Oh, nevermind, just saw you have both already

Okay, I like this. It is goblin tribal, which I'm not too hip on trying, but I would love to create a Purphoros EDH deck based on this. Do you have any recommendations for how to make up for the lack of goblin synergies if I was to leave that out?

On the other hand, I do have some thoughts on a few cards.

Brightstone Ritual, Battle Hymn, and Dragonrage all seem like solid options for your build, but I'll admit the only space I see for them is to replace the artifact based ramp you have. Would you think they're worth it? If nothing else wouldn't Braid of Fire be a suitable replacement to at least work with Purphoros' active ability?

Could Commune with Lava effectively replace Reforge the Soul?

Hanweir Garrison and the Hanweir Battlements

Good news! Kaladesh is bringing Purphoros a new toy: Panharmonicon allows Purphoros to trigger twice per creature, for 4 damage on each creature entering the battlefield. Rejoice!

Hi,

I have a similar deck, Light your ass up!. Nice build! I don't use infinit combo's in my deck, my playgroup already hates purphoros.I would try to avoid making purphoros a creature to avoid Path to exile and friends. This is why i'm more fond of an additional sac outlet like Ashnod's Altar. I would Hellion Eruption, it makes you sack your commander or it is mostly a dead card in your hand. While you have a lot of mana ramp, good to get your commander early, it is easily killed and only gives mostly one mana/ card. I would cut one or 2 and replace them with Thran Dynamo or Hedron Archive and Sensei's Divining Top. +1

Any reason not to use Mountains instead of Snow-Covered Mountains?

Sneak Attack is a solid option and was recently reprinted.

Pia and Kiran Nalaar is Beetleback Chief v2.0

Flameshadow Conjuring copies our critters for

Stoneshaker Shaman anti- tech. Also makes for a larger Mana Geyser

Oh, and Feldon of the Third Path can also be good. Note that the tokens are sac'd not exiled so goblins like Mogg War Marshal and Goblin Marshal's dies/EtGY effect still triggers.

Lifeline, to make Goblin Bombardment a really nice finisher. Sac all but your indestructible commander, and watch them come back for ETB damage.

Try Skullclamp for draw

Have you considered any of the damage triplers, such as Fiery Emancipation or City on Fire?