^Nice write up. Definitely some things to consider for my next session. My umbrella is something from the early 1970's - a dingy white-ish 30" shoot through. It was about 24" from my right and slightly above. I thought about setting up a reflector on my left to help with the left side of my face, but sadly, I couldn't find anything to use. I wish I had another speedlight or maybe some Alien Bees or something to give me more options. - a rim light would be nice. I do see how the shadows play tricks with symmetry so this was a good lesson in that aspect. I also have a 36" silver umbrella. - What would that do?
Umbrella size and umbrella type plays a major factor in head-and-shoulders type shots, done indoors at closer distances. When shooting a shot like the above, a 30 inch umbrella will have sharper shadows, and less "wrap" than say a 40 or 43 inch umbrella. I own two 30 inchers, and four 40-inchers. I prefer the 40 inch size for their slightly softer light. Some people rave about 60-inch umbrellas, but they're so damned BIG they're hard to use in anything except high-ceilinged rooms.
I own two real "silver" umbrellas, the Speedotron silver metallized umbrella, this one
Speedotron 24537 34" Metalized Reflector Umbrella 24537 in the 34-inch size and I also have a brand new, like 40 year-old used model I picked up last month and have not tried. What this type of umbrella does is creates a more-crisp light...the light is a bit "harder"...it creates more specularity, meaning it creates hotter highlights, and this makes skin "glow" more than white surface umbrellas would.
Also, shoot-through versus reflecting is "different". Neither type is necessarily better, but each is definitely "different". In a word, shoot through often allows/encourages users to position the light closer to the subject's face, which causes very rapid fall-off in light intensity due to 2 factors; the inverse square law as mentioned above (not by name) and secondly, most shoot-through umbrellas when used with a speedlight have a very
hot center of their beam, and the edges are very weak light. This typically leads to a hotter, more-specular highlight forming on rounded parts of human faces. Most shoot-throughs have a sort of signature that's very much like other shoot-throughs have.
Reflecting umbrellas, in dull white interior, or even the semi-silvery-but-mostly-whitish sort of "satin or silk-like" interior, diffuse and scramble the light MORE than a shoot-though tends to. Because the shaft is extended, these are often by necessity, positioned TWICE AS FAR AWAY from a subject as a similar-sized shoot-though would be. Also, because the whole "bowl" of the umbrella is reflecting the light, it tends be
MORE-diffused light than a shoot-through. Not "better", not "worse", but simply different kind of light. Because of the shaft sticking out, a reflecting umbrella's greater distance on a headshot or head and shoulders shot will almost always make the light fall off less-rapidly, due to distance. The light is lower in intensity, but it drops away to shadows much more-slowly, even being moved back 16 to 30 inches farther away than is possible with a shoot-through.