Due to recent tips from fellow forum members, the stakes are now like this:
1. Laowa 14mm f/4 ...
2. Sigma 16-28 f/2.8 ....
Let's see how things roll out in the next few days.
IMO you may not be sufficiently considering zoom versus prime. If your next-widest lens is 20mm, then the gap is vast between 14mm and 20mm. Compared with 20mm, at 14mm the field of view has more than twice the area, and is 43% wider and 43% taller.
14mm the viewing angle is 114 degrees, 20mm is 94 degrees, that is not 43% wider. It is about 22%.
You can't use degrees like that; projected that way, they aren't linear. We're talking about field of view. Let's use as an example a FF camera and a camera-to-subject distance of 10 ft. A 20mm lens gives a field of view of 18.0 x 12.0 ft; a 14mm lens gives a field of view of 25.7 x 17.1 ft. As I previously indicated, 25.7 is 43% wider than 18.0 (and same for the height).
So a 10mm will be twice as wide as a 20mm lens?
Yes, in terms of the width in feet (or meters) of the field of view at any given distance.
So 90 degrees is not twice as wide as 45 degrees?
You're confusing two critically-different meanings of "wide". Around a circle, 90 degrees is twice as wide as 45 degrees. But if you project those angles onto a plane at a fixed distance from the center of the circle, then 90 degrees is a lot wider in terms of distance along the plane.
Just seen images inside a room one at 28mm and one at 10mm. The 10mm image was about twice the width as the 28mm one
Only if you think 2.8x is about the same as 2.0x. It's 2.8x as wide, if the lenses are in fact 28mm and 10mm.
18mm horizontal is 90 degrees, 44mm is about 45 degrees.
Close--to get 45 degrees long the long axis requires a hair closer to a 43mm lens (about 43.46mm).
According to your figures a 36mm should be 45 degrees, but it is not.
No, you're still misunderstanding.
The basic point is that what matters to composing a photograph is the linear width (and height) of the field of view. As the angle of view gets larger, degree for degree the field of view expands more. Think of it this way: whatever is the field of view at a given distance for a lens that provides a 90 degree horizontal field of view, a (theoretical, at least for non-fisheyes) lens that provides an 180 degree angle of view does not produce a field of view that is twice as wide, but one that is
infinitely wide.
To illustrate: