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A question about stellar magnitude and the pogson's equation

Well surely the eye has different sensitivity to various wavelengths... will the pogson's equation not be affected if say I compare Betelgeuse and Rigel( both having a marked difference in spectral ...
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What is the apparent magnitude limit for the naked eye?

If you only read the question, you will answer: ''That depends on the light pollution''. Yes, it does, but if you are in the darkest night sky (Bortle class 1), what magnitude would have the faintest ...