Golden Ratio Calculator

Calculate golden ratio proportions for any number. The golden ratio f (1.618) appears throughout nature, art, and design. Enter a measurement to find the proportionally longer side (�1.618) and shorter side (�1.618) - perfect for layout grids, typography scales, and visual harmony.

FAQ

The golden ratio (f, phi) is approximately 1.618. Two quantities are in the golden ratio if their ratio equals the ratio of their sum to the larger quantity. It appears in nature (spirals, plants), classical architecture (Parthenon), and is widely used in modern UI/UX design.

Start with your base font size (e.g. 16px). Multiply by 1.618 to get heading sizes: 16, 26, 42, 68, etc. Or divide to get smaller text sizes. This creates a harmonious typographic scale that's visually pleasing and mathematically consistent.

Designers use f to create visually pleasing proportions for layouts, typography scales, and logo design. A common technique: divide a layout into sections using the golden ratio (e.g., main content ~ 1.618 x sidebar width). It's a guideline, not a strict rule — good design also depends on content and context.

The ratio between consecutive Fibonacci numbers (1,1,2,3,5,8,13,21...) approaches f (1.618) as the numbers increase. 8/5=1.6, 13/8=1.625, 21/13~1.615, converging to f. This connection between additive sequences and geometric proportions appears throughout nature.

For a two-column layout, enter the total width. The result gives you the wider column (�1.618) and the narrower column (�1.618). For vertical spacing, use the ratio to determine ideal content/sidebar proportions.