System Library

2/3 · Rescaled

The Turkish 2/3 system in its rescaled form: long-short-long without side, the start 5 a diamond, the aim 10 and the arrival 7.5. Subtract the arrival from the start, then account for the table correction.

FormulaAim = Start − Arrival + table correction

40 35 30 25 20 15 10 5 50 40 30 20 10 0 45 37.5 30 22.5 15 7.5
  • Start
  • Aim
  • Arrival

Practise it on a real-physics table

Guided positions, practice and scored challenges for this system, free to try in your browser.

Practise in 3C Arena

How it works

From the System Library: the 2/3 system's rescaled numbers, checked in this game's physics but not reviewed by a coach. They are exactly half the full 2/3 numbering, so they sit on its rails, halved.

The Turkish 2/3 system, long-short-long without side. Its original formula is Aim = (Start − 1.5 × Arrival) ÷ 2; the rescaled numbers fold the 1.5 and the halving into the scales, so the working is a plain subtraction: Aim = Start − Arrival.

The three scales step differently — the start 5 a diamond, the arrival 7.5 and the aim 10 — exactly half the No Side · 1.5 numbering's. The source's own example: start 15, arrival 15, aim 0, the corner.

Reading the numbers

Start On the near long rail, along the line the cue ball leaves the red on: 40 in the corner, 5 a diamond down to 5 at the seventh diamond.

Aim On the first cushion, the far long rail: 0 in the far corner, 10 a diamond back to 50 at the third diamond.

Arrival On the third cushion, back on the near long rail: 7.5 at the seventh diamond, 7.5 a diamond up to 45 at the second.

Step by step

  1. Choose the arrival: where on the third cushion the cue ball must land to make the second object ball.
  2. Read the start from the line the cue ball leaves the red on, traced back to the near long rail.
  3. Aim = Start − Arrival. Start 15 to arrive at 15 aims at the corner, 0; start 40 to arrive at 30 aims at 10.
  4. The new aim moves the line, so re-read the start and work it once more. Then add the table correction.

The stroke

No side, a touch of follow, level cue, medium speed.

Other systems

All diamond systems →