Linear A and BLogograms, Numbers and Tablets

Aegean Numbers

Strokes for ones, bars for tens, circles for hundreds, circles with rays for thousands; you add them up, and the order of the groups does not change the value.

Not started Jump to practice

Almost every Linear B line ends in a number, so reading numbers is the most useful skill on the tablets. Happily, the Aegean numbers are easy. Linear A uses the same system, so this lesson serves both scripts (Linear A's fractions come in Linear A Numbers and Fractions).

Key idea

Strokes for ones, bars for tens, circles for hundreds, circles with rays for thousands, and circles with rays and a bar for ten thousands. You add them up, like tally marks. Groups are written largest first, but the order does not change the value.
The Aegean numerals.
ValueMarkExample
1an upright stroke𐄉 = 3
10a level bar𐄑 = 20
100a circle𐄜 = 400
1,000a circle with rays𐄣 = 2,000
10,000a circle with rays and a bar𐄫 = 10,000
The number 1,352: one thousand, three hundreds, five tens and two ones.

Reading a number

  • Find each group of marks: rayed circles, circles, bars, strokes.
  • Count each group.
  • Multiply by the group's value and add.

Why it works

Why is this "additive" and not "place value" like our digits? In 352 written our way, the 3 means three hundreds only because of where it stands. In Aegean numbers each mark carries its own value wherever it is: a circle is always 100. So you never need a zero: 2,005 is just two rayed circles and five strokes. The cost is that big numbers take many marks.

Common mistake

Treating the numerals as place value, like our digits. Each mark has its own value and you add them, as with Roman numerals but with no subtraction (there is no "IV"-style rule). Check: count circles as hundreds and bars as tens wherever they stand; three bars is 30, not 3.

Totals use the same marks. A Linear B list often ends with a line beginning to-so (tosos, "so many"), followed by the sum of the lines above. Big totals show how large the palace operations were: flocks counted in thousands, grain in hundreds of units.

Worked example: A bigger number

What number is 𐄣𐄜𐄕𐄎?
  1. 2 rayed circles: 2,000.
  2. 4 circles: 400.
  3. 6 bars: 60.
  4. 8 strokes: 8.

Answer: 2,468

Build 247 with the mark buttons, then check.

Worked example: Read it

What number is 𐄛𐄔𐄈?
  1. 3 circles: 300.
  2. 5 bars: 50.
  3. 2 strokes: 2.
  4. 300 + 50 + 2.

Answer: 352

Worked example: Write it

How many marks of each kind make 2,005?
  1. 2 thousands: two rayed circles.
  2. 0 hundreds and 0 tens: nothing.
  3. 5 ones: five strokes.

Answer: Two rayed circles and five strokes: 𐄣𐄋

Practice

Pass with 3 right answers, the last 2 in a row. Each right answer earns 1 XP.

Loading practice…

Builds on

Nothing before it: a good place to start.

Leads to

Sources and further reading

@teddyrookbook GitHub