Calculator

Golden ratio calculator

A golden cut makes the whole relate to the larger part as the larger part relates to the smaller. For a canvas, enter one side and the other side is fixed. You do not have to guess it.

Calculator form

φ ≈ 1.618. The other side and the cut are taken from the length you enter.

How to

How to use

1

Enter the side you know

A sheet width, the long side of a photo, or a length you want to divide.

2

Say whether it is long or short

That chooses multiply by φ or divide by φ.

3

Mark it on the page

The rectangle is the frame. The cut of the long side is a place for the main shape.

Examples

Sample calculations

Long side 50 cm

Short side ≈ 30.9 cm. Cut: 30.9 + 19.1 cm

Pitfalls

Common mistakes

Mistake

Centering the horizon and calling it golden → The cut sits near 62% of the length, closer to one edge.

FAQ

FAQ

Which φ is used?

The exact (1 + √5) / 2, about 1.618. Rounding to 1.6 already moves the short side by a few millimeters on a one-meter canvas.

Is this a required composition?

No. It is a useful mark. Leave it if the subject wants a different place.

Lock it in with practice

Open the free editor and apply the result — a short sketch beats more reading.