The Pentax-DA 14mm is my most used lens. Contrary to what everyone is saying, I think it is the most versatile of the lenses you mentioned.
- They will all take great landscapes stopped down, but at f/2.8, the DA14mm is great for sunset/sunrise shots and interiors. I guess the others are usable at f/4, but the Sigma goes to f/5.6 at the long end. Most of my keeper landscapes aren't taken when the bright sun is overhead, but during unique or low light conditions, that is when the 14mm excels.
- The DA14mm is great for portraits. It focusses down to 7 inches, which gives you a unique perspective. It exaggerates facial features and brings out emotions. It makes adults look crazy and kids look adorable. Great for kids, bad for spouses. I also love it for street candids. It is fast enough to freeze the action and wide enough so people won't know they are in the picture.
- The DA14mm is a unique gem of the Pentax lineup. The Canon/Nikon equivalents will set you back over a grand. This is one of the primes that makes Pentax Pentax.
- Lastly, the 14mm is a bit shorter than the others, making it acceptable to carry around as an occasional use lens. I wouldn't consider it small, but if I use my homemade collapsible foam hood instead of the original, I can fit it into my smallest camera bag, making it not too much of a burden to carry around all day for the occasional shot.
10mm or 12mm at the wide end sounds great in theory, but in my opinion, it is very difficult to properly compose ultra-wide shots. 14mm is hard enough, imagine shooting at 10mm and trying to keep your shoes out of the picture
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Seriously though, lack of zooming has never been a problem for me. I have never felt the need to go much wider, and have always been able to crop my way out of problems afterwards if 14mm was too wide. I guess you can always stitch photos together if you really need to. But, I am biased because I shoot almost exclusively with primes. As with all my primes, as soon as I throw the lens on, my eye adjusts to 14mm and that's all I look for.
In the end, I would go with whatever you get the best deal on. They are all great lenses and should serve you well. Just don't discount the versatility of the DA14mm. I think it is Pentax's most underrated lens.