The golden ratio φ = (1 + √5) / 2 ≈ 1.618 appears throughout art, architecture, typography, and nature. This calculator splits a length you already know into its golden-ratio segments, so you can size columns, font scales, image crops, and spacing with proportions that feel balanced.
How it works
Two quantities a (longer) and b (shorter) are in the golden ratio when:
(a + b) / a = a / b = φ ≈ 1.6180339887
You enter one known value and tell the tool whether it is the longer or shorter segment:
- Longer segment: the shorter part = value ÷ φ, and the whole (a + b) = value × φ.
- Shorter segment: the longer part = value × φ.
In short, divide by φ to step down a level and multiply by φ to step up.
Example
You set a hero heading at 100 px and treat it as the longer segment:
- shorter part = 100 ÷ 1.618 = 61.8
- whole (a + b) = 100 × 1.618 = 161.8
So a balanced pairing is a 100 px element next to a ~62 px element, summing to ~162.
| Known value (longer) | Shorter (÷ φ) | Whole (× φ) |
|---|---|---|
| 16 | 9.89 | 25.89 |
| 100 | 61.80 | 161.80 |
| 960 | 593.32 | 1553.28 |
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