What Does the L/W Ratio Mean in Gem Cutting?
Gem cutters use the “length-to-width” or L/W ratio to determine how to cut rough gems. Learn how to choose gem designs based on a stone’s L/W ratio.
1 Minute Read
Measuring Rough Gems
First, measure the length, width, and depth of your rough, usually in millimeters. Of course, you don't need the depth for the L/W ratio, but you'll need it later in your design selection, so measure it now.
Next, take the length of your stone and divide it by its width. You'll get a figure something like this:
10 mm/8 mm = 1.25
Thus, your L/W ratio for this stone is 1.25. It's that simple.
Choosing a Gem Design Based on the L/W Ratio
Gem designs should include L/W ratios. For example, the L/W ratio for this Brilliant Marquise design is 1.401. If your rough has a ratio smaller than this, you can't use it for this design. This design is too big for your stone. You'll need to find a design with a smaller L/W ratio. You can always cut rough off and make a stone smaller, but you can't add mass to a stone to fit a design.
Pick a design for your rough that has a L/W ratio equal to that of your rough. Or, if you don't mind cutting off some weight from your gem, pick a design with a ratio slightly smaller than that of your stone.
Use the following chart to help you choose a design for your rough. You'll need to round down to the nearest ratio that fits your stone.
Standard L/W Ratios
Ovals / Rectangles | Pears | Marquise |
3 x 5 = 1.67 | 3 x 5 = 1.67 | 2 x 4 = 2.0 |
4 x 6 = 1.50 | 4 x 6 = 1.50 | 2.5 x 5 = 2.0 |
5 x 7 = 1.40 | 5 x 7 = 1.40 | 3 x 5 = 1.67 |
6 x 8 = 1.33 | 5 x 8 = 1.60 | 3 x 6 = 2.0 |
7 x 9 = 1.29 | 6 x 9 = 1.50 | 4 x 8 = 2.0 |
8 x 10 = 1.25 | 7 x 10 = 1.43 | 5 x 10 = 2.0 |
10 x 14 = 1.40 | 6 x 12 = 2.0 | |
12 x 16 = 1.33 | 7 x 14 = 2.0 | |
13 x 18 = 1.38 |
Keep these equivalencies in mind:
- Ratio = length divided by width
- Length = ratio times width
- Width = length divided by ratio
Non-Standard L/W Ratios
You can cut a non-standard L/W ratio if you have a design that calls for it. You can also create a design that uses one. However, most standard jewelry settings are calculated for standard gem sizes, so they won't work with your design. You'll have to create a custom setting for it.
Jeff R. Graham
The late Jeff Graham was a prolific faceter, creator of many original faceting designs, and the author of several highly-regarded instructional faceting books such as Gram Faceting Designs.
Related Articles
Graves Faceting Machine
Can You Make Money Cutting Synthetic Gemstones?
Barion Cut Designs for Colored Gemstones
Out Back Mining Company
Latest Articles
Classic Engagement Ring Stones
Broken Bangle — The Blunder-Besmirched History of Jade Nomenclature: Book Review
Cuprite Value, Price, and Jewelry Information
Gemstone Radiation Treatment
Never Stop Learning
When you join the IGS community, you get trusted diamond & gemstone information when you need it.
Get Gemology Insights
Get started with the International Gem Society’s free guide to gemstone identification. Join our weekly newsletter & get a free copy of the Gem ID Checklist!