TE
JA-SA-SA-RA, "to" A-SA-SA-RA
There are, however, many
more, common suffixes (charts 5 & 6), though
their meaning is still obscure.
Suffixes (chart 7). While
identifying DU-PU2-RE as "master, lord", Valério 2007 noted its
occurrence with A-DI-KI-TE: A-DI-KI-TE-TE-DU-PU2-RE. This suggests that
-TE means "of/from." A variant could be -TI.
A-TU-RI-SI-TI (KN Zb
5), "from" TU-RI-SA (KO Za 1)
DA-KU-SE-NE-TI (HT 104.1-2), "from"
DA-KU-SE-NE (HT 103.4; Hooker 1975)
I-DU-TI HT 104.2-3, "from" a
hypothetical *I-DU (Ida?)
PA-DA-SU-TI (HT 104.3-4), "from" a
hypothetical *PA-DA-SU (Hooker 1975)
There are, however, many
more, common prefixes (chart 7), though their
meaning is still obscure.
The
Libation Formula appears in
part on various inscribed
objects;the words, however, follow a strict sequence, which most
inscribed objects
adhere to but may leave out certain words (especially
the three last
ones) or may substitute variations (especially on the first
word); the third word is
always different from object to
object.
| word 1 | word
2 | word 3 | word
4 | word 5 | word
6 | word 7 | word 8 |
| T/A-TA-I-301-etc. | toponymn | person's
name?
| J/A-SA-SA-RA |
U-NA-KA-NA-SI |
I-PI-NA-MA |
SI-RU-TE |
I-NA-JA-PA-QA |
From this sequence, I
deduce
if J/A-SA-SA-RA is a divinity, as often assumed, T/A-TA-I-301
(etc.),
which has many variations, may be an invocation
word 2 is
apparently a place-name: DI-KI-TE [perhaps a
Dikte],
I-DA [perhaps an
Ida], SE-TO-I-JA [Owens: Arkhanes], TU-RI-SA [JGY: Tylissos?],
JA-TI
word 3, always different, should be the name of the dedicant (on
PK
Za
11, there are two "dedicants" PI-TE-RI and A-KO-A-NE; word 5 thus
changes from U-NA-RU-KA-NA-SI [always with a single word 3] to
U-NA-RU-KA-NA-TI as if to imply the shift to the plural; cf.
A-KA-NU-ZA-TI in KN Zc 7, with 2 names in 2nd place)
word 5 should
then be
a verb ("dedicates," vel sim.))
word 6 varies only once, again
on PK Za 11: I-PI-NA-MI-NA -- since
there seem to be 2 dedicants, perhaps
the
change here in some way refers to the plurality of the dedicants
(plural
form of the dedication?)
word 7: the -TE ending is probably
the same as the ending -TE that
means "of/from"
word 8: the -QA
ending on the last word looks like an enclitic, perhaps related to
-te/que, "and"
If the above inferences are correct, the Libation
Formula would then
translate to something like this:
Oh!, at
Place, PersonName to Asasara dedicates a dedication of/from SI-RU and
I-NA-JA-PA
Balance Ledger
Tablets
Balance Ledger tablets are transaction documents that
record what appear
to be contributions and disbursements (somewhat like
"income" and
"expenses"). They can be recognized by the fact that they
present two
lists of mostly the same names. Original assessments can be
deduced by
totaling the contribution and the disbursement.
Here
are two examples, HT 28 and HT 114.
HT 28
Since
sides a & b carry most of the same names, it is likely that this
tablet is
in the form of a "Balance Ledger", with side a recording
contributions and
side b recording debits -- if so, then b.1: U-MI-NA-SI
probably means
"owes" (vel. sim.; cf. HT 117a.1-2: MA-KA-RI-TE KI-RO
U-MI-NA-SI. KI-RI-SI
[TY 3b.1] & KI-RI-TA2 [HT 114a.1] seem to
be verbal variations
on KI-RO, "debit"
[vel. sim.]).
| name | a:
contribution | b:
U-MI-NA-SI | assessment |
| A-SI-JA-KA | GRA+QE
5 |
| 5 |
| JA-QIf | OLE+U OLE+KI
2 OLE+MI
L2 OLE+TU
1 | | 2 |
| | VINa
6 | | 6 |
| SA-RA2 | OLE+DI
1 | OLE+DI
5 | 6 |
| | NI
2 | NI 2 | 4 |
| | VINa
3 | VINa
4 | 7 |
| | | GRA
20 | 20 |
| | VIR+KA
VINa
6 | | 6 |
| A-RU-DA-RA | GRA
5 | | 5 |
| | *304
2 | | 2 |
| | OLE+DI
3 | | 3 |
| I-TA-JA | OLE+DI
10 | | 10
| PU-RA2 | | NI
6 | 6 |
| WI-DI-NA | | OLE+DI
3 | 3 |
| | | VINa 3
E | 3
E |
Another arrangement, by commodity, reveals
the proportion of rations:
| commodity | name | contribution | U-MI-NA-SI | total |
| VINa | VIR+KA SA-RA2 WI-DI-NA JA-QIf | 6 3 | 4 3
E 6 | 22
E |
| OLE+DI | SA-RA2 A-RU-DA-RA I-TA-JA WI-DI-NA | 1 3 10 | 5 3 | 22 |
| GRA | A-SI-JA-KA A-RU-DA-RA SA-RA2 | 5 5 | 20 | 30 |
| NI | SA-RA2 PU-RA2 | 2 | 2 6 | 10 |
| OLE+? | JA-QIf | 3
J
L2 | | J
L2 |
| *304 | A-RU-DA-RA | 2 | | 2 |
The
rations seem to be as follows:
VINa+OLE = 44E
GRA+NI+OLE?+*304 =
45 J L2
or: VINa+OLE =? GRA+whatever
HT 114 can
also be rearranged as a Balance Ledger -- here,
KI-RI-TA2 is a
likely variant on KI-RO (cf. KI-RI-SI on TY
3b.1), perhaps a 3rd plural of
a verbal form. If so, then side a lists
what is owed, and side b lists
what has been contributed (SA)
| name | a:
KI-RI-TA2 (owed) | b:
SA
(paid?) | assessment |
| SA-RA2 | a: GRA
10 | | 10 |
| | a: VINa
1 | b:
SA (paid?) VINa 9 | 10 |
| | a:
OLE
7 NI
1 BOSm
3 | | 11 |
Again, the
rations appear to be similar in proportion to those in HT 28:
GRA =
10, VINa = 10, OLE+NI+BOSm = 11
or:
VINa:GRA:OLE+BOSm = 1:1
Fractions (and what used to be called
fractions [D, DD, see below])
(see
Hallager 1996: 29; Pope
1960)
Bennett 1999 notes the "aliquot" system of Linear A fractions
(i.e.,
1/2, 1/3, 1/4, 1/5, etc.); that Egyptian Hieroglyphic 1/2 and 1/4
are the
same in Hieratic, but the rest of the fractions differ in the two
scripts;
that Egyptian fractions are also aliquot with six signs for 1/2,
1/4,
1/8, 1/16, 1/32, 1/64 plus a monogram of 1/2+1/4 for 3/4 (the values
of Linear A's
fractions seem to be almost identical); and that Egyptian
Hieroglyphic
1/2 is very like Linear A 'J', and 1/4 is roughly like
Linear A E.
Fractions in combination, in probable order of
descending value
| JJ (PH
9b) |
| J | A (HT 120.3)
|
| J | E (lots; EJ [HT
123a.3-4; ZA
8.4]) |
| J | E | B
(HT 27a.8) |
| J | | B (HT
129.1; KH
5.4, 6.8, 17.3) |
| J | | | F (HT 51b.2)
|
| J | | | | | K (HT 32.1) |
| J | | | | H (HT 93a.3)
|
| J | E | | | | | L2 (KH 7a.5, 56.1)
|
| J | | | | | | L2 (HT 123b.4) |
| EE (PH 12b.2, 13a, 13c)
|
| E | B (KH
9.2) |
| E | | F (HT 8b.4, 16.3,
40a.4, 123b.5, Zd 156)
|
| E | | | | | L2 (HT 33.3)
|
| E | | | | | L4 (KH 26.2) |
| E | | | | | L6 (KH 76.2) |
| E | | | | | YYY (PH 26)
|
| A | BB
(KH 86.2) |
| | BB (KE
Wc 2b) |
| | | F | | K (PH 1b.2)
|
| | | F | | | L (ZA 7b.8) |
| | | | H | K (HT 34.3)
|
| | | | | K | L2 (HT 86a.2, 120.2; KH 11.2.3-4, 4.6,
16.1, 75.2) |
| | | | | | L2L4 (HT 33.2)
|
| | | | | | L3L3 (HT 15.2)
|
Fractions as singletons
W (KH 12.3,
12.4, 21.1, 60.2, 61.4, 77)
X (HT 91.1, 123a; KH 9.6)Y (PH
9a)
Fractions with known or surmisable
values
Since 

ABB occurs (KH 86), is
seems logical that A is
greater
than BB; if B is 1/3, A may be 5/6
B (1/3?). B occurs singly, once as a pair
(KE Wc
2b), once as a pair after A (1/6; KH 86.2), once after E (1/4).
Since EB
occurs (KH 9.2), it would seem logical that B is less
than 1/4 (E is 1/4;
see below); but on KH 9.2, EB occurs after K (1/16?),
and it is therefore
tempting to read this set
of fractions retrograde (BEK); if so, then a
descending sequence could be
maintained (1/3, 1/4, 1/16). B occurs
singly and in pairs (ZA
8.2-3, 6, ZAa.2).
D (A703) =? 1/5 (suggested by Dr Dieter
Rumple; also see Double Mina, below). HT 115a.4 writes D four times, which
suggests that five D's might
= a unit. Three texts list various fractions plus single or multiple
occurences of D that total or approximate whole units: the numbers and
fractions on HT 115 a+b total 12;
on ZA 8 total an approximate 13 (actually 12 59/60); and on KH 85 total
61/80 or a little more than 3/4 (60/80).
E (A704) = 1/4 (Pope 1960) occurs 52
times, the 2nd most common
fraction (Hallager 1995); see HT 9.a
F (A705) = 1/8 (Pope 1960); HT 8; see
HT 93
H (A706) = 1/16 (by shape related to
1/4, 1/8, perhaps 3/8 since K can be demonstrated to be 1/16; or if it
must be an aliquot fraction, 1/10, 1/12, 1/14): HT 6; HT
100; prob. HT 94
J (A 707) = 1/2 (Pope 1960), occurs
93 times, the most common
fraction (Hallager 1995); see PE 1, ZA 4a.4, HT 9.b, HT 104
JE
(A732; A707+A704; Brice 1961: 7-8, table 2) = 3/4, occurs 25 times, 3rd
most common fraction (Hallager 1995)
K (A708) = 1/16 (Pope 1960)
W (A710) =?? 2/3 (KH 12)
Summmary
For most of the fractions (A, B, D, E, F, J, K, W), we can identify with more or less certainty the following values:
The horizontal lines at bottom point out "family" resemblances between
signs with related values: 1/2 series (1/4 being inverted 1/2; 1/8 being a
"crossed"
1/4; 3/4 being a monogram [as Bennett noted] of 1/2+1/4;
perhaps 1/5, 1/10, and 1/16 are related formally); 1/3 series (1/6 being
a
double "crossed" 1/3;
2/3 being two 1/3's).
Fractions with values still unknown
L2 (A7092) =?
1/2 (HT 28a.2-3; see rearrangement of the tablet
as a "Balance Ledger", above). Subfractions of
L occur (
L2,
L4,
L6) and these occur in combination
with other fractions: 
EL2 (KH 9.5, KH 13.3),

KL2
(KH
11.2, KH 16.1), 
EL4 (KH 26.2, KH 75.2), and

BL6
(KH 7a.6) and 
EL6 (KH 76.1). The set may be special
to Khania.
X (A711), occurs on HT 91.1, 123a.2, 4, 5;
and KH 9.6 -- the occurrences do not suggest a value. Formally, the sign
looks related to
709
W
"2/3"; it may represent a doubling of that ("4/3" or "1 1/3"), or a double
701 A "1/6", perhaps "1/12" rather than 2 *
1/6
= "1/3."
Y (A712), occurs only at PH (PH 9a, 26).
Formally, the sign might be
related to the 1/2 series.
Ω (A713), occurs only once at
MA (MA 10b.1), as an adjunct to
A405VAS. The sign is identical to Hiero *304 Λ
, which
can
be demonstrated to be 1/2.
DD = double mina?
DD is the Double Mina
(
D = single mina? [see fractions, above]. The
following
argument is presented in
detail in my article
"Cretan Hieroglyphhic Wool Units (LANA, double
mina)," Younger 2005)
1. Side b of Hieroglyphic document CHIC #089.b reads:

/ 

034-041/*163 084 / 051-051-051 041/*163
"TA+CLOTH LANA = 3 double minas CLOTH"
2. Hiero sign
041 is probably the
predecessor to AB 54
WA and ideogram
A *54 and B
*159 TELA, cloth. 3. Hieroglyphic sign
034, if rotated
clockwise 90 degrees (a situation
that happens frequently when Hiero signs evolve into Linear A signs), is
probably the predecessor of AB
59 TA.
4. In Linear B, te modifies TELA, and the word that it
abbreviates is
te-pa, a type of cloth whose name is apparently
non-Greek and
possibly
therefore Minoan. 5. In Linear A, TE-PA
does
not occur, but the heading for HT 104 is
TA-PA *505; TA-PA. If this has
anything to do with cloth, and if it is the
Minoan equivalent for
Mycenaean te-pa, then Hiero TA+TELA might
stand for
TA-PA
CLOTH.6. In the second half of the line, Hiero sign
051 (a dagger?) occurs
rarely in Hieroglyphic, but at
least twice it is a logogram.
#039.b2: 

*
057-023-051 120
#090.a-b: 

016-038-007-051
70007. On Hiero document #089, the triplication of 051 seems to mimic
numbers.
8. Compare the three Linear A appearances of TELA:
| HT 38.3 | TELA+KU (*535)
2 |
| HT 38.3 | TELA+*312 (*536)
1 |
| HT Wc 3019 | TELA3
3
E |
9. Logogram
*312 resembles a dagger, and
thus is probably the Linear A
version of Hiero
051. 10. TELA+KU might transcribe TELA+#312; sign
*312 appears as a
syllabogram only as *312-TA (HT 10b.2), *312-TE-TE (HT 26a.1), and
*312-TA2 (ZA 6b.2-3) - these may be spelling variants: compare KU-TA[ (HT
115b.4), I-KU-TA (HT 35.1-2), JA-NA-KI-TE-TE- (PK Za 8.a), and
A-DI-KI-TE-TE- (PK Za 11.a-b). It is thus likely that the consonantal
value for Linear A
*312 is Kv, possibly KU.
11. On the roundel HT Wc 3019 (which contains the third occurrence
of
TELA), the number 3 comes from the three seal impressions of CMS
II.6 no. 33. Since the fraction E can be demonstrated to be 1/4, the
number 3 E probably means 3 and 1/4.12. In both
Hieroglyphic
document #089.b and on two Linear A documents
HT 38 and HT Wc 3019, TELA
apparently comes in three (sub)units
(Hieroglyphic sign 051, Linear A
*312/KU). In Linear B, the standard unit
of weight for wool is represented
by the special sign *145 LANA
("wool") consisting of three double-minas (M), each of which
weighs ca. 946 gr; the wool-unit LANA therefore weighs ca. 2.8 kg. This
large unit represents the wool gathered from four sheep.
13. If the second half of #089.b reads 051-051-051 041/*163 = TELA 3
double-minas, the first half of the statement (034-041/*163 084) may
specify TA-TELA LANA.
14. Hiero sign 084 looks very like a sheep face (it is a hapax
here).
Linear B LANA *145 is derived from a ligature of ma+ru (looking very like
an animal face topped by horns); the word itself is not attested in Linear
B. The same ligature MA+RU is found in Linear
A (sign *559 [and signs *558
and *560-562]) and this must be the
predecessor to Linear B *145. Since both Hiero sign 084 and AB MA+RU look
like animal faces, it is likely that Linear A MA+RU depends on
Hieroglyphic 084 for the shape (a sheep face), but cleverly spells out the
word, apparently the Minoan predecessor to Greek
"mallós", wool.
15. In Linear A the wool-unit MA+RU appears in at least two texts,
possibly four. HT 12 presents a list of commodities (including oil and
figs) from apparently three sites; QE-TU-NE also contributes MA+RU TALENT
5, presumably 50 wool-units (at 10 LANA = 1 TALENT). HT 24 presents
MA+RU from three places and further qualifies MA+RU with ME (i.e.,
MA+RU-ME, lamb's wool? [a guess, although, if sounds determine the
phonetic value of some signs, "me" may describe a lamb's bleat, and ME
does look like an animal sign -- Brent Davis, 18 Sept 09, pers. com.])
perhaps in all entries; the units are between 6 and 10
(wool-units). PH 3 lists MA+RU (along with MA+A and
MA+MA) and gives its amount at D D, the equivalent to Linear B M
(Mycenaean double mina). Thus Linear A DD is the Minoan double mina, used
for measuring wool and other commodities, representing the weight 1/3 LANA
or ca. 0.9 kg or ca. 315 gr.
Metrology
Minoan dry unit to equal the Mycenaean (96 liters) (Palaima 1994)
Liquid units: The pithos ZA Zb 3 records "VIN 32," probably
the volume, 32 units; if these are Mycenaean units (1 unit = ca. 28.8
liters), the volume of the pithos would have been 921.6 l. Since the
pithos stands about 170 cm high, its maximum capacity (as calculated from
its profile by the computer program "Vase" by Gregory Christiana,
copyright 1994) would have been slightly over 1000 liters. It is
possible, therefore, that the Minoan unit of liquid measure was also the
Mycenaean unit.
Works Cited
Bibliography from 1980 (with select works prior) (for
bibliography prior to
1980, see J.T. Hooker, Linear B: an Introduction [Bristol: Bristol
Classical Press], pp. 17-18)
Comments, corrections, questions: John
Younger: jyounger@ku.edu
For the
Linear A texts from Haghia Triada (Ayia
Triada)
For
other Linear A texts
For
Linear A religious texts grouped
separately
Bibliography
from 1980
A
Linear A Lexicon