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I strongly suggest you enlarge the periscope view as big as possible. In my calculate from a normal distance to view computer screen. It's about 1º per 31 pixels (+20%, -10%). Calculate your 57º FOV using how much pixels. Then you know a ship in your periscope small than a ship in real periscope how much. In my modifiction, I even add a 21X zoom level to emulate the same size in human eye retina. And even with that, you still can not get same distinguish ability as using real optic system for your computer do not display pixels in 0.1 mm size.
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FOV through an eyepiece is obviously reduced when compared with naked eye. You are mixing here FOV and amount of detail visible or perceivable, which are two different things. I have been testing my results with REAL binoculars this summer, watching REAL ships from the beach and the FOV is correct, although of course the computer screen resolution limits the detail you can perceive (F.e. in thin parts like masts and cables, or edges of the bridge). Then I also have readed many reports and manuals about the periscopes and their limitations, and you can be sure that using them required experience and ability. The amount of detail and size you suggest is in my opinion way better than the one available on real WW2 periscopes, not counting the dirt and humidity condensed in the lense, water reflections and other many variables that cause noticeable distortion to the image.
But again that's only my opinion and how I prefer the game to look like. I did the mod for my personal use but decided to share it in case someone else liked it and hadn't the skills to create his own one. I'm not going to introduce other modifications that those I like, so anyone not satisfied with the optics, just unistall them or modify them (I gave blanket permission for that in the readme in anything related to my own work).
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And I also strongly against using 2 circles style to show binoculars and UZO. It's looks not professional at all.
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I also have a version with only one circle in the middle, showing the correct vision when the eyes are pressed against the rubber. I will upload it as alternative for those who prefer it
Thanks