Golden Ratio Calculator
Split any length by φ = 1.618 — larger and smaller golden values, segment division and a visual proportion bar.
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Proportion bar
φ in Practice
The golden ratio φ = (1+√5)/2 ≈ 1.6180339887 divides a whole so the larger part relates to the smaller as the whole does to the larger: a ÷ b = (a+b) ÷ a. Enter any value to get its golden partners: 100 → larger 161.8, smaller 61.8, and the 61.8 / 38.2 split of the value itself.
Designers reach for it to proportion layouts (a 1000 px container splits into 618 + 382 px columns), crop images, size type (the 1.618 type-scale ratio), and set logo spacing. It is a starting proportion, not a law — plenty of beautiful design uses 3:2 or 4:3; φ simply gives you a defensible default.
Frequently Asked Questions
How is φ related to the Fibonacci sequence?
Ratios of consecutive Fibonacci numbers (8/5, 13/8, 21/13...) converge to φ. That is why 8/13/21 px spacing systems feel golden-ish while staying integer-friendly.
Is the golden ratio objectively more beautiful?
Evidence is mixed — controlled studies show weak or no universal preference. Its real value is consistency: one ratio applied everywhere reads as intentional.
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Golden Ratio Calculator