I did this extensively when I was debating on switching to a prime. Even with tens of thousands of photos I got similar results: roughly 20% of photos taken at intermediate focal lengths and 80% at the extremes of the zoom. I found out though, that the percentages evened out when I only looked at favorites - the conclusion being that you could really make any focal length work.
I got the wider of the two intermediate focal lengths, 35, as my first prime lens, with intention of getting 2 other lenses, a 28 and an 85, but when I use the 35 I don't feel the need for another lens. Occasionally I wish it was a little tighter, but I never find it constraining even though the much-wider 28 was my go-to focal length with a zoom. I also tried a 50, which mostly works for me but is occasionally just a little too tight.
If you just want one lens, the best focal length in my opinion is 42 or 43 if such lenses were made. I mean, they are made, but there's so few options. There's such a massive difference between the 35 and 50mm fields of view that I'm surprised there isn't a standard prime lens between them.
There's hundreds of 35 and 50mm lenses but literally 4 mid-40s lenses. If you want this golden field of view that's wider than 50 but narrower than 35, you need to put a 28mm lens on an aps-c camera. The 1.5x crop factor gives a 42mm field of view.
Sorry for the rant, it's just that even though I can make 35 and 50 work for me and I've taken great shots with both, I just really wish there was standard full frame mid-40s lens. I think it would end the 35 or 50 debate and most people would prefer it.
When photographers want to differentiate themselves from those they consider lower, they make some non-evidence-based statement like, "I only shoot primes" or "I only shoot manual" or "I only shoot full frame". The perception is that it somehow makes them better than the rest. When zooms were first introduced decades ago, they were inferior.
However, design improvements have been made over the years. The simple truth is that if you shot the same subject with a prime and a quality zoom lens at the same focal length and aperture, you would not likely be able to tell which photo was taken with which lens. Unless you pixel peeped, and maybe not even then.
Expecting lots of thumbs down from prime lovers. Look up the definition of "sweet lemon rationalization".
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