Square of 9 calculator

Type a price, such as a recent high or low, and read the levels around it on all three wheels. Free, with no account, and the same arithmetic as the PyraTime Sq9 app.

Square45° a spoke

  1. +360°full turn69,172.02
  2. +315°69,040.58
  3. +270°cross68,909.27
  4. +225°68,778.08
  5. +180°cross68,647.01
  6. +135°68,516.07
  7. +90°cross68,385.26
  8. +45°68,254.57

68,124.00

  1. −45°67,993.56
  2. −90°cross67,863.24
  3. −135°67,733.05
  4. −180°cross67,602.99
  5. −225°67,473.05
  6. −270°cross67,343.23
  7. −315°67,213.54
  8. −360°full turn67,083.98
Open on the square wheel

Hexagon60° a spoke

  1. +360°full turn69,172.02
  2. +300°68,996.80
  3. +240°68,821.79
  4. +180°cross68,647.01
  5. +120°68,472.45
  6. +60°68,298.11

68,124.00

  1. −60°67,950.11
  2. −120°67,776.44
  3. −180°cross67,602.99
  4. −240°67,429.76
  5. −300°67,256.76
  6. −360°full turn67,083.98
Open on the hexagon wheel

Octagon45° a spoke

  1. +360°full turn69,172.02
  2. +315°69,040.58
  3. +270°cross68,909.27
  4. +225°68,778.08
  5. +180°cross68,647.01
  6. +135°68,516.07
  7. +90°cross68,385.26
  8. +45°68,254.57

68,124.00

  1. −45°67,993.56
  2. −90°cross67,863.24
  3. −135°67,733.05
  4. −180°cross67,602.99
  5. −225°67,473.05
  6. −270°cross67,343.23
  7. −315°67,213.54
  8. −360°full turn67,083.98
Open on the octagon wheel

How the levels are worked out

Take the square root of the price. One full turn of the wheel adds 2 to that root, so a turn of θ degrees adds θ/180. Square the result and you have the level. Going the other way, subtract instead of add.

For 100: the root is 10. A quarter turn (90°) adds 0.5, and 10.5² is 110.25. Half a turn adds 1, giving 121. A full turn adds 2, giving 144, which is where every wheel lands after 360°.

Square, hexagon or octagon

The wheels differ only in how many spokes split a turn. The square and the octagon have eight, 45° apart. The hexagon has six, 60° apart. So the levels at 90°, 180°, 270° and 360° on the square match the octagon's, and the hexagon's meet them at 180° and 360°.

Pick the wheel whose spacing you work with. Each one has its own page with up to three turns of levels.

What the levels are, and aren't

These are prices at fixed steps of the square root: a way to organise a chart around a turn you choose. We tested the Square of 9 on Bitcoin's daily chart against random lines of the same kind, and it did no better than chance. Treat the levels as places to look, and test them on your own market before relying on them.

Questions

Is the calculator free?
Yes. There's no account, no trial and no limit. The Sq9 app it opens works without an account too.
Which number should I enter?
A price that matters on your chart: a major high or low, or today's price if you want the levels around it. The calculator accepts decimals, so it works for currencies and small coins.
Why does every wheel give the same price at 360°?
Because a full turn always adds 2 to the square root. The wheels only split that turn into different numbers of spokes.
Does the Square of 9 predict prices?
No. It's arithmetic on the square root. Our own tests found no edge over chance on Bitcoin, so use the levels to organise a chart, not as a forecast.