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Silver Ratio Calculator

Split a value by the silver ratio (√2). For A4, Japanese design, and layout proportions.

▶About this tool

This tool splits any number by the silver ratio (√2≈1.414) in one click. Three features: 1) Works with width, height, font size, or any value, 2) Shows both larger and smaller portions instantly, 3) Useful for A4 paper, Japanese architecture, and Yamato-e proportions.

Tool interface

Larger (√2/(1+√2)) —
Smaller —

Usage

  1. Enter a number (width, height, font size)
  2. Both larger and smaller values split by silver ratio are displayed instantly
  3. Use for A4 paper, Japanese architecture, and Yamato-e style design

When to use

A4 paper dimensions, Japanese-style layout, traditional proportions.

Examples

1000 → 585.79 and 414.21, 297 (A4 width) → 173.93 and 123.07.

FAQ

What is the silver ratio?

1:√2 (approx. 1:1.414). Used in A4 paper and Japanese architecture. More subtle than golden ratio.

Silver ratio formula?

For value N: larger = N × √2/(1+√2) ≈ N × 0.586, smaller = N/(1+√2) ≈ N × 0.414.

What is the value of √2?

√2 ≈ 1.414. A4 paper uses 1:√2 ratio. Folding in half keeps the same ratio.

How to use silver ratio in design?

A4/A3 paper sizes, Japanese-style layout, traditional proportions, Yamato-e composition.

Golden ratio vs silver ratio?

| Item | Golden | Silver |
| Ratio | ~1.618 | ~1.414 (√2) |
| \| Use \| Western art \| Japanese architecture | A4 \| |
| --- | --- |
| \| Examples \| Parthenon \| Tatami | A4 paper \| |
Both tools available.

What is A4 paper ratio?

A4 uses silver ratio (1:√2). 297×210mm, 297/210 ≈ 1.414. Folding in half gives A5 with same ratio.

Origin of silver ratio?

Used in Japanese architecture (tatami) and Yamato-e. Adopted in DIN for A-series paper, now international standard.

Silver ratio reciprocal?

1/√2 ≈ 0.707. The 'smaller' proportion when splitting.

Silver ratio for font sizes?

Base 16px → 22.6px (√2×), 32px (2×). Harmonious typography scale for Japanese-style design.

How to use silver ratio calculator?

Enter a number (width, height, font size). Get two values split by silver ratio instantly.

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