I suppose it would be reasonably easy to determine what percentage of the output is in the middle 20 degrees of the cone of light, but I didn't even try that. So, I'm not at all sure if this will give the intensity I want. The rest of the cone also emits light, but at a lesser intensity, and that adds to the intensity where it overlaps too. (Just random thoughts as I have been thinking about this.) If nothing else this is an interesting subject to study.
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