The following chart features the basic Linear B syllabary.
In addition to the standard syllabic grid, there are optional signs
used to clarify the spelling of a word. Some of these signs can be
considered "short-hands" in that they represent dipthongs.

Note that I use traditional transcription here, where j
actually represented the sound [y], q
is actually the sound [kw], and z is theorized
to be [dz].
This system was apparently designed for a non-Greek language, as it
did not fit the sounds of Greek very well. In fact, it is likely that
Linear A was used to write the pre-Greek
language of Crete, and the incoming Greeks adopted this writing system
for their own use, but without changing how the system fundamentally
works. In doing so, they developed "spelling conventions" to
represent sound patterns found in Greek but not in the syllabary.
First, there are many Greek sounds that are missing in Linear B signs,
such as [g], [kh], [gw], [b], [ph], [th], and [l]. To solve this problem,
signs for similar sounds are used instead:
p-signs are used for [p], [b], and [ph];
k-signs are used for [k], [g], and [kh];
t-signs are used for [t] and [th];
q-signs are used for [kw] and [gw];
and r-signs are used for [r] and [l].
However, while this convention was likely easily understood by ancient
Mycenaean scribes, it took modern scholars a lot of theoretical analysis
and work, plus comparison with later Greek dialects and reconstructed
Mycenaean words to rediscover how this system works. The following
chart illustrates cases where the same sign can stand for multiple sounds.
Another inadequacy stems from the fact that Linear B signs usually
represent Consonant-Vowel (CV) syllables, but the syllabic
structure of Greek allows initial consonant clusters, ending consonants,
and dipthongs. In the case of a syllable with a initial consonant cluster,
individual consonants in the cluster are written by a CV sign whose vowel
matches the vowel of the syllable. Therefore, for example, the word
tri is written as ti-ri, and khrusos as
ku-ru-so. In the case of ending consonant, the situation
becomes more complicated. Ending consonants such as [l], [m], [n], [r],
and [s] are not usually written, whereas other consonants such as [k]
and [p] are written in a way similar to initial consonants.
The following chart shows how consonants are written out. The first
line illustrates consonant clusters, the second line shows ending
consonants that are omitted, and the third line gives examples of ending
consonants that are written.
Dipthongs are similar to ending consonants in that sometimes they are
written and sometimes omitted. Dipthongs ending with [-u] are usually
written out completely, with a preceding sign denoting the first vowel
in the dipthong, followed by the u sign that denotes the dipthong's
second vowel. For example, the word leuka is written as re-u-ka.
Also, the optional sign a2 also stands for a word-initial
[au] dipthong.
A dipthong ending in [-i] usually omits the second vowel of [-i],
such as poimen is written as po-me, and pherei
as pe-re. However, once in a while all vowels in the
dipthong are indicated, either by spelling out each of the vowels in the
dipthong (such as the city "Phaistos" is written as pa-i-to), or
with the optional signs illustrated above (such as a3
and ra3).
Dipthongs with starting [i-] or [u-] are usually written completely.
In some cases, vowel-only signs are used to indicate the second vowel in
the dipthong (such as [kia] is written as ki-a). However, most
of the time, a sign of either the wV or the jV type is
used to indicate the entire dipthong, with the vowel in the preceding
CV sign matching the first vowel in the dipthong sign (in this
case, [kia] is written as ki-ja). Also, in a few cases, an
optional sign with a dipthong, such as dwe and twe, is
used.
In addition to phonetic signs, Linear B also has several logograms.
These logograms represent people, animals, plants, and physical objects.
Some of the logograms are pictorial in appearance, leaving no doubt what
they represent, while others are more iconic or symbolic.
Some syllabograms also double as logograms. Curiously, the phonetic
values of these syllabograms do not match the word they represent. For
example, the logogram for 'sheep' is the qi syllabogram, but 'sheep'
in Mycenaean Greek should be owis (compare with Classical Greek
ois, Latin ovis, etc). In the following example, you can
compare the syllabogram's phonetic value (red text on second line) with
the reconstructed Mycenaean Greek word (blue text on the fourth line):
It is theorized that these dual-role signs represent initial syllables
of words in the language underlying Linear A, as many ancient writing
systems create phonetic signs by using pictographs of objects to represent
the initial sound or syllable of the objects' names (a contrived example in
English would be using a picture of an apple to represent the [a] sound).
In addtion, logograms can be created by putting two or more syllabograms
into a ligature.
Finally, for certain animals, the sex of the animal can be marked by
extra strokes to the logogram. The basic logogram usually represents the
species of the animal, whereas two short horizontal lines denotes the male
of the species, and an extra vertical line denotes the female.
The number system of Linear B is fundamentally base-10. It has five
signs, each of which denotes a power of 10, i.e. a vertical line stands
for 1, a horizontal line for 10, a circle for 100, and so on.
To write a number, you begin with the highest power of 10, and go
toward lower ones. For each power of 10, you repeat the corresponding
sign until you reach the desired multiple. Here is an example:
Many thanks to Curtis Clark (jcclark@csupomona.edu) for his
Linear B font. You can visit his page at
http://www.csupomona.edu/~jcclark/fonts/
Related links: