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Calculating Emerald Cut Pavilion & Crown Angles

Triumph765

Rough_Rock
Joined
Dec 28, 2024
Messages
13
I've found several resources online that say you can calculate pavilion and crown angles if you have the depth & height %.

Pavilion Angle = Tan-1 (Depth % / 50)

This doesn't seem to add up with Emerald Cuts. For example the excellent cut depth % range per IGI is 47-53. If the only variable in the pavilion angle equation is the depth % this would mean the correlating angles within this range would be 43.22°-46.66° all of which are out of range. I've tried this equation on emerald with known depth % and pavilion angles and they do not compute correctly.

Does anyone know the correct way to calculate this or can let me know what I'm doing wrong?

Screenshot 2025-01-01 103335.png
 
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