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.

Is Silver Ratio Calculator free?

Free to use, no sign-up required.

Is data sent to a server?

Data stays on your device; we do not store it on our servers.

Supported browsers?

Tested on recent Chrome, Edge, Firefox, and Safari.

Offline use?

Core features work offline after the first load.

vs CLI or desktop apps?

Silver Ratio Calculator is an install-free online alternative to CLI or desktop apps.

When to use it?

Use it when: A4 paper dimensions, Japanese-style layout, traditional proportions.

Usage example?

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

Main features?

Instant silver ratio split, Both larger and smaller values, Any number input

How is this different from similar tools?

Silver Ratio Calculator runs in the browser with no install—ideal for quick checks before heavier CLI or IDE workflows.

Search keywords

白銀比, A4, デザイン, 日本, √2, 白銀比 計算

Basic workflow

  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

Practical use cases

  • A4 paper dimensions, Japanese-style layout, traditional proportions.
  • 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.
  • Instant silver ratio split
  • Both larger and smaller values

Privacy & data handling

Data stays on your device; we do not store it on our servers.

Things to watch out for

  • Always double-check before pasting output into production
  • Try incognito if extensions break the page
  • Wait for processing on large inputs

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