Linear A and BLinear A

Linear A Numbers and Fractions

Linear A counts with the same decimal marks as Linear B and also has fraction signs; J as one half is widely accepted, while values for the others are proposed.

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Linear A uses the same counting marks you learned in Aegean Numbers: strokes, bars, circles and rayed circles. So you can read every whole number on a Linear A tablet today. But Linear A also has something Linear B lacks: signs for fractions.

Key idea

Linear A counts with the same decimal marks as Linear B and also has fraction signs, named by letters. J as one half is widely accepted; values for the others (E 1/4, F 1/8, K 1/10, B 1/5, D 1/6) are proposals, and H, A and L are uncertain or unknown.
The Linear A fraction signs with their proposed values and how sure each one is.
Linear A fraction signs.
SignLetterValueHow sure
𐝆J1/2accepted
𐝃E1/4proposed
𐝄F1/8proposed
𐝇K1/10proposed
𐝁B1/5proposed
𐝂D1/6proposed
𐝅H1/16?uncertain
𐝀A1/24?uncertain
𐝈L?unknown

How the values were found

Nobody can read a Linear A word for "half". The values come from arithmetic. Some lists end with a total (Ku-ro, the Total), so the entries must add up to it. When a list with fractions adds up only if J is one half, that is evidence for J. Scholars work through many lists this way. J fits again and again; the other values fit some lists and are disputed in others. Signs can also combine: JE is read as 3/4, if E is 1/4.

A Linear A list whose total works only if J is one half: 10 + 5 + 3½ + 1½ = 20.

Why it works

Why is the arithmetic test convincing for J but not for the others? J appears in many lists, and in list after list the totals work with J = 1/2. Rarer signs appear in fewer lists, often damaged, so several values might fit, or none fits perfectly. A value proved by one list could be a coincidence; a value that works in dozens is not.

Common mistake

Giving every fraction sign a firm value. Only J is widely agreed; the rest are proposals worked out from how the numbers add up. Check: in a problem on this site, you will be asked to add with J; other fraction signs are marked "proposed".

Worked example: Add with J

Add 3 J and 1 J, where J is one half.
  1. 3 J is 3 and a half; 1 J is 1 and a half.
  2. 3½ + 1½ = 5.

Answer: 5

Worked example: Read it

What number is 𐄑𐄉 followed by J?
  1. Two bars and three strokes: 23.
  2. J adds one half.

Answer: 23½

Practice

Pass with 3 right answers, the last 2 in a row. Each right answer earns 2 XP.

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Sources and further reading

@teddyrookbook GitHub