Enter the length and width of the emerald cut gemstone into the calculator to determine the Emerald Cut Ratio; this calculator can also evaluate the length or width given the other variable is known.

Emerald Cut Ratio Formula

The following formula is used to calculate the Emerald Cut Ratio:

Emerald Cut Ratio = (L / W)

Variables:

  • Emerald Cut Ratio is the ratio of the length (L) to the width (W) of the emerald cut gemstone.
  • L is the length of the emerald cut gemstone.
  • W is the width of the emerald cut gemstone.

To calculate the Emerald Cut Ratio, divide the length of the emerald cut gemstone by its width.

What is a Emerald Cut Ratio?

The Emerald Cut Ratio refers to the proportion between the length and width of an emerald cut gemstone, typically a diamond. This ratio is used to determine the overall shape and appearance of the stone. The classic emerald cut ratio is 1.50, meaning the length of the stone is 1.5 times its width. However, the ratio can range from 1.30 to 1.60, depending on personal preference. A lower ratio will result in a more square-shaped stone, while a higher ratio will produce a more rectangular shape. The emerald cut ratio is an important factor to consider when purchasing a gemstone, as it can significantly impact the stone’s brilliance and how it interacts with light.

How to Calculate Emerald Cut Ratio?

The following steps outline how to calculate the Emerald Cut Ratio.


  1. First, determine the length of the emerald cut ($L$).
  2. Next, determine the width of the emerald cut ($W$).
  3. Next, gather the formula from above = ECR = $L / W$.
  4. Finally, calculate the Emerald Cut Ratio.
  5. After inserting the values of $L$ and $W$ and calculating the result, check your answer with the calculator above.

Example Problem:

Use the following variables as an example problem to test your knowledge.

Length of the emerald cut ($L$) = 8 cm

Width of the emerald cut ($W$) = 4 cm