Q: What are masterwork rolls?
A: Most legendary weapons are capable of being Masterworked. The masterwork system is a way for you to upgrade your favorite weapons to their maximum potential.
Q: What does it take to upgrade a weapon to a masterwork?
A: Upgrading your weapons, in broad terms, takes a small amount of glimmer, legendary shards, and, most importantly, Enhancement Cores.
Depending on what Tier your weapon is at, the requirements to raise it to the next tier increase the closer the weapon is to being fully masterworked (Tier 10).
Q: What benefits do I get for masterworking a weapon?
A: Each tier that you increase your weapon will grant a small buff to a single stat, chosen randomly when the item drops.
Beyond that, at Tier 5 you gain access to a kill tracker. At Tier 10, your multi-kills will generate orbs of light.
Q: So what are these "masterwork roll" stats?
A: These are the possible stats that upgrading your weapon will grant a bonus to. Depending on what tier you are at, you can grant anywhere from 1-10 additional points in any of the stats listed to your weapon.
Q: Any catch with this?
A: The Bungie API currently says that all weapons can potentially roll with all stats as their masterwork stat. This obviously isn't accurate, as Blast Radius isn't applicable to, say, Auto Rifles.
The list you see on this page is trimmed to only show stats that actually appear on the weapon. However, it is possible that Bungie has additional logic behind the scenes that further filters these
possibilities to, for example, prevent certain items from being able to have an Impact masterwork. Until Bungie modifies the API files to 100% accurately display which masterwork stats are possible on
each item, take what you see here with a pinch of salt.
Take your pick of Relentless, Tireless and Unrelenting from Column 3, depending on if you value hitting chunky things, hitting smaller things, or not dying while hitting smaller things. From Column 4, Incandescent if you want to set the world on fire, Whirlwind if you want to do maximum deeps, and Valiant Charge if you want to meme or if you want to do decently in PvP. Its no Eager Edge, but nobody can be Eager Edge and if you don't want to use the Halo Swords this is literally the next best thing.
Overall, its not a bad Solar Adaptive. Unrelenting makes it the best of the bunch for Survivability, but you could probably find a better sword out there for your needs - like the Taken version of this sword. That one is pretty cool. But if you like this sword and its rolls, it will serve you perfectly fine.
It has Unrelenting and Incandescent, making it worth using if you just want an add clear sword.
note that caretaker exists, but doesnt have unrelenting making it have worse survivability
Collective action is also great for a damage boost.