Ratio Calculator

Aspect Ratio Calculator

Result:

Aspect Ratio: 16:9

New Height: 1080 px

Golden Ratio Calculator

The Golden Ratio (approximately 1.618) is a special mathematical ratio commonly found in nature and often used in design.

Result:

Shorter Segment: 100

Longer Segment: 161.8

Whole Length: 261.8

Ratio (longer:shorter): 1.618:1

Silver Ratio Calculator

The Silver Ratio (approximately 2.414) is another important mathematical ratio used in design and architecture.

Result:

Shorter Segment: 100

Longer Segment: 241.4

Whole Length: 341.4

Ratio (longer:shorter): 2.414:1

Ratio Calculator

Enter Your Ratio

:

Calculate New Values

Result:

Simplified Ratio: 1:2

First Value: 10

Second Value: 20

Essential Design Ratios Every Creator Should Know

1. Aspect Ratio: The Foundation of Proportions

The aspect ratio describes the proportional relationship between width and height. Commonly used in:

  • Screen resolutions (16:9, 4:3)
  • Photography (3:2, 1:1)
  • Print materials (ISO paper sizes)
Calculation Formula:
Aspect Ratio = Width / Height
Simplified using greatest common divisor (GCD)

2. Golden Ratio (φ ≈ 1.618): Nature's Perfect Proportion

This divine proportion appears in nature and classical art. Key applications include:

  • Layout composition
  • Typography hierarchy
  • Logo design
Golden Ratio Formula:
(a + b)/a = a/b = φ ≈ 1.618
Where a > b > 0

3. Silver Ratio (δ ≈ 2.414): The Modern Alternative

Also known as the "silver mean," this ratio offers a contemporary approach to proportions:

  • Used in Japanese architecture
  • Alternative to golden ratio in modern design
  • Creates dynamic rectangular proportions
Silver Ratio Formula:
1 + √2 ≈ 2.414

4. Folrule: Practical Ratio Applications

While not a mathematical constant, folrule represents practical ratio applications:

  • Rule of thirds in photography
  • Optimal text spacing ratios
  • Icon scaling proportions
Common Folrule Ratios:
Text line-height: 1.5× font size
Margin ratios: 1:2:1 vertical rhythm

5. Ratio Simplification: The Universal Tool

Essential for working with any proportional relationship:

  • Convert complex measurements
  • Maintain proportional consistency
  • Scale designs effectively
Simplification Method:
1. Find GCD of both numbers
2. Divide both by GCD
Example: 1920×1080 → 16:9

Conclusion: Mastering Proportional Harmony

Understanding these ratios provides a solid foundation for creating visually pleasing designs. While the Golden Ratio and Silver Ratio offer mathematical precision, practical applications like aspect ratios and folrule principles help implement these concepts in real-world projects. Remember:

  • Ratios create visual harmony
  • Consistent proportions enhance usability
  • Mathematical ratios inform but don't dictate design