In the Rio Open thread an interesting topic appeared: it seems that there are some claims that Rio de Janeiro has the "bluest sky" in the world. It does not make that much sense to me, but this is an interesting topic so I will try a few words on it. I have a feeling that a certain "Polaussie" signal analysis scientist will have a lot to add.
First, from a purely physical point of view, the color of the sky is a phenomenon mostly driven by what happens in the outer layers of the atmosphere. What we call "color" is related to the wavelength of the electromagnetic waves that constitute light. The thing is that "color" is the name that we give to what we see, therefore to what is the result from the interaction from this wave with our brain. So at the end of the day we need to consider at least three "layers":
1) The wave itself and phenomena related to it;
2) What happens in our eyes;
3) What happens in our brain.
The sky is blue mainly to what happens, as I wrote above, in the atmosphere, in an effect called "light refraction". In a nutshell, light changes its direction when it changes the medium on which is traveling. Just think of the famous cover of Pink Floyd's "Dark side of the moon" (very far from my favorite Floyd albums, btw). Sunlight enters our atmosphere in a non perpendicular angle and things happen just like in the album cover. We down here on the surface are on the "blue region" (that is, most of the light that is refracted on the sky is blue. What comes straight from the sun is still white, though). This is basically why we travel by airplane and get real high in the sky, it goes to a darker blue tone. Astronauts even on very low orbits don't see blue, even fighter planes that go really high (Russian ones!) can see a dark sky (not enough atmosphere above to refract light), and why the sky turns red in sunset and dawn (different refraction angle due to different relative position of observer and sun regarding the atmosphere).
So if we were only to consider that, it would hardly be true that any city could claim to have a "bluest sky". Some geographic considerations could be made, and in that case I would say that cities in the Netherlands (bellow sea level and at reasonable latitude) would get the prize (albeit for the slimmest margin, probably impossible to discern with naked eye).
But would other physical effects come in to play? Humidity has a role, yes, as it changes the refraction angle. Not sure if it helps or disturbs the "blueness" (would need to check some numbers and do some calculations), but anyway if it is the case there are a multitude of sea level/high humidity area cities in the world, not just Rio, which is in fact not particularly humid. It could be on some sort of sweet spot, but so would be a lot of other places. I guess clean air would help, in that case Rio is also in a decent position but surely there are thousands of similar places with cleaner air.
When we consider the "what happens in our eyes" part, we basically thicken the plot above, because, among other things, different stimuli can lead to the
exact same effect on the eye cells.
Light can be mono-chromatic, that is, just one wave-length, but in most (natural) cases it is poly-chromatic, as we have wave
packets. Now, roughly speaking, the eye cells send to the brain the "average effect" of the incoming light, so (roughly speaking again) if you have two pulses of, say, 480 and 520 Nanometers of wavelength, and one with the combined intensity of both, but with 500 nm of WL, you basically see the same color (the math is not that simple, things are not
exactly linear, but the point is that there are various combinations of wave-lengths and intensities that would produce the same effect).
Why this is important? Because different wave-lengths will refract differently. So it adds some complexity to the analysis. At the same time, it is responsible for the beautiful, subtle changes in tone we see in a lot of situations. Complexity can be beautiful in simple ways too.
But what really messes up everything is what happens in our brain (not exactly a surprise, isn't it?), because our brain takes things in to context (this is true for the "our eyes part" too, in fact). We all know that if you put two colors side by side, and you change one of them, the way that you see the one which was fixed changes. So the same sky will look different in different places. Let alone the fact that different people have different eyes... last but not least, psychological effects will probably have a giant drive here (a lot of subjects on this thread would benefit from psychologist's eyes,
@El Dude). I have an impression that people in a good mood will have tendency to see the bluest skies (in a beautiful but somewhat contradictory piece of word play, thinking of my friend
@Horsa).
So, put it all together and I really think that the blueness of the sky is in the eye of the beholder. My friends from Rio (cariocas) maybe won't like it, but if you give a second thought, it is not a bad thing, as it might tell more something about their eyes rather than their city.
And, of course, that they brag like hell.