Here's how I've been converting manufacturer provided FOV width specs at a given distance and magnification into apparent FOV in degrees:
AFOV in degrees = magnification * arctan(FOV at target / distance to target)
Note, the FOV at target and distance to target from the manufacturer specs need to be in the same units, so meters and meters, feet and feet, or yards and yards.
So for the S&B 6-36 euro model, from the S&B specs at 36x you get:
36 * arctan(1.25m / 100m) = 25.78 degrees AFOV
And as a sanity check for my math, here's the math for the March 4.5-28 which March specifically says has a 25 degree eyepiece. March says the fov at 28x at 100m is 1.56m, so for the AFOV we get 28 * arctan(1.56/100) = 25.02 degrees, which matches what March says.
To convert from the easy field test of observed FOV through the scope reticle in mils to apparent FOV in degrees:
2 * magnification * arctan(FOV in mils / 1000)
So for the S&B euro model that was reported by a member above above to have a through the scope FOV of 9 mils on the reticle at 25x you get
2 * 25 * arctan(9 / 1000) = 25.78 degrees observed AFOV at 25x, which matches the S&B FOV specs at 36x.
If I'm incorrect, feel free to correct.
View attachment 8244023
Just for fun, here's the AFOV of various popular scopes at their max magnification in order of widest to narrowest based on published manufacturer specs.
- NX8 4-32: 27.5 degrees
- S&B 6-36 non-USA spec: 25.78
- US optics FDN 5-25: 25.06
- March 4.5-28 wide angle: 25.02
- S&B 3-20: 24.06
- Razor G3 6-36: 24.06
- XTR 3/Pro 5.5-30: 24.06
- Kahles K525 DLR: 23.39
- XTR 3 3.3-18: 23.37
- ZCO 5-27: 23.2 (advertised, based off under reports US model may be narrower, possibly <22 degrees)
- Tangent/Premier/Minox 5-25: 22.92
- ATACR 5-25: 22.92
- Zeiss S3 4-25: 22.92
- Zeiss S3 6-36: 22.69
- Razor G2 4.5-27: 22.68
- Tract 4-25: 22.44
- Leica PRS 5-30: 22.34
- NF ATACR 7-35: 22.05
- S&B 6-36 USA spec: 21.66
- Tangent 7-35: 21.66
- S&B 5-25: 21.48
- Cronus BTR 4.5-29: 21.21
- Tract 4.5-30: 21.2
- Bushnell XRS3 6-36: 20.63
- Bushnell LRHS2 4.5-18: 20.62
- Bushnell DMR3 3.5-21: 20.45
- Leupold MK5HD 5-25: 20.05