Enter one side of a golden-ratio pair — shorter or longer — and get the matching side, the combined total, and a scale of sizes stepped by phi for layout work.
The golden ratio, phi, is 1.6180339887. When a longer and shorter side are in golden ratio, the longer divided by the shorter equals phi, and the total divided by the longer also equals phi. The calculator multiplies or divides by phi to find the matching side, adds the pair for the total, and builds a scale by repeatedly dividing and multiplying the entered value by phi — a quick way to size related elements, type steps or image crops in proportion.
What is the golden ratio as a number? Phi is approximately 1.6180339887. It is the ratio where the longer part divided by the shorter part equals the whole divided by the longer part.
How is the matching side found? A longer side is the shorter side multiplied by phi; a shorter side is the longer side divided by phi. The total is the two added together.
What is the size scale for? Stepping a starting size by phi gives a family of related sizes in constant proportion, handy for layout spacing, image dimensions and type sizes.