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Golden Ratio Calculator

Calculate proportional values using the golden ratio (1.618).
Perfect for typography scales, spacing systems, and layout proportions.

Golden Ratio Visualization

1.618
Width : Height = 1.618 : 1
PHI=1.6180339887...
x 1.618^3
x 1.618^2
x 1.618
x 1
Base Value
/ 1.618
/ 1.618^2
/ 1.618^3
RatioCalculationValue
Base x PHI^316 x 1.618^3
Base x PHI^216 x 1.618^2
Base x PHI16 x 1.618
Base Value16 x 1
Base / PHI16 / 1.618
Base / PHI^216 / 1.618^2
Base / PHI^316 / 1.618^3

Common Use Cases for the Golden Ratio

Typography Scale

Create harmonious font size progressions. Start with a base font size (e.g., 16px) and multiply/divide by 1.618 for headings and small text.

h1: 42px (16 x 1.618^2)
h2: 26px (16 x 1.618)
body: 16px (base)
small: 10px (16 / 1.618)

Spacing System

Design consistent padding and margins. Use golden ratio multiples for spacing tokens that feel naturally balanced.

--space-xs: 6px
--space-sm: 10px
--space-md: 16px (base)
--space-lg: 26px
--space-xl: 42px

Layout Proportions

Split layouts into golden ratio sections. A sidebar and main content area can use 38% / 62% (1 / 1.618) proportions.

Sidebar: 38.2% width
Main: 61.8% width
62 / 38 = 1.618

What is the Golden Ratio?

The golden ratio (PHI) is approximately 1.618033... It appears throughout nature, art, and architecture. Two quantities are in the golden ratio if their ratio equals the ratio of their sum to the larger quantity.

Why Use It in Design?

Golden ratio proportions are perceived as aesthetically pleasing and naturally balanced. Using it creates visual harmony in typography scales, spacing systems, and layout dimensions.