This looks really cool!

My guesses for some of the element combinations:

Major water + minor air = death/necromancy magic

Major fire + minor air = light/sun magic

Major air + minor fire = shadow/darkness magic

Major earth + minor fire = metal/steel magic

you got 2.5/4 of your guesses

you got shadow magic and metal magic correct! (i wasn't expecting anyone to get the shadow one lol)

the fire+air one is actually lightning, but you said light so that's why it's half a point

water+air is supposed to be storm magic, but that's kind of a placeholder for now since idk if that would be too similar to air magic (the storm icon is supposed to look like a storm cloud AND a skull though, so i can see why you guessed it as necromancy)

Lol yeah the shadow one was hard, but since I first (incorrectly) guessed that the one next to it was light magic, I figured that if there's more air than fire to it + the color scheme is dark then it could be shadow magic. Though the symbol confused me for a bit since it looks kind of like a dog but I also thought that animal magic would seem pretty out of place there.

I actually did assume the major fire + minor air one was electricity magic at first because of the yellow color scheme, but then I thought that if it were electricity the symbol would probably be a lightning bolt or something whereas the actual symbol looked a bit more like a sun to me, and light/sun magic is kinda like a more specialized version of fire so I guessed that.

Major water + minor air being storm magic makes a lot of sense imo, since storms can involve rain and hail which are water-based and even clouds have water in them. So personally I think it's fine to keep that as it is.

for the shadow element, it was actually meant to look like a demon or something (the "ears" are supposed to be horns) but i guess it looks a lot like a dog too. though i guess wolves are a type of dog and have a stereotype of coming out and night (when everything is "covered in shadows") so it kinda makes a little bit of sense

one of the main abilities of shadow magic users is being able to summon "shadow creatures" which are like semi-sentient black cloud-ish/smoke-like beings which can be controlled by, and take on whatever shape the user wants, so i guess that could also be an explanation for why the icon looks kinda like a dog-like creature

for shadow creature summoning, i had the idea that these beings physically cannot touch or go through light because it acts as an invisible shield of sorts, which makes them kind of similar to classical vampires (this weakness is so that they're not too overpowered, though that doesn't help when it's night-time unless you use fire magic or a flash-light).

i thought it would be cool if there was like a shadow creature character who was long forgotten or abandoned by the person who created them and wants to fit in with normal people, but can't reveal their identity and lives in hiding, and since they can't touch light, they can only travel through towns when it get's dark

also, idk if i want to keep calling it shadow magic or change the name to "smoke" magic since it fits better with the combination of air and fire, and smoke basically is just a type of air that comes from burning stuff lol

by the way, even though fire+air isn't light magic, air+water is kind of supposed to be something similar. think of how rainbows are just reflected light in the air, which only show up after it rains. so imagine being able to manipulate a rainbow's shape, change the wavelengths of colours, make it move around, and more. although i'm not too sure what to name this one. so far my only idea is naming it "mist" magic, but light magic would definitely work too

also since theres only one element left for me to name out of the current twelve, the major fire/minor earth element is "lava" or "magma". which is pretty basic so i don't think it needs much explanations

hope i didn't write too many words lol