Runar Ovesen Hjerpbakk

Software Philosopher

Golden Ratio Calculator++

Make your layouts divine

Golden Ratio Calculator++ calculates the width or height of a rectangle using the golden ratio, the silver ratio or any other ratio of your choice. You have the length of one side, Golden Ratio Calculator++ finds the other. Golden Ratio Calculator++ is the best and fastest way to easily incorporate the golden ratio in your layouts or designs!

I build my own canvases and like to use the four ratios preset in this app. This app also gives calculations for any other random ratio by using the slider while also giving an immediate visual of the shape proportions. Multiple decimals are available in settings. All functions are quick and easy. This is the perfect app!

— muralwork

Buy Golden Ratio Calculator++ on the App Store


  • Instant calculation using any ratio
  • Preloaded with the Golden, Silver, Bronze and Yamato ratios
  • Result are copyable to other apps
  • Dark mode if you please
  • Use quick actions to open the app with your favorite ratio
  • Use Spotlight to find your ratio from anywhere
  • Supports up to 5 decimal place

Beloved by users, Golden Ratio Calculator++ will make your creative life easier:

The Golden Ratio is just as useful as Pi. Your calculator is just what I was looking for. I could do the same thing with a Calculator or a Slip Stick but your App is SO much faster. THANK YOU!

— Paul K. Bowden

The calculated value is automatically added the pasteboard, making it easy to use it in other apps. You can also adjust the accuracy of calculation, making the results suited to your needs.

Golden Ratio Calculator++ comes preloaded with a host of useful ratios, all of them also available as quick actions or from Spotlight:

The golden ratio is a special number approximately equal to 1.618. It appears many times in geometry, art, architecture and other areas, often with pleasing results. It has been called divine proportion due to its numerous occurrences in nature.

The silver ratio arises in many mathematical and geometric expressions. The name is an allusion to the golden ratio; analogously to the way the golden ratio is the limiting ratio of consecutive Fibonacci numbers, the silver ratio is the limiting ratio of consecutive Pell numbers. You can cut A-series paper in half repeatedly and maintain the silver ratio.

The bronze ratio is often used in origami for making shapes with 30°, 60° or 120° angles.

The Yamato ratio is the ratio used for the face of a Buddha statue, Japanese architecture, sculptures and flower arrangements.

All these ratios make the app incredibly useful while doing design or layout work.

Do you have a favorite ratio that is not yet in the app? Let me know.

What’s new

2021.1 (current version)

  • Small performance improvements.


  • Finally added Dark Mode, the app will use your selected appearance
  • The calculated value is automatically added to the clipboard for easier sharing with other apps
  • The ratio selection box is no longer empty when no named ratios are selected
  • Width and Height can be separately adjusted in any orientation


  • Squashed two small bugs


  • Added large titles
  • FIXED: iPhone X scrolling bug


  • Better support for iPhone X
  • Adjusted look and feel to align better with iOS 11
  • Improved experience while rotating the rectangle quickly multiple times in sequence


  • The Width and Height labels now switch places when the rotate button is pressed
  • Adjusted the size of the illustration rectangle


  • Added support for 3D Touch! All the ratios are now available as Quick Actions from the home screen. Press deeply on the Golden Ratio icon and gain access to your favorite ratio in only one click


  • Added two more ratios: Yamato Ratio (1.414) and Bronze Ratio (3.303)


  • Golden Ratio Calculator is now ready for iOS 9!


  • Golden Ratio Calculator is now ready for iOS 9!


  • In addition to the actual value, the percentage of the calculated value is shown
  • The number of decimals can be changed in the newly added Settings-screen
  • The color of the illustration rectangle changes as the ratio slider is moved further from the golden or the silver ratio
  • Added link to the golden ratio Wikipedia entry
  • Golden Ratio Calculator can be rated and feedback can be given from within the app
  • And the app is now 64-bit!


  • FIXED: Width and Height showed each others values in certain situations
  • FIXED: Illustration rectangle is scaled down if it would otherwise overflow the screen

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