In Bands of Mourning, Vendell calls to attention Fortune, Connection, Identity, and Investiture. It seems like these are the Big 4 "things" in the Cosmere (idk what to call them).
In Dawnshard, the mural of Adonalsium is shattered into four, then those four into sixteen. Could we group the Allomantic properties of all God Metals into groups of four like the regular Allomancy chart, with quadrant having some kind of control over or relationship with one of the four things Vendell was talking about?
Solid Evidence:
- Atium gives the burner access to Fortune/Destiny. (And Malatium lets you see another person's potential Destiny)
- Lerasium seems to have some control over Identity by overwriting Spiritual DNA (making someone Mistborn)
- Raysium conducts Investiture. (That's like the only thing we know about it, as far as I know)
Potential Evidence/Weird Ones:
- "Edglium" is probably what the Investiture-consuming Nightblood is made of.*
- Tanavastium:
My guess is that this is another Identity one. The shape and design of each Shardblade is unique, probably shaped by both the Radiant and the Spren.** Also, Shardblades sever things on all three realms... although now that I think about it, it doesn't sever Spiritwebs because otherwise they couldn't be healed from.
It could possibly be tied to Connection. Radiants form Connections with Spren, which manifest themselves in the Physical Realm as Tanavastium. Adolin's Connection to his blade seems to be what is helping Maya heal. Radiants are able to signal to their Spren what they need them to become through their bond.
- Trellium repels Investiture and its Hemalurgic chimeras seem to be robbed of Identity
- Harmonium stores allomantic abilities (Investiture or Identity?)
*WoB:
**WaT Spoilers:
If this is true, we might have our four Investiture metals already:
Raysium: Conducts Investiture
Trellium: Repels Investiture
Harmonium: Stores Investiture
Edglium: Consumes Investiture
Although, Harmonium is a di-shardic metal, so it wouldn't count on the 16-section chart